Download Georgia Standards Alignment Grades One through

Georgia Standards Alignment
Grades One through Twelve
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Georgia Standards Alignment
Standards List with Aligned Product Skills
The Standards List with Aligned Product Skills Report is a standardsoriented document showing the entire list of standards for the subject
and grade on the left side of the report with the aligning product
objectives on the right side. This alignment report shows the breadth
of standards coverage for the purpose and focus of this product.
Note to Educator
.....................................................iii
Grade 1
..................................................... 1
Grade 2
....................................................10
Grade 3
....................................................18
Grade 4
....................................................28
Grade 5
....................................................38
Grade 6
....................................................47
Grade 7
....................................................58
Grade 8
....................................................67
Mathematics I: Algebra .............................................76
Accelerated Mathematics 1 .........................................85
Mathematics III
....................................................96
Accelerated Mathematics 2 .......................................107
Mathematics I: Geometry .........................................120
Accelerated Mathematics 3 .......................................129
Mathematics 4
..................................................138
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written consent of Renaissance Learning, Inc.
ii
P.O. Box 8036
Wisconsin Rapids, WI 54495-8036
Phone: (800) 338-4204
Fax: (715) 424-4242
www.renlearn.com
Note to Educator:
Thank you for your interest in Renaissance Learning technology. The attached document
contains the alignment between the software and/or instructional materials and the skills
described in the state standards documentation.
At Renaissance Learning, we recognize the impact that the standards-based reform
movement and high-stakes standardized testing have on schools, and we share the
concerns of educators and administrators that students perform well on high-stakes
assessments.
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iii
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 1,
Accelerated Math Second Edition Grade 1
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
- Students will understand how to
represent numbers, and be able to
add and subtract small numbers.
GA M1N1 - Students will estimate,
model, compare, order, and
represent whole numbers up to 100.
Topic 1 - Numbers and
Operations
GA M1N1.a - Represent numbers up Topic 1 - Numbers and
to 100 using a variety of models,
Operations
diagrams, and number sentences.
Represent numbers larger than 10 in
terms of tens and ones using
manipulatives and pictures.
Grade 1
Obj. 27 - Compare whole numbers to
100 using words
Obj. 19 - Count objects grouped in
tens and ones
Obj. 20 - Model a number to 100
using tens and ones
Obj. 21 - Recognize a number from a
model of tens and ones to 100
GA M1N1.b - Correctly count and
Topic 1 - Numbers and
represent the number of objects in a Operations
set using numerals.
GA M1N1.c - Compare small sets
using the terms greater than, less
than, and equal to.
GA M1N1.d - Understand the
magnitude and order of numbers up
to 100 by making ordered sequences
and representing them on a number
line.
Page 1 of 151
Obj. 32 - Relate a picture model to a
basic addition fact
Obj. 33 - Determine the basic
addition fact shown by a picture
model
Obj. 36 - Relate a picture model to a
basic subtraction fact
Obj. 37 - Determine the basic
subtraction fact shown by a picture
model
Obj. 45 - Determine equivalent
addition or subtraction expressions
involving words or symbols
Obj. 5 - Count objects to 20
Obj. 19 - Count objects grouped in
tens and ones
Obj. 21 - Recognize a number from a
model of tens and ones to 100
Topic 1 - Numbers and
Operations
Obj. 26 - Compare sets of objects
using words
Topic 1 - Numbers and
Operations
Obj. 6 - Count on by ones from a
number less than 100
Obj. 7 - Count back by ones from a
number less than 20
041910
Accelerated Math
Grade 1
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 1,
Accelerated Math Second Edition Grade 1
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Obj. 8 - Count back by ones from a
number between 20 and 100
Obj. 9 - Identify a number to 20
represented by a point on a number
line
Obj. 10 - Locate a number to 20 on a
number line
Obj. 28 - Order whole numbers to
100 in ascending order
Obj. 29 - Order whole numbers to
100 in descending order
GA M1N1.e - Exchange equivalent
Topic 1 - Numbers and
Obj. 17 - Determine the value of a
quantities of coins by making fair
Operations
collection of like coins
trades involving combinations of
pennies, nickels, dimes, and quarters
up to one dollar; count out a
combination of coins needed to
purchase items up to one dollar.
Obj. 18 - Determine the value of a
collection of mixed coins
GA M1N1.f - Identify bills ($1, $5,
$10, $20) by name and value and
exchange equivalent quantities by
making fair trades involving
combinations of bills; count out a
combination of bills needed to
purchase items that total up to twenty
dollars.
GA M1N2 - Students will understand
place value notation for the numbers
1 to 99. (Discussions may allude to 3digit numbers to assist in
understanding place value.)
GA M1N2.a - Determine to which ten
a given number is closest using tools
such as a sequential number line or
chart.
GA M1N2.b - Represent collections
of less than 30 objects with 2-digit
numbers and understand the
meaning of place value.
GA M1N2.c - Decompose numbers
from 10 to 99 as the appropriate
number of tens and ones.
GA M1N3 - Students will add and
subtract numbers less than 100, as
well as understand and use the
inverse relationship between addition
and subtraction.
Page 2 of 151
041910
Accelerated Math
Grade 1
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 1,
Accelerated Math Second Edition Grade 1
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M1N3.a - Identify one more than, Topic 1 - Numbers and
Obj. 11 - Determine one more than
one less than, 10 more than, and 10 Operations
or one less than a given number
less than a given number.
Obj. 12 - Determine ten more than or
ten less than a given number
GA M1N3.b - Skip-count by 2s, 5s,
Topic 1 - Numbers and
Obj. 13 - Count by 2s to 50 starting
and 10s, forward and backwards; to Operations
from a multiple of 2
and from numbers up to 100.
GA M1N3.c - Compose/decompose
numbers up to 10 (e. g. 3+5=8,
8=5+2+1).
Topic 1 - Numbers and
Operations
Topic 2 - Algebraic Thinking
GA M1N3.d - Understand a variety of Topic 1 - Numbers and
situations to which subtraction may
Operations
apply: taking away from a set,
comparing two sets, and determining
how many more or how many less.
GA M1N3.e - Understand addition
Topic 1 - Numbers and
and subtraction number combinations Operations
using strategies such as counting on,
counting back, doubles and making
tens.
Page 3 of 151
Obj. 14 - Count by 5s or 10s to 100
starting from a multiple of 5 or 10,
respectively
Obj. 30 - Determine equivalent forms
of a number, up to 10
Obj. 62 - Determine equivalent
addition or subtraction expressions
involving 1-digit numbers
Obj. 31 - Determine the missing
portion in a partially screened
(hidden) collection of up to 10 objects
Obj. 36 - Relate a picture model to a
basic subtraction fact
Obj. 37 - Determine the basic
subtraction fact shown by a picture
model
Obj. 34 - Relate a number-line model
to a basic addition fact
Obj. 35 - Determine the basic
addition fact shown by a number-line
model
Obj. 38 - Determine the basic
subtraction fact shown by a numberline model
Obj. 39 - Relate a number-line model
to a basic subtraction fact
Obj. 40 - Apply the relationship
between addition and counting on
Obj. 41 - Apply the relationship
between subtraction and counting
back
041910
Accelerated Math
Grade 1
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 1,
Accelerated Math Second Edition Grade 1
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M1N3.f - Know the single-digit
Topic 1 - Numbers and
Obj. 42 - Know basic addition facts to
10 plus 10
addition facts to 18 and
Operations
corresponding subtraction facts with
understanding and fluency. (Use
strategies such as relating to facts
already known, applying the
commutative property, and grouping
facts into families.)
Obj. 43 - Know basic subtraction
facts to 20 minus 10
Obj. 47 - Complete an addition and
subtraction fact family
Topic 2 - Algebraic Thinking
Obj. 62 - Determine equivalent
addition or subtraction expressions
involving 1-digit numbers
GA M1N3.g - Apply addition and
Topic 1 - Numbers and
Obj. 44 - Add three 1-digit numbers
subtraction to 2 digit numbers without Operations
regrouping (e.g.15 + 4, 80 - 60, 56 +
10, 100 - 30, 52 + 5).
Obj. 49 - Add multiples of 10, sums
to 90
Obj. 50 - Subtract multiples of 10 up
to 90
Obj. 51 - Add zero to any number
less than 100
Obj. 52 - Subtract zero from any
number less than 100
Obj. 53 - Add a 2-digit and a 1-digit
number without regrouping
Obj. 54 - Add two 2-digit numbers
without regrouping
Obj. 55 - Subtract a 1-digit number
from a 2-digit number without
regrouping
Obj. 56 - Subtract a 2-digit number
from a 2-digit number without
regrouping
Obj. 57 - WP: Add or subtract a 1and 2-digit number without
regrouping
Obj. 58 - WP: Add or subtract two 2digit numbers without regrouping
GA M1N3.h - Solve and create word Topic 1 - Numbers and
Obj. 46 - WP: Use basic addition or
problems involving addition and
Operations
subtraction facts to solve problems
subtraction to 100 without regrouping.
Use words, pictures and concrete
models to interpret story problems
and reflect the combining of sets as
addition and taking away or
comparing elements of sets as
subtraction.
Page 4 of 151
041910
Accelerated Math
Grade 1
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 1,
Accelerated Math Second Edition Grade 1
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Obj. 57 - WP: Add or subtract a 1and 2-digit number without
regrouping
Obj. 58 - WP: Add or subtract two 2digit numbers without regrouping
Topic 2 - Algebraic Thinking
Obj. 65 - WP: Determine a basic
addition- or subtraction-fact number
sentence for a given situation
GA M1N4 - Students will count
collections of up to 100 objects by
dividing them into equal parts and
represent the results using words,
pictures, or diagrams.
GA M1N4.a - Use informal strategies
to share objects equally between two
to five people.
GA M1N4.b - Build number patterns, Topic 2 - Algebraic Thinking
including concepts of even and odd,
using various concrete
representations. (Examples of
concrete representations include a
hundreds chart, ten grid frame, place
value chart, number line, counters, or
other objects.).
GA M1N4.c - Identify, label, and
relate fractions (halves, fourths) as
equal parts of a collection of objects
or a whole using pictures and
models.
GA M1N4.d - Understand halves and
fourths as representations of equal
parts of a whole.
- Students will measure basic
quantitative attributes of concrete
objects.
GA M1M1 - Students will compare
and/or order the length, weight, or
capacity of two or more objects by
using direct comparison or a
nonstandard unit.
GA M1M1.a - Directly compare
Topic 3 - Geometry and
and/or order length, height, weight,
Measurement
and capacity of concrete objects.
GA M1M1.b - Estimate and measure Topic 3 - Geometry and
using a non-standard unit that is
Measurement
smaller than the object to be
measured.
Page 5 of 151
Obj. 69 - Complete a pattern on a 1
to 100 chart
Obj. 70 - Compare objects using the
vocabulary of measurement
Obj. 71 - Compare and order objects
by attributes of height or length
Obj. 74 - Estimate length in
nonstandard units
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 1,
Accelerated Math Second Edition Grade 1
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M1M1.c - Measure with a tool by
creating a "ruled" stick, tape, or
container by marking off ten
segments of the repeated single unit.
GA M1M2 - Students will develop an
understanding of the measurement of
time.
GA M1M2.a - Tell time to the nearest Topic 3 - Geometry and
hour and half hour and understand
Measurement
the movement of the minute hand
and how it relates to the hour hand.
GA M1M2.b - Begin to understand
the relationship of calendar time by
knowing the number of days in a
week and months in a year.
GA M1M2.c - Compare and/or order Topic 3 - Geometry and
the sequence or duration of events
Measurement
(e.g., shorter/longer and before/after).
Grade 1
Obj. 76 - Tell time to the hour
Obj. 77 - Tell time to the half hour
Obj. 78 - Order events by time
- Students will understand the
concepts of basic geometric
shapes and spatial relationships of
concrete objects.
GA M1G1 - Students will study and
create various two and threedimensional figures and identify basic
figures (squares, circles, triangles,
and rectangles) within them.
GA M1G1.a - Build, draw, name, and
describe triangles, rectangles,
pentagons, and hexagons.
GA M1G1.b - Build, represent, name,
and describe cylinders, cones, and
rectangular prisms.
GA M1G1.c - Create pictures and
designs using shapes, including
overlapping shapes.
GA M1G2 - Students will compare,
contrast, and/or classify geometric
shapes by the common attributes of
position, shape, size, number of
sides, and number of corners.
Page 6 of 151
Topic 3 - Geometry and
Measurement
Obj. 81 - Identify a circle, a triangle, a
square, or a rectangle
Topic 3 - Geometry and
Measurement
Obj. 82 - Determine the common
attributes in a set of geometric
shapes
Obj. 83 - Determine the group in
which a geometric shape belongs
Obj. 84 - Determine the rule used to
sort geometric shapes
041910
Accelerated Math
Grade 1
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 1,
Accelerated Math Second Edition Grade 1
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M1G3 - Students will arrange and Topic 3 - Geometry and
Obj. 72 - Apply the vocabulary of
describe objects in space by
Measurement
position or direction
proximity, position, and direction
(near, far, below, above, up, down,
behind, in front of, next to, and left or
right of).
- Students will pose questions,
collect, organize and interpret data
about themselves and their
surroundings.
GA M1D1 - Students will create
simple tables and graphs and
interpret them.
GA M1D1.a - Interpret tally marks,
Topic 4 - Data Analysis and
Obj. 88 - Read a 2-category tally
picture graphs, and bar graphs.
Statistics
chart
Obj. 90 - Answer a question using
information from a 2-category tally
chart
Obj. 91 - Read a picture graph
Obj. 93 - Answer a question using
information from a picture graph
Obj. 94 - Read a pictograph (1
symbol = 1 object)
Obj. 96 - Answer a question using
information from a pictograph (1
symbol = 1 object)
Obj. 97 - Read a bar graph
Obj. 99 - Answer a question using
information from a bar graph
GA M1D1.b - Pose questions, collect, Topic 4 - Data Analysis and
Obj. 89 - Use a 2-category tally chart
sort, organize and record data using Statistics
to represent groups of objects (1
objects, pictures, tally marks, picture
symbol = 1 object)
graphs, and bar graphs.
Obj. 92 - Use a picture graph to
represent groups of objects (1
symbol = 1 object)
Obj. 95 - Use a pictograph to
represent groups of objects (1
symbol = 1 object)
- Each topic studied in this course
should be developed with careful
thought toward helping every
student achieve the following
process standards.
GA M1P1 - Students will solve
problems (using appropriate
technology).
GA M1P1.a - Build new mathematical
knowledge through problem solving.
Page 7 of 151
041910
Accelerated Math
Grade 1
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 1,
Accelerated Math Second Edition Grade 1
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M1P1.b - Solve problems that
Topic 1 - Numbers and
Obj. 46 - WP: Use basic addition or
arise in mathematics and in other
Operations
subtraction facts to solve problems
contexts.
Obj. 57 - WP: Add or subtract a 1and 2-digit number without
regrouping
Obj. 58 - WP: Add or subtract two 2digit numbers without regrouping
GA M1P1.c - Apply and adapt a
variety of appropriate strategies to
solve problems.
GA M1P1.d - Monitor and reflect on
the process of mathematical problem
solving.
GA M1P2 - Students will reason and
evaluate mathematical arguments.
GA M1P2.a - Recognize reasoning
and proof as fundamental aspects of
mathematics.
GA M1P2.b - Make and investigate
mathematical conjectures.
GA M1P2.c - Develop and evaluate
mathematical arguments and proofs.
GA M1P2.d - Select and use various
types of reasoning and methods of
proof.
GA M1P3 - Students will
communicate mathematically.
GA M1P3.a - Organize and
consolidate their mathematical
thinking through communication.
GA M1P3.b - Communicate their
mathematical thinking coherently and
clearly to peers, teachers, and others.
GA M1P3.c - Analyze and evaluate
the mathematical thinking and
strategies of others.
GA M1P3.d - Use the language of
mathematics to express
mathematical ideas precisely.
GA M1P4 - Students will make
connections among mathematical
ideas and to other disciplines.
GA M1P4.a - Recognize and use
connections among mathematical
ideas.
Page 8 of 151
Topic 1 - Numbers and
Operations
Obj. 45 - Determine equivalent
addition or subtraction expressions
involving words or symbols
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 1,
Accelerated Math Second Edition Grade 1
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M1P4.b - Understand how
mathematical ideas interconnect and
build on one another to produce a
coherent whole.
GA M1P4.c - Recognize and apply
mathematics in contexts outside of
mathematics.
GA M1P5 - Students will represent
mathematics in multiple ways.
GA M1P5.a - Create and use
representations to organize, record,
and communicate mathematical
ideas.
GA M1P5.b - Select, apply, and
translate among mathematical
representations to solve problems.
GA M1P5.c - Use representations to
model and interpret physical, social,
and mathematical phenomena.
Grade 1
Page 9 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 2,
Accelerated Math Second Edition Grade 2
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
- Students will further develop
their understanding of numbers
(including fractions) and how to
represent them. The students will
understand and apply addition,
subtraction and multiplication
through concrete manipulation
and perform basic calculations.
GA M2N1 - Students will use multiple
representation of numbers to connect
symbols to quantities.
GA M2N1.a - Represent numbers
using a variety of models, diagrams,
and number sentences (e.g., 4703
represented as 4,000 + 700 + 3, and
units, 47 hundreds + 3, or 4,500 +
203).
Topic 1 - Number Sense and
Operations
Obj. 2 - Determine the word form of a
whole number to 1,000
Topic 1 - Number Sense and
Operations
Obj. 12 - Model a number using
hundreds, tens, and ones to 1,000
GA M2N1.b - Understand the relative Topic 1 - Number Sense and
magnitudes of numbers using 10 as a Operations
unit, 100 as a unit, or 1000 as a unit.
Represent 2-digit numbers with
drawings of tens and ones and 3-digit
numbers with drawings of hundreds,
tens, and ones.
GA M2N1.c - Use money as a
Topic 1 - Number Sense and
medium of exchange. Make change Operations
and use decimal notation and the
dollar and cent symbols to represent
the collection of coins and currency.
Page 10 of 151
Grade 2
Obj. 13 - Recognize a number from a
model of hundreds, tens, and ones to
1,000
Obj. 14 - Represent a 3-digit number
as hundreds, tens, and ones
Obj. 15 - Determine the 3-digit
number represented as hundreds,
tens, and ones
Obj. 16 - Recognize equivalent forms
of a 3-digit number using hundreds,
tens, and ones
Obj. 9 - Determine the value of a digit
in a 3-digit number
Obj. 10 - Determine which digit is in a
specified place in a 3-digit whole
number
Obj. 12 - Model a number using
hundreds, tens, and ones to 1,000
Obj. 13 - Recognize a number from a
model of hundreds, tens, and ones to
1,000
Obj. 17 - Determine the value of a
collection of bills and coins
041910
Accelerated Math
Grade 2
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 2,
Accelerated Math Second Edition Grade 2
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M2N2 - Students will build fluency
with multi-digit addition and
subtraction.
GA M2N2.a - Correctly add and
Topic 1 - Number Sense and
Obj. 24 - Determine a number pair
subtract two whole numbers up to
Operations
that totals 100
three digits each with regrouping.
Obj. 25 - Determine a number pair
that totals 1,000
Obj. 28 - Add two 3-digit numbers
without regrouping
Obj. 29 - Add two 2-digit numbers
with regrouping, given a model
Obj. 30 - Add money values using
cents or dollars with regrouping
Obj. 31 - Add a 2-digit number to a 1digit number with regrouping
Obj. 32 - Add two 2-digit numbers
with regrouping
Obj. 33 - Add three 2-digit numbers
with one regrouping, sum less than
100
Obj. 34 - Add 2- and 3-digit numbers
with no more than one regrouping
Obj. 35 - Add two 3-digit numbers
with one regrouping
Obj. 36 - Subtract a 3-digit number
from a 3-digit number without
regrouping
Obj. 37 - Subtract money values
using cents or dollars with one
regrouping
Obj. 38 - Subtract a 1- or 2-digit
number from a 2-digit number with
one regrouping
Obj. 39 - Subtract a 1- or 2-digit
number from a 3-digit number with
one regrouping
Obj. 40 - Subtract a 3-digit number
from a 3-digit number with one
regrouping
Obj. 41 - WP: Add or subtract
numbers without regrouping
Obj. 42 - WP: Add or subtract up to 2digit numbers with one regrouping
GA M2N2.b - Understand and use
Topic 1 - Number Sense and
the inverse relation between addition Operations
and subtraction to solve problems
and check solutions.
Page 11 of 151
Obj. 43 - Apply the inverse
relationship between addition and
subtraction with 2- and 3-digit
numbers
041910
Accelerated Math
Grade 2
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 2,
Accelerated Math Second Edition Grade 2
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Topic 2 - Algebraic Thinking
Obj. 65 - Determine a missing
addend in a number sentence
involving 2-digit numbers
Obj. 66 - Determine a missing
subtrahend in a number sentence
involving 2-digit numbers
Obj. 68 - WP: Determine a missing
addend or a missing subtrahend
involving 2-digit numbers
Obj. 69 - WP: Use an open sentence
to represent a given situation
GA M2N2.c - Use mental math
strategies such as benchmark
numbers to solve problems.
GA M2N2.d - Use basic properties of
addition (commutative, associative,
and identity) to simplify problems
(e.g. 98 + 17 by taking two from 17
and adding it to the 98 to make 100
and replacing the original problem by
the sum 100 + 15).
GA M2N2.e - Estimate to determine if Topic 1 - Number Sense and
solutions are reasonable for addition Operations
and subtraction.
GA M2N3 - Students will understand
multiplication, multiply numbers, and
verify results.
GA M2N3.a - Understand
Topic 1 - Number Sense and
multiplication as repeated addition.
Operations
GA M2N3.b - Use repeated addition, Topic 1 - Number Sense and
arrays, and counting by multiples
Operations
(skip counting) to correctly multiply 1digit numbers and construct the
multiplication table.
GA M2N3.c - Use the multiplication
table (grid) to determine a product of
two numbers.
Page 12 of 151
Obj. 44 - Estimate the sum of two 2digit numbers
Obj. 45 - Estimate the difference of
two 2-digit numbers
Obj. 47 - Use a repeated addition
sentence to represent the sum of
equal groups
Obj. 49 - Represent repeated
addition as multiplication
Obj. 46 - Determine the sum of equal
groups using pictures
Obj. 50 - Relate a multiplication
sentence to an array model
041910
Accelerated Math
Grade 2
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 2,
Accelerated Math Second Edition Grade 2
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M2N3.d - Use repeated
Topic 1 - Number Sense and
Obj. 53 - Recognize the number of
subtraction, equal sharing, and
Operations
equal groups using pictures
forming equal groups to divide large
collections of objects and determine
factors for multiplication.
Obj. 54 - Divide objects into equal
groups using pictures
Obj. 55 - Determine the remainder
when dividing objects into equal
groups
Obj. 56 - Determine the number of
equal groups of objects excluding the
remainder
Obj. 57 - WP: Divide objects into
equal groups by sharing
GA M2N4 - Students will understand
and compare fractions.
GA M2N4.a - Model, identify, label,
Topic 1 - Number Sense and
Obj. 58 - Identify a unit fraction as
and compare fractions (thirds, sixths, Operations
part of a whole
eighths, tenths) as a representation
of equal parts of a whole or of a set.
GA M2N4.b - Know that when all
fractional parts are included, such as
three thirds, the result is equal to the
whole.
GA M2N5 - Students will represent
and interpret quantities and
relationships using mathematical
expressions including equality and
inequality signs (=,>,<, not equal to).
Topic 1 - Number Sense and
Operations
Obj. 59 - Identify a unit fraction as
part of a set of objects
Obj. 60 - Identify a fraction as part of
a set of objects
Obj. 61 - Identify a fraction as part of
a whole
Obj. 63 - Compare unit fractions
using pictorial models
Obj. 62 - Relate a fraction equal to a
whole to a pictorial model
Topic 1 - Number Sense and
Operations
Obj. 21 - Compare whole numbers to
1,000 using the symbols <, >, and =
GA M2N5.a - Include the use of
boxes or ___ to represent a missing
value.
Topic 2 - Algebraic Thinking
Obj. 67 - Determine equivalent
addition expressions involving 2-digit
numbers
Obj. 69 - WP: Use an open sentence
to represent a given situation
GA M2N5.b - Represent problem
solving situations where addition,
subtraction or multiplication may be
applied using mathematical
expressions.
Topic 2 - Algebraic Thinking
Obj. 69 - WP: Use an open sentence
to represent a given situation
Page 13 of 151
041910
Accelerated Math
Grade 2
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 2,
Accelerated Math Second Edition Grade 2
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
- Students will understand length,
time, and temperature and choose
an appropriate tool to measure
them.
GA M2M1 - Students will know the
Topic 3 - Geometry and
Obj. 76 - Measure length in inches
standard units of inch, foot, yard, and Measurement
metric units of centimeter and meter
and measure length to the nearest
inch or centimeter.
Obj. 77 - Measure length in
centimeters
GA M2M1.a - Compare the
relationship of one unit to another by
measuring objects twice using
different units each time.
GA M2M1.b - Estimate lengths, and
then measure to determine if
estimations were reasonable.
GA M2M1.c - Determine an
appropriate tool and unit for
measuring.
GA M2M2 - Students will tell time to Topic 3 - Geometry and
Obj. 78 - Tell time to the quarter hour
the nearest five minutes and know
Measurement
relationships of time such as the
number of seconds in a minute,
minutes in an hour and hours in a
day.
Obj. 79 - Tell time to 5-minute
intervals
GA M2M3 - Students will explore
temperature.
GA M2M3.a - Determine a
reasonable temperature for a given
situation.
GA M2M3.b - Read a thermometer. Topic 3 - Geometry and
Obj. 81 - Read a thermometer in
Measurement
degrees Celsius
Obj. 82 - Read a thermometer in
degrees Fahrenheit
- Students will understand basic
and compound geometric shapes
together with the elements from
which they are composed.
GA M2G1 - Students will describe
and classify plane figures (triangles,
square, rectangle, trapezoid,
quadrilateral, pentagon, hexagon,
and irregular polygonal shapes)
according to the number of sides and
vertices and the sizes of angles (right
angle, obtuse, acute).
Page 14 of 151
041910
Accelerated Math
Grade 2
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 2,
Accelerated Math Second Edition Grade 2
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M2G2 - Students will describe
and classify solid geometric figures
(prisms, pyramids, cylinders, cones,
and spheres) according to such
things as the number of edges and
vertices and the number and shape
of faces and angles.
GA M2G2.a - Recognize the (plane)
shapes of the faces of a geometric
solid and count the number of faces
of each type.
GA M2G2.b - Recognize the shape
of an angle as a right angle, an
obtuse, or acute angle.
GA M2G3 - Students will describe the Topic 3 - Geometry and
Obj. 86 - Decompose a plane shape
change in attributes as two and three- Measurement
composed of three or more simpler
dimensional shapes are cut and
shapes
rearranged.
- Students will pose questions,
collect, organize, and interpret
data about themselves and their
surroundings.
GA M2D1 - Students will create
simple tables and graphs and
interpret their meaning.
GA M2D1.a - Create, organize and
Topic 4 - Data Analysis and
Obj. 91 - Use a tally chart to
display data using pictographs, Venn Statistics
represent data
diagrams, bar graphs, picture graphs,
simple charts, and tables to record
results with scales of 1, 2 and 5.
GA M2D1.b - Know how to interpret
picture graphs, Venn diagrams, and
bar graphs.
Topic 4 - Data Analysis and
Statistics
Obj. 97 - Use a bar graph with a yaxis scale by 2s to represent data
Obj. 96 - Read a bar graph with a yaxis scale by 2s
Obj. 98 - Answer a question using
information from a bar graph with a yaxis scale by 2s
- Each topic studied in this course
should be developed with careful
thought toward helping every
student achieve the following
process standards.
GA M2P1 - Students will solve
problems (using appropriate
technology).
GA M2P1.a - Build new mathematical
knowledge through problem solving.
Page 15 of 151
041910
Accelerated Math
Grade 2
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 2,
Accelerated Math Second Edition Grade 2
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M2P1.b - Solve problems that
Topic 1 - Number Sense and
Obj. 41 - WP: Add or subtract
arise in mathematics and in other
Operations
numbers without regrouping
contexts.
Obj. 42 - WP: Add or subtract up to 2digit numbers with one regrouping
Topic 2 - Algebraic Thinking
Obj. 68 - WP: Determine a missing
addend or a missing subtrahend
involving 2-digit numbers
Topic 2 - Algebraic Thinking
Obj. 69 - WP: Use an open sentence
to represent a given situation
Topic 1 - Number Sense and
Operations
Obj. 7 - Solve problems involving the
concept of odd and even numbers
GA M2P1.c - Apply and adapt a
variety of appropriate strategies to
solve problems.
GA M2P1.d - Monitor and reflect on
the process of mathematical problem
solving.
GA M2P2 - Students will reason and
evaluate mathematical arguments.
GA M2P2.a - Recognize reasoning
and proof as fundamental aspects of
mathematics.
GA M2P2.b - Make and investigate
mathematical conjectures.
GA M2P2.c - Develop and evaluate
mathematical arguments and proofs.
GA M2P2.d - Select and use various
types of reasoning and methods of
proof.
GA M2P3 - Students will
communicate mathematically.
GA M2P3.a - Organize and
consolidate their mathematical
thinking through communication.
GA M2P3.b - Communicate their
mathematical thinking coherently and
clearly to peers, teachers, and others.
GA M2P3.c - Analyze and evaluate
the mathematical thinking and
strategies of others.
GA M2P3.d - Use the language of
mathematics to express
mathematical ideas precisely.
GA M2P4 - Students will make
connections among mathematical
ideas and to other disciplines.
GA M2P4.a - Recognize and use
connections among mathematical
ideas.
Page 16 of 151
041910
Accelerated Math
Grade 2
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 2,
Accelerated Math Second Edition Grade 2
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M2P4.b - Understand how
mathematical ideas interconnect and
build on one another to produce a
coherent whole.
GA M2P4.c - Recognize and apply
mathematics in contexts outside of
mathematics.
GA M2P5 - Students will represent
mathematics in multiple ways.
GA M2P5.a - Create and use
Topic 4 - Data Analysis and
Obj. 91 - Use a tally chart to
representations to organize, record, Statistics
represent data
and communicate mathematical
ideas.
Obj. 97 - Use a bar graph with a yaxis scale by 2s to represent data
GA M2P5.b - Select, apply, and
translate among mathematical
representations to solve problems.
GA M2P5.c - Use representations to
model and interpret physical, social,
and mathematical phenomena.
Page 17 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 3,
Accelerated Math Second Edition Grade 3
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
- Students will use decimal
fractions and common fractions to
represent parts of a whole. They
will also understand the four
arithmetic operations for whole
numbers and use them in basic
calculations, and apply them in
problem solving situations.
GA M3N1 - Students will further
develop their understanding of whole
numbers and decimals and ways of
representing them.
GA M3N1.a - Identify place values
Topic 1 - Number Sense and
from tenths through ten thousands. Operations
GA M3N1.b - Understand the relative Topic 1 - Number Sense and
sizes of digits in place value notation Operations
(10 times, 100 times, 1/10 of a single
digit whole number) and ways to
represent them including word name,
standard form, and expanded form.
Grade 3
Obj. 3 - Determine the value of a digit
in a 4- or 5-digit whole number
Obj. 4 - Determine which digit is in a
specified place in a 4- or 5-digit whole
number
Obj. 5 - Represent a 4-digit whole
number as thousands, hundreds,
tens, and ones
Obj. 6 - Determine the 4-digit whole
number represented in thousands,
hundreds, tens, and ones
Obj. 7 - Represent a 4- or 5-digit
whole number in expanded form
Obj. 8 - Determine the 4- or 5-digit
whole number represented in
expanded form
Obj. 9 - Determine an equivalent
form of a 4-digit whole number using
thousands, hundreds, tens, and ones
Obj. 10 - Determine the result of
changing a digit in a 4- or 5-digit
whole number
GA M3N2 - Students will further
develop their skills of addition and
subtraction and apply them in
problem solving.
GA M3N2.a - Use the properties of
addition and subtraction to compute
and verify the results of computation.
GA M3N2.b - Use mental math and
estimation strategies to add and
subtract.
Page 18 of 151
Topic 1 - Number Sense and
Operations
Obj. 28 - Estimate a sum or
difference of whole numbers to
10,000 by rounding
041910
Accelerated Math
Grade 3
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 3,
Accelerated Math Second Edition Grade 3
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Obj. 29 - Estimate a sum or
difference of two 3- or 4-digit whole
numbers using front-end estimation
Obj. 30 - Estimate a sum or
difference of 2- to 4-digit whole
numbers using any method
Obj. 31 - Estimate a sum of three 2to 4-digit numbers using any method
GA M3N2.c - Solve problems
requiring addition and subtraction.
Topic 1 - Number Sense and
Operations
Topic 2 - Algebraic Thinking
GA M3N2.d - Model addition and
subtraction by counting back change
using the fewest number of coins.
GA M3N3 - Students will further
develop their understanding of
multiplication of whole numbers and
develop the ability to apply it in
problem solving.
GA M3N3.a - Describe the
relationship between addition and
multiplication, i.e., multiplication is
defined as repeated addition.
GA M3N3.b - Know the multiplication Topic 1 - Number Sense and
facts with understanding and fluency Operations
to 10 x 10.
Topic 2 - Algebraic Thinking
Page 19 of 151
Obj. 32 - WP: Estimate a sum or
difference of two 3- or 4-digit whole
numbers using any method
Obj. 13 - Add 3- and 4-digit whole
numbers with regrouping
Obj. 14 - Add three 2- to 3-digit whole
numbers
Obj. 15 - Subtract 3- and 4-digit
whole numbers with regrouping
Obj. 16 - WP: Add or subtract 3- and
4-digit whole numbers with
regrouping
Obj. 56 - Determine the missing
addend in a number sentence
involving 3-digit numbers
Obj. 57 - Determine the missing
subtrahend in a number sentence
involving 3-digit numbers
Obj. 35 - Know basic multiplication
facts to 10 x 10
Obj. 39 - WP: Multiply using basic
facts to 10 x 10
Obj. 63 - WP: Determine a
multiplication or division sentence for
a given situation
041910
Accelerated Math
Grade 3
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 3,
Accelerated Math Second Edition Grade 3
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M3N3.c - Use arrays and area
models to develop understanding of
the distributive property and to
determine partial products for
multiplication of 2- or 3-digit numbers
by a 1-digit number.
GA M3N3.d - Understand the effect Topic 1 - Number Sense and
Obj. 42 - Multiply a 1-digit whole
on the product when multiplying by
Operations
number by a multiple of 10 to 100
multiples of 10.
GA M3N3.e - Apply the identity,
commutative and associative
properties of multiplication and verify
the results.
GA M3N3.f - Use mental math and
Topic 1 - Number Sense and
Obj. 42 - Multiply a 1-digit whole
estimation strategies to multiply.
Operations
number by a multiple of 10 to 100
GA M3N3.g - Solve problems
Topic 1 - Number Sense and
Obj. 39 - WP: Multiply using basic
requiring multiplication.
Operations
facts to 10 x 10
Topic 2 - Algebraic Thinking
Obj. 58 - Determine the missing
multiplicand in a number sentence
involving basic facts
Obj. 59 - Determine the missing
dividend or divisor in a number
sentence involving basic facts
Obj. 63 - WP: Determine a
multiplication or division sentence for
a given situation
GA M3N4 - Students will understand
the meaning of division and develop
the ability to apply it in problem
solving.
GA M3N4.a - Understand the
Topic 1 - Number Sense and
Obj. 41 - Complete a multiplication
relationship between division and
Operations
and division fact family
multiplication and between division
and subtraction.
Topic 2 - Algebraic Thinking
Obj. 58 - Determine the missing
multiplicand in a number sentence
involving basic facts
Obj. 59 - Determine the missing
dividend or divisor in a number
sentence involving basic facts
Obj. 60 - Recognize equivalent
multiplication or division expressions
involving basic facts
Page 20 of 151
041910
Accelerated Math
Grade 3
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 3,
Accelerated Math Second Edition Grade 3
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M3N4.b - Recognize that division Topic 1 - Number Sense and
Obj. 34 - Use a division sentence to
may be two situations: the first is
Operations
represent objects divided into equal
determining how many equal parts of
groups
a given size or amount may be taken
away from the whole as in repeated
subtraction, and the second is
determining the size of the parts
when the whole is separated into a
given number of equal parts as in a
sharing model.
GA M3N4.c - Recognize problemsolving situations in which division
may be applied and write
corresponding mathematical
expressions.
Topic 1 - Number Sense and
Operations
Obj. 34 - Use a division sentence to
represent objects divided into equal
groups
Topic 2 - Algebraic Thinking
Obj. 63 - WP: Determine a
multiplication or division sentence for
a given situation
GA M3N4.d - Explain the meaning of
a remainder in division in different
circumstances.
GA M3N4.e - Divide a 2 and 3-digit
Topic 1 - Number Sense and
number by a 1-digit divisor.
Operations
Topic 2 - Algebraic Thinking
GA M3N4.f - Solve problems
requiring division.
Topic 1 - Number Sense and
Operations
Topic 2 - Algebraic Thinking
GA M3N4.g - Use mental math
Topic 1 - Number Sense and
strategies to divide.
Operations
GA M3N5 - Students will understand
the meaning of decimal fractions and
common fractions in simple cases
and apply them in problem-solving
situations.
GA M3N5.a - Identify fractions that
are decimal fractions and/or common
fractions.
Page 21 of 151
Obj. 37 - Know basic division facts to
100 ÷ 10
Obj. 40 - WP: Divide using basic
facts to 100 ÷ 10
Obj. 63 - WP: Determine a
multiplication or division sentence for
a given situation
Obj. 40 - WP: Divide using basic
facts to 100 ÷ 10
Obj. 58 - Determine the missing
multiplicand in a number sentence
involving basic facts
Obj. 59 - Determine the missing
dividend or divisor in a number
sentence involving basic facts
Obj. 63 - WP: Determine a
multiplication or division sentence for
a given situation
Obj. 40 - WP: Divide using basic
facts to 100 ÷ 10
041910
Accelerated Math
Grade 3
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 3,
Accelerated Math Second Edition Grade 3
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M3N5.b - Understand that a
decimal fraction (i.e. 3/10) can be
written as a decimal (i.e. 0.3).
GA M3N5.c - Understand the fraction Topic 1 - Number Sense and
Obj. 44 - Determine a pictorial model
a/b represents a equal sized parts of Operations
of a fraction of a whole
a whole that is divided into b equal
sized parts.
GA M3N5.d - Know and use decimal Topic 1 - Number Sense and
Obj. 44 - Determine a pictorial model
fractions and common fractions to
Operations
of a fraction of a whole
represent the size of parts created by
equal divisions of a whole.
GA M3N5.e - Understand the
concept of addition and subtraction of
decimal fractions and common
fractions with like denominators.
GA M3N5.f - Model addition and
subtraction of decimal fractions and
common fractions with like
denominators.
GA M3N5.g - Use mental math and
estimation strategies to add and
subtract decimal fractions and
common fractions with like
denominators.
GA M3N5.h - Solve problems
involving decimal fractions and
common fractions with like
denominators.
- Students will understand and
measure time and length. They will
also model and calculate perimeter
and area of simple geometric
figures.
Topic 1 - Number Sense and
Operations
Obj. 54 - Determine fraction pairs
that total 1
Topic 3 - Geometry and
Measurement
Obj. 74 - Tell time to the minute
Obj. 76 - Calculate elapsed time
within an hour, given two clocks,
without regrouping
Obj. 77 - Calculate elapsed time
within an hour, given two clocks, with
regrouping
Obj. 78 - WP: Calculate elapsed time
within an hour given two clocks
Obj. 79 - WP: Calculate elapsed time
within an hour
Obj. 80 - WP: Determine the end
time given the start time and the
elapsed time within an hour
Obj. 81 - WP: Determine the start
time given the end time on a clock
and the elapsed time within an hour
Page 22 of 151
041910
Accelerated Math
Grade 3
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 3,
Accelerated Math Second Edition Grade 3
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Obj. 82 - WP: Determine the start
time given the end time and the
elapsed time within an hour
GA M3M1 - Students will further
develop their understanding of the
concept of time by determining
elapsed time of a full, half, and
quarter-hour.
GA M3M2 - Students will measure
length choosing appropriate units and
tools.
GA M3M2.a - Use the units kilometer
(km) and mile (mi.) to discuss the
measure of long distances.
GA M3M2.b - Measure to the nearest Topic 3 - Geometry and
1/4 inch, 1/2 inch and millimeter (mm) Measurement
in addition to the previously learned
inch, foot, yard, centimeter, and
meter.
GA M3M2.c - Estimate length and
represent it using appropriate units.
GA M3M2.d - Compare one unit to
another within a single system of
measurement.
GA M3M3 - Students will understand
and measure the perimeter of
geometric figures.
GA M3M3.a - Understand the
meaning of the linear unit and
measurement in perimeter.
GA M3M3.b - Understand the
concept of perimeter as being the
length of the boundary of a geometric
figure.
GA M3M3.c - Determine the
perimeter of a geometric figure by
measuring and summing the lengths
of the sides.
GA M3M4 - Students will understand
and measure the area of simple
geometric figures (squares and
rectangles).
Page 23 of 151
Topic 3 - Geometry and
Measurement
Obj. 67 - Measure length to the
nearest half inch or quarter inch
Obj. 68 - Convert between inches,
feet, and yards
Obj. 69 - Convert between
centimeters and meters
Topic 3 - Geometry and
Measurement
Obj. 87 - WP: Determine the
perimeter of a rectangular shape
given a grid with a reference unit
Topic 3 - Geometry and
Measurement
Obj. 86 - Determine a method for
finding the perimeter of a shape given
the side lengths
Obj. 87 - WP: Determine the
perimeter of a rectangular shape
given a grid with a reference unit
Obj. 88 - WP: Determine the
perimeter of a shape given a model
showing all side lengths
041910
Accelerated Math
Grade 3
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 3,
Accelerated Math Second Edition Grade 3
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M3M4.a - Understand the
meaning of the square unit and
measurement in area.
GA M3M4.b - Model (by tiling) the
area of a simple geometric figure
using square units (square inch,
square foot, etc.).
GA M3M4.c - Determine the area of Topic 3 - Geometry and
Obj. 90 - WP: Determine the area of
squares and rectangles by counting, Measurement
a rectangular shape given a picture
addition, and multiplication with
on a grid
models.
- Students will further develop
their understanding of
characteristics of previously
studied geometric figures.
GA M3G1 - Students will further
develop their understanding of
geometric figures by drawing them.
They will also state and explain their
properties.
GA M3G1.a - Draw and classify
previously learned fundamental
geometric figures and scalene,
isosceles, and equilateral triangles.
GA M3G1.b - Identify and compare
the properties of fundamental
geometric figures.
Topic 3 - Geometry and
Measurement
GA M3G1.c - Examine and compare Topic 3 - Geometry and
angles of fundamental geometric
Measurement
figures.
GA M3G1.d - Identify the center,
diameter, and radius of a circle.
- Students will understand how to
express relationships as
mathematical expressions.
GA M3A1 - Students will use
mathematical expressions to
represent relationships between
quantities and interpret given
expressions.
GA M3A1.a - Describe and extend
Topic 2 - Algebraic Thinking
numeric and geometric patterns.
Page 24 of 151
Obj. 92 - Identify parallel,
perpendicular, and intersecting lines
Obj. 95 - Determine attributes of a
triangle or a quadrilateral from a
model
Obj. 96 - Relate a model of a triangle
or a quadrilateral to a list of attributes
Obj. 97 - Identify a picture of a 3dimensional shape
Obj. 64 - Extend a number pattern
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 3,
Accelerated Math Second Edition Grade 3
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M3A1.b - Describe and explain a
quantitative relationship represented
by a formula (such as the perimeter
of a geometric figure).
GA M3A1.c - Use a symbol, such as Topic 2 - Algebraic Thinking
square and triangle, to represent an
unknown and find the value of the
unknown in a number sentence.
Grade 3
Obj. 56 - Determine the missing
addend in a number sentence
involving 3-digit numbers
Obj. 57 - Determine the missing
subtrahend in a number sentence
involving 3-digit numbers
Obj. 58 - Determine the missing
multiplicand in a number sentence
involving basic facts
Obj. 59 - Determine the missing
dividend or divisor in a number
sentence involving basic facts
Obj. 60 - Recognize equivalent
multiplication or division expressions
involving basic facts
- Students will gather, organize,
and display data and interpret
graphs.
GA M3D1 - Students will create and
interpret simple tables and graphs.
GA M3D1.a - Solve problems by
organizing and displaying data in
charts, tables, and graphs.
GA M3D1.b - Construct and interpret Topic 4 - Data Analysis,
line plot graphs, pictographs, Venn
Statistics, and Probability
diagrams, and bar graphs using scale
increments of 1, 2, 5, and 10.
Obj. 105 - Use a bar graph with a
scale interval of 5 or 10 to represent
data
Obj. 106 - Answer a question using
information from a bar graph with a
scale interval of 5 or 10
- Each topic studied in this course
should be developed with careful
thought toward helping every
student achieve the following
process standards.
GA M3P1 - Students will solve
problems (using appropriate
technology).
GA M3P1.a - Build new mathematical
knowledge through problem solving.
Page 25 of 151
041910
Accelerated Math
Grade 3
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 3,
Accelerated Math Second Edition Grade 3
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M3P1.b - Solve problems that
Topic 1 - Number Sense and
Obj. 16 - WP: Add or subtract 3- and
arise in mathematics and in other
Operations
4-digit whole numbers with
contexts.
regrouping
Obj. 39 - WP: Multiply using basic
facts to 10 x 10
Obj. 40 - WP: Divide using basic
facts to 100 ÷ 10
Topic 3 - Geometry and
Obj. 78 - WP: Calculate elapsed time
Measurement
within an hour given two clocks
Obj. 79 - WP: Calculate elapsed time
within an hour
Obj. 80 - WP: Determine the end
time given the start time and the
elapsed time within an hour
Obj. 81 - WP: Determine the start
time given the end time on a clock
and the elapsed time within an hour
GA M3P1.c - Apply and adapt a
variety of appropriate strategies to
solve problems.
GA M3P1.d - Monitor and reflect on
the process of mathematical problem
solving.
GA M3P2 - Students will reason and
evaluate mathematical arguments.
Obj. 82 - WP: Determine the start
time given the end time and the
elapsed time within an hour
Obj. 87 - WP: Determine the
perimeter of a rectangular shape
given a grid with a reference unit
Obj. 88 - WP: Determine the
perimeter of a shape given a model
showing all side lengths
Obj. 90 - WP: Determine the area of
a rectangular shape given a picture
on a grid
GA M3P2.a - Recognize reasoning
and proof as fundamental aspects of
mathematics.
GA M3P2.b - Make and investigate
mathematical conjectures.
GA M3P2.c - Develop and evaluate
mathematical arguments and proofs.
GA M3P2.d - Select and use various
types of reasoning and methods of
proof.
Page 26 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 3,
Accelerated Math Second Edition Grade 3
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M3P3 - Students will
communicate mathematically.
GA M3P3.a - Organize and
consolidate their mathematical
thinking through communication.
GA M3P3.b - Communicate their
mathematical thinking coherently and
clearly to peers, teachers, and others.
GA M3P3.c - Analyze and evaluate
the mathematical thinking and
strategies of others.
GA M3P3.d - Use the language of
Topic 2 - Algebraic Thinking
mathematics to express
mathematical ideas precisely.
GA M3P4 - Students will make
connections among mathematical
ideas and to other disciplines.
GA M3P4.a - Recognize and use
connections among mathematical
ideas.
GA M3P4.b - Understand how
mathematical ideas interconnect and
build on one another to produce a
coherent whole.
GA M3P4.c - Recognize and apply
mathematics in contexts outside of
mathematics.
GA M3P5 - Students will represent
mathematics in multiple ways.
GA M3P5.a - Create and use
Topic 4 - Data Analysis,
representations to organize, record, Statistics, and Probability
and communicate mathematical
ideas.
GA M3P5.b - Select, apply, and
translate among mathematical
representations to solve problems.
GA M3P5.c - Use representations to
model and interpret physical, social,
and mathematical phenomena.
Page 27 of 151
Grade 3
Obj. 63 - WP: Determine a
multiplication or division sentence for
a given situation
Obj. 105 - Use a bar graph with a
scale interval of 5 or 10 to represent
data
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 4,
Accelerated Math Second Edition Grade 4
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
- Students will further develop
their understanding of whole
numbers and master the four basic
operations with whole numbers by
solving problems. They will also
understand rounding and when to
use it appropriately. Students will
further develop their
understanding of addition and
subtraction of decimal fractions
and common fractions with like
denominators.
GA M4N1. - Students will further
develop their understanding of how
whole numbers and decimals are
represented in the base-ten
numeration system.
GA M4N1.a - Identify place value
names and places from hundredths
through one million.
Topic 1 - Number Sense and
Operations
GA M4N1.b - Equate a number's
Topic 1 - Number Sense and
word name, its standard form, and its Operations
expanded form.
GA M4N2 - Students will understand
and apply the concept of rounding
numbers.
Page 28 of 151
Grade 4
Obj. 3 - Determine the value of a digit
in a 6-digit whole number
Obj. 4 - Determine which digit is in a
specified place in a 6-digit whole
number
Obj. 1 - Read a 6-digit whole number
Obj. 2 - Determine the word form of a
6-digit whole number
Obj. 5 - Determine the whole number
represented in expanded form written
in powers of ten
Obj. 6 - Represent a 6-digit whole
number in expanded form using
powers of ten
Obj. 7 - Convert between proper
expanded form and improper
expanded form up to a 5-digit whole
number
Obj. 8 - Convert between standard
form and improper expanded form up
to a 5-digit whole number
Obj. 62 - Read a decimal number
through the hundredths place
Obj. 63 - Determine the word form of
a decimal number through the
hundredths place
041910
Accelerated Math
Grade 4
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 4,
Accelerated Math Second Edition Grade 4
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M4N2.a - Round numbers to the Topic 1 - Number Sense and
Obj. 17 - Round a 4- to 6-digit whole
nearest ten, hundred, or thousand.
Operations
number to a specified place
GA M4N2.b - Describe situations in
which rounding numbers would be
appropriate and determine whether to
round to the nearest ten, hundred, or
thousand.
GA M4N2.c - Determine to which
whole number or tenth a given
decimal is closest using tools such as
a number line, and/or charts.
GA M4N2.d - Round a decimal to the Topic 1 - Number Sense and
nearest whole number or tenth.
Operations
Obj. 80 - Round a decimal number to
a specified place through hundredths
GA M4N2.e - Represent the results
of computation as a rounded number
when appropriate and estimate a
sum or difference by rounding
numbers.
GA M4N3 - Students will solve
problems involving multiplication of 23 digit numbers by 1 or 2 digit
numbers.
Topic 1 - Number Sense and
Operations
Obj. 81 - Estimate a decimal number
sum or difference by rounding to
whole numbers
Topic 1 - Number Sense and
Operations
Obj. 20 - Multiply a 1- or 2-digit whole
number by a multiple of 10, 100, or
1,000
Obj. 23 - Multiply a 3- or 4-digit whole
number by a 1-digit whole number
Obj. 24 - Multiply a 2-digit whole
number by a 2-digit whole number
Obj. 25 - Multiply a 3-digit whole
number by a 2-digit whole number
Obj. 26 - Multiply three 1- and 2-digit
whole numbers
Obj. 27 - WP: Multiply a multi-digit
whole number by a 1-digit whole
number
Obj. 28 - WP: Multiply a 2-digit whole
number by a 2-digit whole number
Obj. 29 - WP: Multiply a 3-digit whole
number by a 2-digit whole number
GA M4N4 - Students will further
develop their understanding of
division of whole numbers and divide
in problem solving situations without
calculators.
GA M4N4.a - Know the division facts
with understanding and fluency.
Page 29 of 151
041910
Accelerated Math
Grade 4
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 4,
Accelerated Math Second Edition Grade 4
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M4N4.b - Solve problems
Topic 1 - Number Sense and
Obj. 33 - Divide a multi-digit whole
involving division by 1 or 2-digit
Operations
number by 10 or 100 with no
numbers (including those that
remainder
generate a remainder).
Obj. 34 - Divide a 2-digit whole
number by a 1-digit whole number
with no remainder in the quotient
Obj. 35 - Divide a 3-digit whole
number by a 1-digit whole number
with no remainder in the quotient
Obj. 36 - Divide a 2-digit whole
number by a 1-digit whole number
with a remainder in the quotient
Obj. 37 - Divide a 3-digit whole
number by a 1-digit whole number
with a remainder in the quotient
Obj. 38 - WP: Divide a 2-digit whole
number by a 1-digit whole number
with no remainder in the quotient
Obj. 39 - WP: Divide a 3-digit whole
number by a 1-digit whole number
with no remainder in the quotient
Obj. 40 - WP: Divide a 2-digit whole
number by a 1-digit whole number
with a remainder in the quotient
Obj. 41 - WP: Divide a 3-digit whole
number by a 1-digit whole number
with a remainder in the quotient
GA M4N4.c - Understand the
relationship between dividend,
divisor, quotient, and remainder.
GA M4N4.d - Understand and
explain the effect on the quotient of
multiplying or dividing both the divisor
and dividend by the same number.
(2050 ÷ 50 yields the same answer
as 205 ÷ 5).
GA M4N5 - Students will further
develop their understanding of the
meaning of decimals and use them in
computations.
GA M4N5.a - Understand decimals Topic 1 - Number Sense and
are a part of the base-ten system.
Operations
Page 30 of 151
Obj. 64 - Determine the decimal
number from a pictorial model of
tenths or hundredths
Obj. 65 - Identify a pictorial model of
tenths or hundredths of a decimal
number
041910
Accelerated Math
Grade 4
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 4,
Accelerated Math Second Edition Grade 4
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M4N5.b - Understand the relative Topic 1 - Number Sense and
Obj. 66 - Identify a decimal number
size of numbers and order two digit Operations
to tenths represented by a point on a
decimals.
number line
Obj. 67 - Locate a decimal number to
tenths on a number line
Obj. 72 - Compare decimal numbers
through the hundredths place
GA M4N5.c - Add and subtract both
one and two digit decimals.
Topic 1 - Number Sense and
Operations
GA M4N5.d - Model multiplication
and division of decimals by whole
numbers.
GA M4N5.e - Multiply and divide both Topic 1 - Number Sense and
one and two digit decimals by whole Operations
numbers.
GA M4N6 - Students will further
develop their understanding of the
meaning of decimal fractions and
common fractions and use them in
computations.
GA M4N6.a - Understand
representations of equivalent
common fractions and/or decimal
fractions.
Topic 1 - Number Sense and
Operations
GA M4N6.b - Add and subtract
Topic 1 - Number Sense and
fractions and mixed numbers with like Operations
denominators. (Denominators should
not exceed twelve.)
GA M4N6.c - Use mixed numbers
and improper fractions
interchangeably.
Page 31 of 151
Obj. 73 - Order decimal numbers
through the hundredths place
Obj. 74 - Determine decimal number
pairs that total 1 or 10
Obj. 75 - Add two decimal numbers
through hundredths
Obj. 76 - Subtract two decimal
numbers through hundredths
Obj. 77 - WP: Add or subtract money
amounts greater than $1
Obj. 78 - WP: Solve a money
problem involving 2 steps
Obj. 79 - WP: Add or subtract
decimal numbers of the same place
through hundredths
Obj. 82 - WP: Multiply a money
amount by a 1-digit number
Obj. 83 - WP: Divide a money
amount by a 1-digit number
Obj. 50 - Simplify a fraction
Obj. 51 - Determine a set of
equivalent fractions
Obj. 55 - Add fractions with like
denominators no greater than 10
Obj. 59 - Subtract fractions with like
denominators no greater than 10
041910
Accelerated Math
Grade 4
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 4,
Accelerated Math Second Edition Grade 4
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M4N7 - Students will explain and
use properties of the four arithmetic
operations to solve and check
problems.
GA M4N7.a - Describe situations in
which the four operations may be
used and the relationships among
them.
GA M4N7.b - Compute using the
Topic 2 - Algebra
Obj. 84 - Evaluate a numeric
order of operations, including
expression involving two operations
parentheses.
GA M4N7.c - Compute using the
Topic 1 - Number Sense and
Obj. 21 - Apply the distributive
commutative, associative, and
Operations
property to the multiplication of a 2distributive properties.
digit number by a 1- or 2-digit number
GA M4N7.d - Use mental math and
estimation strategies to compute.
Topic 1 - Number Sense and
Operations
- Students will measure weight in
appropriate metric and standard
units. They will also measure
angles.
GA M4M1 - Students will understand
the concept of weight and how to
measure weight.
GA M4M1.a - Use standard and
metric units to measure the weight of
objects.
GA M4M1.b - Know units used to
measure weight (gram, kilogram,
ounces, pounds, and tons).
GA M4M1.c - Compare one unit to
Topic 3 - Geometry and
another within a single system of
Measurement
measurement.
Obj. 22 - Apply the distributive
property to multiply a multi-digit
number by a 1-digit number
Obj. 20 - Multiply a 1- or 2-digit whole
number by a multiple of 10, 100, or
1,000
Obj. 33 - Divide a multi-digit whole
number by 10 or 100 with no
remainder
Obj. 96 - Convert between customary
units of weight using whole numbers
Obj. 98 - Convert between metric
units of mass using whole numbers
GA M4M2 - Students will understand
the concept of angles and how to
measure them.
GA M4M2.a - Use tools, such as a
protractor or angle ruler, and other
methods such as paper folding,
drawing a diagonal in a square, to
measure angles.
Page 32 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 4,
Accelerated Math Second Edition Grade 4
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M4M2.b - Understand the
meaning and measure of a half
rotation (180°) and a full rotation
(360°).
GA M4M2.c - Determine that the sum
of the three angles of a triangle is
always 180°.
- Students will understand and
build plane and solid geometric
figures. They will also graph
points on the coordinate plane.
GA M4G1 - Students will define and
identify the characteristics of
geometric figures through
examination and construction.
GA M4G1.a - Examine and compare
angles in order to classify and identify
triangles by their angles.
GA M4G1.b - Describe parallel and
perpendicular lines in plane
geometric figures.
GA M4G1.c - Examine and classify
quadrilaterals (including
parallelograms, squares, rectangles,
trapezoids, and rhombi) by their
properties.
GA M4G1.d - Compare and contrast
the relationships among
quadrilaterals.
GA M4G2 - Students will understand
fundamental solid figures.
Grade 4
Topic 3 - Geometry and
Measurement
Obj. 124 - Identify a shape that has
parallel or perpendicular sides
Topic 3 - Geometry and
Measurement
Obj. 126 - Classify a quadrilateral
GA M4G2.a - Compare and contrast
a cube and a rectangular prism in
terms of the number and shape of
their faces, edges, and vertices.
GA M4G2.b - Describe parallel and
perpendicular lines and planes in
connection with the rectangular
prism.
GA M4G2.c - Build/collect models for
solid geometric figures (cubes,
prisms, cylinders, pyramids, spheres,
and cones) using nets and other
representations.
GA M4G3 - Students will use the
coordinate system.
GA M4G3.a - Understand and apply
ordered pairs in the first quadrant of
the coordinate system.
Page 33 of 151
041910
Accelerated Math
Grade 4
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 4,
Accelerated Math Second Edition Grade 4
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M4G3.b - Locate a point in the
Topic 3 - Geometry and
Obj. 133 - Identify the location of an
first quadrant in the coordinate plane Measurement
ordered pair in the first quadrant
and name the ordered pair.
using compass directions
Obj. 134 - Determine the ordered
pair of a point in the first quadrant
using compass directions
GA M4G3.c - Graph ordered pairs in
the first quadrant.
- Students will investigate and
represent mathematical
relationships between quantities
using mathematical expressions in
problem-solving situations.
GA M4A1 - Students will represent
and interpret mathematical
relationships in quantitative
expressions.
GA M4A1.a - Understand and apply
patterns and rules to describe
relationships and solve problems.
GA M4A1.b - Represent unknowns
using symbols, such as square and
triangle.
GA M4A1.c - Write and evaluate
mathematical expressions using
symbols and different values.
- Students will gather, organize,
and display data. They will also
compare features of graphs.
Topic 2 - Algebra
Obj. 86 - Identify a missing term in a
multiplication or a division number
pattern
Obj. 87 - Extend a growing pictorial
or nonnumeric pattern
Obj. 88 - Identify a missing figure in a
growing pictorial or nonnumeric
pattern
Obj. 89 - Identify a missing figure in a
repeating pictorial or nonnumeric
pattern
Obj. 90 - Generate a table of paired
numbers based on a rule
Obj. 91 - Determine a rule that
relates two variables
Obj. 92 - Extend a number pattern in
a table of related pairs
GA M4D1 - Students will gather,
organize, and display data according
to the situation and compare related
features.
Page 34 of 151
041910
Accelerated Math
Grade 4
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 4,
Accelerated Math Second Edition Grade 4
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M4D1.a - Construct and interpret Topic 4 - Data Analysis,
Obj. 135 - Read a line graph
line graphs, line plot graphs,
Statistics, and Probability
pictographs, Venn diagrams, and bar
graphs.
Obj. 136 - Use a line graph to
represent data
Obj. 139 - Read a double-bar graph
Obj. 140 - Use a double-bar graph to
represent data
GA M4D1.b - Investigate the features
and tendencies of graphs.
GA M4D1.c - Compare different
graphical representations for a given
set of data.
GA M4D1.d - Identify missing
information and duplications in data.
GA M4D1.e - Determine and justify
the range, mode, and median of a set
of data.
- Each topic studied in this course
should be developed with careful
thought toward helping every
student achieve the following
process standards.
GA M4P1 - Students will solve
problems (using appropriate
technology).
GA M4P1.a - Build new mathematical
knowledge through problem solving.
GA M4P1.b - Solve problems that
arise in mathematics and in other
contexts.
Topic 1 - Number Sense and
Operations
Obj. 27 - WP: Multiply a multi-digit
whole number by a 1-digit whole
number
Obj. 28 - WP: Multiply a 2-digit whole
number by a 2-digit whole number
Obj. 29 - WP: Multiply a 3-digit whole
number by a 2-digit whole number
Obj. 38 - WP: Divide a 2-digit whole
number by a 1-digit whole number
with no remainder in the quotient
Obj. 39 - WP: Divide a 3-digit whole
number by a 1-digit whole number
with no remainder in the quotient
Page 35 of 151
041910
Accelerated Math
Grade 4
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 4,
Accelerated Math Second Edition Grade 4
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Obj. 40 - WP: Divide a 2-digit whole
number by a 1-digit whole number
with a remainder in the quotient
Obj. 41 - WP: Divide a 3-digit whole
number by a 1-digit whole number
with a remainder in the quotient
GA M4P1.c - Apply and adapt a
variety of appropriate strategies to
solve problems.
GA M4P1.d - Monitor and reflect on
the process of mathematical problem
solving.
GA M4P2 - Students will reason and
evaluate mathematical arguments.
Topic 1 - Number Sense and
Operations
Obj. 42 - WP: Solve a 2-step whole
number problem using more than 1
operation
Obj. 77 - WP: Add or subtract money
amounts greater than $1
Obj. 78 - WP: Solve a money
problem involving 2 steps
Obj. 79 - WP: Add or subtract
decimal numbers of the same place
through hundredths
Obj. 82 - WP: Multiply a money
amount by a 1-digit number
Obj. 83 - WP: Divide a money
amount by a 1-digit number
Obj. 42 - WP: Solve a 2-step whole
number problem using more than 1
operation
Obj. 78 - WP: Solve a money
problem involving 2 steps
GA M4P2.a - Recognize reasoning
and proof as fundamental aspects of
mathematics.
GA M4P2.b - Make and investigate
mathematical conjectures.
GA M4P2.c - Develop and evaluate
mathematical arguments and proofs.
GA M4P2.d - Select and use various
types of reasoning and methods of
proof.
GA M4P3 - Students will
communicate mathematically.
GA M4P3.a - Organize and
consolidate their mathematical
thinking through communication.
Page 36 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 4,
Accelerated Math Second Edition Grade 4
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M4P3.b - Communicate their
mathematical thinking coherently and
clearly to peers, teachers, and others.
Grade 4
GA M4P3.c - Analyze and evaluate
the mathematical thinking and
strategies of others.
GA M4P3.d - Use the language of
mathematics to express
mathematical ideas precisely.
GA M4P4 - Students will make
connections among mathematical
ideas and to other disciplines.
GA M4P4.a - Recognize and use
connections among mathematical
ideas.
GA M4P4.b - Understand how
mathematical ideas interconnect and
build on one another to produce a
coherent whole.
GA M4P4.c - Recognize and apply
mathematics in contexts outside of
mathematics.
GA M4P5 - Students will represent
mathematics in multiple ways.
GA M4P5.a - Create and use
representations to organize, record,
and communicate mathematical
ideas.
GA M4P5.b - Select, apply, and
translate among mathematical
representations to solve problems.
GA M4P5.c - Use representations to
model and interpret physical, social,
and mathematical phenomena.
Page 37 of 151
041910
Accelerated Math
Grade 5
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 5,
Accelerated Math Second Edition Grade 5
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
- Students will further develop
their understanding of the concept
of whole numbers. They will also
understand the meanings of
multiplication and division of
decimals and use decimals and
common fractions in computation,
as well as in problem solving
situations.
GA M5N1 - Students will further
develop their understanding of whole
numbers.
GA M5N1.a - Classify the set of
Topic 1 - Number Sense and
Obj. 1 - Determine if a number to 50
counting numbers into subsets with Operations
is prime or composite
distinguishing characteristics
(odd/even, prime/composite).
GA M5N1.b - Find multiples and
Topic 1 - Number Sense and
Obj. 2 - Determine a complete list of
factors.
Operations
whole number factor pairs for a
number to 50
Obj. 3 - Determine all the factors of a
whole number to 50
Obj. 7 - Determine the multiple(s) of
a number
GA M5N1.c - Analyze and use
Topic 1 - Number Sense and
Obj. 10 - Apply divisibility rules for 2,
divisibility rules.
Operations
5, or 10
GA M5N2 - Students will further
develop their understanding of
decimals as part of the base-ten
number system.
GA M5N2.a - Understand place
Topic 1 - Number Sense and
Obj. 69 - Determine the value of a
value.
Operations
digit in a decimal number to
thousandths
GA M5N2.b - Analyze the effect on
the product when a number is
multiplied by 10, 100, 1000, 0.1, 0.01,
and .001.
GA M5N2.c - Use <, >, or = to
Topic 1 - Number Sense and
Obj. 73 - Compare decimal numbers
compare decimals and justify the
Operations
of differing places to thousandths
comparison.
GA M5N3 - Students will further
develop their understanding of the
meaning of multiplication and division
with decimals and use them.
GA M5N3.a - Model multiplication
and division of decimals.
GA M5N3.b - Explain the process of
multiplication and division, including
situations in which the multiplier and
divisor are both whole numbers and
decimals.
Page 38 of 151
041910
Accelerated Math
Grade 5
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 5,
Accelerated Math Second Edition Grade 5
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M5N3.c - Multiply and divide with Topic 1 - Number Sense and
Obj. 88 - Multiply a money amount by
decimals including decimals less than Operations
a 2- or 3-digit whole number
one and greater than one.
GA M5N3.d - Understand the
relationships and rules for
multiplication and division of whole
numbers also apply to decimals.
GA M5N4 - Students will continue to
develop their understanding of the
meaning of common fractions and
compute with them.
GA M5N4.a - Understand division of Topic 1 - Number Sense and
whole numbers can be represented Operations
as a fraction (a/b = a ÷ b).
Obj. 89 - WP: Multiply a money
amount by a 2-digit whole number
Obj. 30 - Relate a sharing situation to
a fraction
GA M5N4.b - Understand the value
of a fraction is not changed when
both its numerator and denominator
are multiplied or divided by the same
number because it is the same as
multiplying or dividing by one.
GA M5N4.c - Find equivalent
fractions and simplify fractions.
Topic 1 - Number Sense and
Operations
Obj. 31 - Determine equivalent
fractions not in simplest form
Obj. 32 - Determine the simplest
form of a fraction
Topic 1 - Number Sense and
Operations
Obj. 33 - Compare fractions with
unlike denominators
Topic 1 - Number Sense and
Operations
Obj. 36 - Add fractions with unlike
denominators using a model and do
not simplify the sum
Obj. 37 - Add fractions with unlike
denominators and do not simplify the
sum
Obj. 38 - Add fractions with unlike
denominators that have factors in
common and simplify the sum
Obj. 39 - Add fractions with unlike
denominators that have no factors in
common
GA M5N4.d - Model the multiplication
and division of common fractions.
GA M5N4.e - Explore finding
common denominators using
concrete, pictorial, and computational
models.
GA M5N4.f - Use <, >, or = to
compare fractions and justify the
comparison.
GA M5N4.g - Add and subtract
common fractions and mixed
numbers with unlike denominators.
Page 39 of 151
041910
Accelerated Math
Grade 5
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 5,
Accelerated Math Second Edition Grade 5
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Obj. 41 - Subtract fractions with
unlike denominators using a model
and do not simplify the difference
Obj. 42 - Subtract fractions with
unlike denominators and do not
simplify the difference
Obj. 43 - Subtract fractions with
unlike denominators that have factors
in common and simplify the
difference
Obj. 44 - Subtract fractions with
unlike denominators that have no
factors in common
Obj. 46 - WP: Add or subtract
fractions with unlike denominators
that have no factors in common
Obj. 50 - Add mixed numbers with
unlike denominators and simplify the
sum
Obj. 52 - Subtract mixed numbers
with unlike denominators and simplify
the difference
Obj. 54 - WP: Add or subtract mixed
numbers with unlike denominators
that have no factors in common
GA M5N4.h - Use fractions (proper
and improper) and decimals
interchangeably.
Topic 1 - Number Sense and
Operations
Obj. 90 - Convert a decimal number
through thousandths to a simplified
fraction
Obj. 91 - Convert a fraction with a
denominator that is a factor of 10,
100, or 1,000 to decimal notation
Topic 1 - Number Sense and
Operations
Obj. 92 - Determine a model of a
percent on a 100 grid
GA M5N4.i - Estimate products and
quotients.
GA M5N5 - Students will understand
the meaning of percentage.
GA M5N5.a - Explore and model
percents using multiple
representations.
GA M5N5.b - Apply percents to circle
graphs.
Page 40 of 151
Obj. 93 - Determine the percent
represented by a model on a 100 grid
Obj. 95 - Relate an equivalent
decimal and percent given a grid
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 5,
Accelerated Math Second Edition Grade 5
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
- Students will compute the area
of geometric plane figures. They
will also understand the concept
of volume and compute the
volume of simple geometric solids
and measure capacity. Students
will convert from one unit to
another within one system of
measurement.
GA M5M1 - Students will extend their
understanding of area of geometric
plane figures.
GA M5M1.a - Estimate the area of
geometric plane figures.
GA M5M1.b - Derive the formula for
the area of a parallelogram.
GA M5M1.c - Derive the formula for
the area of a triangle.
GA M5M1.d - Find the areas of
Topic 3 - Geometry and
triangles and parallelograms using
Measurement
formulae.
GA M5M1.e - Estimate the area of a
circle through partitioning and tiling.
Topic 3 - Geometry and
GA M5M1.f - Find the area of a
Measurement
polygon (regular and irregular) by
dividing it into squares, rectangles,
and/or triangles and find the sum of
the areas of those shapes.
GA M5M1.g - Derive the formula for
the area of a circle.
GA M5M1.h - Find the area of a
circle using the formula and pi is
approximately 3.14.
GA M5M2. - Students will extend
their understanding of perimeter to
include circumference.
GA M5M2.a - Derive the formula for
the circumference of a circle.
GA M5M2.b - Find the circumference
of a circle using the formula and pi is
approximately 3.14.
Page 41 of 151
Grade 5
Obj. 126 - Use a formula to
determine the area of a triangle
Obj. 128 - Use a formula to
determine the area of a parallelogram
Obj. 129 - WP: Determine the area of
a triangle
Obj. 130 - WP: Determine the area of
a square or rectangle
Obj. 127 - Determine the area of a
complex figure divided into basic
shapes
041910
Accelerated Math
Grade 5
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 5,
Accelerated Math Second Edition Grade 5
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M5M3 - Students will measure
capacity with appropriately chosen
units and tools.
GA M5M3.a - Use milliliters, liters,
fluid ounces, cups, pints, quarts, and
gallons to measure capacity.
GA M5M3.b - Compare one unit to
Topic 3 - Geometry and
Obj. 119 - WP: Compare customary
another within a single system of
Measurement
units of length, weight, or capacity
measurement.
using fractional amounts
GA M5M4 - Students will understand
and compute the volume of a simple
geometric solid.
GA M5M4.a - Understand a cubic
unit (u³) is represented by a cube in
which each edge has the length of 1
unit.
GA M5M4.b - Identify the units used
in computing volume as cubic
centimeters (cm³), cubic meters (m³),
cubic inches (in³), cubic feet (ft³), and
cubic yards (yd³).
GA M5M4.c - Derive the formula for
finding the volume of a cube and a
rectangular prism using
manipulatives.
GA M5M4.d - Compute the volume of Topic 3 - Geometry and
a cube and a rectangular prism using Measurement
formulae.
GA M5M4.e - Estimate the volume of
a simple geometric solid.
GA M5M4.f - Understand the
similarities and differences between
volume and capacity.
- Students will further develop
their understanding of geometric
figures.
GA M5G1 - Students will understand
congruence of geometric figures and
the correspondence of their vertices,
sides, and angles.
Page 42 of 151
Obj. 120 - WP: Compare metric units
of length, mass, or capacity using
decimal amounts
Obj. 132 - Determine the volume of a
rectangular prism given a diagram
Obj. 133 - WP: Determine the
volume of a rectangular prism given a
diagram
Obj. 134 - Determine the volume of a
rectangular prism
Obj. 135 - WP: Determine the
volume of a rectangular prism
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 5,
Accelerated Math Second Edition Grade 5
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M5G2 - Students will understand
the relationship of the circumference
of a circle to its diameter is pi (pi is
approximately 3.14).
- Students will represent and
investigate mathematical
expressions algebraically by using
variables.
GA M5A1 - Students will represent
and interpret the relationships
between quantities algebraically.
GA M5A1.a - Use variables, such as Topic 2 - Algebra
n or x, for unknown quantities in
algebraic expressions.
GA M5A1.b - Investigate simple
Topic 2 - Algebra
algebraic expressions by substituting
numbers for the unknown.
Grade 5
Obj. 98 - Use a variable expression
with one operation to represent a
verbal expression
Obj. 100 - WP: Use a variable
expression with one operation to
represent a situation
Obj. 101 - Evaluate a 1-variable
expression, involving one operation,
using whole number substitution
Obj. 102 - Evaluate a 2-variable
expression, involving one operation,
using whole number substitution
Obj. 103 - WP: Evaluate a 1-variable
expression with one operation using
a whole number value
Obj. 104 - WP: Evaluate a 2-variable
expression with one operation using
whole number values
GA M5A1.c - Determine that a
formula will be reliable regardless of
the type of number (whole numbers
or decimals) substituted for the
variable.
- Students will gather, organize,
and display data and interpret
graphs.
GA M5D1 - Students will analyze
graphs.
GA M5D1.a - Analyze data presented Topic 4 - Data Analysis,
in a graph.
Statistics, and Probability
Page 43 of 151
Obj. 152 - Answer a question using
information from a line graph that
does not start at zero or has a broken
vertical scale
Obj. 153 - WP: Extend a line graph to
solve a problem
Obj. 154 - Read a double- or stackedbar graph
041910
Accelerated Math
Grade 5
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 5,
Accelerated Math Second Edition Grade 5
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Obj. 156 - Answer a question using
information from a double- or stackedbar graph
GA M5D1.b - Compare and contrast
multiple graphic representations
(circle graphs, line graphs, line plot
graphs, pictographs, Venn diagrams,
and bar graphs) for a single set of
data and discuss the
advantages/disadvantages of each.
GA M5D1.c - Determine and justify Topic 4 - Data Analysis,
the mean, range, mode, and median Statistics, and Probability
of a set of data.
GA M5D2 - Students will collect,
organize, and display data using the
most appropriate graph.
- Each topic studied in this course
should be developed with careful
thought toward helping every
student achieve the following
process standards.
Obj. 161 - Determine the mean of a
set of whole number data, whole
number results
Obj. 162 - Determine the median of
an odd number of data values
Obj. 163 - Determine the mode of a
set of whole number data
Obj. 164 - Determine the range of a
set of whole number data
GA M5P1 - Students will solve
problems (using appropriate
technology).
GA M5P1.a - Build new mathematical
knowledge through problem solving.
GA M5P1.b - Solve problems that
arise in mathematics and in other
contexts.
Topic 3 - Geometry and
Measurement
GA M5P1.c - Apply and adapt a
Topic 3 - Geometry and
variety of appropriate strategies to
Measurement
solve problems.
GA M5P1.d - Monitor and reflect on
the process of mathematical problem
solving.
Page 44 of 151
Obj. 129 - WP: Determine the area of
a triangle
Obj. 133 - WP: Determine the
volume of a rectangular prism given a
diagram
Obj. 135 - WP: Determine the
volume of a rectangular prism
Obj. 137 - Answer a question by
analyzing a shape made of cubes
Obj. 137 - Answer a question by
analyzing a shape made of cubes
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 5,
Accelerated Math Second Edition Grade 5
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M5P2 - Students will reason and
evaluate mathematical arguments.
Grade 5
GA M5P2.a - Recognize reasoning
and proof as fundamental aspects of
mathematics.
GA M5P2.b - Make and investigate
mathematical conjectures.
GA M5P2.c - Develop and evaluate
mathematical arguments and proofs.
GA M5P2.d - Select and use various
types of reasoning and methods of
proof.
GA M5P3 - Students will
communicate mathematically.
GA M5P3.a - Organize and
consolidate their mathematical
thinking through communication.
GA M5P3.b - Communicate their
mathematical thinking coherently and
clearly to peers, teachers, and others.
GA M5P3.c - Analyze and evaluate
the mathematical thinking and
strategies of others.
GA M5P3.d - Use the language of
mathematics to express
mathematical ideas precisely.
GA M5P4 - Students will make
connections among mathematical
ideas and to other disciplines.
GA M5P4.a - Recognize and use
connections among mathematical
ideas.
GA M5P4.b - Understand how
mathematical ideas interconnect and
build on one another to produce a
coherent whole.
GA M5P4.c - Recognize and apply
mathematics in contexts outside of
mathematics.
GA M5P5 - Students will represent
mathematics in multiple ways.
GA M5P5.a - Create and use
representations to organize, record,
and communicate mathematical
ideas.
GA M5P5.b - Select, apply, and
translate among mathematical
representations to solve problems.
Page 45 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 5,
Accelerated Math Second Edition Grade 5
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M5P5.c - Use representations to
model and interpret physical, social,
and mathematical phenomena.
Grade 5
Page 46 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 6,
Accelerated Math Second Edition Grade 6
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
- Students will understand the
meaning of the four arithmetic
operations as related to positive
rational numbers and will apply
these concepts and associated
skills in real world situations.
GA M6N1 - Students will understand
the meaning of the four arithmetic
operations as related to positive
rational numbers and will use these
concepts to solve problems.
GA M6N1.a - Apply factors and
multiples.
GA M6N1.b - Decompose numbers
into their prime factorization
(Fundamental Theorem of
Arithmetic).
GA M6N1.c - Determine the greatest
common factor (GCF) and the least
common multiple (LCM) for a set of
numbers.
GA M6N1.d - Add and subtract
fractions and mixed numbers with
unlike denominators.
Page 47 of 151
Grade 6
Topic 1 - Number Sense and
Operations
Obj. 1 - Determine the prime
factorization of a number between 50
and 200
Topic 1 - Number Sense and
Operations
Obj. 2 - Determine the greatest
common factor of three numbers to
100
Topic 1 - Number Sense and
Operations
Obj. 3 - Determine the least common
multiple of three numbers
Obj. 4 - WP: Determine the least
common multiple of two or more
numbers
Obj. 13 - Add fractions with unlike
denominators and simplify the sum
Obj. 14 - Subtract fractions with
unlike denominators and simplify the
difference
Obj. 16 - WP: Add or subtract
fractions with unlike denominators
and simplify the sum or difference
Obj. 17 - Add mixed numbers with
unlike denominators or a mixed
number and a fraction with unlike
denominators and simplify the sum
Obj. 19 - Subtract mixed numbers
with unlike denominators or a mixed
number and a fraction and simplify
the difference
Obj. 20 - Add and subtract three
unlike-denominator fractions, mixed
numbers, or fractions and mixed
numbers, and simplify the answer
041910
Accelerated Math
Grade 6
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 6,
Accelerated Math Second Edition Grade 6
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Obj. 21 - WP: Add or subtract mixed
numbers with unlike denominators or
a mixed number and a fraction with
unlike denominators and simplify the
sum or difference
GA M6N1.e - Multiply and divide
fractions and mixed numbers.
Topic 1 - Number Sense and
Operations
GA M6N1.f - Use fractions, decimals, Topic 1 - Number Sense and
and percents interchangeably.
Operations
GA M6N1.g - Solve problems
involving fractions, decimals, and
percents.
Page 48 of 151
Topic 1 - Number Sense and
Operations
Obj. 22 - Multiply a fraction by a
fraction
Obj. 23 - Multiply a mixed number by
a whole number
Obj. 24 - Multiply a mixed number by
a fraction
Obj. 25 - Multiply a mixed number by
a mixed number
Obj. 29 - Divide a fraction by a
fraction
Obj. 30 - Divide a whole number by a
fraction resulting in a fractional
quotient
Obj. 31 - Divide a mixed number by a
fraction
Obj. 32 - Divide a mixed number by a
mixed number
Obj. 33 - WP: Multiply or divide a
fraction by a fraction
Obj. 34 - WP: Multiply or divide two
mixed numbers or a mixed number
and a fraction
Obj. 68 - Convert a mixed number to
a decimal number
Obj. 69 - Convert a decimal number
to a mixed number
Obj. 70 - Convert a fraction to a
repeating decimal number
Obj. 72 - Convert a decimal number
to a percentage
Obj. 73 - Convert a percentage to a
decimal number
Obj. 74 - Convert a fraction to a
percentage
Obj. 75 - Convert a percentage to a
fraction
Obj. 16 - WP: Add or subtract
fractions with unlike denominators
and simplify the sum or difference
Obj. 21 - WP: Add or subtract mixed
numbers with unlike denominators or
a mixed number and a fraction with
unlike denominators and simplify the
sum or difference
041910
Accelerated Math
Grade 6
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 6,
Accelerated Math Second Edition Grade 6
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Obj. 33 - WP: Multiply or divide a
fraction by a fraction
Obj. 34 - WP: Multiply or divide two
mixed numbers or a mixed number
and a fraction
Obj. 35 - WP: Solve a 2-step problem
involving fractions
Obj. 42 - WP: Add and subtract three
decimal numbers
Obj. 45 - WP: Multiply a money
expression by a decimal number
Obj. 51 - WP: Multiply two decimal
numbers to thousandths
Obj. 65 - WP: Divide a decimal
through thousandths by a decimal
through thousandths, rounded
quotient if needed
Obj. 67 - WP: Solve a 2-step problem
involving decimals
Obj. 78 - Determine a percent where
a ratio, not in 100ths, is given in
words
Obj. 79 - Calculate a percent of a
whole number where the answer is a
whole number
Obj. 80 - WP: Calculate the percent
of a whole number where the answer
is a whole number
- Students will understand how to
determine the volume and surface
area of solid figures. They will
understand and use the customary
and metric systems of
measurement to measure
quantities efficiently and to
represent volume and surface area
appropriately.
GA M6M1 - Students will convert
from one unit to another within one
system of measurement (customary
or metric) by using proportional
relationships.
GA M6M2 - Students will use
appropriate units of measure for
finding length, perimeter, area and
volume and will express each
quantity using the appropriate unit.
GA M6M2.a - Measure length to the
nearest half, fourth, eighth and
sixteenth of an inch.
Page 49 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 6,
Accelerated Math Second Edition Grade 6
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M6M2.b - Select and use units of
appropriate size and type to measure
length, perimeter, area and volume.
Grade 6
GA M6M2.c - Compare and contrast
units of measure for perimeter, area,
and volume.
GA M6M3 - Students will determine
the volume of fundamental solid
figures (right rectangular prisms,
cylinders, pyramids and cones).
GA M6M3.a - Determine the formula
for finding the volume of fundamental
solid figures.
GA M6M3.b - Compute the volumes
of fundamental solid figures, using
appropriate units of measure.
GA M6M3.c - Estimate the volumes
of simple geometric solids.
GA M6M3.d - Solve application
problems involving the volume of
fundamental solid figures.
GA M6M4 - Students will determine
the surface area of solid figures (right
rectangular prisms and cylinders).
GA M6M4.a - Find the surface area
of right rectangular prisms and
cylinders using manipulatives and
constructing nets.
GA M6M4.b - Compute the surface
area of right rectangular prisms and
cylinders using formulae.
GA M6M4.c - Estimate the surface
area of simple geometric solids.
GA M6M4.d - Solve application
problems involving surface area of
right rectangular prisms and
cylinders.
- Students will further develop
their understanding of plane and
solid geometric figures,
incorporating the use of
appropriate technology and using
this knowledge to solve authentic
problems.
GA M6G1 - Students will further
develop their understanding of plane
figures.
Page 50 of 151
041910
Accelerated Math
Grade 6
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 6,
Accelerated Math Second Edition Grade 6
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M6G1.a - Determine and use
Topic 3 - Geometry and
Obj. 135 - Use symmetry to
lines of symmetry.
Measurement
determine a length or an angle
measure
GA M6G1.b - Investigate rotational
symmetry, including degree of
rotation.
GA M6G1.c - Use the concepts of
ratio, proportion and scale factor to
demonstrate the relationships
between similar plane figures.
GA M6G1.d - Interpret and sketch
simple scale drawings.
GA M6G1.e - Solve problems
involving scale drawings.
GA M6G2 - Students will further
develop their understanding of solid
figures.
GA M6G2.a - Compare and contrast
right prisms and pyramids.
GA M6G2.b - Compare and contrast
cylinders and cones.
GA M6G2.c - Interpret and sketch
front, back, top, bottom and side
views of solid figures.
GA M6G2.d - Construct nets for
prisms, cylinders, pyramids, and
cones.
- Students will investigate
relationships between two
quantities. They will write and
solve proportions and simple onestep equations that result from
problem situations.
GA M6A1 - Students will understand Topic 1 - Number Sense and
the concept of ratio and use it to
Operations
represent quantitative relationships.
Obj. 81 - WP: Determine a ratio
using whole numbers less than 50
Obj. 82 - Determine if ratios, using
whole numbers less than 50, are
equivalent
Obj. 83 - WP: Determine a part given
a ratio and the whole where the
whole is less than 50
Obj. 84 - WP: Determine a part given
a ratio and another part where the
whole is less than 50
Obj. 85 - WP: Determine the whole
given a ratio and a part where the
whole is less than 50
Page 51 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 6,
Accelerated Math Second Edition Grade 6
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M6A2 - Students will consider
relationships between varying
quantities.
GA M6A2.a - Analyze and describe
patterns arising from mathematical
rules, tables, and graphs.
GA M6A2.b - Use manipulatives or
draw pictures to solve problems
involving proportional relationships.
GA M6A2.c - Use proportions
Topic 2 - Algebra
(a/b=c/d) to describe relationships
and solve problems, including
percent problems.
GA M6A2.d - Describe proportional
relationships mathematically using y
= kx, where k is the constant of
proportionality.
GA M6A2.e - Graph proportional
relationships in the form y = kx and
describe characteristics of the
graphs.
GA M6A2.f - In a proportional
relationship expressed as y = kx,
solve for one quantity given values of
the other two. Given quantities may
be whole numbers, decimals, or
fractions. Solve problems using the
relationship y = kx.
GA M6A2.g - Use proportional
Topic 2 - Algebra
reasoning (a/b=c/d and y = kx) to
solve problems.
Topic 2 - Algebra
GA M6A3 - Students will evaluate
algebraic expressions, including
those with exponents, and solve
simple one-step equations using
each of the four basic operations.
Page 52 of 151
Grade 6
Obj. 102 - Solve a proportion
Obj. 102 - Solve a proportion
Obj. 98 - Evaluate a 1-variable
expression, with two or three
operations, using whole number
substitution
Obj. 99 - Evaluate a 2-variable
expression, with two or three
operations, using whole number
substitution
Obj. 100 - WP: Evaluate a 1- or 2variable expression or formula using
whole numbers
Obj. 101 - Solve a 1-step equation
involving whole numbers
041910
Accelerated Math
Grade 6
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 6,
Accelerated Math Second Edition Grade 6
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
- Students will demonstrate
understanding of data analysis by
posing questions to be answered
by collecting data. They will
represent, investigate, and use
data to answer those questions.
Students will understand
experimental and theoretical
probability.
GA M6D1 - Students will pose
questions, collect data, represent and
analyze the data, and interpret
results.
GA M6D1.a - Formulate questions
that can be answered by data.
Students should collect data by using
samples from a larger population
(surveys), or by conducting
experiments.
GA M6D1.b - Using data, construct Topic 4 - Data Analysis,
Obj. 145 - Use a frequency table to
frequency distributions, frequency
Statistics, and Probability
represent 2 related data sets
tables, and graphs.
GA M6D1.c - Choose appropriate
graphs to be consistent with the
nature of the data (categorical or
numerical). Graphs should include
pictographs, histograms, bar graphs,
line graphs, circle graphs, and line
plots.
GA M6D1.d - Use tables and graphs
to examine variation that occurs
within a group and variation that
occurs between groups.
GA M6D1.e - Relate the data
analysis to the context of the
questions posed.
GA M6D2 - Students will use
experimental and simple theoretical
probability and understand the nature
of sampling. They will also make
predictions from investigations.
GA M6D2.a - Predict the probability
of a given event through
trials/simulations (experimental
probability), and represent the
probability as a ratio.
Page 53 of 151
Topic 4 - Data Analysis,
Statistics, and Probability
Obj. 151 - Determine an
experimental probability given a list of
results
Obj. 154 - Make a prediction based
on an experimental probability
041910
Accelerated Math
Grade 6
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 6,
Accelerated Math Second Edition Grade 6
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M6D2.b - Determine, and use a Topic 4 - Data Analysis,
Obj. 152 - Determine the probability
ratio to represent, the theoretical
Statistics, and Probability
of a single event
probability of a given event.
Obj. 155 - Make a prediction based
on a theoretical probability
GA M6D2.c - Discover that
experimental probability approaches
theoretical probability when the
number of trials is large.
- Each topic studied in this course
should be developed with careful
thought toward helping every
student achieve the following
process standards.
GA M6P1 - Students will solve
problems (using appropriate
technology).
GA M6P1.a - Build new mathematical
knowledge through problem solving.
GA M6P1.b - Solve problems that
arise in mathematics and in other
contexts.
Topic 1 - Number Sense and
Operations
Obj. 4 - WP: Determine the least
common multiple of two or more
numbers
Obj. 16 - WP: Add or subtract
fractions with unlike denominators
and simplify the sum or difference
Obj. 21 - WP: Add or subtract mixed
numbers with unlike denominators or
a mixed number and a fraction with
unlike denominators and simplify the
sum or difference
Obj. 33 - WP: Multiply or divide a
fraction by a fraction
Obj. 34 - WP: Multiply or divide two
mixed numbers or a mixed number
and a fraction
Obj. 35 - WP: Solve a 2-step problem
involving fractions
Obj. 45 - WP: Multiply a money
expression by a decimal number
Obj. 51 - WP: Multiply two decimal
numbers to thousandths
Obj. 65 - WP: Divide a decimal
through thousandths by a decimal
through thousandths, rounded
quotient if needed
Obj. 67 - WP: Solve a 2-step problem
involving decimals
Page 54 of 151
041910
Accelerated Math
Grade 6
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 6,
Accelerated Math Second Edition Grade 6
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Obj. 80 - WP: Calculate the percent
of a whole number where the answer
is a whole number
Obj. 81 - WP: Determine a ratio
using whole numbers less than 50
Obj. 83 - WP: Determine a part given
a ratio and the whole where the
whole is less than 50
Obj. 84 - WP: Determine a part given
a ratio and another part where the
whole is less than 50
Obj. 85 - WP: Determine the whole
given a ratio and a part where the
whole is less than 50
GA M6P1.c - Apply and adapt a
variety of appropriate strategies to
solve problems.
GA M6P1.d - Monitor and reflect on
the process of mathematical problem
solving.
GA M6P2 - Students will reason and
evaluate mathematical arguments.
GA M6P2.a - Recognize reasoning
and proof as fundamental aspects of
mathematics.
GA M6P2.b - Make and investigate
mathematical conjectures.
GA M6P2.c - Develop and evaluate
mathematical arguments and proofs.
GA M6P2.d - Select and use various
types of reasoning and methods of
proof.
GA M6P3 - Students will
communicate mathematically.
GA M6P3.a - Organize and
consolidate their mathematical
thinking through communication.
GA M6P3.b - Communicate their
mathematical thinking coherently and
clearly to peers, teachers, and others.
GA M6P3.c - Analyze and evaluate
the mathematical thinking and
strategies of others.
GA M6P3.d - Use the language of
mathematics to express
mathematical ideas precisely.
GA M6P4 - Students will make
connections among mathematical
ideas and to other disciplines.
Page 55 of 151
Topic 2 - Algebra
Obj. 95 - WP: Use a variable
expression with two operations to
represent a situation
041910
Accelerated Math
Grade 6
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 6,
Accelerated Math Second Edition Grade 6
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M6P4.a - Recognize and use
connections among mathematical
ideas.
GA M6P4.b - Understand how
mathematical ideas interconnect and
build on one another to produce a
coherent whole.
GA M6P4.c - Recognize and apply
mathematics in contexts outside of
mathematics.
GA M6P5 - Students will represent
mathematics in multiple ways.
GA M6P5.a - Create and use
representations to organize, record,
and communicate mathematical
ideas.
GA M6P5.b - Select, apply, and
Topic 2 - Algebra
Obj. 95 - WP: Use a variable
translate among mathematical
expression with two operations to
representations to solve problems.
represent a situation
GA M6P5.c - Use representations to
model and interpret physical, social,
and mathematical phenomena.
GA MRC. - Students will enhance
reading in all curriculum areas by:
GA M6RC1.a - Reading in all
curriculum areas
GA M6RC1.a.1 - Read a minimum of
25 grade-level appropriate books per
year from a variety of subject
disciplines and participate in
discussions related to curricular
learning in all areas.
GA M6RC1.a.2 - Read both
informational and fictional texts in a
variety of genres and modes of
discourse.
GA M6RC1.a.3 - Read technical texts
related to various subject areas.
GA M6RC1.b - Discussing books
GA M6RC1.b.1 - Discuss messages
and themes from books in all subject
areas.
GA M6RC1.b.2 - Respond to a
variety of texts in multiple modes of
discourse.
GA M6RC1.b.3 - Relate messages
and themes from one subject area to
messages and themes in another
area.
Page 56 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 6,
Accelerated Math Second Edition Grade 6
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M6RC1.b.4 - Evaluate the merit
of texts in every subject discipline.
Grade 6
GA M6RC1.b.5 - Examine author's
purpose in writing.
GA M6RC1.b.6 - Recognize the
features of disciplinary texts.
GA M6RC1.c - Building vocabulary
knowledge
GA M6RC1.c.1 - Demonstrate an
understanding of contextual
vocabulary in various subjects.
GA M6RC1.c.2 - Use content
vocabulary in writing and speaking.
GA M6RC1.c.3 - Explore
understanding of new words found in
subject area texts.
GA M6RC1.d - Establishing context
GA M6RC1.d.1 - Explore life
experiences related to subject area
content.
GA M6RC1.d.2 - Discuss in both
writing and speaking how certain
words are subject area related.
GA M6RC1.d.3 - Determine
strategies for finding content and
contextual meaning for unknown
words.
Page 57 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 7,
Accelerated Math Second Edition Grade 7
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
- Students will further develop
their understanding of the concept
of rational numbers and apply
them to real world situations.
GA M7N1 - Students will understand
the meaning of positive and negative
rational numbers and use them in
computation.
GA M7N1.a - Find the absolute value Topic 1 - Number Sense and
of a number and understand it as the Operations
distance from zero on a number line.
GA M7N1.b - Compare and order
Topic 1 - Number Sense and
rational numbers, including repeating Operations
decimals.
GA M7N1.c - Add, subtract, multiply, Topic 1 - Number Sense and
and divide positive and negative
Operations
rational numbers.
GA M7N1.d - Solve problems using
rational numbers.
Topic 1 - Number Sense and
Operations
Grade 7
Obj. 33 - Evaluate the absolute value
of an integer
Obj. 59 - Compare rational numbers
(positive and negative)
Obj. 60 - Order rational numbers
(positive and negative)
Obj. 30 - WP: Answer a question
involving a fraction and a decimal
Obj. 31 - WP: Solve a multi-step
problem involving decimal numbers
Obj. 32 - WP: Solve a multi-step
problem involving fractions or mixed
numbers
Obj. 37 - Add integers
Obj. 39 - Subtract integers
Obj. 40 - WP: Add and subtract using
integers
Obj. 41 - Multiply integers
Obj. 42 - Divide integers
Obj. 43 - WP: Multiply or divide
integers
Obj. 23 - WP: Determine the percent
a whole number is of another whole
number, with a result less than 100%
Obj. 24 - WP: Determine a whole
number given a part and a
percentage
Obj. 25 - WP: Determine the percent
of decrease applied to a number
Obj. 26 - WP: Determine the percent
of increase applied to a number
Obj. 27 - WP: Determine the result of
applying a percent of decrease to a
value
Page 58 of 151
041910
Accelerated Math
Grade 7
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 7,
Accelerated Math Second Edition Grade 7
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Obj. 28 - WP: Determine the result of
applying a percent of increase to a
value
Obj. 29 - WP: Answer a question
involving a fraction and a percent
Obj. 30 - WP: Answer a question
involving a fraction and a decimal
Obj. 31 - WP: Solve a multi-step
problem involving decimal numbers
Obj. 32 - WP: Solve a multi-step
problem involving fractions or mixed
numbers
Obj. 40 - WP: Add and subtract using
integers
Obj. 43 - WP: Multiply or divide
integers
- Students will further develop and
apply their understanding of plane
and solid geometric figures
through the use of constructions
and transformations. Students will
explore the properties of similarity
and further develop their
understanding of 3-dimensional
figures.
GA M7G1 - Students will construct
plane figures that meet given
conditions.
GA M7G1.a - Perform basic
constructions using both compass
and straight edge, and appropriate
technology. Constructions should
include copying a segment; copying
an angle; bisecting a segment;
bisecting an angle; constructing
perpendicular lines, including the
perpendicular bisector of a line
segment; and constructing a line
parallel to a given line through a point
not on the line.
GA M7G1.b - Recognize that many
constructions are based on the
creation of congruent triangles.
GA M7G2 - Students will
demonstrate understanding of
transformations.
Page 59 of 151
041910
Accelerated Math
Grade 7
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 7,
Accelerated Math Second Edition Grade 7
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M7G2.a - Demonstrate
understanding of translations,
dilations, rotations, reflections, and
relate symmetry to appropriate
transformations.
GA M7G2.b - Given a figure in the
Topic 3 - Geometry and
Obj. 121 - Determine the coordinates
of a translated, a rotated, or a
coordinate plane, determine the
Measurement
reflected shape on the Cartesian
coordinates resulting from a
plane
translation, dilation, rotation, or
reflection.
GA M7G3. - Students will use the
properties of similarity and apply
these concepts to geometric figures.
Topic 3 - Geometry and
GA M7G3.a - Understand the
Measurement
meaning of similarity, visually
compare geometric figures for
similarity, and describe similarities by
listing corresponding parts.
Obj. 101 - Identify corresponding
parts of congruent shapes
Topic 3 - Geometry and
GA M7G3.b - Understand the
Measurement
relationships among scale factors,
length ratios, and area ratios between
similar figures. Use scale factors,
length ratios, and area ratios to
determine side lengths and areas of
similar geometric figures.
Obj. 103 - Determine a missing
dimension given two congruent
shapes
Obj. 102 - Identify congruent shapes
given side and angle measures
Obj. 104 - Determine a missing
dimension given two similar shapes
GA M7G3.c - Understand
congruence of geometric figures as a
special case of similarity: The figures
have the same size and shape.
Obj. 105 - WP: Solve a problem
involving similar shapes
GA M7G4. - Students will further
develop their understanding of threedimensional figures.
GA M7G4.a - Describe threedimensional figures formed by
translations and rotations of plane
figures through space.
GA M7G4.b - Sketch, model, and
describe cross-sections of cones,
cylinders, pyramids, and prisms.
Page 60 of 151
041910
Accelerated Math
Grade 7
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 7,
Accelerated Math Second Edition Grade 7
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
- Students will demonstrate an
understanding of linear relations
and fundamental algebraic
concepts.
GA M7A1 - Students will represent
and evaluate quantities using
algebraic expressions.
GA M7A1.a - Translate verbal
Topic 2 - Algebra
Obj. 69 - WP: Use a 2-variable
phrases to algebraic expressions.
expression to represent a situation
GA M7A1.b - Simplify and evaluate Topic 2 - Algebra
Obj. 61 - Evaluate a rational
algebraic expressions, using
expression involving variables with
commutative, associative, and
two or more terms in the numerator
distributive properties as appropriate.
or denominator
Obj. 62 - Evaluate a 1-variable
expression, with two or three
operations, using integer substitution
Obj. 63 - Evaluate a 2-variable
expression, with two or three
operations, using integer substitution
GA M7A1.c - Add and subtract linear
expressions.
GA M7A2 - Students will understand
and apply linear equations in one
variable.
GA M7A2.a - Given a problem,
Topic 2 - Algebra
define a variable, write an equation,
solve the equation, and interpret the
solution.
GA M7A2.b - Use the addition and
Topic 2 - Algebra
multiplication properties of equality to
solve one- and two-step linear
equations.
GA M7A3 - Students will understand
relationships between two variables.
Page 61 of 151
Obj. 64 - Evaluate an algebraic
expression involving whole number
exponents
Obj. 65 - WP: Evaluate a variable
expression
Obj. 66 - WP: Evaluate a variable
expression involving exponents
Obj. 73 - Solve a 1-step linear
equation involving integers
Obj. 74 - Solve a 2-step linear
equation involving integers
Obj. 75 - WP: Use a 1-variable 1step equation to represent a situation
Obj. 73 - Solve a 1-step linear
equation involving integers
Obj. 74 - Solve a 2-step linear
equation involving integers
041910
Accelerated Math
Grade 7
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 7,
Accelerated Math Second Edition Grade 7
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M7A3.a - Plot points on a
coordinate plane.
GA M7A3.b - Represent, describe,
Topic 2 - Algebra
Obj. 68 - Use a variable expression
and analyze relations from tables,
with two operations to represent a
graphs, and formulas.
table of paired numbers
GA M7A3.c - Describe how change
in one variable affects the other
variable.
GA M7A3.d - Describe patterns in
the graphs of proportional
relationships, both direct (y = kx) and
inverse (y = k/x).
- Students will demonstrate
understanding of data analysis by
posing questions, collecting data,
analyzing the data using measures
of central tendency and variation,
and using the data to answer the
questions posed. Students will
understand the role of probability
in sampling.
GA M7D1 - Students will pose
questions, collect data, represent and
analyze the data, and interpret
results.
GA M7D1.a - Formulate questions
and collect data from a census of at
least 30 objects and from samples of
varying sizes.
GA M7D1.b - Construct frequency
distributions.
GA M7D1.c - Analyze data using
Topic 4 - Data Analysis,
measures of central tendency (mean, Statistics, and Probability
median, and mode), including
recognition of outliers.
Page 62 of 151
Obj. 81 - Use a table to represent a
linear function
Obj. 82 - Use a graph to represent
the ordered pairs in a function table
Obj. 83 - Determine the graph of a 1operation linear function
Obj. 132 - Determine the mean of a
set of data
Obj. 133 - Determine the mode(s) of
a set of data
Obj. 134 - Determine the median of a
set of data
Obj. 135 - WP: Use the mean of a
data set to solve a problem
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 7,
Accelerated Math Second Edition Grade 7
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M7D1.d - Analyze data with
respect to measures of variation
(range, quartiles, interquartile range).
Grade 7
GA M7D1.e - Compare measures of
central tendency and variation from
samples to those from a census.
Observe that sample statistics are
more likely to approximate the
population parameters as sample
size increases.
Topic 4 - Data Analysis,
GA M7D1.f - Analyze data using
Statistics, and Probability
appropriate graphs, including
pictographs, histograms, bar graphs,
line graphs, circle graphs, and line
plots introduced earlier, and using
box-and-whisker plots and scatter
plots.
GA M7D1.g - Analyze and draw
conclusions about data, including
describing the relationship between
two variables.
- The following process standards
are essential to mastering each of
the mathematics content
standards. They emphasize critical
dimensions of the mathematical
proficiency that all students need.
Obj. 125 - Answer a question using
information from a circle graph using
percentage calculations
Obj. 128 - Answer a question using
information from a histogram
GA M7P1 - Students will solve
problems (using appropriate
technology).
GA M7P1.a - Build new mathematical
knowledge through problem solving.
GA M7P1.b - Solve problems that
arise in mathematics and in other
contexts.
Topic 1 - Number Sense and
Operations
Obj. 22 - WP: Determine a percent of
a whole number using less than
100%
Obj. 23 - WP: Determine the percent
a whole number is of another whole
number, with a result less than 100%
Obj. 24 - WP: Determine a whole
number given a part and a
percentage
Obj. 25 - WP: Determine the percent
of decrease applied to a number
Page 63 of 151
041910
Accelerated Math
Grade 7
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 7,
Accelerated Math Second Edition Grade 7
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Obj. 26 - WP: Determine the percent
of increase applied to a number
GA M7P1.c - Apply and adapt a
variety of appropriate strategies to
solve problems.
GA M7P1.d - Monitor and reflect on
the process of mathematical problem
solving.
GA M7P2 - Students will reason and
evaluate mathematical arguments.
Obj. 27 - WP: Determine the result of
applying a percent of decrease to a
value
Obj. 28 - WP: Determine the result of
applying a percent of increase to a
value
Obj. 29 - WP: Answer a question
involving a fraction and a percent
Obj. 30 - WP: Answer a question
involving a fraction and a decimal
Obj. 31 - WP: Solve a multi-step
problem involving decimal numbers
Obj. 32 - WP: Solve a multi-step
problem involving fractions or mixed
numbers
GA M7P2.a - Recognize reasoning
and proof as fundamental aspects of
mathematics.
GA M7P2.b - Make and investigate
mathematical conjectures.
GA M7P2.c - Develop and evaluate
mathematical arguments and proofs.
GA M7P2.d - Select and use various
types of reasoning and methods of
proof.
GA M7P3 - Students will
communicate mathematically.
GA M7P3.a - Organize and
consolidate their mathematical
thinking through communication.
GA M7P3.b - Communicate their
mathematical thinking coherently and
clearly to peers, teachers, and others.
GA M7P3.c - Analyze and evaluate
the mathematical thinking and
strategies of others.
Page 64 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 7,
Accelerated Math Second Edition Grade 7
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M7P3.d - Use the language of
mathematics to express
mathematical ideas precisely.
GA M7P4 - Students will make
connections among mathematical
ideas and to other disciplines.
GA M7P4.a - Recognize and use
connections among mathematical
ideas.
GA M7P4.b - Understand how
mathematical ideas interconnect and
build on one another to produce a
coherent whole.
GA M7P4.c - Recognize and apply
mathematics in contexts outside of
mathematics.
GA M7P5 - Students will represent
mathematics in multiple ways.
GA M7P5.a - Create and use
representations to organize, record,
and communicate mathematical
ideas.
GA M7P5.b - Select, apply, and
translate among mathematical
representations to solve problems.
GA M7P5.c - Use representations to
model and interpret physical, social,
and mathematical phenomena.
Grade 7
GA MRC. - Students will enhance
reading in all curriculum areas by:
GA M7RC1.a - Reading in all
curriculum areas
GA M7RC1.a.1 - Read a minimum of
25 grade-level appropriate books per
year from a variety of subject
disciplines and participate in
discussions related to curricular
learning in all areas.
GA M7RC1.a.2 - Read both
informational and fictional texts in a
variety of genres and modes of
discourse.
GA M7RC1.a.3 - Read technical texts
related to various subject areas.
GA M7RC1.b - Discussing books.
GA M7RC1.b.1 - Discuss messages
and themes from books in all subject
areas.
Page 65 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 7,
Accelerated Math Second Edition Grade 7
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M7RC1.b.2 - Respond to a
variety of texts in multiple modes of
discourse.
GA M7RC1.b.3 - Relate messages
and themes from one subject area to
messages and themes in another
area.
GA M7RC1.b.4 - Evaluate the merit
of texts in every subject discipline.
Grade 7
GA M7RC1.b.5 - Examine author's
purpose in writing.
GA M7RC1.b.6 - Recognize the
features of disciplinary texts.
GA M7RC1.c - Building vocabulary
knowledge
GA M7RC1.c.1 - Demonstrate an
understanding of contextual
vocabulary in various subjects.
GA M7RC1.c.2 - Use content
vocabulary in writing and speaking.
GA M7RC1.c.3 - Explore
understanding of new words found in
subject area texts.
GA M7RC1.d - Establishing context
GA M7RC1.d.1 - Explore life
experiences related to subject area
content.
GA M7RC1.d.2 - Discuss in both
writing and speaking how certain
words are subject area related.
GA M7RC1.d.3 - Determine
strategies for finding content and
contextual meaning for unknown
words.
Page 66 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 8,
Accelerated Math Second Edition Grade 8
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
- Students will understand the
numeric and geometric meaning of
square root, apply properties of
integer exponents and use
scientific notation.
GA M8N1 - Students will understand
different representations of numbers
including square roots, exponents,
and scientific notation.
GA M8N1.a - Find square roots of
perfect squares.
Topic 1 - Number Sense and
Operations
Obj. 12 - Determine the square root
of a perfect-square fraction or
decimal
Obj. 13 - Determine both square
roots of a perfect square
Topic 1 - Number Sense and
Operations
Obj. 14 - Determine the two closest
integers to a given square root
GA M8N1.b - Recognize the
(positive) square root of a number as
a length of a side of a square with a
given area.
GA M8N1.c - Recognize square roots
as points and as lengths on a number
line.
GA M8N1.d - Understand that the
square root of 0 is 0 and that every
positive number has two square roots
that are opposite in sign.
GA M8N1.e - Recognize and use the
radical symbol to denote the positive
square root of a positive number.
GA M8N1.f - Estimate square roots
of positive numbers.
Obj. 16 - Determine the square root
of a whole number to the nearest
tenth
GA M8N1.g - Simplify, add, subtract,
multiply, and divide expressions
containing square roots.
GA M8N1.h - Distinguish between
rational and irrational numbers.
GA M8N1.i - Simplify expressions
containing integer exponents.
Page 67 of 151
Grade 8
Topic 1 - Number Sense and
Operations
Topic 1 - Number Sense and
Operations
Obj. 18 - Identify rational or irrational
numbers
Obj. 1 - Evaluate an integer raised to
a whole number power
Obj. 2 - Evaluate a zero or negative
power of an integer
Obj. 3 - Evaluate a numerical
expression involving integer
exponents and/or integer bases
Obj. 11 - Determine the square of a
fraction or a decimal
041910
Accelerated Math
Grade 8
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 8,
Accelerated Math Second Edition Grade 8
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M8N1.j - Express and use
Topic 1 - Number Sense and
Obj. 4 - Convert a number less than
numbers in scientific notation.
Operations
1 to scientific notation
Obj. 5 - Convert a number less than
1 from scientific notation to standard
form
GA M8N1.k - Use appropriate
technologies to solve problems
involving square roots, exponents,
and scientific notation.
- Students will use and apply
geometric properties of plane
figures, including congruence and
the Pythagorean theorem.
GA M8G1 - Students will understand
and apply the properties of parallel
and perpendicular lines and
understand the meaning of
congruence.
GA M8G1.a - Investigate
characteristics of parallel and
perpendicular lines both algebraically
and geometrically.
GA M8G1.b - Apply properties of
Topic 3 - Geometry and
Obj. 68 - Identify angle relationships
angle pairs formed by parallel lines
Measurement
formed by parallel lines cut by a
cut by a transversal.
transversal
Obj. 69 - Determine an angle
measure formed by parallel lines cut
by a transversal
GA M8G1.c - Understand the
properties of the ratio of segments of
parallel lines cut by one or more
transversals.
GA M8G1.d - Understand the
meaning of congruence: that all
corresponding angles are congruent
and all corresponding sides are
congruent.
GA M8G2 - Students will understand
and use the Pythagorean theorem.
GA M8G2.a - Apply properties of
right triangles, including the
Pythagorean theorem.
Page 68 of 151
Topic 3 - Geometry and
Measurement
Obj. 71 - Determine the length of the
hypotenuse of a right triangle using
the Pythagorean theorem
Obj. 72 - Determine the length of a
leg of a right triangle using the
Pythagorean theorem
Obj. 73 - WP: Use the Pythagorean
theorem to find a length or a distance
Obj. 74 - Determine a distance on
the Cartesian plane using the
Pythagorean theorem
041910
Accelerated Math
Grade 8
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 8,
Accelerated Math Second Edition Grade 8
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Obj. 75 - Determine if a triangle is a
right triangle by using the
Pythagorean theorem
GA M8G2.b - Recognize and
interpret the Pythagorean theorem as
a statement about areas of squares
on the sides of a right triangle.
- Students will use linear algebra
to represent, analyze and solve
problems. They will use equations,
tables, and graphs to investigate
linear relations and functions,
paying particular attention to slope
as a rate of change.
GA M8A1 - Students will use algebra
to represent, analyze, and solve
problems.
GA M8A1.a - Represent a given
Topic 2 - Algebra
situation using algebraic expressions
or equations in one variable.
GA M8A1.b - Simplify and evaluate
algebraic expressions.
Topic 2 - Algebra
Obj. 39 - WP: Use a 1-variable
equation with rational coefficients to
represent a situation involving two
operations
Obj. 31 - Evaluate a 2-variable
expression with two or three
operations substituting fractions or
decimals
Obj. 32 - Evaluate an algebraic
expression involving negative integer
exponents
Obj. 33 - Simplify an algebraic
expression by combining like terms
Obj. 35 - Multiply two monomial
algebraic expressions
Obj. 36 - Use the distributive property
to simplify an algebraic expression
GA M8A1.c - Solve algebraic
equations in one variable, including
equations involving absolute values.
GA M8A1.d - Solve equations
involving several variables for one
variable in terms of the others.
GA M8A1.e - Interpret solutions in
problem contexts.
Page 69 of 151
Topic 2 - Algebra
Obj. 37 - Solve a 1-step equation
involving rational numbers
Obj. 38 - Solve a 2-step equation
involving rational numbers
Obj. 41 - WP: Solve a problem
involving a 1-variable, 2-step
equation
041910
Accelerated Math
Grade 8
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 8,
Accelerated Math Second Edition Grade 8
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M8A2 - Students will understand
and graph inequalities in one
variable.
GA M8A2.a - Represent a given
Topic 2 - Algebra
Obj. 53 - WP: Use a 2-step linear
situation using an inequality in one
inequality in one variable to represent
variable.
a situation
GA M8A2.b - Use the properties of
Topic 2 - Algebra
Obj. 52 - Solve a 2-step linear
inequality to solve inequalities.
inequality in one variable
Obj. 54 - WP: Solve a problem
involving a 2-step linear inequality in
one variable
GA M8A2.c - Graph the solution of
an inequality on a number line.
GA M8A2.d - Interpret solutions in
problem contexts.
GA M8A3 - Students will understand
relations and linear functions.
GA M8A3.a - Recognize a relation as
a correspondence between varying
quantities.
GA M8A3.b - Recognize a function
as a correspondence between inputs
and outputs where the output for
each input must be unique.
GA M8A3.c - Distinguish between
relations that are functions and those
that are not functions.
GA M8A3.d - Recognize functions in
a variety of representations and a
variety of contexts.
GA M8A3.e - Use tables to describe
sequences recursively and with a
formula in closed form.
GA M8A3.f - Understand and
recognize arithmetic sequences as
linear functions with whole number
input values.
GA M8A3.g - Interpret the constant
difference in an arithmetic sequence
as the slope of the associated linear
function.
GA M8A3.h - Identify relations and
functions as linear or nonlinear.
GA M8A3.i - Translate among verbal, Topic 2 - Algebra
tabular, graphic, and algebraic
representations of functions.
Obj. 40 - WP: Use a 2-variable
equation with rational coefficients to
represent a situation
Obj. 42 - Determine the graph of a
line for a given table of values
Page 70 of 151
041910
Accelerated Math
Grade 8
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 8,
Accelerated Math Second Edition Grade 8
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Obj. 43 - Determine the table of
values that represents a linear
equation with rational coefficients in
two variables
Obj. 44 - Determine a linear equation
in two variables that represents a
table of values
Obj. 45 - Determine the graph of a 2operation linear function
Obj. 50 - WP: Determine a linear
graph that can represent a situation
GA M8A4 - Students will graph and
analyze graphs of linear equations
and inequalities.
GA M8A4.a - Interpret slope as a rate
of change.
GA M8A4.b - Determine the meaning Topic 2 - Algebra
of the slope and y-intercept in a given
situation.
GA M8A4.c - Graph equations of the Topic 2 - Algebra
form y = mx + b.
GA M8A4.d - Graph equations of the
form ax + by = c.
GA M8A4.e - Graph the solution set Topic 2 - Algebra
of a linear inequality, identifying
whether the solution set is an open or
a closed half-plane.
GA M8A4.f - Determine the equation Topic 2 - Algebra
of a line given a graph, numerical
information that defines the line or a
context involving a linear relationship.
GA M8A4.g - Solve problems
involving linear relationships.
GA M8A5 - Students will understand
systems of linear equations and
inequalities and use them to solve
problems.
GA M8A5.a - Given a problem
context, write an appropriate system
of linear equations or inequalities.
Page 71 of 151
Obj. 48 - WP: Interpret the meaning
of the slope of a graphed line
Obj. 49 - WP: Interpret the meaning
of the y-intercept of a graphed line
Obj. 45 - Determine the graph of a 2operation linear function
Obj. 55 - Determine the graph of the
solutions to a 2-step linear inequality
in one variable
Obj. 39 - WP: Use a 1-variable
equation with rational coefficients to
represent a situation involving two
operations
Obj. 40 - WP: Use a 2-variable
equation with rational coefficients to
represent a situation
Obj. 44 - Determine a linear equation
in two variables that represents a
table of values
041910
Accelerated Math
Grade 8
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 8,
Accelerated Math Second Edition Grade 8
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M8A5.b - Solve systems of
equations graphically and
algebraically, using technology as
appropriate.
GA M8A5.c - Graph the solution set
of a system of linear inequalities in
two variables.
GA M8A5.d - Interpret solutions in
problem contexts.
- Students will use and
understand set theory and simple
counting techniques; determine
the theoretical probability of
simple events; and make
inferences from data, particularly
data that can be modeled by linear
functions.
GA M8D1 - Students will apply basic
concepts of set theory.
GA M8D1.a - Demonstrate
Topic 4 - Data Analysis,
Obj. 87 - Use a Venn diagram to
relationships among sets through use Statistics, and Probability
organize summarized data
of Venn diagrams.
GA M8D1.b - Determine subsets,
complements, intersection, and union
of sets.
GA M8D1.c - Use set notation to
denote elements of a set.
GA M8D2 - Students will determine
the number of outcomes related to a
given event.
GA M8D2.a - Use tree diagrams to
find the number of outcomes.
GA M8D2.b - Apply the addition and
multiplication principles of counting.
GA M8D3 - Students will use the
basic laws of probability.
GA M8D3.a - Find the probability of
simple independent events.
Topic 4 - Data Analysis,
Statistics, and Probability
GA M8D3.b - Find the probability of
compound independent events.
GA M8D4 - Students will organize,
interpret, and make inferences from
statistical data.
GA M8D4.a - Gather data that can be
modeled with a linear function.
GA M8D4.b - Estimate and
Topic 4 - Data Analysis,
determine a line of best fit from a
Statistics, and Probability
scatter plot.
Page 72 of 151
Obj. 96 - Determine the probability of
three or more independent events
Obj. 79 - Approximate a trend line for
a scatter plot
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 8,
Accelerated Math Second Edition Grade 8
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
- The following process standards
are essential to mastering each of
the mathematics content
standards. They emphasize critical
dimensions of the mathematical
proficiency that all students need.
Grade 8
GA M8P1 - Students will solve
problems (using appropriate
technology).
GA M8P1.a - Build new mathematical
knowledge through problem solving.
GA M8P1.b - Solve problems that
arise in mathematics and in other
contexts.
Topic 2 - Algebra
Topic 3 - Geometry and
Measurement
Obj. 41 - WP: Solve a problem
involving a 1-variable, 2-step
equation
Obj. 54 - WP: Solve a problem
involving a 2-step linear inequality in
one variable
Obj. 73 - WP: Use the Pythagorean
theorem to find a length or a distance
GA M8P1.c - Apply and adapt a
variety of appropriate strategies to
solve problems.
GA M8P1.d - Monitor and reflect on
the process of mathematical problem
solving.
GA M8P2 - Students will reason and
evaluate mathematical arguments.
GA M8P2.a - Recognize reasoning
and proof as fundamental aspects of
mathematics.
GA M8P2.b - Make and investigate
mathematical conjectures.
GA M8P2.c - Develop and evaluate
mathematical arguments and proofs.
GA M8P2.d - Select and use various
types of reasoning and methods of
proof.
GA M8P3 - Students will
communicate mathematically.
GA M8P3.a - Organize and
consolidate their mathematical
thinking through communication.
GA M8P3.b - Communicate their
mathematical thinking coherently and
clearly to peers, teachers, and others.
Page 73 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 8,
Accelerated Math Second Edition Grade 8
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M8P3.c - Analyze and evaluate
the mathematical thinking and
strategies of others.
GA M8P3.d - Use the language of
mathematics to express
mathematical ideas precisely.
GA M8P4 - Students will make
connections among mathematical
ideas and to other disciplines.
GA M8P4.a - Recognize and use
connections among mathematical
ideas.
GA M8P4.b - Understand how
mathematical ideas interconnect and
build on one another to produce a
coherent whole.
GA M8P4.c - Recognize and apply
mathematics in contexts outside of
mathematics.
GA M8P5 - Students will represent
mathematics in multiple ways.
GA M8P5.a - Create and use
representations to organize, record,
and communicate mathematical
ideas.
GA M8P5.b - Select, apply, and
translate among mathematical
representations to solve problems.
GA M8P5.c - Use representations to
model and interpret physical, social,
and mathematical phenomena.
Grade 8
GA MRC. - Students will enhance
reading in all curriculum areas by:
GA M8RC1.a - Reading in all
curriculum areas
GA M8RC1.a.1 - Read a minimum of
25 grade-level appropriate books per
year from a variety of subject
disciplines and participate in
discussions related to curricular
learning in all areas.
GA M8RC1.a.2 - Read both
informational and fictional texts in a
variety of genres and modes of
discourse.
GA M8RC1.a.3 - Read technical texts
related to various subject areas.
GA M8RC1.b - Discussing books
Page 74 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2004, Grade 8,
Accelerated Math Second Edition Grade 8
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA M8RC1.b.1 - Discuss messages
and themes from books in all subject
areas.
GA M8RC1.b.2 - Respond to a
variety of texts in multiple modes of
discourse.
GA M8RC1.b.3 - Relate messages
and themes from one subject area to
messages and themes in another
area.
GA M8RC1.b.4 - Evaluate the merit
of texts in every subject discipline.
Grade 8
GA M8RC1.b.5 - Examine author's
purpose in writing.
GA M8RC1.b.6 - Recognize the
features of disciplinary texts.
GA M8RC1.c - Building vocabulary
knowledge
GA M8RC1.c.1 - Demonstrate an
understanding of contextual
vocabulary in various subjects.
GA M8RC1.c.2 - Use content
vocabulary in writing and speaking.
GA M8RC1.c.3 - Explore
understanding of new words found in
subject area texts.
GA M8RC1.d - Establishing context
GA M8RC1.d.1 - Explore life
experiences related to subject area
content.
GA M8RC1.d.2 - Discuss in both
writing and speaking how certain
words are subject area related.
GA M8RC1.d.3 - Determine
strategies for finding content and
contextual meaning for unknown
words.
Page 75 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Algebra 1
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA MM1A - Students will explore
functions and solve simple equations.
Students will simplify and operate
with radical, polynomial, and rational
expressions.
GA MM1A1 - Students will explore
and interpret the characteristics of
functions, using graphs, tables, and
simple algebraic techniques.
GA MM1A1.a - Represent functions
using function notation.
GA MM1A1.b - Graph the basic
Topic 11 - Radical Equations and
Functions
functions f(x) = x to the n power,
where n = 1 to 3, f(x) = square root of
x, f(x) = |x|, and f(x) = 1/x.
Topic 13 - Rational Equations
and Functions
GA MM1A1.c - Graph
transformations of basic functions
including vertical shifts, stretches,
and shrinks, as well as reflections
across the x- and y-axes.
GA MM1A1.d - Investigate and
Topic 2 - Relations and
explain the characteristics of a
Functions
function: domain, range, zeros,
intercepts, intervals of increase and
decrease, maximum and minimum
values, and end behavior.
GA MM1A1.e - Relate to a given
context the characteristics of a
function, and use graphs and tables
to investigate its behavior.
GA MM1A1.f - Recognize sequences
as functions with domains that are
whole numbers.
GA MM1A1.g - Explore rates of
change, comparing constant rates of
change (i.e., slope) versus variable
rates of change. Compare rates of
change of linear, quadratic, square
root, and other function families.
Obj. 111 - Determine the graph of a
radical function
Obj. 126 - Determine the graph of a
rational function
Obj. 9 - Determine the domain or
range of a function
GA MM1A1.h - Determine graphically
and algebraically whether a function
has symmetry and whether it is even,
odd, or neither.
Page 76 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Algebra 1
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA MM1A1.i - Understand that any
equation in x can be interpreted as
the equation f(x) = g(x), and interpret
the solutions of the equation as the xvalue(s) of the intersection point(s) of
the graphs of y = f(x) and y = g(x).
GA MM1A2 - Students will simplify
and operate with radical expressions,
polynomials, and rational
expressions.
GA MM1A2.a - Simplify algebraic and Topic 10 - Radical Expressions
numeric expressions involving square
root.
GA MM1A2.b - Perform operations
with square roots.
GA MM1A2.c - Add, subtract,
multiply, and divide polynomials.
Page 77 of 151
Obj. 98 - Simplify a monomial
numerical expression involving the
square root of a whole number
Obj. 104 - Simplify a monomial
algebraic radical expression
Topic 10 - Radical Expressions Obj. 99 - Multiply monomial
numerical expressions involving
radicals
Obj. 100 - Divide monomial
numerical expressions involving
radicals
Obj. 101 - Add and/or subtract
numerical radical expressions
Obj. 102 - Multiply a binomial
numerical radical expression by a
numerical radical expression
Obj. 106 - Add or subtract algebraic
radical expressions
Obj. 107 - Multiply monomial
algebraic radical expressions
Obj. 108 - Divide monomial algebraic
radical expressions
Topic 6 - Polynomial Expressions Obj. 70 - Add polynomial expressions
Obj. 71 - Subtract polynomial
expressions
Obj. 72 - Multiply a polynomial by a
monomial
Obj. 73 - Multiply two binomials of the
form (x +/- a)(x +/- b)
Obj. 74 - Multiply two binomials of the
form (ax +/- b)(cx +/- d)
Obj. 75 - Multiply two binomials of the
form (ax +/- by)(cx +/- dy)
Obj. 76 - Square a binomial
Obj. 77 - Multiply two nonlinear
binomials
Obj. 78 - Multiply a trinomial by a
binomial
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Algebra 1
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Topic 12 - Rational Expressions Obj. 117 - Divide a polynomial
expression by a monomial
Obj. 118 - Divide a polynomial
expression by a binomial
GA MM1A2.d - Expand binomials
using the Binomial Theorem.
GA MM1A2.e - Add, subtract,
Topic 12 - Rational Expressions Obj. 115 - Multiply rational
multiply, and divide rational
expressions
expressions.
Obj. 116 - Divide rational expressions
GA MM1A2.f - Factor expressions by Topic 7 - Factor Algebraic
greatest common factor, grouping,
Expressions
trial and error, and special products
limited to the formulas below. (x + y)²
= x² + 2xy + y²; (x - y)² = x² - 2xy + y²;
(x + y)(x - y) = x² - y²; (x + a)(x + b) =
x² + (a + b)x + ab; (x + y)³ = x³ +3x²y
+ 3xy² + y³; (x - y)³ = x³ -3x²y + 3xy² y³
Obj. 120 - Add or subtract two
rational expressions with like
denominators
Obj. 121 - Add or subtract two
rational expressions with unlike
monomial denominators
Obj. 122 - Add or subtract two
rational expressions with unlike
polynomial denominators
Obj. 79 - Factor the GCF from a
polynomial expression
Obj. 80 - Factor trinomials that result
in factors of the form (x +/- a)(x +/- b)
GA MM1A2.g - Use area and volume
models for polynomial arithmetic.
GA MM1A3 - Students will solve
simple equations.
Page 78 of 151
Obj. 81 - Factor trinomials that result
in factors of the form (ax +/- b)(cx +/d)
Obj. 82 - Factor trinomials that result
in factors of the form (ax +/- by)(cx +/dy)
Obj. 83 - Factor the difference of two
squares
Obj. 84 - Factor a perfect-square
trinomial
Obj. 85 - Factor a polynomial that
has a GCF and two linear binomial
factors
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Algebra 1
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA MM1A3.a - Solve quadratic
Topic 8 - Quadratic Equations
Obj. 91 - Solve a quadratic equation
equations in the form ax² + bx + c = 0 and Functions
by factoring
where a = 1 by using factorization
and finding square roots where
applicable.
Topic 11 - Radical Equations and Obj. 109 - Solve a radical equation
GA MM1A3.b - Solve equations
involving radicals such as square root Functions
that leads to a linear equation
of x + b = c, using algebraic
techniques.
GA MM1A3.c - Use a variety of
Topic 8 - Quadratic Equations
Obj. 88 - Solve a quadratic equation
techniques, including technology,
and Functions
by graphing the associated quadratic
tables and graphs to solve equations
function
resulting from the investigation of x² +
bx + c = 0.
Obj. 124 - Solve a rational equation
GA MM1A3.d - Solve simple rational Topic 13 - Rational Equations
and Functions
involving terms with monomial
equations that result in linear
equations or quadratic equations with
denominators
leading coefficient of 1.
GA MM1G - Students will explore,
understand, and use the formal
language of reasoning and
justification. Students will apply
properties of polygons, and
determine distances and points of
concurrence.
GA MM1G1 - Students will
investigate properties of geometric
figures in the coordinate plane.
GA MM1G1.a - Determine the
distance between two points.
GA MM1G1.b - Determine the
distance between a point and a line.
GA MM1G1.c - Determine the
midpoint of a segment.
GA MM1G1.d - Understand the
distance formula as an application of
the Pythagorean theorem.
GA MM1G1.e - Use the coordinate
plane to investigate properties of and
verify conjectures related to triangles
and quadrilaterals.
GA MM1G2 - Students will
understand and use the language of
mathematical argument and
justification.
GA MM1G2.a - Use conjecture,
inductive reasoning, deductive
reasoning, counterexamples, and
indirect proof as appropriate.
Page 79 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Algebra 1
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA MM1G2.b - Understand and use
the relationships among a statement
and its converse, inverse, and
contrapositive.
GA MM1G3 - Students will discover,
prove, and apply properties of
triangles, quadrilaterals, and other
polygons.
GA MM1G3.a - Determine the sum of
interior and exterior angles in a
polygon.
GA MM1G3.b - Understand and use
the triangle inequality, the side-angle
inequality, and the exterior-angle
inequality.
GA MM1G3.c - Understand and use
congruence postulates and theorems
for triangles (SSS, SAS, ASA, AAS,
HL).
GA MM1G3.d - Understand, use, and
prove properties of and relationships
among special quadrilaterals:
parallelogram, rectangle, rhombus,
square, trapezoid, and kite.
GA MM1G3.e - Find and use points
of concurrency in triangles: incenter,
orthocenter, circumcenter, and
centroid.
GA MM1D - Students will use
counting techniques and determine
probability. Students will demonstrate
understanding of data analysis by
posing questions to be answered by
collecting data. Students will
organize, represent, investigate,
interpret, and make inferences from
data.
GA MM1D1 - Students will determine
the number of outcomes related to a
given event.
GA MM1D1.a - Apply the addition
and multiplication principles of
counting.
GA MM1D1.b - Calculate and use
simple permutations and
combinations.
GA MM1D2 - Students will use the
basic laws of probability.
Page 80 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Algebra 1
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA MM1D2.a - Find the probabilities
of mutually exclusive events.
GA MM1D2.b - Find the probabilities
of dependent events.
GA MM1D2.c - Calculate conditional
probabilities.
GA MM1D2.d - Use expected value
to predict outcomes.
GA MM1D3 - Students will relate
samples to a population.
GA MM1D3.a - Compare summary
statistics (mean, median, quartiles,
and interquartile range) from one
sample data distribution to another
sample data distribution in describing
center and variability of the data
distributions.
GA MM1D3.b - Compare the
averages of the summary statistics
from a large number of samples to
the corresponding population
parameters.
GA MM1D3.c - Understand that a
random sample is used to improve
the chance of selecting a
representative sample.
GA MM1D4 - Students will explore
variability of data by determining the
mean absolute deviation (the average
of the absolute values of the
deviations).
GA MM1P - The following process
standards are essential to mastering
each of the mathematics content
standards. They emphasize critical
dimensions of the mathematical
proficiency that all students need.
GA MM1P1 - Students will solve
problems (using appropriate
technology).
GA MM1P1.a - Build new
mathematical knowledge through
problem solving.
GA MM1P1.b - Solve problems that
arise in mathematics and in other
contexts.
GA MM1P1.c - Apply and adapt a
variety of appropriate strategies to
solve problems.
Page 81 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Algebra 1
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA MM1P1.d - Monitor and reflect on
the process of mathematical problem
solving.
GA MM1P2 - Students will reason
and evaluate mathematical
arguments.
GA MM1P2.a - Recognize reasoning
and proof as fundamental aspects of
mathematics.
GA MM1P2.b - Make and investigate
mathematical conjectures.
GA MM1P2.c - Develop and evaluate
mathematical arguments and proofs.
GA MM1P2.d - Select and use
various types of reasoning and
methods of proof.
GA MM1P3 - Students will
communicate mathematically.
GA MM1P3.a - Organize and
consolidate their mathematical
thinking through communication.
GA MM1P3.b - Communicate their
mathematical thinking coherently and
clearly to peers, teachers, and others.
GA MM1P3.c - Analyze and evaluate
the mathematical thinking and
strategies of others.
GA MM1P3.d - Use the language of
mathematics to express
mathematical ideas precisely.
GA MM1P4 - Students will make
connections among mathematical
ideas and to other disciplines.
GA MM1P4.a - Recognize and use
connections among mathematical
ideas.
GA MM1P4.b - Understand how
mathematical ideas interconnect and
build on one another to produce a
coherent whole.
GA MM1P4.c - Recognize and apply
mathematics in contexts outside of
mathematics.
GA MMIP5 - Students will represent
mathematics in multiple ways.
Page 82 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Algebra 1
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA MMIP5.a - Create and use
representations to organize, record,
and communicate mathematical
ideas.
GA MMIP5.b - Select, apply, and
translate among mathematical
representations to solve problems.
GA MMIP5.c - Use representations
to model and interpret physical,
social, and mathematical
phenomena.
GA MRC - Students will enhance
reading in all curriculum areas by:
GA MRC.a - Reading in all curriculum
areas
GA MRC.a.1 - Read a minimum of 25
grade-level appropriate books per
year from a variety of subject
disciplines and participate in
discussions related to curricular
learning in all areas
GA MRC.a.2 - Read both
informational and fictional texts in a
variety of genres and modes of
discourse
GA MRC.a.3 - Read technical texts
related to various subject areas
GA MRC.b - Discussing books
GA MRC.b.1 - Discuss messages
and themes from books in all subject
areas.
GA MRC.b.2 - Respond to a variety
of texts in multiple modes of
discourse.
GA MRC.b.3 - Relate messages and
themes from one subject area to
messages and themes in another
area.
GA MRC.b.4 - Evaluate the merit of
texts in every subject discipline.
GA MRC.b.5 - Examine author's
purpose in writing.
GA MRC.b.6 - Recognize the
features of disciplinary texts.
GA MRC.c - Building vocabulary
knowledge
GA MRC.c.1 - Demonstrate an
understanding of contextual
vocabulary in various subjects.
Page 83 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Algebra 1
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA MRC.c.2 - Use content
vocabulary in writing and speaking.
GA MRC.c.3 - Explore understanding
of new words found in subject area
texts.
GA MRC.d - Establishing context
GA MRC.d.1 - Explore life
experiences related to subject area
content.
GA MRC.d.2 - Discuss in both writing
and speaking how certain words are
subject area related.
GA MRC.d.3 - Determine strategies
for finding content and contextual
meaning for unknown words.
Page 84 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Second Edition Algebra 1
Mathematics 1, Performance
Standards, State Department of
Education
Standard
Topic Description
Objective Description
GA MA1N - Students will use the
complex number system.
GA MA1N1 - Students will represent
and operate with complex numbers.
GA MA1N1.a - Write square roots of
negative numbers in imaginary form.
GA MA1N1.b - Write complex
numbers in the form a + bi.
GA MA1N1.c - Add, subtract,
multiply, and divide complex
numbers.
GA MA1N1.d - Simplify expressions
involving complex numbers.
GA MA1A - Students will explore
functions, solve equations and
operate with radical, polynomial and
rational expressions.
GA MA1A1 - Students will explore
and interpret the characteristics of
functions, using graphs, tables, and
simple algebraic techniques.
GA MA1A1.a - Represent functions
using function notation.
GA MA1A1.b - Graph the basic
Topic 11 - Radical Equations and
functions f(x) = x to the power n,
Functions
where n = 1 to 3, f(x) = square root of
x, f(x) = |x|, and f(x) = 1/x.
Topic 13 - Rational Equations
and Functions
GA MA1A1.c - Graph
transformations of basic functions
including vertical shifts, stretches,
and shrinks, as well as reflections
across the x- and y-axes.
GA MA1A1.d - Investigate and
Topic 2 - Relations and
explain the characteristics of a
Functions
function: domain, range, zeros,
intercepts, intervals of increase and
decrease, maximum and minimum
values, and end behavior.
GA MA1A1.e - Relate to a given
context the characteristics of a
function, and use graphs and tables
to investigate its behavior.
GA MA1A1.f - Recognize sequences
as functions with domains that are
sets of whole numbers.
Page 85 of 151
Obj. 111 - Determine the graph of a
radical function
Obj. 126 - Determine the graph of a
rational function
Obj. 9 - Determine the domain or
range of a function
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Second Edition Algebra 1
Mathematics 1, Performance
Standards, State Department of
Education
Standard
Topic Description
Objective Description
GA MA1A1.g - Explore rates of
change, comparing constant rates of
change (i.e., slope) versus variable
rates of change. Compare rates of
change of linear, quadratic, square
root, and other function families.
GA MA1A1.h - Determine graphically
and algebraically whether a function
has symmetry and whether it is even,
odd, or neither.
GA MA1A1.i - Understand that any
equation in x can be interpreted as
the equation f(x) = g(x), and interpret
the solutions of the equation as the xvalue(s) of the intersection point(s) of
the graphs of y = f(x) and y = g(x).
Topic 10 - Radical Expressions
GA MA1A2 - Students will simplify
and operate with radical expressions,
polynomials, and rational
expressions.
GA MA1A2.a - Simplify algebraic and Topic 10 - Radical Expressions
numeric expressions involving square
root.
GA MA1A2.b - Perform operations
with square roots.
GA MA1A2.c - Add, subtract,
multiply, and divide polynomials.
Page 86 of 151
Obj. 105 - Rationalize the
denominator of an algebraic radical
expression
Obj. 98 - Simplify a monomial
numerical expression involving the
square root of a whole number
Obj. 103 - Rationalize the
denominator of a numerical radical
expression
Obj. 104 - Simplify a monomial
algebraic radical expression
Topic 10 - Radical Expressions Obj. 99 - Multiply monomial
numerical expressions involving
radicals
Obj. 100 - Divide monomial
numerical expressions involving
radicals
Obj. 101 - Add and/or subtract
numerical radical expressions
Obj. 102 - Multiply a binomial
numerical radical expression by a
numerical radical expression
Obj. 106 - Add or subtract algebraic
radical expressions
Obj. 107 - Multiply monomial
algebraic radical expressions
Obj. 108 - Divide monomial algebraic
radical expressions
Topic 6 - Polynomial Expressions Obj. 70 - Add polynomial expressions
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Second Edition Algebra 1
Mathematics 1, Performance
Standards, State Department of
Education
Standard
Topic Description
Objective Description
Obj. 71 - Subtract polynomial
expressions
Obj. 72 - Multiply a polynomial by a
monomial
Obj. 73 - Multiply two binomials of the
form (x +/- a)(x +/- b)
Obj. 74 - Multiply two binomials of the
form (ax +/- b)(cx +/- d)
Obj. 75 - Multiply two binomials of the
form (ax +/- by)(cx +/- dy)
Obj. 76 - Square a binomial
Obj. 77 - Multiply two nonlinear
binomials
Obj. 78 - Multiply a trinomial by a
binomial
Topic 12 - Rational Expressions Obj. 117 - Divide a polynomial
expression by a monomial
Obj. 118 - Divide a polynomial
expression by a binomial
GA MA1A2.d - Add, subtract,
Topic 12 - Rational Expressions Obj. 115 - Multiply rational
multiply, and divide rational
expressions
expressions.
Obj. 116 - Divide rational expressions
GA MA1A2.e - Factor expressions by Topic 7 - Factor Algebraic
greatest common factor, grouping,
Expressions
trial and error, and special products
limited to the formulas below. (x + y)²
= x² + 2xy + y²; (x - y)² = x² - 2xy + y²;
(x + y)(x - y) = x² - y²; (x + a)(x + b) =
x² + (a + b)x + ab; (x + y)³ = x³ + 3x²y
+ 3xy² + y³; (x - y)³ = x³ - 3x²y + 3xy² y³
Obj. 120 - Add or subtract two
rational expressions with like
denominators
Obj. 121 - Add or subtract two
rational expressions with unlike
monomial denominators
Obj. 122 - Add or subtract two
rational expressions with unlike
polynomial denominators
Obj. 79 - Factor the GCF from a
polynomial expression
Obj. 80 - Factor trinomials that result
in factors of the form (x +/- a)(x +/- b)
Obj. 81 - Factor trinomials that result
in factors of the form (ax +/- b)(cx +/d)
Page 87 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Second Edition Algebra 1
Mathematics 1, Performance
Standards, State Department of
Education
Standard
Topic Description
Objective Description
Obj. 82 - Factor trinomials that result
in factors of the form (ax +/- by)(cx +/dy)
Obj. 83 - Factor the difference of two
squares
Obj. 84 - Factor a perfect-square
trinomial
Obj. 85 - Factor a polynomial that
has a GCF and two linear binomial
factors
GA MA1A2.f - Use area and volume
models for polynomial arithmetic.
GA MA1A3 - Students will analyze
quadratic functions in the forms f(x) =
ax² + bx + c and f(x) = a(x - h)² + k.
GA MA1A3.a - Convert between
standard and vertex form.
GA MA1A3.b - Graph quadratic
functions as transformations of the
function f(x) = x².
GA MA1A3.c - Investigate and
explain characteristics of quadratic
functions, including domain, range,
vertex, axis of symmetry, zeros,
intercepts, extrema, intervals of
increase and decrease, and rates of
change.
GA MA1A3.d - Explore arithmetic
series and various ways of computing
their sums.
GA MA1A3.e - Explore sequences of
partial sums of arithmetic series as
examples of quadratic functions.
GA MA1A4 - Students will solve
quadratic equations and inequalities
in one variable.
GA MA1A4.a - Solve equations
graphically using appropriate
technology.
GA MA1A4.b - Find real and complex Topic 8 - Quadratic Equations
solutions of equations by factoring,
and Functions
taking square roots, and applying the
quadratic formula.
Page 88 of 151
Obj. 89 - Solve a quadratic equation
by taking the square root
Obj. 91 - Solve a quadratic equation
by factoring
Obj. 92 - Solve a quadratic equation
using the quadratic formula
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Second Edition Algebra 1
Mathematics 1, Performance
Standards, State Department of
Education
Standard
Topic Description
Objective Description
GA MA1A4.c - Analyze the nature of
roots using technology and using the
discriminant.
GA MA1A4.d - Solve quadratic
inequalities both graphically and
algebraically, and describe the
solutions using linear inequalities.
GA MA1A5 - Students will investigate
step and piecewise functions,
including greatest integer and
absolute value functions.
GA MA1A5.a - Write absolute value
functions as piecewise functions.
GA MA1A5.b - Investigate and
explain characteristics of a variety of
piecewise functions including domain,
range, vertex, axis of symmetry,
zeros, intercepts, extrema, points of
discontinuity, intervals over which the
function is constant, intervals of
increase and decrease, and rates of
change.
GA MA1A5.c - Solve absolute value Topic 3 - Linear Equations and
equations and inequalities
Inequalities
analytically, graphically, and by using
appropriate technology.
GA MA1G - Students will explore,
understand and use the formal
language of reasoning and
justification. Students will apply
properties of polygons, circles and
spheres, and determine distances
and points of concurrence.
GA MA1G1 - Students will investigate
properties of geometric figures in the
coordinate plane.
GA MA1G1.a - Determine the
distance between two points.
GA MA1G1.b - Determine the
distance between a point and a line.
GA MA1G1.c - Determine the
midpoint of a segment.
Page 89 of 151
Obj. 20 - Solve a 1-variable absolute
value equation
Obj. 37 - Determine the graph of a 2variable absolute value equation
Obj. 43 - Solve a 1-variable absolute
value inequality
Obj. 44 - Determine the graph of a 1variable absolute value inequality
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Second Edition Algebra 1
Mathematics 1, Performance
Standards, State Department of
Education
Standard
Topic Description
Objective Description
GA MA1G1.d - Understand the
distance formula as an application of
the Pythagorean theorem.
GA MA1G1.e - Use the coordinate
plane to investigate properties of and
verify conjectures related to triangles
and quadrilaterals.
GA MA1G2 - Students will
understand and use the language of
mathematical argument and
justification.
GA MA1G2.a - Use conjecture,
inductive reasoning, deductive
reasoning, counterexamples, and
indirect proof as appropriate.
GA MA1G2.b - Understand and use
the relationships among a statement
and its converse, inverse, and
contrapositive.
GA MA1G3 - Students will discover,
prove, and apply properties of
triangles, quadrilaterals, and other
polygons.
GA MA1G3.a - Determine the sum of
interior and exterior angles in a
polygon.
GA MA1G3.b - Understand and use
the triangle inequality, the side-angle
inequality, and the exterior-angle
inequality.
GA MA1G3.c - Understand and use
congruence postulates and theorems
for triangles (SSS, SAS, ASA, AAS,
HL).
GA MA1G3.d - Understand, use, and
prove properties of and relationships
among special quadrilaterals:
parallelogram, rectangle, rhombus,
square, trapezoid, and kite.
GA MA1G3.e - Find and use points
of concurrency in triangles: incenter,
orthocenter, circumcenter, and
centroid.
GA MA1G4 - Students will
understand the properties of circles.
GA MA1G4.a - Understand and use
properties of chords, tangents, and
secants as an application of triangle
similarity.
Page 90 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Second Edition Algebra 1
Mathematics 1, Performance
Standards, State Department of
Education
Standard
Topic Description
Objective Description
GA MA1G4.b - Understand and use
properties of central, inscribed, and
related angles.
GA MA1G4.c - Use the properties of
circles to solve problems involving
the length of an arc and the area of a
sector.
GA MA1G4.d - Justify measurements
and relationships in circles using
geometric and algebraic properties.
GA MA1G5 - Students will find and
compare the measures of spheres.
GA MA1G5.a - Use and apply
surface area and volume of a sphere.
GA MA1G5.b - Determine the effect
on surface area and volume of
changing the radius or diameter of a
sphere.
GA MA1D - Students will use
counting techniques and determine
probability. Students will demonstrate
understanding of data analysis by
posing questions to be answered by
collecting data. Students will
organize, represent, investigate,
interpret, and make inferences from
data. Students will determine
algebraic models from data.
GA MA1D1 - Students will determine
the number of outcomes related to a
given event.
GA MA1D1.a - Apply the addition and
multiplication principles of counting.
GA MA1D1.b - Calculate and use
simple permutations and
combinations.
GA MA1D2 - Students will use the
basic laws of probability.
GA MA1D2.a - Find the probabilities
of mutually exclusive events.
GA MA1D2.b - Find the probabilities
of dependent events.
GA MA1D2.c - Calculate conditional
probabilities.
GA MA1D2.d - Use expected value
to predict outcomes.
Page 91 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Second Edition Algebra 1
Mathematics 1, Performance
Standards, State Department of
Education
Standard
Topic Description
Objective Description
GA MA1D3 - Students will relate
samples to a population.
GA MA1D3.a - Compare summary
statistics (mean, median, quartiles,
and interquartile range) from one
sample data distribution to another
sample data distribution in describing
center and variability of the data
distributions.
GA MA1D3.b - Compare the
averages of the summary statistics
from a large number of samples to
the corresponding population
parameters.
GA MA1D3.c - Understand that a
random sample is used to improve
the chance of selecting a
representative sample.
GA MA1D4 - Students will explore
variability of data by determining the
mean absolute deviation (the average
of the absolute values of the
deviations).
GA MA1D5 - Students will determine
an algebraic model to quantify the
association between two quantitative
variables.
GA MA1D5.a - Gather and plot data
that can be modeled with linear and
quadratic functions.
GA MA1D5.b - Examine the issues of
curve fitting by finding good linear fits
to data using simple methods such
as the median-median line and
"eyeballing."
GA MA1D5.c - Understand and apply
the processes of linear and quadratic
regression for curve fitting using
appropriate technology.
GA MA1P - The following process
standards are essential to mastering
each of the mathematics content
standards. They emphasize critical
dimensions of the mathematical
proficiency that all students need.
GA MA1P1 - Students will solve
problems (using appropriate
technology).
Page 92 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Second Edition Algebra 1
Mathematics 1, Performance
Standards, State Department of
Education
Standard
Topic Description
Objective Description
GA MA1P1.a - Build new
mathematical knowledge through
problem solving.
GA MA1P1.b - Solve problems that
arise in mathematics and in other
contexts.
GA MA1P1.c - Apply and adapt a
variety of appropriate strategies to
solve problems.
GA MA1P1.d - Monitor and reflect on
the process of mathematical problem
solving.
GA MA1P2 - Students will reason
and evaluate mathematical
arguments.
GA MA1P2.a - Recognize reasoning
and proof as fundamental aspects of
mathematics.
GA MA1P2.b - Make and investigate
mathematical conjectures.
GA MA1P2.c - Develop and evaluate
mathematical arguments and proofs.
GA MA1P2.d - Select and use
various types of reasoning and
methods of proof.
GA MA1P3 - Students will
communicate mathematically.
GA MA1P3.a - Organize and
consolidate their mathematical
thinking through communication.
GA MA1P3.b - Communicate their
mathematical thinking coherently and
clearly to peers, teachers, and others.
GA MA1P3.c - Analyze and evaluate
the mathematical thinking and
strategies of others.
GA MA1P3.d - Use the language of
mathematics to express
mathematical ideas precisely.
GA MA1P4 - Students will make
connections among mathematical
ideas and to other disciplines.
GA MA1P4.a - Recognize and use
connections among mathematical
ideas.
Page 93 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Second Edition Algebra 1
Mathematics 1, Performance
Standards, State Department of
Education
Standard
Topic Description
Objective Description
GA MA1P4.b - Understand how
mathematical ideas interconnect and
build on one another to produce a
coherent whole.
GA MA1P4.c - Recognize and apply
mathematics in contexts outside of
mathematics.
GA MA1P5 - Students will represent
mathematics in multiple ways.
GA MA1P5.a - Create and use
representations to organize, record,
and communicate mathematical
ideas.
GA MA1P5.b - Select, apply, and
translate among mathematical
representations to solve problems.
GA MA1P5.c - Use representations
to model and interpret physical,
social, and mathematical
phenomena.
GA MRC - Students will enhance
reading in all curriculum areas by:
GA MRC.a - Reading in all curriculum
areas
GA MRC.a.1 - Read a minimum of 25
grade-level appropriate books per
year from a variety of subject
disciplines and participate in
discussions related to curricular
learning in all areas
GA MRC.a.2 - Read both
informational and fictional texts in a
variety of genres and modes of
discourse
GA MRC.a.3 - Read technical texts
related to various subject areas
GA MRC.b - Discussing books
GA MRC.b.1 - Discuss messages
and themes from books in all subject
areas.
GA MRC.b.2 - Respond to a variety
of texts in multiple modes of
discourse.
GA MRC.b.3 - Relate messages and
themes from one subject area to
messages and themes in another
area.
GA MRC.b.4 - Evaluate the merit of
texts in every subject discipline.
Page 94 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Second Edition Algebra 1
Mathematics 1, Performance
Standards, State Department of
Education
Standard
Topic Description
Objective Description
GA MRC.b.5 - Examine author's
purpose in writing.
GA MRC.b.6 - Recognize the
features of disciplinary texts.
GA MRC.c - Building vocabulary
knowledge
GA MRC.c.1 - Demonstrate an
understanding of contextual
vocabulary in various subjects.
GA MRC.c.2 - Use content
vocabulary in writing and speaking.
GA MRC.c.3 - Explore understanding
of new words found in subject area
texts.
GA MRC.d - Establishing context
GA MRC.d.1 - Explore life
experiences related to subject area
content.
GA MRC.d.2 - Discuss in both writing
and speaking how certain words are
subject area related.
GA MRC.d.3 - Determine strategies
for finding content and contextual
meaning for unknown words.
Page 95 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics III: Accelerated Math Algebra 2
Advanced Algebra/Statistics,
Performance Standards, State
Department of Education
Standard
Topic Description
GA MM3A - Students will investigate
exponential, logarithmic and
polynomial functions of degree higher
than 2. Students will understand
matrices and use them to solve
problems.
GA MM3A1 - Students will analyze
graphs of polynomial functions of
higher degree.
GA MM3A1.a - Graph simple
polynomial functions as translations
of the function f(x) = ax to the n
power.
GA MM3A1.b - Understand the
Topic 6 - Roots, Radicals, and
effects of the following on the graph Complex Numbers
of a polynomial function: degree, lead
coefficient, and multiplicity of real
zeros.
Topic 8 - Polynomials
GA MM3A1.c - Determine whether a
polynomial function has symmetry
and whether it is even, odd, or
neither.
GA MM3A1.d - Investigate and
explain characteristics of polynomial
functions, including domain and
range, intercepts, zeros, relative and
absolute extrema, intervals of
increase and decrease, and end
behavior.
GA MM3A2 - Students will explore
logarithmic functions as inverses of
exponential functions.
GA MM3A2.a - Define and
Topic 6 - Roots, Radicals, and
understand the properties of nth
Complex Numbers
roots.
GA MM3A2.b - Extend properties of
exponents to include rational
exponents.
GA MM3A2.c - Define logarithmic
functions as inverses of exponential
functions.
Page 96 of 151
Grades 9 - 12
Objective Description
Obj. 78 - Graph square roots
Obj. 127 - Graph polynomial
functions
Obj. 69 - Write square roots as
exponential expressions
Topic 6 - Roots, Radicals, and
Complex Numbers
Obj. 71 - Simplify nth roots
Obj. 74 - Add and subtract radical
expressions
Obj. 73 - Simplify expressions with
rational exponents
Topic 9 - Exponents and
Logarithms
Obj. 129 - Exponential equations to
logarithmic form
Obj. 130 - Logarithmic equations to
exponential form
Obj. 131 - Find logarithms by
converting to exponential form
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics III: Accelerated Math Algebra 2
Advanced Algebra/Statistics,
Performance Standards, State
Department of Education
Standard
Topic Description
GA MM3A2.d - Understand and use Topic 9 - Exponents and
properties of logarithms by extending Logarithms
laws of exponents.
GA MM3A2.e - Investigate and
explain characteristics of exponential
and logarithmic functions including
domain and range, asymptotes,
zeros, intercepts, intervals of
increase and decrease, and rate of
change.
GA MM3A2.f - Graph functions as
transformations of f(x) = a to the x
power, f(x) = log of a(x), f(x) = e to
the x power, f(x) = ln x.
GA MM3A2.g - Explore real
phenomena related to exponential
and logarithmic functions including
half-life and doubling time.
Grades 9 - 12
Objective Description
Obj. 133 - Properties of logarithms,
simplify expressions
Obj. 134 - Properties of logs, find
equivalent logs
Obj. 135 - Solve logarithmic
equations
Topic 9 - Exponents and
Logarithms
Obj. 141 - Graph exponential
functions
Topic 9 - Exponents and
Logarithms
Obj. 138 - WP: Interest problems
Obj. 139 - WP: Growth and decay
problems
Obj. 140 - WP: Earthquake problems
GA MM3A3 - Students will solve a
variety of equations and inequalities.
GA MM3A3.a - Find real and
Topic 8 - Polynomials
complex roots of higher degree
polynomial equations using the factor
theorem, remainder theorem, rational
root theorem, and fundamental
theorem of algebra, incorporating
complex and radical conjugates.
GA MM3A3.b - Solve polynomial,
exponential and logarithmic
equations analytically, graphically,
and using appropriate technology.
Page 97 of 151
Topic 9 - Exponents and
Logarithms
Obj. 122 - Factor trinomials, ax(x +
b)(x - c)
Obj. 124 - Factor sum or difference
of 2 cubes
Obj. 125 - Factor polynomials into
binomials and trinomials
Obj. 126 - Factor 4-term expressions
by grouping
Obj. 136 - Solve exponential
equations
Obj. 137 - Solve equations involving
natural logarithms
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics III: Accelerated Math Algebra 2
Advanced Algebra/Statistics,
Performance Standards, State
Department of Education
Standard
Topic Description
GA MM3A3.c - Solve polynomial,
exponential and logarithmic
inequalities analytically, graphically,
and using appropriate technology.
Represent solution sets of
inequalities using interval notation.
GA MM3A3.d - Solve a variety of
types of equations by appropriate
means choosing among mental
calculation, pencil and paper, or
appropriate technology.
GA MM3A4 - Students will perform
basic operations with matrices.
GA MM3A4.a - Add, subtract,
multiply and invert matrices, when
possible, choosing appropriate
methods, including technology.
Topic 5 - Matrices and
Determinants
Topic 5 - Matrices and
Determinants
GA MM3A5.a - Represent a system
of linear equations as a matrix
equation.
GA MM3A5.b - Solve matrix
equations using inverse matrices.
GA MM3A5.c - Represent and solve
realistic problems using systems of
linear equations.
GA MM3A6 - Students will solve
Topic 4 - Systems of Equations
linear programming problems in two and Inequalities
variables.
GA MM3A6.a - Solve systems of
inequalities in two variables, showing
the solutions graphically.
Page 98 of 151
Objective Description
Obj. 59 - Matrices, sums and
differences (3 x 3)
Obj. 60 - Matrices, products (3 x 3)
GA MM3A4.b - Find the inverses of
two-by-two matrices using pencil and
paper, and find inverses of larger
matrices using technology.
GA MM3A4.c - Examine the
Topic 5 - Matrices and
properties of matrices, contrasting
Determinants
them with properties of real numbers.
GA MM3A5 - Students will use
matrices to formulate and solve
problems.
Grades 9 - 12
Obj. 63 - Matrices, inverses
Obj. 64 - Cramer's Rule, solve
systems of 2 equations
Obj. 65 - Cramer's Rule, solve
systems of 3 equations
Obj. 66 - Matrices, solve systems of
equations
Obj. 67 - WP: Matrices
Obj. 57 - Solve linear programming
problems
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics III: Accelerated Math Algebra 2
Advanced Algebra/Statistics,
Performance Standards, State
Department of Education
Standard
Topic Description
GA MM3A6.b - Represent and solve
realistic problems using linear
programming.
GA MM3A7 - Students will
understand and apply matrix
representations of vertex-edge
graphs.
GA MM3A7.a - Use graphs to
represent realistic situations.
GA MM3A7.b - Use matrices to
represent graphs, and solve
problems that can be represented by
graphs.
GA MM3G - Students will understand
and use analytic geometry of conic
sections and of planes and spheres
in space.
GA MM3G1 - Students will
Topic 11 - Conics and Secondinvestigate the relationships between Degree Equations
lines and circles.
GA MM3G1.a - Find equations of
Topic 11 - Conics and Secondcircles.
Degree Equations
GA MM3G1.b - Graph a circle given Topic 11 - Conics and Secondan equation in general form.
Degree Equations
GA MM3G1.c - Find the equation of a
tangent line to a circle at given point.
GA MM3G1.d - Solve a system of
equations involving a circle and a
line.
GA MM3G1.e - Solve a system of
equations involving two circles.
GA MM3G2 - Students will recognize,
analyze, and graph the equations of
the conic sections (parabolas, circles,
ellipses, and hyperbolas).
Grades 9 - 12
Objective Description
Obj. 158 - Graph circles
Obj. 160 - Circles, write equations
given centers and radii
Obj. 161 - Circles, write equations
using given facts
Obj. 159 - Circles, general form
equations
Topic 11 - Conics and SecondDegree Equations
Obj. 175 - Solve systems of linear
and 2nd-degree equations
Topic 11 - Conics and SecondDegree Equations
Obj. 174 - Identify equations of
conics
Topic 11 - Conics and SecondDegree Equations
Obj. 163 - Graph ellipses
GA MM3G2.a - Convert equations of
conics by completing the square.
GA MM3G2.b - Graph conic
sections, identifying fundamental
characteristics.
Page 99 of 151
Obj. 166 - Graph hyperbolas
(standard equation)
Obj. 167 - Graph hyperbolas (general
equation)
Obj. 169 - Hyperbolas, graph
inequalities
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics III: Accelerated Math Algebra 2
Advanced Algebra/Statistics,
Performance Standards, State
Department of Education
Standard
Topic Description
Grades 9 - 12
Objective Description
Obj. 171 - Graph parabolas (y = x^2)
Obj. 172 - Graph parabolas (x = y^2)
GA MM3G2.c - Write equations of
Topic 11 - Conics and Secondconic sections given appropriate
Degree Equations
information.
GA MM3G3 - Students will
investigate planes and spheres.
GA MM3G3.a - Plot the point (x, y, z)
and understand it as a vertex of a
rectangular prism.
GA MM3G3.b - Apply the distance
formula in 3-space.
GA MM3G3.c - Recognize and
understand equations of planes and
spheres.
GA MM3D - Students will use a
normal distribution to calculate
probabilities. They will organize,
represent, investigate, interpret, and
make inferences using data from
both observational studies and
experiments.
GA MM3D1 - Students will create
probability histograms of discrete
random variables, using both
experimental and theoretical
probabilities.
GA MM3D2 - Students will solve
Topic 14 - Statistics
problems involving probabilities by
interpreting a normal distribution as a
probability histogram for a continuous
random variable (z-scores are used
for a general normal distribution).
GA MM3D2.a - Determine intervals
about the mean that include a given
percent of data.
GA MM3D2.b - Determine the
probability that a given value falls
within a specified interval.
GA MM3D2.c - Estimate how many
items in a population fall within a
specified interval.
Page 100 of 151
Obj. 165 - Ellipses, write equations
using given facts
Obj. 218 - Normal curves
Topic 14 - Statistics
Obj. 217 - Calculate z-scores
Topic 14 - Statistics
Obj. 216 - Mean and standard
deviation
Obj. 217 - Calculate z-scores
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics III: Accelerated Math Algebra 2
Advanced Algebra/Statistics,
Performance Standards, State
Department of Education
Standard
Topic Description
GA MM3D3 - Students will
understand the differences between
experimental and observational
studies by posing questions and
collecting, analyzing, and interpreting
data.
GA MM3P - The following process
standards are essential to mastering
each of the mathematics content
standards. They emphasize critical
dimensions of the mathematical
proficiency that all students need.
GA MM3P1 - Students will solve
problems (using appropriate
technology).
GA MM3P1.a - Build new
mathematical knowledge through
problem solving.
GA MM3P1.b - Solve problems that
arise in mathematics and in other
contexts.
Objective Description
Topic 2 - Linear Equations and
Inequalities
Obj. 12 - WP: Solve linear equations
Topic 3 - Relations, Functions,
and Graphs
Obj. 37 - WP: Function problems
Topic 4 - Systems of Equations
and Inequalities
Topic 5 - Matrices and
Determinants
Topic 7 - Quadratic
Topic 8 - Polynomials
Topic 9 - Exponents and
Logarithms
Page 101 of 151
Grades 9 - 12
Obj. 40 - WP: Linear equations
Obj. 51 - WP: Solve systems,
number problems
Obj. 52 - WP: Solve systems, motion
and distance problems
Obj. 53 - WP: Solve systems, age
problems
Obj. 54 - WP: Solve systems, coin
problems
Obj. 55 - WP: Solve systems,
mixture and investment problems
Obj. 57 - Solve linear programming
problems
Obj. 67 - WP: Matrices
Obj. 97 - WP: Graph quadratic
functions
Obj. 99 - WP: Variation problems
Obj. 103 - WP: Other problems using
quadratic equations
Obj. 128 - WP: Polynomials
Obj. 138 - WP: Interest problems
Obj. 139 - WP: Growth and decay
problems
Obj. 140 - WP: Earthquake problems
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics III: Accelerated Math Algebra 2
Advanced Algebra/Statistics,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Topic 11 - Conics and Second- Obj. 177 - WP: Systems of equations
Degree Equations
Topic 12 - Sequences and Series Obj. 184 - WP: Arithmetic sequences
Topic 13 - Probability
Topic 14 - Statistics
Topic 15 - Trigonometry
GA MM3P1.c - Apply and adapt a
variety of appropriate strategies to
solve problems.
GA MM3P1.d - Monitor and reflect on
the process of mathematical problem
solving.
GA MM3P2 - Students will reason
and evaluate mathematical
arguments.
GA MM3P2.a - Recognize reasoning
and proof as fundamental aspects of
mathematics.
Obj. 190 - WP: Geometric
sequences
Obj. 195 - WP: Geometric series
Obj. 196 - Fundamental Counting
Principle
Obj. 200 - Combinations
Obj. 202 - Probability of single events
Obj. 203 - Probability using Pascal's
triangle
Obj. 204 - Probability of independent
events
Obj. 205 - Conditional probability
Obj. 206 - Probability of dependent
events
Obj. 207 - Compare odds and
probability
Obj. 218 - Normal curves
Obj. 231 - WP: Law of Sines and
Law of Cosines
Obj. 235 - Find unknown sides of
right triangles
Obj. 236 - WP: Trigonometry
GA MM3P2.b - Make and investigate
mathematical conjectures.
GA MM3P2.c - Develop and evaluate
mathematical arguments and proofs.
GA MM3P2.d - Select and use
various types of reasoning and
methods of proof.
GA MM3P3 - Students will
communicate mathematically.
Page 102 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics III: Accelerated Math Algebra 2
Advanced Algebra/Statistics,
Performance Standards, State
Department of Education
Standard
Topic Description
GA MM3P3.a - Organize and
consolidate their mathematical
thinking through communication.
GA MM3P3.b - Communicate their
mathematical thinking coherently and
clearly to peers, teachers, and others.
GA MM3P3.c - Analyze and evaluate
the mathematical thinking and
strategies of others.
GA MM3P3.d - Use the language of
mathematics to express
mathematical ideas precisely.
GA MM3P4 - Students will make
connections among mathematical
ideas and to other disciplines.
GA MM3P4.a - Recognize and use
Topic 11 - Conics and Secondconnections among mathematical
Degree Equations
ideas.
Topic 14 - Statistics
GA MM3P4.b - Understand how
mathematical ideas interconnect and
build on one another to produce a
coherent whole.
GA MM3P4.c - Recognize and apply Topic 2 - Linear Equations and
mathematics in contexts outside of
Inequalities
mathematics.
Topic 5 - Matrices and
Determinants
Topic 7 - Quadratic
Topic 8 - Polynomials
Topic 9 - Exponents and
Logarithms
Topic 11 - Conics and SecondDegree Equations
Page 103 of 151
Grades 9 - 12
Objective Description
Obj. 161 - Circles, write equations
using given facts
Obj. 165 - Ellipses, write equations
using given facts
Obj. 169 - Hyperbolas, graph
inequalities
Obj. 178 - Graph systems of linear
and 2nd-degree equations
Obj. 179 - Graph systems of 2nddegree inequalities
Obj. 216 - Mean and standard
deviation
Obj. 12 - WP: Solve linear equations
Obj. 25 - WP: Absolute value and
inequalities
Obj. 67 - WP: Matrices
Obj. 103 - WP: Other problems using
quadratic equations
Obj. 128 - WP: Polynomials
Obj. 138 - WP: Interest problems
Obj. 139 - WP: Growth and decay
problems
Obj. 140 - WP: Earthquake problems
Obj. 162 - WP: Circles
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics III: Accelerated Math Algebra 2
Advanced Algebra/Statistics,
Performance Standards, State
Department of Education
Standard
Topic Description
Grades 9 - 12
Objective Description
Obj. 173 - WP: Production and profit
problems
Obj. 177 - WP: Systems of equations
Topic 12 - Sequences and Series Obj. 184 - WP: Arithmetic sequences
Topic 14 - Statistics
Topic 15 - Trigonometry
GA MM3P5 - Students will represent
mathematics in multiple ways.
GA MM3P5.a - Create and use
representations to organize, record,
and communicate mathematical
ideas.
Topic 2 - Linear Equations and
Inequalities
Topic 3 - Relations, Functions,
and Graphs
Topic 4 - Systems of Equations
and Inequalities
Topic 6 - Roots, Radicals, and
Complex Numbers
Topic 9 - Exponents and
Logarithms
Page 104 of 151
Obj. 190 - WP: Geometric
sequences
Obj. 195 - WP: Geometric series
Obj. 216 - Mean and standard
deviation
Obj. 217 - Calculate z-scores
Obj. 218 - Normal curves
Obj. 231 - WP: Law of Sines and
Law of Cosines
Obj. 235 - Find unknown sides of
right triangles
Obj. 236 - WP: Trigonometry
Obj. 19 - Graph inequalities (number
line)
Obj. 20 - Graph inequalities, 1variable (coordinate plane)
Obj. 21 - Graph linear inequalities in
2-variables
Obj. 22 - Graph absolute value
inequalities (number line)
Obj. 23 - Graph absolute value ineq
(coordinate plane)
Obj. 24 - Solve and graph compound
inequalities
Obj. 34 - Graph linear equations, ax
+ by = c
Obj. 35 - Graph linear equations, y =
ax + b
Obj. 36 - Graph inverses of linear
functions
Obj. 48 - Graph systems of equations
Obj. 78 - Graph square roots
Obj. 79 - Graph nth roots
Obj. 141 - Graph exponential
functions
Obj. 142 - Graph logarithmic
functions
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics III: Accelerated Math Algebra 2
Advanced Algebra/Statistics,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Topic 12 - Sequences and Series Obj. 193 - Write geometric series in
sigma notation
Topic 15 - Trigonometry
Obj. 227 - Graph sine and cosine
functions
Obj. 228 - Graph trigonometric
functions
GA MM3P5.b - Select, apply, and
translate among mathematical
representations to solve problems.
GA MM3P5.c - Use representations Topic 2 - Linear Equations and
Obj. 19 - Graph inequalities (number
to model and interpret physical,
Inequalities
line)
social, and mathematical
phenomena.
Obj. 20 - Graph inequalities, 1variable (coordinate plane)
Obj. 21 - Graph linear inequalities in
2-variables
Obj. 22 - Graph absolute value
inequalities (number line)
Obj. 23 - Graph absolute value ineq
(coordinate plane)
Obj. 24 - Solve and graph compound
inequalities
Topic 3 - Relations, Functions,
Obj. 35 - Graph linear equations, y =
and Graphs
ax + b
Obj. 36 - Graph inverses of linear
functions
Topic 4 - Systems of Equations Obj. 48 - Graph systems of equations
and Inequalities
Topic 6 - Roots, Radicals, and
Obj. 78 - Graph square roots
Complex Numbers
Obj. 79 - Graph nth roots
Topic 9 - Exponents and
Obj. 141 - Graph exponential
Logarithms
functions
Obj. 142 - Graph logarithmic
functions
Topic 14 - Statistics
Obj. 208 - Line and stem-and-leaf
plots
Obj. 209 - Box-and-whisker plots
Topic 15 - Trigonometry
Obj. 227 - Graph sine and cosine
functions
GA MRC - Students will enhance
reading in all curriculum areas by:
GA MRC.a - Reading in all curriculum
areas
GA MRC.a.1 - Read a minimum of 25
grade-level appropriate books per
year from a variety of subject
disciplines and participate in
discussions related to curricular
learning in all areas
Page 105 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics III: Accelerated Math Algebra 2
Advanced Algebra/Statistics,
Performance Standards, State
Department of Education
Standard
Topic Description
GA MRC.a.2 - Read both
informational and fictional texts in a
variety of genres and modes of
discourse
GA MRC.a.3 - Read technical texts
related to various subject areas
Grades 9 - 12
Objective Description
GA MRC.b - Discussing books
GA MRC.b.1 - Discuss messages
and themes from books in all subject
areas.
GA MRC.b.2 - Respond to a variety
of texts in multiple modes of
discourse.
GA MRC.b.3 - Relate messages and
themes from one subject area to
messages and themes in another
area.
GA MRC.b.4 - Evaluate the merit of
texts in every subject discipline.
GA MRC.b.5 - Examine author's
purpose in writing.
GA MRC.b.6 - Recognize the
features of disciplinary texts.
GA MRC.c - Building vocabulary
knowledge
GA MRC.c.1 - Demonstrate an
understanding of contextual
vocabulary in various subjects.
GA MRC.c.2 - Use content
vocabulary in writing and speaking.
GA MRC.c.3 - Explore understanding
of new words found in subject area
texts.
GA MRC.d - Establishing context
GA MRC.d.1 - Explore life
experiences related to subject area
content.
GA MRC.d.2 - Discuss in both writing
and speaking how certain words are
subject area related.
GA MRC.d.3 - Determine strategies
for finding content and contextual
meaning for unknown words.
Page 106 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Algebra 2
Mathematics 2, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MA2A - Students will investigate
exponential, logarithmic, and
polynomial functions of higher
degree; understand matrices and use
them to solve problems; and solve
linear programming problems in two
variables.
Grades 9 - 12
Objective Description
GA MA2A1 - Students will explore
exponential functions.
GA MA2A1.a - Extend properties of
exponents to include all integer
exponents.
GA MA2A1.b - Investigate and
explain characteristics of exponential
functions, including domain and
range, asymptotes, zeros, intercepts,
intervals of increase and decrease,
rates of change, and end behavior.
GA MA2A1.c - Graph functions as
transformations of f(x) = a to the x
power.
GA MA2A1.d - Solve simple
exponential equations and
inequalities analytically, graphically,
and by using appropriate technology.
GA MA2A1.e - Understand and use
basic exponential functions as
models of real phenomena.
GA MA2A1.f - Understand and
recognize geometric sequences as
exponential functions with domains
that are sets of whole numbers.
GA MA2A1.g - Interpret the constant
ratio in a geometric sequence as the
base of the associated exponential
function.
GA MA2A2 - Students will explore
inverses of functions.
GA MA2A2.a - Discuss the
Topic 3 - Relations, Functions,
characteristics of functions and their and Graphs
inverses, including one-to-oneness,
domain, and range.
Page 107 of 151
Obj. 27 - Domain and range,
functions
Obj. 30 - Determine if functions are
one-to-one
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Algebra 2
Mathematics 2, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MA2A2.b - Determine inverses of Topic 3 - Relations, Functions,
linear, quadratic, and power functions and Graphs
and functions of the form f(x) = a/x,
including the use of restricted
domains.
GA MA2A2.c - Explore the graphs of Topic 3 - Relations, Functions,
functions and their inverses.
and Graphs
Topic 7 - Quadratic
GA MA2A2.d - Use composition to
verify that functions are inverses of
each other.
GA MA2A3 - Students will analyze
graphs of polynomial functions of
higher degree.
GA MA2A3.a - Graph simple
Topic 8 - Polynomials
polynomial functions as translations
of the function f(x) = ax to the n
power.
GA MA2A3.b - Understand the
effects of the following on the graph
of a polynomial function: degree, lead
coefficient, and multiplicity of real
zeros.
GA MA2A3.c - Determine whether a
polynomial function has symmetry
and whether it is even, odd, or
neither.
GA MA2A3.d - Investigate and
explain characteristics of polynomial
functions, including domain and
range, intercepts, zeros, relative and
absolute extrema, intervals of
increase and decrease, and end
behavior.
GA MA2A4 - Students will explore
logarithmic functions as inverses of
exponential functions.
GA MA2A4.a - Define and
Topic 6 - Roots, Radicals, and
understand the properties of nth
Complex Numbers
roots.
Page 108 of 151
Grades 9 - 12
Objective Description
Obj. 33 - Find inverses of functions
Obj. 28 - Domain and range,
determine from graphs
Obj. 34 - Graph linear equations, ax
+ by = c
Obj. 35 - Graph linear equations, y =
ax + b
Obj. 36 - Graph inverses of linear
functions
Obj. 96 - Graph quadratic functions
Obj. 97 - WP: Graph quadratic
functions
Obj. 127 - Graph polynomial
functions
Obj. 71 - Simplify nth roots
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Algebra 2
Mathematics 2, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MA2A4.b - Extend properties of Topic 6 - Roots, Radicals, and
exponents to include rational
Complex Numbers
exponents.
GA MA2A4.c - Define logarithmic
functions as inverses of exponential
functions.
Topic 9 - Exponents and
Logarithms
GA MA2A4.d - Understand and use Topic 9 - Exponents and
properties of logarithms by extending Logarithms
laws of exponents.
GA MA2A4.e - Investigate and
explain characteristics of exponential
and logarithmic functions including
domain and range, asymptotes,
zeros, intercepts, intervals of
increase and decrease, and rate of
change.
GA MA2A4.f - Graph functions as
Topic 9 - Exponents and
transformations of f(x) = a to the x
Logarithms
power, f(x) = log base a of x , f(x) = e
to the x power, f(x) = ln x.
GA MA2A4.g - Explore real
phenomena related to exponential
and logarithmic functions including
half-life and doubling time.
GA MA2A5 - Students will solve a
variety of equations and inequalities.
Grades 9 - 12
Objective Description
Obj. 70 - Simplify expressions with
fractional exponents
Obj. 72 - WP: Roots
Obj. 73 - Simplify expressions with
rational exponents
Obj. 129 - Exponential equations to
logarithmic form
Obj. 130 - Logarithmic equations to
exponential form
Obj. 133 - Properties of logarithms,
simplify expressions
Obj. 134 - Properties of logs, find
equivalent logs
Obj. 141 - Graph exponential
functions
Obj. 142 - Graph logarithmic
functions
GA MA2A5.a - Find real and complex Topic 7 - Quadratic
roots of higher degree polynomial
equations using the factor theorem,
remainder theorem, rational root
theorem, and fundamental theorem
of algebra, incorporating complex
and radical conjugates.
Obj. 104 - Solve cubic equations
Topic 7 - Quadratic
Obj. 104 - Solve cubic equations
Topic 9 - Exponents and
Logarithms
Obj. 135 - Solve logarithmic
equations
GA MA2A5.b - Solve polynomial,
exponential, and logarithmic
equations analytically, graphically,
and using appropriate technology.
Page 109 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Algebra 2
Mathematics 2, Performance
Standards, State Department of
Education
Standard
Topic Description
Grades 9 - 12
Objective Description
Obj. 136 - Solve exponential
equations
Obj. 137 - Solve equations involving
natural logarithms
Obj. 138 - WP: Interest problems
Obj. 139 - WP: Growth and decay
problems
Obj. 140 - WP: Earthquake problems
GA MA2A5.c - Solve polynomial,
exponential, and logarithmic
inequalities analytically, graphically,
and using appropriate technology.
Represent solution sets of
inequalities using interval notation.
Topic 7 - Quadratic
Obj. 107 - Solve cubic inequalities
with 1-variable
GA MA2A5.d - Solve a variety of
types of equations by appropriate
means choosing among mental
calculation, pencil and paper, or
appropriate technology.
Topic 7 - Quadratic
Obj. 87 - Solve quad eqns, square
root rule (real roots)
Obj. 88 - Solve quad eqns, square
root rule (complex roots)
Obj. 89 - Factor quadratics, real roots
Topic 9 - Exponents and
Logarithms
GA MA2A6 - Students will perform
basic operations with matrices.
GA MA2A6.a - Add, subtract,
multiply, and invert matrices, when
possible, choosing appropriate
methods, including technology.
Page 110 of 151
Topic 5 - Matrices and
Determinants
Topic 5 - Matrices and
Determinants
Obj. 90 - Factor quadratics, roots
with radicals
Obj. 91 - Quadratic formula, 2 real
roots
Obj. 92 - Quadratic formula, complex
roots
Obj. 95 - Solve quadratic equations
containing rational expr
Obj. 104 - Solve cubic equations
Obj. 135 - Solve logarithmic
equations
Obj. 136 - Solve exponential
equations
Obj. 137 - Solve equations involving
natural logarithms
Obj. 138 - WP: Interest problems
Obj. 139 - WP: Growth and decay
problems
Obj. 140 - WP: Earthquake problems
Obj. 58 - Matrices, multiply by a
constant (2 x 2)
Obj. 59 - Matrices, sums and
differences (3 x 3)
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Algebra 2
Mathematics 2, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MA2A6.b - Find the inverses of Topic 5 - Matrices and
two-by-two matrices using pencil and Determinants
paper, and find inverses of larger
matrices using technology.
GA MA2A6.c - Examine the
properties of matrices, contrasting
them with properties of real numbers.
GA MA2A7 - Students will use
matrices to formulate and solve
problems.
GA MA2A7.a - Represent a system
of linear equations as a matrix
equation.
GA MA2A7.b - Solve matrix
equations using inverse matrices.
GA MA2A7.c - Represent and solve
realistic problems using systems of
linear equations.
GA MA2A8 - Students will solve
linear programming problems in two
variables.
GA MA2A8.a - Solve systems of
inequalities in two variables, showing
the solutions graphically.
GA MA2A8.b - Represent and solve
realistic problems using linear
programming.
GA MA2A9 - Students will
understand and apply matrix
representations of vertex-edge
graphs.
GA MA2A9.a - Use graphs to
represent realistic situations.
Page 111 of 151
Grades 9 - 12
Objective Description
Obj. 60 - Matrices, products (3 x 3)
Obj. 63 - Matrices, inverses
Obj. 63 - Matrices, inverses
Topic 4 - Systems of Equations
and Inequalities
Obj. 50 - Solve systems, three
equations
Topic 5 - Matrices and
Determinants
Obj. 64 - Cramer's Rule, solve
systems of 2 equations
Obj. 65 - Cramer's Rule, solve
systems of 3 equations
Obj. 67 - WP: Matrices
Topic 5 - Matrices and
Determinants
Topic 4 - Systems of Equations
and Inequalities
Obj. 66 - Matrices, solve systems of
equations
Obj. 51 - WP: Solve systems,
number problems
Topic 4 - Systems of Equations
and Inequalities
Obj. 52 - WP: Solve systems, motion
and distance problems
Obj. 53 - WP: Solve systems, age
problems
Obj. 54 - WP: Solve systems, coin
problems
Obj. 55 - WP: Solve systems,
mixture and investment problems
Obj. 57 - Solve linear programming
problems
Topic 4 - Systems of Equations
and Inequalities
Obj. 56 - Solve systems of linear
inequalities by graphing
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Algebra 2
Mathematics 2, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MA2A9.b - Use matrices to
represent graphs, and solve
problems that can be represented by
graphs.
GA MA2G - Students will explore
right triangles and right triangular
trigonometry. They will understand
and apply properties of conic
sections, planes, and spheres.
GA MA2G1 - Students will identify
and use special right triangles.
GA MA2G1.a - Determine the lengths
of sides of 30°-60°-90° triangles.
GA MA2G1.b - Determine the
lengths of sides of 45°-45°-90°
triangles.
GA MA2G2 - Students will define and Topic 15 - Trigonometry
apply sine, cosine, and tangent ratios
to right triangles.
GA MA2G2.a - Discover the
relationship of the trigonometric ratios
for similar triangles.
GA MA2G2.b - Explain the
relationship between the
trigonometric ratios of
complementary angles.
GA MA2G2.c - Solve application
problems using the trigonometric
ratios.
GA MA2G3 - Students will investigate
the relationships between lines and
circles.
GA MA2G3.a - Find equations of
circles.
GA MA2G3.b - Graph a circle given
an equation in general form.
GA MA2G3.c - Find the equation of a
tangent line to a circle at a given
point.
GA MA2G3.d - Solve a system of
equations involving a circle and a
line.
Page 112 of 151
Grades 9 - 12
Objective Description
Obj. 223 - Find the sine, cosine, or
tangent
Obj. 234 - Find a side given side and
angle
Topic 15 - Trigonometry
Obj. 235 - Find unknown sides of
right triangles
Topic 11 - Conics and SecondDegree Equations
Obj. 158 - Graph circles
Topic 11 - Conics and SecondDegree Equations
Topic 11 - Conics and SecondDegree Equations
Obj. 159 - Circles, general form
equations
Obj. 160 - Circles, write equations
given centers and radii
Obj. 161 - Circles, write equations
using given facts
Obj. 162 - WP: Circles
Obj. 159 - Circles, general form
equations
Topic 11 - Conics and SecondDegree Equations
Obj. 175 - Solve systems of linear
and 2nd-degree equations
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Algebra 2
Mathematics 2, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MA2G3.e - Solve a system of
equations involving two circles.
GA MA2G4 - Students will recognize, Topic 11 - Conics and Secondanalyze, and graph the equations of Degree Equations
the conic sections (parabolas, circles,
ellipses, and hyperbolas).
Grades 9 - 12
Objective Description
Obj. 168 - Hyperbolas, find vertices,
foci, and asymptotes
Obj. 170 - Parabolas, find vertex
from equation
Obj. 174 - Identify equations of
conics
GA MA2G4.a - Convert equations of
conics by completing the square.
GA MA2G4.b - Graph conic sections, Topic 11 - Conics and Secondidentifying fundamental
Degree Equations
characteristics.
Obj. 158 - Graph circles
Obj. 163 - Graph ellipses
Obj. 166 - Graph hyperbolas
(standard equation)
Obj. 167 - Graph hyperbolas (general
equation)
Obj. 171 - Graph parabolas (y = x^2)
Obj. 172 - Graph parabolas (x = y^2)
GA MA2G4.c - Write equations of
conic sections given appropriate
information.
GA MA2G5 - Students will investigate
planes and spheres.
GA MA2G5.a - Plot the point (x, y, z)
and understand it as a vertex of a
rectangular prism.
GA MA2G5.b - Apply the distance
formula in 3-space.
GA MA2G5.c - Recognize and
understand equations of planes and
spheres.
GA MA2D - Students will make
informal inferences about means and
standard deviations. Students will use
a normal distribution to calculate
probabilities. Students will organize,
represent, investigate, interpret, and
make inferences from both
observational studies and
experiments.
Page 113 of 151
Topic 11 - Conics and SecondDegree Equations
Obj. 164 - Ellipses, general form
equations
Obj. 165 - Ellipses, write equations
using given facts
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Algebra 2
Mathematics 2, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MA2D1 - Using sample data,
students will make informal
inferences about population means
and standard deviations.
GA MA2D1.a - Pose a question and
collect sample data from at least two
different populations.
GA MA2D1.b - Understand and
Topic 14 - Statistics
calculate the means and standard
deviations of sets of data.
GA MA2D1.c - Use means and
standard deviations to compare data
sets.
GA MA2D1.d - Compare the means
and standard deviations of random
samples with the corresponding
population parameters. Observe that
the different sample means vary from
one sample to the next. Observe that
the distribution of the sample means
has less variability than the
population distribution.
Grades 9 - 12
Objective Description
Obj. 211 - Means of data sets
Obj. 216 - Mean and standard
deviation
GA MA2D2 - Students will create
probability histograms of discrete
random variables, using both
experimental and theoretical
probabilities.
GA MA2D3 - Students will solve
problems involving probabilities by
interpreting a normal distribution as a
probability histogram for a continuous
random variable (z-scores are used
for a general normal distribution).
GA MA2D3.a - Determine intervals
about the mean that include a given
percent of data.
GA MA2D3.b - Determine the
probability that a given value falls
within a specified interval.
GA MA2D3.c - Estimate how many
items in a population fall within a
specified interval.
Page 114 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Algebra 2
Mathematics 2, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MA2D4 - Students will
understand the differences between
experimental and observational
studies by posing questions and
collecting, analyzing, and interpreting
data.
GA MA2P - The following process
standards are essential to mastering
each of the mathematics content
standards. They emphasize critical
dimensions of the mathematical
proficiency that all students need.
GA MA2P1 - Students will solve
problems (using appropriate
technology).
GA MA2P1.a - Build new
mathematical knowledge through
problem solving.
GA MA2P1.b - Solve problems that
arise in mathematics and in other
contexts.
Topic 4 - Systems of Equations
and Inequalities
Topic 5 - Matrices and
Determinants
Topic 6 - Roots, Radicals, and
Complex Numbers
Topic 7 - Quadratic
Page 115 of 151
Grades 9 - 12
Objective Description
Obj. 50 - Solve systems, three
equations
Obj. 51 - WP: Solve systems,
number problems
Obj. 52 - WP: Solve systems, motion
and distance problems
Obj. 53 - WP: Solve systems, age
problems
Obj. 54 - WP: Solve systems, coin
problems
Obj. 55 - WP: Solve systems,
mixture and investment problems
Obj. 56 - Solve systems of linear
inequalities by graphing
Obj. 57 - Solve linear programming
problems
Obj. 64 - Cramer's Rule, solve
systems of 2 equations
Obj. 65 - Cramer's Rule, solve
systems of 3 equations
Obj. 66 - Matrices, solve systems of
equations
Obj. 67 - WP: Matrices
Obj. 72 - WP: Roots
Obj. 97 - WP: Graph quadratic
functions
Obj. 104 - Solve cubic equations
Obj. 107 - Solve cubic inequalities
with 1-variable
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Algebra 2
Mathematics 2, Performance
Standards, State Department of
Education
Standard
Topic Description
Topic 9 - Exponents and
Logarithms
Topic 11 - Conics and SecondDegree Equations
Topic 15 - Trigonometry
GA MA2P1.c - Apply and adapt a
variety of appropriate strategies to
solve problems.
Topic 4 - Systems of Equations
and Inequalities
Topic 5 - Matrices and
Determinants
Topic 6 - Roots, Radicals, and
Complex Numbers
Topic 7 - Quadratic
Topic 9 - Exponents and
Logarithms
Topic 11 - Conics and SecondDegree Equations
Topic 15 - Trigonometry
GA MA2P1.d - Monitor and reflect on
the process of mathematical problem
solving.
Page 116 of 151
Grades 9 - 12
Objective Description
Obj. 135 - Solve logarithmic
equations
Obj. 136 - Solve exponential
equations
Obj. 137 - Solve equations involving
natural logarithms
Obj. 138 - WP: Interest problems
Obj. 139 - WP: Growth and decay
problems
Obj. 140 - WP: Earthquake problems
Obj. 162 - WP: Circles
Obj. 175 - Solve systems of linear
and 2nd-degree equations
Obj. 235 - Find unknown sides of
right triangles
Obj. 50 - Solve systems, three
equations
Obj. 51 - WP: Solve systems,
number problems
Obj. 52 - WP: Solve systems, motion
and distance problems
Obj. 53 - WP: Solve systems, age
problems
Obj. 54 - WP: Solve systems, coin
problems
Obj. 55 - WP: Solve systems,
mixture and investment problems
Obj. 67 - WP: Matrices
Obj. 72 - WP: Roots
Obj. 97 - WP: Graph quadratic
functions
Obj. 104 - Solve cubic equations
Obj. 138 - WP: Interest problems
Obj. 139 - WP: Growth and decay
problems
Obj. 140 - WP: Earthquake problems
Obj. 162 - WP: Circles
Obj. 235 - Find unknown sides of
right triangles
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Algebra 2
Mathematics 2, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MA2P2 - Students will reason
and evaluate mathematical
arguments.
GA MA2P2.a - Recognize reasoning
and proof as fundamental aspects of
mathematics.
Grades 9 - 12
Objective Description
GA MA2P2.b - Make and investigate
mathematical conjectures.
GA MA2P2.c - Develop and evaluate
mathematical arguments and proofs.
GA MA2P2.d - Select and use
various types of reasoning and
methods of proof.
GA MA2P3 - Students will
communicate mathematically.
GA MA2P3.a - Organize and
consolidate their mathematical
thinking through communication.
GA MA2P3.b - Communicate their
mathematical thinking coherently and
clearly to peers, teachers, and others.
GA MA2P3.c - Analyze and evaluate
the mathematical thinking and
strategies of others.
GA MA2P3.d - Use the language of
mathematics to express
mathematical ideas precisely.
GA MA2P4 - Students will make
connections among mathematical
ideas and to other disciplines.
GA MA2P4.a - Recognize and use
connections among mathematical
ideas.
GA MA2P4.b - Understand how
mathematical ideas interconnect and
build on one another to produce a
coherent whole.
GA MA2P4.c - Recognize and apply
mathematics in contexts outside of
mathematics.
GA MA2P5 - Students will represent
mathematics in multiple ways.
GA MA2P5.a - Create and use
representations to organize, record,
and communicate mathematical
ideas.
Page 117 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Algebra 2
Mathematics 2, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MA2P5.b - Select, apply, and
translate among mathematical
representations to solve problems.
GA MA2P5.c - Use representations
to model and interpret physical,
social, and mathematical
phenomena.
GA MRC - Students will enhance
reading in all curriculum areas by:
GA MRC.a - Reading in all curriculum
areas
GA MRC.a. - Read a minimum of 25
grade-level appropriate books per
year from a variety of subject
disciplines and participate in
discussions related to curricular
learning in all areas
GA MRC.a. - Read both informational
and fictional texts in a variety of
genres and modes of discourse
Grades 9 - 12
Objective Description
GA MRC.a. - Read technical texts
related to various subject areas
GA MRC.b - Discussing books
GA MRC.b. - Discuss messages and
themes from books in all subject
areas.
GA MRC.b. - Respond to a variety of
texts in multiple modes of discourse.
GA MRC.b. - Relate messages and
themes from one subject area to
messages and themes in another
area.
GA MRC.b. - Evaluate the merit of
texts in every subject discipline.
GA MRC.b. - Examine author's
purpose in writing.
GA MRC.b. - Recognize the features
of disciplinary texts.
GA MRC.c - Building vocabulary
knowledge
GA MRC.c. - Demonstrate an
understanding of contextual
vocabulary in various subjects.
GA MRC.c. - Use content vocabulary
in writing and speaking.
GA MRC.c. - Explore understanding
of new words found in subject area
texts.
GA MRC.d - Establishing context
Page 118 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Algebra 2
Mathematics 2, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MRC.d. - Explore life experiences
related to subject area content.
Grades 9 - 12
Objective Description
GA MRC.d. - Discuss in both writing
and speaking how certain words are
subject area related.
GA MRC.d. - Determine strategies
for finding content and contextual
meaning for unknown words.
Page 119 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Geometry
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA MM1A - Students will explore
functions and solve simple equations.
Students will simplify and operate
with radical, polynomial, and rational
expressions.
GA MM1A1 - Students will explore
and interpret the characteristics of
functions, using graphs, tables, and
simple algebraic techniques.
GA MM1A1.a - Represent functions
using function notation.
GA MM1A1.b - Graph the basic
functions f(x) = x to the n power,
where n = 1 to 3, f(x) = square root of
x, f(x) = |x|, and f(x) = 1/x.
GA MM1A1.c - Graph
transformations of basic functions
including vertical shifts, stretches,
and shrinks, as well as reflections
across the x- and y-axes.
GA MM1A1.d - Investigate and
explain the characteristics of a
function: domain, range, zeros,
intercepts, intervals of increase and
decrease, maximum and minimum
values, and end behavior.
GA MM1A1.e - Relate to a given
context the characteristics of a
function, and use graphs and tables
to investigate its behavior.
GA MM1A1.f - Recognize sequences
as functions with domains that are
whole numbers.
GA MM1A1.g - Explore rates of
change, comparing constant rates of
change (i.e., slope) versus variable
rates of change. Compare rates of
change of linear, quadratic, square
root, and other function families.
GA MM1A1.h - Determine graphically
and algebraically whether a function
has symmetry and whether it is even,
odd, or neither.
Page 120 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Geometry
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA MM1A1.i - Understand that any
equation in x can be interpreted as
the equation f(x) = g(x), and interpret
the solutions of the equation as the xvalue(s) of the intersection point(s) of
the graphs of y = f(x) and y = g(x).
GA MM1A2 - Students will simplify
and operate with radical expressions,
polynomials, and rational
expressions.
GA MM1A2.a - Simplify algebraic and
numeric expressions involving square
root.
GA MM1A2.b - Perform operations Topic 7 - Right Triangles and
with square roots.
Trigonometry
Topic 9 - Area
GA MM1A2.c - Add, subtract,
multiply, and divide polynomials.
GA MM1A2.d - Expand binomials
using the Binomial Theorem.
GA MM1A2.e - Add, subtract,
multiply, and divide rational
expressions.
GA MM1A2.f - Factor expressions by
greatest common factor, grouping,
trial and error, and special products
limited to the formulas below. (x + y)²
= x² + 2xy + y²; (x - y)² = x² - 2xy + y²;
(x + y)(x - y) = x² - y²; (x + a)(x + b) =
x² + (a + b)x + ab; (x + y)³ = x³ +3x²y
+ 3xy² + y³; (x - y)³ = x³ -3x²y + 3xy² y³
Obj. 46 - Solve a problem using
multiple non-trigonometric righttriangle relationships
Obj. 73 - Determine the area of a
triangle using Heron's formula
GA MM1A2.g - Use area and volume
models for polynomial arithmetic.
GA MM1A3 - Students will solve
simple equations.
GA MM1A3.a - Solve quadratic
equations in the form ax² + bx + c = 0
where a = 1, by using factorization
and finding square roots where
applicable.
GA MM1A3.b - Solve equations
involving radicals such as square root
of x + b = c, using algebraic
techniques.
Page 121 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Geometry
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA MM1A3.c - Use a variety of
techniques, including technology,
tables, and graphs to solve equations
resulting from the investigation of x² +
bx + c = 0.
GA MM1A3.d - Solve simple rational
equations that result in linear
equations or quadratic equations with
leading coefficient of 1.
GA MM1G - Students will explore,
understand, and use the formal
language of reasoning and
justification. Students will apply
properties of polygons, and
determine distances and points of
concurrence.
GA MM1G1 - Students will
investigate properties of geometric
figures in the coordinate plane.
GA MM1G1.a - Determine the
distance between two points.
GA MM1G1.b - Determine the
distance between a point and a line.
GA MM1G1.c - Determine the
midpoint of a segment.
GA MM1G1.d - Understand the
distance formula as an application of
the Pythagorean theorem.
GA MM1G1.e - Use the coordinate
plane to investigate properties of and
verify conjectures related to triangles
and quadrilaterals.
GA MM1G2 - Students will
understand and use the language of
mathematical argument and
justification.
GA MM1G2.a - Use conjecture,
inductive reasoning, deductive
reasoning, counterexamples, and
indirect proof as appropriate.
GA MM1G2.b - Understand and use
the relationships among a statement
and its converse, inverse, and
contrapositive.
GA MM1G3 - Students will discover,
prove, and apply properties of
triangles, quadrilaterals, and other
polygons.
Page 122 of 151
Topic 1 - Basic Concepts of
Geometry
Obj. 4 - Determine the distance
between two points
Topic 1 - Basic Concepts of
Geometry
Obj. 6 - Determine the midpoint of a
line segment given the coordinates of
the endpoints
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Geometry
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA MM1G3.a - Determine the sum of Topic 5 - Quadrilaterals and
Obj. 26 - Determine the measure of
interior and exterior angles in a
Other Polygons
an angle or the sum of the angles in a
polygon.
polygon
GA MM1G3.b - Understand and use Topic 3 - Relationships Within
Obj. 20 - Solve a problem involving
the triangle inequality, the side-angle Triangles
two triangles by using the hinge
inequality, and the exterior-angle
theorem and other triangle inequality
inequality.
relationships
GA MM1G3.c - Understand and use Topic 4 - Congruent Triangles
Obj. 23 - Identify a triangle
congruence postulates and theorems
congruence postulate that justifies a
for triangles (SSS, SAS, ASA, AAS,
congruence statement
HL).
Obj. 24 - Identify congruent triangles
using triangle congruence postulates
or theorems
GA MM1G3.d - Understand, use, and Topic 5 - Quadrilaterals and
Obj. 27 - Determine a length or an
prove properties of and relationships Other Polygons
angle measure using general
among special quadrilaterals:
properties of parallelograms
parallelogram, rectangle, rhombus,
square, trapezoid, and kite.
GA MM1G3.e - Find and use points
of concurrency in triangles: incenter,
orthocenter, circumcenter, and
centroid.
GA MM1D - Students will use
counting techniques and determine
probability. Students will demonstrate
understanding of data analysis by
posing questions to be answered by
collecting data. Students will
organize, represent, investigate,
interpret, and make inferences from
data.
GA MM1D1 - Students will determine
the number of outcomes related to a
given event.
GA MM1D1.a - Apply the addition
and multiplication principles of
counting.
GA MM1D1.b - Calculate and use
simple permutations and
combinations.
Page 123 of 151
Obj. 28 - Determine a length or an
angle measure using properties of
squares, rectangles, or rhombi
Obj. 29 - Determine a length or an
angle measure using properties of
kites
Obj. 30 - Determine a length or an
angle measure using properties of
trapezoids
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Geometry
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA MM1D2 - Students will use the
basic laws of probability.
GA MM1D2.a - Find the probabilities
of mutually exclusive events.
GA MM1D2.b - Find the probabilities
of dependent events.
GA MM1D2.c - Calculate conditional
probabilities.
GA MM1D2.d - Use expected value
to predict outcomes.
GA MM1D3 - Students will relate
samples to a population.
GA MM1D3.a - Compare summary
statistics (mean, median, quartiles,
and interquartile range) from one
sample data distribution to another
sample data distribution in describing
center and variability of the data
distributions.
GA MM1D3.b - Compare the
averages of the summary statistics
from a large number of samples to
the corresponding population
parameters.
GA MM1D3.c - Understand that a
random sample is used to improve
the chance of selecting a
representative sample.
GA MM1D4 - Students will explore
variability of data by determining the
mean absolute deviation (the average
of the absolute values of the
deviations).
GA MM1P - The following process
standards are essential to mastering
each of the mathematics content
standards. They emphasize critical
dimensions of the mathematical
proficiency that all students need.
GA MM1P1 - Students will solve
problems (using appropriate
technology).
GA MM1P1.a - Build new
mathematical knowledge through
problem solving.
GA MM1P1.b - Solve problems that
arise in mathematics and in other
contexts.
Page 124 of 151
Topic 3 - Relationships Within
Triangles
Obj. 21 - WP: Determine a length or
an angle measure using triangle
relationships
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Geometry
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Topic 5 - Quadrilaterals and
Obj. 32 - WP: Solve a problem using
Other Polygons
the properties of angles and/or sides
of polygons
Topic 6 - Similarity
Obj. 43 - WP: Determine a length
using similarity
Topic 7 - Right Triangles and
Obj. 48 - WP: Solve a problem
Trigonometry
involving a complex figure using the
Pythagorean theorem
Obj. 52 - WP: Determine a length in
a right triangle using a sine, cosine,
or tangent ratio
Obj. 53 - WP: Determine the
measure of an angle in a right
triangle using a sine, cosine, or
tangent ratio
Topic 9 - Area
Obj. 72 - WP: Solve a problem
involving the area of a quadrilateral
Obj. 79 - WP: Solve a problem
involving the area of a complex
shape formed by circles and
polygons
Obj. 83 - WP: Determine a length or
an area involving a sector of a circle
Topic 10 - Surface Area and
Volume
GA MM1P1.c - Apply and adapt a
variety of appropriate strategies to
solve problems.
GA MM1P1.d - Monitor and reflect on
the process of mathematical problem
solving.
GA MM1P2 - Students will reason
and evaluate mathematical
arguments.
GA MM1P2.a - Recognize reasoning
and proof as fundamental aspects of
mathematics.
Obj. 96 - WP: Solve a problem
involving the surface area of a sphere
Obj. 100 - WP: Determine the
volume of a sphere or hemisphere
Obj. 102 - WP: Solve a problem
involving the volume of a complex
solid figure
Obj. 106 - WP: Solve a problem
involving two solid figures that have
the same surface area or volume
GA MM1P2.b - Make and investigate
mathematical conjectures.
Page 125 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Geometry
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA MM1P2.c - Develop and evaluate
mathematical arguments and proofs.
GA MM1P2.d - Select and use
various types of reasoning and
methods of proof.
GA MM1P3 - Students will
communicate mathematically.
GA MM1P3.a - Organize and
consolidate their mathematical
thinking through communication.
GA MM1P3.b - Communicate their
mathematical thinking coherently and
clearly to peers, teachers, and others.
GA MM1P3.c - Analyze and evaluate
the mathematical thinking and
strategies of others.
GA MM1P3.d - Use the language of
mathematics to express
mathematical ideas precisely.
GA MM1P4 - Students will make
connections among mathematical
ideas and to other disciplines.
GA MM1P4.a - Recognize and use
connections among mathematical
ideas.
GA MM1P4.b - Understand how
mathematical ideas interconnect and
build on one another to produce a
coherent whole.
GA MM1P4.c - Recognize and apply Topic 3 - Relationships Within
mathematics in contexts outside of
Triangles
mathematics.
Topic 5 - Quadrilaterals and
Other Polygons
Topic 6 - Similarity
Topic 7 - Right Triangles and
Trigonometry
Page 126 of 151
Obj. 21 - WP: Determine a length or
an angle measure using triangle
relationships
Obj. 32 - WP: Solve a problem using
the properties of angles and/or sides
of polygons
Obj. 43 - WP: Determine a length
using similarity
Obj. 47 - WP: Determine a length
using the properties of a 45-45-90
degree triangle or a 30-60-90 degree
triangle
Obj. 48 - WP: Solve a problem
involving a complex figure using the
Pythagorean theorem
Obj. 52 - WP: Determine a length in
a right triangle using a sine, cosine,
or tangent ratio
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Geometry
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
Obj. 53 - WP: Determine the
measure of an angle in a right
triangle using a sine, cosine, or
tangent ratio
Topic 9 - Area
Obj. 72 - WP: Solve a problem
involving the area of a quadrilateral
Obj. 79 - WP: Solve a problem
involving the area of a complex
shape formed by circles and
polygons
Obj. 83 - WP: Determine a length or
an area involving a sector of a circle
Topic 10 - Surface Area and
Volume
GA MMIP5 - Students will represent
mathematics in multiple ways.
GA MMIP5.a - Create and use
representations to organize, record,
and communicate mathematical
ideas.
GA MMIP5.b - Select, apply, and
translate among mathematical
representations to solve problems.
GA MMIP5.c - Use representations Topic 8 - Circles
to model and interpret physical,
social, and mathematical
phenomena.
GA MRC - Students will enhance
reading in all curriculum areas by:
GA MRC.a - Reading in all curriculum
areas
GA MRC.a.1 - Read a minimum of 25
grade-level appropriate books per
year from a variety of subject
disciplines and participate in
discussions related to curricular
learning in all areas
GA MRC.a.2 - Read both
informational and fictional texts in a
variety of genres and modes of
discourse
GA MRC.a.3 - Read technical texts
related to various subject areas
Obj. 96 - WP: Solve a problem
involving the surface area of a sphere
Obj. 100 - WP: Determine the
volume of a sphere or hemisphere
Obj. 67 - Determine an equation of a
circle
GA MRC.b - Discussing books
Page 127 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics I: Accelerated Math Second Edition Geometry
Algebra/Geometry/Statistics1,
Performance Standards, State
Department of Education
Standard
Topic Description
Objective Description
GA MRC.b.1 - Discuss messages
and themes from books in all subject
areas.
GA MRC.b.2 - Respond to a variety
of texts in multiple modes of
discourse.
GA MRC.b.3 - Relate messages and
themes from one subject area to
messages and themes in another
area.
GA MRC.b.4 - Evaluate the merit of
texts in every subject discipline.
GA MRC.b.5 - Examine author's
purpose in writing.
GA MRC.b.6 - Recognize the
features of disciplinary texts.
GA MRC.c - Building vocabulary
knowledge
GA MRC.c.1 - Demonstrate an
understanding of contextual
vocabulary in various subjects.
GA MRC.c.2 - Use content
vocabulary in writing and speaking.
GA MRC.c.3 - Explore understanding
of new words found in subject area
texts.
GA MRC.d - Establishing context
GA MRC.d.1 - Explore life
experiences related to subject area
content.
GA MRC.d.2 - Discuss in both writing
and speaking how certain words are
subject area related.
GA MRC.d.3 - Determine strategies
for finding content and contextual
meaning for unknown words.
Page 128 of 151
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Pre-Calculus
Mathematics 3, Performance
Standards, State Department of
Education
Standard
Topic Description
Objective Description
GA MA3A - Students will explore
Topic 1 - Review of Fundamental Obj. 16 - Domains & range, functions
characteristics of various functions, Concepts of Algebra
understand and use concepts of
trigonometric functions, investigate
and apply sequences and series, and
use parametric and polar equations
to represent functions and curves.
GA MA3A1 - Students will explore
rational functions.
GA MA3A1.a - Investigate and
explain characteristics of rational
functions, including domain, range,
zeros, points of discontinuity,
intervals of increase and decrease,
rates of change, local and absolute
extrema, symmetry, asymptotes, and
end behavior.
GA MA3A1.b - Find inverses of
rational functions, discussing domain
and range, symmetry, and function
composition.
GA MA3A1.c - Solve rational
equations and inequalities
analytically, graphically, and by using
appropriate technology.
GA MA3A2 - Students will use the
circle to define the trigonometric
functions.
GA MA3A2.a - Define and
understand angles measured in
degrees and radians, including but
not limited to 0°, 30°, 45°, 60°, 90°,
their multiples, and equivalences.
Obj. 19 - Determine if functions are
one-to-one
Topic 1 - Review of Fundamental Obj. 21 - Find inverses of functions
Concepts of Algebra
Topic 1 - Review of Fundamental Obj. 10 - Solve inequalities with
Concepts of Algebra
rational expressions
Obj. 23 - Graph rational functions
Obj. 33 - Solve rational equations
Obj. 34 - WP: Rational equations
Topic 4 - Trigonometric
Functions
GA MA3A2.b - Understand and apply
the six trigonometric functions as
functions of general angles in
standard position.
GA MA3A2.c - Find values of
Topic 4 - Trigonometric
trigonometric functions using points Functions
on the terminal sides of angles in the
standard position.
Page 129 of 151
Obj. 62 - Degrees to radians
Obj. 63 - Radians to degrees
Obj. 64 - Find exact values of trig
functions
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Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Pre-Calculus
Mathematics 3, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MA3A2.d - Understand and apply
the six trigonometric functions as
functions of arc length on the unit
circle.
GA MA3A2.e - Find values of
trigonometric functions using the unit
circle.
GA MA3A3 - Students will investigate Topic 4 - Trigonometric
Functions
and use the graphs of the six
trigonometric functions.
GA MA3A3.a - Understand and apply
the six basic trigonometric functions
as functions of real numbers.
GA MA3A3.b - Determine the
characteristics of the graphs of the
six basic trigonometric functions.
GA MA3A3.c - Graph
Topic 4 - Trigonometric
transformations of trigonometric
Functions
functions including changing period,
amplitude, phase shift, and vertical
shift.
GA MA3A3.d - Apply graphs of
trigonometric functions in realistic
contexts involving periodic
phenomena.
GA MA3A4 - Students will investigate
functions.
GA MA3A4.a - Compare and contrast
properties of functions within and
across the following types: linear,
quadratic, polynomial, power,
rational, exponential, logarithmic,
trigonometric, and piecewise.
Grades 9 - 12
Objective Description
Obj. 67 - Graph tan & cot functions
Obj. 66 - Graph sin & cos using amp,
period, & phase shift
GA MA3A4.b - Investigate
transformations of functions.
GA MA3A4.c - Investigate
characteristics of functions built
through sum, difference, product,
quotient, and composition.
Topic 4 - Trigonometric
Functions
Topic 1 - Review of Fundamental
Concepts of Algebra
Obj. 66 - Graph sin & cos using amp,
period, & phase shift
Obj. 18 - Add, subtract, multiply, &
divide functions
GA MA3A5 - Students will establish
the identities below and use them to
simplify trigonometric expressions
and verify equivalence statements.
Topic 4 - Trigonometric
Functions
Obj. 20 - Find compositions of 2
functions
Obj. 69 - Apply sum & diff formula for
sin & cos
Obj. 70 - Apply double-angle
formulas for sin & cos
Page 130 of 151
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Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Pre-Calculus
Mathematics 3, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MA3A5.1 - tan theta = sin
theta/cos theta
GA MA3A5.2 - cot theta = cos
theta/sin theta
GA MA3A5.3 - sec theta = 1/cos
theta
GA MA3A5.4 - csc theta = 1/sin theta
GA MA3A5.5 - sin² theta + cos² theta
=1
GA MA3A5.6 - cot² theta + 1 = csc²
theta
GA MA3A5.7 - sin (alpha ± beta) =
sin alpha cos beta ± cos alpha sin
beta
GA MA3A5.8 - cos (alpha ± beta) =
cos alpha cos beta ± sin alpha sin
beta
GA MA3A5.9 - sin (2 theta) = 2 sin
theta cos theta
GA MA3A5.10 - cos (2 theta) = cos²
theta - sin² theta
GA MA3A6 - Students will solve
trigonometric equations both
graphically and algebraically.
GA MA3A6.a - Solve trigonometric
Topic 5 - Applications in
equations over a variety of domains, Trigonometry
using technology as appropriate.
Grades 9 - 12
Objective Description
Obj. 79 - Solve trig equations
GA MA3A6.b - Use the coordinates
of a point on the terminal side of an
angle to express x as r cos theta and
y as r sin theta.
GA MA3A6.c - Apply the law of sines Topic 5 - Applications in
and the law of cosines.
Trigonometry
GA MA3A7 - Students will verify and Topic 5 - Applications in
apply 1/2 ab sin C to find the area of Trigonometry
a triangle.
GA MA3A8 - Students will investigate
and use inverse sine, inverse cosine,
and inverse tangent functions.
GA MA3A8.a - Find values of the
Topic 5 - Applications in
above functions using technology as Trigonometry
appropriate.
Page 131 of 151
Obj. 74 - Law of Sines
Obj. 75 - Law of Sines (ambiguous
case)
Obj. 76 - Law of Cosines
Obj. 77 - Find areas of non-right
triangles
Obj. 78 - Find values of inverse trig
functions
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Pre-Calculus
Mathematics 3, Performance
Standards, State Department of
Education
Standard
Topic Description
Objective Description
GA MA3A8.b - Determine
characteristics of the above functions
and their graphs.
GA MA3A9 - Students will use
sequences and series.
GA MA3A9.a - Use and find
Topic 9 - Sequences and Series Obj. 123 - Find terms of arith seq (1strecursive and explicit formulae for the
term & common diff)
terms of sequences.
Obj. 124 - Find specified term of
arithmetic sequence
Obj. 125 - Find terms of arith seq
(formula for nth term)
Obj. 130 - Find terms of geo seq (1st
term & common ratio)
Obj. 131 - Find terms of geo seq
given first terms
GA MA3A9.b - Recognize and use
Topic 9 - Sequences and Series Obj. 126 - WP: Arithmetic sequences
simple arithmetic and geometric
sequences.
Obj. 132 - WP: Geometric
sequences
Obj. 136 - WP: Geometric series
GA MA3A9.c - Investigate limits of
sequences.
GA MA3A9.d - Use mathematical
induction to find and prove formulae
for sums of finite series.
GA MA3A9.e - Find and apply the
Topic 9 - Sequences and Series Obj. 127 - Find sums of arithmetic
sums of finite and, where
series
appropriate, infinite arithmetic and
geometric series.
Obj. 133 - Find sums of finite
geometric series
Obj. 134 - Find sums of infinite
geometric series
Obj. 135 - Evaluate geometric series
in sigma notation
GA MA3A9.f - Use summation
Topic 9 - Sequences and Series Obj. 128 - Write arith series in sigma
notation to explore series.
notation
Obj. 135 - Evaluate geometric series
in sigma notation
GA MA3A9.g - Determine geometric Topic 9 - Sequences and Series Obj. 136 - WP: Geometric series
series and their limits.
GA MA3A10 - Students will
understand and use vectors.
GA MA3A10.a - Represent vectors
algebraically and geometrically.
Page 132 of 151
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Accelerated Math
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Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Pre-Calculus
Mathematics 3, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MA3A10.b - Convert between
Topic 11 - Vectors
vectors expressed using rectangular
coordinates and vectors expressed
using magnitude and direction.
Grades 9 - 12
Objective Description
Obj. 152 - Given 2 points, find a
vector & its magnitude
Topic 11 - Vectors
GA MA3A10.c - Add and subtract
vectors and compute scalar multiples
of vectors.
GA MA3A10.d - Use vectors to solve Topic 11 - Vectors
realistic problems.
GA MA3A11 - Students will use
complex numbers in trigonometric
form.
GA MA3A11.a - Represent complex Topic 6 - Polar Coordinates
numbers in trigonometric form.
Obj. 151 - Linear combinations of 2
vectors
Topic 6 - Polar Coordinates
Obj. 88 - Multiply & divide complex
#s in polar form
GA MA3A11.b - Find products,
quotients, powers, and roots of
complex numbers in trigonometric
form.
GA MA3A12 - Students will explore
parametric representations of plane
curves.
GA MA3A12.a - Convert between
Cartesian and parametric form.
GA MA3A12.b - Graph equations in
parametric form showing direction
and beginning and ending points
where appropriate.
GA MA3A13 - Students will explore
polar equations.
GA MA3A13.a - Express coordinates
of points in rectangular and polar
form.
GA MA3A13.b - Graph and identify Topic 6 - Polar Coordinates
characteristics of simple polar
equations including lines, circles,
cardioids, limacons, and roses.
Page 133 of 151
Obj. 162 - WP: Navigational
problems w/ vectors
Obj. 86 - Complex #s, a + bi to polar
form
Obj. 89 - DeMoivre's Theorem, find
roots
Obj. 90 - Find powers of complex #s
Obj. 81 - Rectangular to polar
coordinates
Obj. 82 - Polar to rectangular
coordinates
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Pre-Calculus
Mathematics 3, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MA3D - Students will organize,
represent, investigate, interpret, and
make inferences from data, using the
central limit theorem and the
standard normal distribution.
Students will apply the Central Limit
Theorem to calculate confidence
intervals for a population mean using
data from large samples. Students
will use sample data and confidence
intervals to draw conclusions about
populations.
Grades 9 - 12
Objective Description
GA MA3D1 - Using simulation,
students will develop the idea of the
central limit theorem.
GA MA3D2 - Using studentgenerated data from random
samples of at least 30 members,
students will determine the margin of
error and confidence interval for a
specified level of confidence.
GA MA3D3 - Students will use
confidence intervals and margins of
error to make inferences from data
about a population. Technology is
used to evaluate confidence intervals,
but students will be aware of the
ideas involved.
GA MA3P - The following process
standards are essential to mastering
each of the mathematics content
standards. They emphasize critical
dimensions of the mathematical
proficiency that all students need.
GA MA3P1 - Students will solve
problems (using appropriate
technology).
GA MA3P1.a - Build new
mathematical knowledge through
problem solving.
GA MA3P1.b - Solve problems that
arise in mathematics and in other
contexts.
Page 134 of 151
Topic 1 - Review of Fundamental Obj. 10 - Solve inequalities with
Concepts of Algebra
rational expressions
Obj. 25 - Solve direct & indirect
variation problems
Obj. 26 - Solve joint & combined
variation problems
Obj. 33 - Solve rational equations
Obj. 34 - WP: Rational equations
041910
Accelerated Math
Grades 9 - 12
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Pre-Calculus
Mathematics 3, Performance
Standards, State Department of
Education
Standard
Topic Description
Objective Description
Topic 5 - Applications in
Obj. 79 - Solve trig equations
Trigonometry
Topic 9 - Sequences and Series Obj. 126 - WP: Arithmetic sequences
GA MA3P1.c - Apply and adapt a
variety of appropriate strategies to
solve problems.
GA MA3P1.d - Monitor and reflect on
the process of mathematical problem
solving.
GA MA3P2 - Students will reason
and evaluate mathematical
arguments.
GA MA3P2.a - Recognize reasoning
and proof as fundamental aspects of
mathematics.
Obj. 132 - WP: Geometric
sequences
Obj. 136 - WP: Geometric series
Topic 11 - Vectors
Obj. 162 - WP: Navigational
problems w/ vectors
Topic 1 - Review of Fundamental Obj. 25 - Solve direct & indirect
Concepts of Algebra
variation problems
Obj. 26 - Solve joint & combined
variation problems
Obj. 34 - WP: Rational equations
Topic 9 - Sequences and Series Obj. 126 - WP: Arithmetic sequences
Obj. 132 - WP: Geometric
sequences
Obj. 136 - WP: Geometric series
GA MA3P2.b - Make and investigate
mathematical conjectures.
GA MA3P2.c - Develop and evaluate
mathematical arguments and proofs.
GA MA3P2.d - Select and use
various types of reasoning and
methods of proof.
GA MA3P3 - Students will
communicate mathematically.
GA MA3P3.a - Organize and
consolidate their mathematical
thinking through communication.
GA MA3P3.b - Communicate their
mathematical thinking coherently and
clearly to peers, teachers, and others.
GA MA3P3.c - Analyze and evaluate
the mathematical thinking and
strategies of others.
Page 135 of 151
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Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Pre-Calculus
Mathematics 3, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MA3P3.d - Use the language of
mathematics to express
mathematical ideas precisely.
GA MA3P4 - Students will make
connections among mathematical
ideas and to other disciplines.
GA MA3P4.a - Recognize and use
connections among mathematical
ideas.
GA MA3P4.b - Understand how
mathematical ideas interconnect and
build on one another to produce a
coherent whole.
GA MA3P4.c - Recognize and apply
mathematics in contexts outside of
mathematics.
GA MA3P5 - Students will represent
mathematics in multiple ways.
GA MA3P5.a - Create and use
representations to organize, record,
and communicate mathematical
ideas.
GA MA3P5.b - Select, apply, and
translate among mathematical
representations to solve problems.
GA MA3P5.c - Use representations
to model and interpret physical,
social, and mathematical
phenomena.
GA MRC - Students will enhance
reading in all curriculum areas by:
GA MRC.a - Reading in all curriculum
areas
GA MRC.a.1 - Read a minimum of 25
grade-level appropriate books per
year from a variety of subject
disciplines and participate in
discussions related to curricular
learning in all areas
GA MRC.a.2 - Read both
informational and fictional texts in a
variety of genres and modes of
discourse
GA MRC.a.3 - Read technical texts
related to various subject areas
Grades 9 - 12
Objective Description
Topic 1 - Review of Fundamental Obj. 22 - Use rigid & nonrigid
Concepts of Algebra
transformations to graph func
Obj. 23 - Graph rational functions
GA MRC.b - Discussing books
Page 136 of 151
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Accelerated Math
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Agency Tag Set Name
Product Name
Georgia, Math, 2005, Accelerated
Accelerated Math Pre-Calculus
Mathematics 3, Performance
Standards, State Department of
Education
Standard
Topic Description
GA MRC.b.1 - Discuss messages
and themes from books in all subject
areas.
GA MRC.b.2 - Respond to a variety
of texts in multiple modes of
discourse.
GA MRC.b.3 - Relate messages and
themes from one subject area to
messages and themes in another
area.
GA MRC.b.4 - Evaluate the merit of
texts in every subject discipline.
GA MRC.b.5 - Examine author's
purpose in writing.
GA MRC.b.6 - Recognize the
features of disciplinary texts.
GA MRC.c - Building vocabulary
knowledge
GA MRC.c.1 - Demonstrate an
understanding of contextual
vocabulary in various subjects.
GA MRC.c.2 - Use content
vocabulary in writing and speaking.
GA MRC.c.3 - Explore understanding
of new words found in subject area
texts.
GA MRC.d - Establishing context
GA MRC.d.1 - Explore life
experiences related to subject area
content.
GA MRC.d.2 - Discuss in both writing
and speaking how certain words are
subject area related.
GA MRC.d.3 - Determine strategies
for finding content and contextual
meaning for unknown words.
Page 137 of 151
Grades 9 - 12
Objective Description
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Georgia, Math, 2006, Mathematics 4, Accelerated Math Pre-Calculus
Performance Standards, State
Department of Education
Standard
Topic Description
GA MM4A - Students will analyze
rational and trigonometric functions.
Students will investigate and apply
sequences and series and will
understand and use vectors.
Grades 9 - 12
Objective Description
GA MM4A1 - Students will explore
rational functions.
GA MM4A1.a - Investigate and
Topic 1 - Review of Fundamental Obj. 23 - Graph rational functions
explain characteristics of rational
Concepts of Algebra
functions, including domain, range,
zeros, points of discontinuity,
intervals of increase and decrease,
rates of change, local and absolute
extrema, symmetry, asymptotes, and
end behavior.
Obj. 24 - Graph piecewise-defined
functions
Obj. 32 - Simplify, multiply, & divide
rational expressions
Obj. 33 - Solve rational equations
Obj. 34 - WP: Rational equations
GA MM4A1.b - Find inverses of
rational functions, discussing domain
and range, symmetry, and function
composition.
GA MM4A1.c - Solve rational
equations and inequalities
analytically, graphically, and by using
appropriate technology.
GA MM4A2 - Students will use the
circle to define the trigonometric
functions.
GA MM4A2.a - Define and
Topic 4 - Trigonometric
Obj. 62 - Degrees to radians
understand angles measured in
Functions
degrees and radians, including but
not limited to 0°, 30°, 45°, 60°, 90°,
their multiples, and equivalences.
Obj. 63 - Radians to degrees
GA MM4A2.b - Understand and
Topic 4 - Trigonometric
Obj. 64 - Find exact values of trig
apply the six trigonometric functions Functions
functions
as functions of general angles in
standard position.
Obj. 66 - Graph sin & cos using amp,
period, & phase shift
Obj. 67 - Graph tan & cot functions
Obj. 68 - Graph sec & csc functions
Topic 5 - Applications in
Trigonometry
Page 138 of 151
Obj. 73 - WP: Right triangles
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Georgia, Math, 2006, Mathematics 4, Accelerated Math Pre-Calculus
Performance Standards, State
Department of Education
Standard
Topic Description
GA MM4A2.c - Find values of
Topic 4 - Trigonometric
trigonometric functions using points Functions
on the terminal sides of angles in the
standard position.
Topic 5 - Applications in
Trigonometry
GA MM4A2.d - Understand and
apply the six trigonometric functions
as functions of arc length on the unit
circle.
GA MM4A2.e - Find values of
Topic 4 - Trigonometric
trigonometric functions using the unit Functions
circle.
Grades 9 - 12
Objective Description
Obj. 75 - Law of Sines (ambiguous
case)
Obj. 76 - Law of Cosines
Obj. 77 - Find areas of non-right
triangles
Obj. 79 - Solve trig equations
Obj. 65 - Find trig values given
another trig value
Obj. 73 - WP: Right triangles
Obj. 78 - Find values of inverse trig
functions
Obj. 80 - Solve eqns involving
inverse trig functions
Obj. 66 - Graph sin & cos using amp,
period, & phase shift
Obj. 67 - Graph tan & cot functions
Obj. 68 - Graph sec & csc functions
GA MM4A3 - Students will
investigate and use the graphs of the
six trigonometric functions.
GA MM4A3.a - Understand and apply Topic 4 - Trigonometric
the six basic trigonometric functions Functions
as functions of real numbers.
Obj. 64 - Find exact values of trig
functions
Obj. 65 - Find trig values given
another trig value
Obj. 69 - Apply sum & diff formula for
sin & cos
Obj. 70 - Apply double-angle
formulas for sin & cos
Obj. 71 - Apply product-sum formulas
GA MM4A3.b - Determine the
characteristics of the graphs of the
six basic trigonometric functions.
Topic 4 - Trigonometric
Functions
Obj. 72 - Verify trig identities
Obj. 66 - Graph sin & cos using amp,
period, & phase shift
Obj. 67 - Graph tan & cot functions
Obj. 68 - Graph sec & csc functions
Page 139 of 151
041910
Accelerated Math
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Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics 4, Accelerated Math Pre-Calculus
Performance Standards, State
Department of Education
Standard
Topic Description
GA MM4A3.c - Graph
Topic 4 - Trigonometric
transformations of trigonometric
Functions
functions including changing period,
amplitude, phase shift, and vertical
shift.
Grades 9 - 12
Objective Description
Obj. 66 - Graph sin & cos using amp,
period, & phase shift
Obj. 67 - Graph tan & cot functions
Obj. 68 - Graph sec & csc functions
GA MM4A3.d - Apply graphs of
trigonometric functions in realistic
contexts involving periodic
phenomena.
Topic 4 - Trigonometric
Functions
Obj. 66 - Graph sin & cos using amp,
period, & phase shift
Obj. 67 - Graph tan & cot functions
Obj. 68 - Graph sec & csc functions
GA MM4A4 - Students will
investigate functions.
GA MM4A4.a - Compare and
Topic 1 - Review of Fundamental Obj. 16 - Domains & range, functions
contrast properties of functions within Concepts of Algebra
and across the following types: linear,
quadratic, polynomial, power,
rational, exponential, logarithmic,
trigonometric, and piecewise.
GA MM4A4.b - Investigate
transformations of functions.
Obj. 17 - Evaluate functions for given
values
Obj. 18 - Add, subtract, multiply, &
divide functions
Topic 1 - Review of Fundamental Obj. 7 - Solve linear inequalities with
Concepts of Algebra
1-variable
Obj. 8 - Solve absolute value
inequalities
Obj. 9 - Solve polynomial inequalities
Obj. 11 - Solve quad eqns, square
root rule
Obj. 16 - Domains & range, functions
Topic 3 - Exponential and
Logarithmic Functions
Page 140 of 151
Obj. 17 - Evaluate functions for given
values
Obj. 18 - Add, subtract, multiply, &
divide functions
Obj. 20 - Find compositions of 2
functions
Obj. 21 - Find inverses of functions
Obj. 22 - Use rigid & nonrigid
transformations to graph func
Obj. 54 - Properties of logs, rewrite
expressions
041910
Accelerated Math
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Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics 4, Accelerated Math Pre-Calculus
Performance Standards, State
Department of Education
Standard
Topic Description
Topic 4 - Trigonometric
Functions
Grades 9 - 12
Objective Description
Obj. 58 - Solve log equations
Obj. 59 - Solve exponential equations
Obj. 66 - Graph sin & cos using amp,
period, & phase shift
Obj. 67 - Graph tan & cot functions
Obj. 68 - Graph sec & csc functions
Obj. 69 - Apply sum & diff formula for
sin & cos
Obj. 71 - Apply product-sum formulas
Obj. 72 - Verify trig identities
Obj. 78 - Find values of inverse trig
functions
Obj. 91 - Parabolas, graph given
equations
Obj. 92 - Parabolas, write eqns from
given information
Obj. 97 - Ellipses, find centers,
vertices, & foci
Obj. 98 - Ellipses, write eqns from
given information
Obj. 99 - Ellipses, graph given
equations
Obj. 100 - Hyperbolas, write eqns
from given information
Obj. 101 - Hyperbolas, find vertices,
asymptotes, & foci
Obj. 102 - Hyperbola, graph given
equations
Topic 1 - Review of Fundamental Obj. 20 - Find compositions of 2
Concepts of Algebra
functions
Topic 5 - Applications in
Trigonometry
Topic 7 - Conic Sections
GA MM4A4.c - Investigate
characteristics of functions built
through sum, difference, product,
quotient, and composition.
Obj. 27 - Simplify expressions w/
rational exponents
Obj. 28 - Factor expressions w/
rational exponents
Obj. 29 - Simplify radical expressions
Topic 3 - Exponential and
Logarithmic Functions
Obj. 30 - Solve radical equations
Obj. 32 - Simplify, multiply, & divide
rational expressions
Obj. 33 - Solve rational equations
Obj. 54 - Properties of logs, rewrite
expressions
Obj. 55 - Graph exponential functions
Obj. 56 - Graph log functions
Page 141 of 151
041910
Accelerated Math
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Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics 4, Accelerated Math Pre-Calculus
Performance Standards, State
Department of Education
Standard
Topic Description
Grades 9 - 12
Objective Description
Obj. 57 - WP: Exponential functions
Obj. 58 - Solve log equations
Obj. 59 - Solve exponential equations
Topic 5 - Applications in
Trigonometry
GA MM4A5 - Students will establish
the identities below and use them to
simplify trigonometric expressions
and verify equivalence statements.
Obj. 79 - Solve trig equations
Obj. 80 - Solve eqns involving
inverse trig functions
GA MM4A5.1 - tan theta = sin
theta/cos theta
GA MM4A5.2 - cot theta = cos
theta/sin theta
GA MM4A5.3 - sec theta = 1/cos
theta
GA MM4A5.4 - csc theta = 1/sin theta
GA MM4A5.5 - sin² theta + cos² theta
=1
GA MM4A5.6 - 1 + tan² theta = sec²
theta
GA MM4A5.7 - 1 + cot² theta = csc²
theta
GA MM4A5.8 - sin (alpha ± beta)=
sin alpha cos beta ± cos alpha sin
beta
GA MM4A5.9 - cos (alpha ± beta) =
cos alpha cos beta ± sin alpha sin
beta
GA MM4A5.10 - sin (2 theta) = 2 sin
theta cos theta
GA MM4A5.11 - cos (2 theta) = cos²
theta - sin² theta
GA MM4A6 - Students will solve
trigonometric equations both
graphically and algebraically.
GA MM4A6.a - Solve trigonometric Topic 5 - Applications in
equations over a variety of domains, Trigonometry
using technology as appropriate.
GA MM4A6.b - Use the coordinates Topic 6 - Polar Coordinates
of a point on the terminal side of an
angle to express x as r cos theta and
y as r sin theta.
Page 142 of 151
Obj. 79 - Solve trig equations
Obj. 80 - Solve eqns involving
inverse trig functions
Obj. 81 - Rectangular to polar
coordinates
041910
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Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics 4, Accelerated Math Pre-Calculus
Performance Standards, State
Department of Education
Standard
Topic Description
GA MM4A6.c - Apply the law of sines Topic 5 - Applications in
and the law of cosines.
Trigonometry
GA MM4A7 - Students will verify and
apply A = 1/2 ab sin C to find the area
of a triangle.
GA MM4A8 - Students will
investigate and use inverse sine,
inverse cosine, and inverse tangent
functions.
Grades 9 - 12
Objective Description
Obj. 82 - Polar to rectangular
coordinates
Obj. 83 - Rectangular equations to
polar form
Obj. 84 - Polar equations to
rectangular form
Obj. 74 - Law of Sines
Topic 5 - Applications in
Trigonometry
Obj. 75 - Law of Sines (ambiguous
case)
Obj. 76 - Law of Cosines
Obj. 77 - Find areas of non-right
triangles
Obj. 77 - Find areas of non-right
triangles
Topic 5 - Applications in
Trigonometry
Obj. 78 - Find values of inverse trig
functions
Obj. 80 - Solve eqns involving
inverse trig functions
GA MM4A8.a - Find values of the
above functions using technology as
appropriate.
GA MM4A8.b - Determine
characteristics of the above functions
and their graphs.
GA MM4A9 - Students will use
sequences and series
GA MM4A9.a - Use and find
Topic 9 - Sequences and Series Obj. 123 - Find terms of arith seq (1strecursive and explicit formulae for the
term & common diff)
terms of sequences.
Obj. 124 - Find specified term of
arithmetic sequence
Obj. 125 - Find terms of arith seq
(formula for nth term)
Obj. 130 - Find terms of geo seq (1st
term & common ratio)
Obj. 131 - Find terms of geo seq
given first terms
GA MM4A9.b - Recognize and use Topic 9 - Sequences and Series Obj. 132 - WP: Geometric
simple arithmetic and geometric
sequences
sequences.
GA MM4A9.c - Find and apply the
Topic 9 - Sequences and Series Obj. 127 - Find sums of arithmetic
sums of finite and, where
series
appropriate, infinite arithmetic and
geometric series.
Obj. 133 - Find sums of finite
geometric series
Obj. 134 - Find sums of infinite
geometric series
Page 143 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics 4, Accelerated Math Pre-Calculus
Performance Standards, State
Department of Education
Standard
Topic Description
GA MM4A9.d - Use summation
notation to explore finite series.
GA MM4A10 - Students will
understand and use vectors.
GA MM4A10.a - Represent vectors
algebraically and geometrically.
Grades 9 - 12
Objective Description
Obj. 135 - Evaluate geometric series
in sigma notation
Obj. 136 - WP: Geometric series
Topic 9 - Sequences and Series Obj. 128 - Write arith series in sigma
notation
Obj. 135 - Evaluate geometric series
in sigma notation
Topic 11 - Vectors
GA MM4A10.b - Convert between
Topic 11 - Vectors
vectors expressed using rectangular
coordinates and expressed using
magnitude and direction.
Obj. 155 - Angles between 2 vectors
Obj. 156 - Projections of 1 vector
onto another
Obj. 152 - Given 2 points, find a
vector & its magnitude
Obj. 154 - Dot products of 2 vectors
GA MM4A10.c - Add, subtract, and
compute scalar multiples of vectors.
Topic 11 - Vectors
GA MM4A10.d - Use vectors to solve Topic 11 - Vectors
realistic problems.
GA MM4D - Students will organize,
represent, investigate, interpret, and
make inferences from data, using the
Central Limit Theorem and the
standard normal distribution.
Students will apply the Central Limit
Theorem to calculate confidence
intervals for a population mean using
data from large samples. Students
will use sample data and confidence
intervals to draw conclusions about
populations.
Page 144 of 151
Obj. 159 - Direction angles of vectors
in space
Obj. 162 - WP: Navigational
problems w/ vectors
Obj. 151 - Linear combinations of 2
vectors
Obj. 153 - Find unit vectors in the
same direction as vectors
Obj. 157 - Cross products of 2
vectors
Obj. 158 - Find the distance between
2 points in space
Obj. 160 - Area of parallelograms
from adj side vectors
Obj. 161 - Find equations of planes
normal to vectors
Obj. 162 - WP: Navigational
problems w/ vectors
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics 4, Accelerated Math Pre-Calculus
Performance Standards, State
Department of Education
Standard
Topic Description
GA MM4D1 - Using simulation,
students will develop the idea of the
central limit theorem.
GA MM4D2 - Using studentgenerated data from random
samples of at least 30 members,
students will determine the margin of
error and confidence interval for a
specified level of confidence.
GA MM4D3 - Students will use
confidence intervals and margins of
error to make inferences from data
about a population. Technology is
used to evaluate confidence intervals,
but students will be aware of the
ideas involved.
GA MM4P - The following process
standards are essential to mastering
each of the mathematics content
standards. They emphasize critical
dimensions of the mathematical
proficiency that all students need.
GA MM4P1 - Students will solve
problems (using appropriate
technology).
GA MM4P1.a - Build new
mathematical knowledge through
problem solving.
GA MM4P1.b - Solve problems that
arise in mathematics and in other
contexts.
Grades 9 - 12
Objective Description
Topic 1 - Review of Fundamental Obj. 5 - WP: Linear Equations
Concepts of Algebra
Topic 3 - Exponential and
Logarithmic Functions
Obj. 25 - Solve direct & indirect
variation problems
Obj. 26 - Solve joint & combined
variation problems
Obj. 34 - WP: Rational equations
Obj. 57 - WP: Exponential functions
Obj. 60 - WP: Compound interest
Obj. 61 - WP: Radioactive decay
Topic 7 - Conic Sections
Obj. 105 - WP: Conic sections
Topic 8 - Systems of Linear
Obj. 117 - WP: Systems of linear
Equations and Inequalities
equations
Obj. 121 - Solve linear programming
problems
Topic 9 - Sequences and Series Obj. 126 - WP: Arithmetic sequences
Topic 10 - Probability
Page 145 of 151
Obj. 132 - WP: Geometric
sequences
Obj. 136 - WP: Geometric series
Obj. 140 - WP: Permutations
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics 4, Accelerated Math Pre-Calculus
Performance Standards, State
Department of Education
Standard
Topic Description
Grades 9 - 12
Objective Description
Obj. 143 - WP: Combinations
Obj. 144 - Probability of single events
Obj. 145 - Probability of independent
events
Obj. 146 - Conditional probability
Obj. 147 - Probability of dependent
events
Obj. 148 - Probability of mutually
exclusive events
Obj. 149 - Convert odds to probability
Obj. 150 - Find expected value
Obj. 158 - Find the distance between
2 points in space
Obj. 162 - WP: Navigational
problems w/ vectors
Topic 1 - Review of Fundamental Obj. 26 - Solve joint & combined
Concepts of Algebra
variation problems
Topic 11 - Vectors
GA MM4P1.c - Apply and adapt a
variety of appropriate strategies to
solve problems.
Topic 3 - Exponential and
Logarithmic Functions
Topic 4 - Trigonometric
Functions
Topic 8 - Systems of Linear
Equations and Inequalities
GA MM4P1.d - Monitor and reflect on
the process of mathematical problem
solving.
GA MM4P2 - Students will reason
and evaluate mathematical
arguments.
GA MM4P2.a - Recognize reasoning
and proof as fundamental aspects of
mathematics.
Obj. 34 - WP: Rational equations
Obj. 53 - Find logs by converting to
exponential form
Obj. 72 - Verify trig identities
Obj. 117 - WP: Systems of linear
equations
Obj. 121 - Solve linear programming
problems
GA MM4P2.b - Make and investigate Topic 9 - Sequences and Series Obj. 122 - Common differences of
mathematical conjectures.
arithmetic sequences
Page 146 of 151
Obj. 123 - Find terms of arith seq (1stterm & common diff)
Obj. 124 - Find specified term of
arithmetic sequence
Obj. 127 - Find sums of arithmetic
series
Obj. 129 - Find ratios of geo seq
given 3 terms
Obj. 130 - Find terms of geo seq (1st
term & common ratio)
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics 4, Accelerated Math Pre-Calculus
Performance Standards, State
Department of Education
Standard
Topic Description
Topic 10 - Probability
GA MM4P2.c - Develop and evaluate
mathematical arguments and proofs.
Grades 9 - 12
Objective Description
Obj. 131 - Find terms of geo seq
given first terms
Obj. 140 - WP: Permutations
Obj. 143 - WP: Combinations
Obj. 150 - Find expected value
GA MM4P2.d - Select and use
various types of reasoning and
methods of proof.
GA MM4P3 - Students will
communicate mathematically.
GA MM4P3.a - Organize and
consolidate their mathematical
thinking through communication.
GA MM4P3.b - Communicate their
mathematical thinking coherently and
clearly to peers, teachers, and others.
GA MM4P3.c - Analyze and evaluate
the mathematical thinking and
strategies of others.
GA MM4P3.d - Use the language of Topic 1 - Review of Fundamental
mathematics to express
Concepts of Algebra
mathematical ideas precisely.
Topic 8 - Systems of Linear
Equations and Inequalities
Topic 9 - Sequences and Series
Topic 10 - Probability
Obj. 3 - Write eqns parallel/perp to
lines through a point
Obj. 117 - WP: Systems of linear
equations
Obj. 126 - WP: Arithmetic sequences
Obj. 132 - WP: Geometric
sequences
Obj. 136 - WP: Geometric series
Obj. 140 - WP: Permutations
Obj. 144 - Probability of single events
Obj. 146 - Conditional probability
Obj. 147 - Probability of dependent
events
Obj. 148 - Probability of mutually
exclusive events
Obj. 149 - Convert odds to probability
Topic 11 - Vectors
Page 147 of 151
Obj. 152 - Given 2 points, find a
vector & its magnitude
Obj. 158 - Find the distance between
2 points in space
Obj. 159 - Direction angles of vectors
in space
Obj. 162 - WP: Navigational
problems w/ vectors
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics 4, Accelerated Math Pre-Calculus
Performance Standards, State
Department of Education
Standard
Topic Description
GA MM4P4 - Students will make
connections among mathematical
ideas and to other disciplines.
GA MM4P4.a - Recognize and use
Topic 1 - Review of Fundamental
connections among mathematical
Concepts of Algebra
ideas.
Topic 3 - Exponential and
Logarithmic Functions
Topic 4 - Trigonometric
Functions
Topic 6 - Polar Coordinates
Topic 8 - Systems of Linear
Equations and Inequalities
Topic 11 - Vectors
Topic 12 - Introduction to
Calculus
Grades 9 - 12
Objective Description
Obj. 21 - Find inverses of functions
Obj. 52 - Log equations to
exponential form
Obj. 53 - Find logs by converting to
exponential form
Obj. 72 - Verify trig identities
Obj. 81 - Rectangular to polar
coordinates
Obj. 82 - Polar to rectangular
coordinates
Obj. 83 - Rectangular equations to
polar form
Obj. 84 - Polar equations to
rectangular form
Obj. 86 - Complex #s, a + bi to polar
form
Obj. 87 - Complex #s, polar to a + bi
form
Obj. 88 - Multiply & divide complex
#s in polar form
Obj. 113 - Cramer's Rule, solve
systems of 2 equations
Obj. 114 - Cramer's Rule, solve
systems of 3 equations
Obj. 116 - Matrices, solve systems of
linear equations
Obj. 160 - Area of parallelograms
from adj side vectors
Obj. 171 - Solve problems using
definition of continuity
Obj. 172 - Find derivatives using
definition of limit
GA MM4P4.b - Understand how
mathematical ideas interconnect and
build on one another to produce a
coherent whole.
GA MM4P4.c - Recognize and apply Topic 1 - Review of Fundamental Obj. 5 - WP: Linear Equations
mathematics in contexts outside of
Concepts of Algebra
mathematics.
Obj. 15 - WP: Quadratic equations
Obj. 25 - Solve direct & indirect
variation problems
Obj. 26 - Solve joint & combined
variation problems
Obj. 34 - WP: Rational equations
Topic 2 - Polynomials
Obj. 37 - WP: Quadratic functions
Page 148 of 151
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics 4, Accelerated Math Pre-Calculus
Performance Standards, State
Department of Education
Standard
Topic Description
Topic 3 - Exponential and
Logarithmic Functions
Topic 5 - Applications in
Trigonometry
Topic 7 - Conic Sections
Topic 8 - Systems of Linear
Equations and Inequalities
Grades 9 - 12
Objective Description
Obj. 57 - WP: Exponential functions
Obj. 60 - WP: Compound interest
Obj. 61 - WP: Radioactive decay
Obj. 73 - WP: Right triangles
Obj. 105 - WP: Conic sections
Obj. 117 - WP: Systems of linear
equations
Obj. 121 - Solve linear programming
problems
Topic 9 - Sequences and Series Obj. 126 - WP: Arithmetic sequences
Topic 10 - Probability
Topic 11 - Vectors
GA MM4P5 - Students will represent
mathematics in multiple ways.
GA MM4P5.a - Create and use
representations to organize, record,
and communicate mathematical
ideas.
Obj. 145 - Probability of independent
events
Obj. 146 - Conditional probability
Obj. 147 - Probability of dependent
events
Obj. 148 - Probability of mutually
exclusive events
Obj. 150 - Find expected value
Obj. 162 - WP: Navigational
problems w/ vectors
Topic 1 - Review of Fundamental Obj. 22 - Use rigid & nonrigid
Concepts of Algebra
transformations to graph func
Topic 3 - Exponential and
Logarithmic Functions
Topic 6 - Polar Coordinates
Topic 7 - Conic Sections
Page 149 of 151
Obj. 132 - WP: Geometric
sequences
Obj. 136 - WP: Geometric series
Obj. 137 - Fundamental Counting
Principle
Obj. 140 - WP: Permutations
Obj. 143 - WP: Combinations
Obj. 144 - Probability of single events
Obj. 23 - Graph rational functions
Obj. 24 - Graph piecewise-defined
functions
Obj. 55 - Graph exponential functions
Obj. 56 - Graph log functions
Obj. 85 - Graph polar equations
Obj. 91 - Parabolas, graph given
equations
Obj. 93 - Parabolas, graph
inequalities
Obj. 96 - Circle, graph given
equations
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics 4, Accelerated Math Pre-Calculus
Performance Standards, State
Department of Education
Standard
Topic Description
GA MM4P5.b - Select, apply, and
translate among mathematical
representations to solve problems.
Grades 9 - 12
Objective Description
Obj. 99 - Ellipses, graph given
equations
Obj. 102 - Hyperbola, graph given
equations
Obj. 103 - Hyperbolas, graph
inequalities
Topic 1 - Review of Fundamental Obj. 2 - Graph lines
Concepts of Algebra
Topic 2 - Polynomials
Topic 4 - Trigonometric
Functions
Obj. 22 - Use rigid & nonrigid
transformations to graph func
Obj. 23 - Graph rational functions
Obj. 24 - Graph piecewise-defined
functions
Obj. 46 - Graph nth-degree
polynomials
Obj. 66 - Graph sin & cos using amp,
period, & phase shift
Obj. 67 - Graph tan & cot functions
Obj. 68 - Graph sec & csc functions
Topic 6 - Polar Coordinates
Topic 7 - Conic Sections
GA MM4P5.c - Use representations
to model and interpret physical,
social, and mathematical
phenomena.
GA MRC - Students will enhance
reading in all curriculum areas by:
GA MRC.a - Reading in all curriculum
areas
GA MRC.a.1 - Read a minimum of 25
grade-level appropriate books per
year from a variety of subject
disciplines and participate in
discussions related to curricular
learning in all areas
Page 150 of 151
Topic 12 - Introduction to
Calculus
Obj. 85 - Graph polar equations
Obj. 91 - Parabolas, graph given
equations
Obj. 93 - Parabolas, graph
inequalities
Obj. 96 - Circle, graph given
equations
Obj. 99 - Ellipses, graph given
equations
Obj. 103 - Hyperbolas, graph
inequalities
Obj. 163 - Limits, use graphs
041910
Accelerated Math
Standards List with Aligned Product Skills
Agency Tag Set Name
Product Name
Georgia, Math, 2006, Mathematics 4, Accelerated Math Pre-Calculus
Performance Standards, State
Department of Education
Standard
Topic Description
GA MRC.a.2 - Read both
informational and fictional texts in a
variety of genres and modes of
discourse
GA MRC.a.3 - Read technical texts
related to various subject areas
Grades 9 - 12
Objective Description
GA MRC.b - Discussing books
GA MRC.b.1 - Discuss messages
and themes from books in all subject
areas.
GA MRC.b.2 - Respond to a variety
of texts in multiple modes of
discourse.
GA MRC.b.3 - Relate messages and
themes from one subject area to
messages and themes in another
area.
GA MRC.b.4 - Evaluate the merit of
texts in every subject discipline.
GA MRC.b.5 - Examine author's
purpose in writing.
GA MRC.b.6 - Recognize the
features of disciplinary texts.
GA MRC.c - Building vocabulary
knowledge
GA MRC.c.1 - Demonstrate an
understanding of contextual
vocabulary in various subjects.
GA MRC.c.2 - Use content
vocabulary in writing and speaking.
GA MRC.c.3 - Explore understanding
of new words found in subject area
texts.
GA MRC.d - Establishing context
GA MRC.d.1 - Explore life
experiences related to subject area
content.
GA MRC.d.2 - Discuss in both writing
and speaking how certain words are
subject area related.
GA MRC.d.3 - Determine strategies
for finding content and contextual
meaning for unknown words.
Page 151 of 151
041910