Download Alg1_Hon_CM

Revised 7/19/13
Algebra 1 Honors Curriculum Map
2013-14 School Year

The Standards for Mathematical Practice describe ways in which developing student practitioners of the discipline of mathematics increasingly
ought to engage with the subject matter as they grow in mathematical maturity and expertise throughout the elementary, middle and high school
years. Designers of curricula, assessments, and professional development should all attend to the need to connect the mathematical practices to
mathematical content in mathematics instruction. http://www.corestandards.org/Math/Practice

Course Description and ELA Standards: http://www.cpalms.org/Courses/PublicPreviewCourse2.aspx

During the 2013-2014 school year Florida will be transitioning to the Common Core State Standards for Mathematics. The content standards for
Algebra 1 are based upon these new standards; however, during this transition year students will be assessed using the Algebra EOC for Algebra
aligned with the Next Generation Sunshine State Standards. For this reason, instruction should include a blend of CCSS and the NGSSS.

The timeframes listed on this calendar are estimates. You may need to adjust some of them from time to time based on data to meet the needs of
your students as some concepts may take less time and some may take more time. The State Algebra 1 EOC Assessment will be administered
May 12-16, 2014. If possible, teachers may want to try to complete content instruction at a quicker pace than listed below.

Florida Continuous Improvement Model (FCIM) Mini Lessons are available on the Secondary Mathematics Moodle Site:
http://learn.pasco.k12.fl.us/course/view.php?id=163 The goal is to use the FCIM lesson as a review after the standard has already been taught in the
classroom. Each of the lessons follow the gradual release model (I Do, We Do, You Do) and have collaborative structures embedded throughout.
Algebra 1 EOC Assessment Practice Resources:
 Algebra Nation an Algebra EOC preparation tool - http://www.algebranation.com/
 Florida Virtual Algebra 1 EOC Materials www.flvs.net/eoc - click on Algebra
 Escambia County has developed some reviews for the Math EOC exams – http://ecsd-fl.schoolloop.com/EOCReviews
 Algebra 1 FCIM Lessons (on Secondary Mathematics Moodle)
 Algebra 1 EOC Practice Test (on Secondary Mathematics Moodle)
 FCAT Explorer (Geometry EOC) – see school technology www.focus.florida-achieves.com
 FCAT Explorer Florida Achieves Focus mini assessments – see school technology specialist www.focus.florida-achieves.com
Prentice Hall Algebra 1 Adopted Textbook: practice end of course test p. 628; Online Textbook Resources (Click Interactive Digital Path then
“tests” at top. Practice Benchmark and EOC Tests available; Teacher Resources Link: Choose “Progress Monitoring” to find summative
assessments and State Practice Test)
Page 1 of 27
Revised 7/19/13
Common Core State Standards Math Resources:
 www.cpalms.org or www.floridastandards.org (Florida standards, course descriptions and resource site)
 www.corestandards.org (Common Core Standards Webpage)
 www.ccsstoolbox.org (Resources for CCSS implementation)
 www.parcconline.org (PARCC assessment information)
 http://map.mathshell.org/materials/stds.php (Mathematics tasks and assessment resources)
 www.Mathedleadership.org (Professional resources for math teachers)
 www.Insidemathematics.org (Professional resources for math teachers)
 http://illuminations.nctm.org/ (Professional resources for math teachers)
 http://mathpractices.edc.org/ (8 Math practices - information and tasks)
 www.teachingchannel.org/ (Common Core Videos)
 http://katm.org/wp/wp-content/uploads/flipbooks/High-School-CCSS-Flip-Book-USD-259-2012.pdf (Provides information and instructional
strategies that further describe the standards).
Page 2 of 27
Revised 7/19/13
Algebra 1 Honors Pacing Guide
2013-14 School Year
The suggested timeframes listed on this calendar are estimates. As a classroom teacher, please adjust the times provided in order to best meet the needs
of your students. Any differences between the Algebra I Regular Curriculum Map and this Curriculum Map are highlighted in green. NOTE: Please
be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts.
Unit Name
Open for B.O.Y Assessments and establishing procedures (4
days)
Unit A: Foundations of Algebra – (13 days)
Unit B: Solving Equations – (17 days)
Unit C: Solving Inequalities – (14 days)
Absolute Value Equations and Inequalities
Unit D: Introduction to Functions – (14 days)
Unit E: Linear Functions – (22 days)
Review and Semester Exam
Unit F: Systems of Equations and Inequalities – (13 days)
Unit G: Exponents – (12 days)
Unit H: Polynomials and Factoring – Chapter 8 (15 days)
Unit I: Quadratic Functions and Equations – Chapter 9 (13 days)
Unit J: Radical Expressions – (9 days)
Unit K: Rational Expressions & Functions - (12 days)
End of Course Review/Exam
(10 days)
Unit L: Curriculum Extension or Catch-Up (if possible) (11 days)
Estimated Timeframe for Instruction and Assessment
August 19 – August 22
August 24 – September 11
September 12 – October 4
October 7 – October 25
Note: 1st Quarter Ends October 18
October 28 – November 15
November 18 – December 20
Note: 2nd Quarter Ends December 20
January 7 - January 24
January 27 – February 11
February 12 – March 5
March 6 – April 1
Note: 3rd Quarter Ends March 13
April 2 – April 15
April 16 –May 2
May 5 – May 16
(Algebra 1 EOC Exam Window is May 12 - May 16)
May 19 – June 3 (After EOC Exam)
Note 4th quarter ends June 3
Page 3 of 27
Revised 7/19/13
Algebra 1 End-Of-Course Exam
Appendix B Sorted by Reporting Categories/Textbook Section Number
Section
Number
4-5, 4-6
4-6
Ch 4
2-1 to 2-4
2-5
3-1 to 3-4,
3-6
2-1 to 2-5,
3-2 to 3-7
5-3 to 5-5
4-4,
5-3 to 5-5
5-1,
5-3 to 5-5
5-3 to 5-6
5-1, 5-7
5-3, 6-5
6-1
Benchmark
NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts.
Functions, Linear Equations, and Inequalities: 55% of test
MA.912.A.2.3 Describe the concept of a function, use function notation, determine whether a given relation is a
function, and link equations to functions. (Also assesses MA.912.A.2.13)
MA.912.A.2.4 Determine the domain and range of a relation. (Also assesses MA.912.A.2.13)
MA.912.A.2.13 Solve real-world problems involving relations and functions. (Assessed with MA.912.A.2.3 and
MA.912.A.2.4)
MA.912.A.3.1 Solve linear equations in one variable that include simplifying algebraic expressions. (Also assesses
MA.912.A.3.2)
MA.912.A.3.3 Solve literal equations for a specified variable.
MA.912.A.3.4 Solve and graph simple and compound inequalities in one variable and be able to justify each step in a
solution.
MA.912.A.3.5 Symbolically represent and solve multi-step and real world applications that involve linear equations
and inequalities.
MA.912.A.3.7 Rewrite equations of a line into slope-intercept form and standard form. (Assessed with
MA.912.A.3.10)
MA.912.A.3.8 Graph a line given any of the following information: a table of values, the x- and y-intercepts, two
points, the slope and a point, the equation of the line in slope-intercept form, standard form, or point-slope form. (Also
assesses MA.912.A.3.12)
MA.912.A.3.9 Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on
the line. (Also assesses MA.912.A.3.12)
MA.912.A.3.10 Write an equation of a line given any of the following information: two points on the line, its slope and
one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a
given line, through a given point on the new line. (Also assesses MA.912.A.3.7, MA.912.A.3.12, and MA.912.G.1.4)
MA.912.A.3.11 Write an equation of a line that models a data set and use the equation or the graph to make
predictions. Describe the slope of the line in terms of the data, recognizing that the slope is the rate of change. (Also
assesses MA.912.A.3.12)
MA.912.A.3.12 Graph a linear equation or inequality in two variables with or without graphing technology. Write an
equation or inequality represented by a given graph. (Assessed with MA.912.A.3.8, MA.912.A.3.9, MA.912.A.3.10,
and MA.912.A.3.11)
MA.912.A.3.13 Use a graph to approximate the solution of a system of linear equations or inequalities in two variables
with or without technology. (Assessed with MA.912.A.3.14.)
Item
Type
MC,
FR
MC,
FR
MC,
FR
MC
MC
MC,
FR
MC
MC,
FR
MC,
FR
MC,
FR
Page 4 of 27
Revised 7/19/13
Section
Number
6-1 to 6-3
6-4, 6-6
5-1, 5-6
9-4
2-7 to 2-10
10-2
10-3
9-1, 9-2
9-4, 9-6
Ch 9, 10.1
3-5, 3-8
3-8
Benchmark
NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts.
MA.912.A.3.14 Solve systems of linear equations and inequalities in two and three variables using graphical,
substitution, and elimination methods. (Also assesses MA.912.A.3.13 and MA.912.3.15.)
MA.912.A.3.15 Solve real-world problems involving systems of linear equations and inequalities in two variables.
(Assessed with MA.912.A.3.14)
MA.912.G.1.4 Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines.
(Assessed with MA.912.A.3.10)
Rationals, Radicals, Quadratics, and Discrete Mathematics: 25% of Test
MA.912.A.1.8 Use the zero product property of real numbers in a variety of contexts to identify solutions to equations.
(Assessed with MA.912.A.7.2)
MA.912.A.5.4 Solve algebraic proportions .
MA.912.A.6.1 Simplify radical expressions. (Assessed with MA.912.A.6.2)
MA.912.A.6.2 Add, subtract, multiply, and divide radical expressions (square roots). (Also assesses MA.912.A.6.1)
MA.912.A.7.1 Graph quadratic equations with and without graphing technology. (Also assesses MA.912.A.7.8)
MA.912.A.7.2 Solve quadratic equations over the real numbers by factoring and by using quadratic formula. (Also
assesses MA.912.A.1.8 and MA.912.A.7.8)
MA.912.A.7.8 Use quadratic equations to solve real-world problems. (Assessed with MA.912.A.7.1 and
MA.912.A.7.2)
MA.912.D.7.1 Perform set operations such as union and intersection, complement, and cross product.
Ch 7
MA.912.D.7.2 Use Venn diagrams to explore relationships and patterns and to make arguments about relationships
between sets.
Polynomials: 20% of Test
MA.912.A.4.1 Simplify monomials and monomial expressions using the laws of integral exponents.
8-1 to 8-4
MA.912.A.4.2 Add, subtract, and multiply polynomials.
8-5 to 8-8
MA.912.A.4.3 Factor polynomial expressions. (Also assesses MA.912.A.5.1)
Concept
MA.912.A.4.4 Divide polynomials by monomials.
Byte p. 538
2-6,
MA.912.A.5.1 Simplify algebraic ratios. (Assessed with MA.912.A.4.3)
11-1 PH
Alg I
Honors only
Item
Type
MC,
FR
MC,
FR
MC
MC
MC,
FR
MC,
FR
MC,
FR
MC,
FR
MC,
FR
MC
MC
Page 5 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Algebra 1 Honors, 2013-14
(A) Foundations for Algebra
13
Know:
Understand:
There are properties and procedures to evaluate There are properties related to algebra that
algebraic expressions.
must be followed.
Do:
Write and evaluate algebraic expressions for a
given value.
The order of operations needs to be followed
when evaluation expressions.
Simplify expressions using the order of
operations.
Real numbers can be classified, graphed, and
compared.
Classify, graph, and compare real numbers.
There are rules for operations on real numbers.
Add, subtract, multiply, and divide real
numbers.
The Distributive Property can be used to
simplify expressions.
Simplify expressions using the Distributive
Property.
Tables and mental math can be used to solve
equations.
Solve equations using tables and mental math.
Tables and graphs can be used to describe
relationships.
Describe relationships using tables and
graphs.
Page 6 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Key Learning:
Unit Essential Question:
Concept:
Benchmark(s):
Variables and
Prereq for
Expressions
MA.912.A.3
Algebra 1 Honors, 2013-14
(A) Foundations for Algebra
13
There are properties related to algebra that must be followed.
How are properties related to algebra?
Lesson Essential Questions:
1. How is an algebraic expression different from a numerical
expression?
2. How do I use order of operations to evaluate an expression?
Lesson Essential Questions:
3. How do I classify, graph, and compare real numbers?
Concept:
Real Numbers and the
Number Line
Benchmark(s):
MA.912.D.7.2
Concept:
Properties and
Operations of Real
Numbers
Benchmark(s):
Lesson Essential Questions:
MA.912.A.3.2
4. Why are properties of real numbers, such as Commutative and
MACC.912.REI.1.1 Associative Properties, useful?
5. How do I add, subtract, multiply, and divide real numbers?
6. How do I use the distributive property to simplify expressions?
Concept:
Introduction to
Equations
Concept:
Patterns, Equations,
and Graphs
Benchmark(s):
MA.912.A.10.1
Lesson Essential Questions:
7. How do I solve an equation using a table and mental math?
Benchmark(s):
MA.912.A.10.1
Lesson Essential Questions:
8. Why is it useful to describe a relationship using a table, an equation,
and a graph?
Vocabulary:
quantity, variable, algebraic
expression, numerical expression,
power, exponent, base, simplify
Vocabulary:
square root radicand, radical,
perfect square, set, element of a set,
subset, rational numbers, natural
numbers, whole numbers, integers,
irrational numbers, real numbers,
inequality
Vocabulary:
equivalent expressions, deductive
reasoning, counterexample,
absolute value, opposites, additive
inverses, multiplicative inverse,
reciprocal, Associative,
Commutative, and Distributive
Properties, term, constant,
coefficient, like terms
Vocabulary:
equation, open sentence, solution to
an equation
Vocabulary:
inductive reasoning
Additional Information:
Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 1-1 through 1-9
Manipulatives/Resources: I Have Who Has for variables and expressions, Add Lo and Integer War games (NCTM Middle Grades Activities Book 6-8),
United Streaming Videos, Brainpop.com, Venn Diagram to classify real numbers, number lines, word wall, +/- counters, graphing calculators,
http://www.math.tamu.edu/~snite/M141CalcVideos.html (graphing calculator tutorial), vocabulary pocket book (foldable), math journals Dinah Zike’s Big
Book of Math (concept map, vocabulary book, shutter fold, four tab book, and layered book)
NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts.
Page 7 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Algebra 1 Honors, 2013-14
(B) Solving Equations
17
Know:
There is a process to solve multi-step
equations.
Understand:
There are procedures to follow to solve
equations.
Do:
Solve multi-step equations.
Rewrite literal equations for a given variables.
Literal equations can be solved for a given
variable.
Ratios and rates can be used in unit
conversions.
Find ratios and rates.
Convert units and rates.
Solve and apply proportions.
Missing lengths of similar figures can be found
by using proportions.
Percent problems can be solved using
proportions and percent equations.
Linear and non-linear measurements have a
relative error that can be calculated.
Find missing lengths in similar figures.
Use similar figures to measure indirectly.
Solve percent problems using proportions and
percent equations.
Find the percent change for a situation.
Percents are used to compare estimated or
measured values to actual or exact values.
Find the relative error in linear and non-linear
measurements.
Use percents to compare estimated or
measured values to actual or exact values.
Page 8 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Key Learning:
Unit Essential Question:
Algebra 1 Honors, 2013-14
(B) Solving Equations
17
There are procedures to follow to solve equations.
What procedures should I follow to solve equations?
Concept:
Solving Multi-Step
Equations
Benchmark(s):
MA.912.A.3.1
MACC.912.REI.3
MA.912.A.3.2
MACC.912.REI.1.1
MA.912.A.3.5
MACC.912.REI.2.3
MA.912.A.10.3
Benchmark(s):
MA.912.A.3.3
MACC.912.A.CED.4
Benchmark(s):
MA.912.A.5.4
MA.912.A.5.1
Lesson Essential Questions:
1. How do I solve multi-step equations?
Vocabulary:
equivalent equations, addition
property of equality, subtraction
property of equality, isolate, inverse
operations, multiplication property of
equality, division property of
equality, identity
Lesson Essential Questions:
2. How do I re-write a literal equation for a given
variable?
Lesson Essential Questions:
3. How can I use ratios, rates, and proportions to solve
problems in the real-world?
Vocabulary:
literal equation, formula
Benchmark(s):
Prereq for
MA.912.A.5
Lesson Essential Questions:
4. How do I calculate percent and percent change of a
number?
5. How can I use percents to compare estimated or
measured values to actual or exact values?
Concept:
Literal Equations
Concept:
Ratios, Rates,
Conversion,
Proportions, and
Similar figures
Concept:
Percent and Percent
Change
Vocabulary:
Ratio, rate, unit rate, conversion
factor, unit analysis, proportion, cross
products, cross products property,
similar figures, scaled drawing, scale,
scale model
Vocabulary:
Percent change, percent increase,
percent decrease, relative error,
percent error
Additional Information:
Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 2-1 through 2-10
Manipulatives/Resources: Pasco Performance Tasks: Stop That Plane, KC Flyers, Crabby Cat; Equation puzzles, equation bingo, algebra tiles,
vocabulary pocket book (foldable), math journal, word wall, United Streaming Videos, Brainpop.com, Dinah Zike’s Big Book of Math (three
tab Venn diagram, folded chart, shutter fold)
NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts.
Page 9 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Algebra 1 Honors, 2013-14
(C) Solving Inequalities
15
Know:
Inequalities can be written, solved and
graphed.
Understand:
Relationships between quantities that are not
equal can be represented and solved.
Do:
Write, solve, and graph inequalities.
Work with sets, unions, and intersections.
Unions and intersections are operations used
with sets.
The words ‘and’ and ‘or’ indicate different
compound inequalities.
Solve and graph inequalities containing the
words ‘and’ and ‘or’.
Solve and graph equations containing absolute
values.
Absolute value equations can have at most two
solutions.
Page 10 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Key Learning:
Unit Essential Question:
Algebra 1 Honors, 2013-14
(C) Solving Inequalities
14
Relationships between quantities that are not equal can be represented and solved.
How can I represent relationships between quantities that are not equal and solve them?
Concept:
Inequalities and
Their Graphs,
Solving Inequalities
Lesson Essential Questions:
1. How do I write, solve, and graph inequalities?
Vocabulary:
solution of an inequality,
equivalent inequalities
Lesson Essential Questions:
2. How do I work with sets, unions, and intersections?
Vocabulary:
union, intersection, negation
sign
Concept:
Working with Sets
and Unions and
Intersections of Sets
Concept:
Compound
Inequalities
Concept:
Absolute Value
Equations and
Inequalities
Benchmark(s):
MA.912.A.3.4
MACC.912.REI.2.3
MA.912.A.3.12
MACC.912.REI.2.3
MA.912.A.3.5
MACC.912.REI.2.3
MA.912.A.10.3
Benchmark(s):
MA.912.D.7.1
MA.912.D.7.2
Benchmark(s):
Lesson Essential Questions:
MA.912.A.3.4
3. How do I solve and graph inequalities containing the words
MACC.912.REI.2.3 ‘and’ or ‘or’?
Benchmark(s):
Lesson Essential Questions:
Prereq for
4. How is solving an equation with an absolute value similar to
MA.912.A
solving other equations?
(MA.912.A.3.4
5. How is solving an absolute value inequality similar to solving
MA.912.A.3.5
an absolute value equation?
MA.912.A.3.6)
MACC.912.REI.2.3
Additional Information:
Note: The EOC assessment may also use the negation sign with sets. Supplement when needed.
Vocabulary:
compound inequality
Vocabulary:
Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 3-1 through 3-7
Manipulatives/ Resources: Number line, Venn diagrams, vocabulary pocket book, math journal, word wall, United Streaming Videos,
Brainpop.com, Dinah Zike’s Big Book of Math (three tab Venn diagram, folded chart, shutter fold)
NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts.
Page 11 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Algebra 1 Honors, 2013-14
(D) Introduction to Functions
14
Know:
Mathematical relationships can be graphed.
Understand:
Functions can be represented and described.
Linear and non-linear functions represent
patterns.
Do:
Represent mathematical relationships using
graphs.
Identify and represent patterns that describe
linear and non-linear functions.
Some relations are functions.
Determine whether a relation is a function.
An arithmetic sequence can be represented
using function notation.
Use function notation to represent the patterns
in an arithmetic sequence.
Page 12 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Key Learning:
Unit Essential Question:
Algebra 1 Honors, 2013-14
(D) Introduction to Functions
14
Functions can be represented and described.
How can I represent and describe functions?
Concept:
Using graphs to
relate to quantities
Lesson Essential Questions:
1. How can I represent mathematical relationships using graphs?
Benchmark(s):
Prereq for
MA.912.A.2.3
MACC.912.F.IF.2
MACC.912.F.IF.3
Concept:
Benchmark(s):
Patterns of linear and MA.912.A.2.3
non-linear functions MACC.912.F.IF.2
MACC.912.F.IF.3
Vocabulary:
Lesson Essential Questions:
Vocabulary:
2. How do I identify and represent patterns for linear and non-linear dependent variable,
functions?
independent variable, input,
output, function,
linear function,
non-linear function
Concept:
Benchmark(s):
Lesson Essential Questions:
Vocabulary:
Graphing a writing a MA.912.A.2.3
3. Why is it useful to write, graph, and solve equations that
continuous graph, discrete
function rule
MACC.912.F.IF.2 represent functions?
graph
MACC.912.F.IF.3
MA.912.A.10.2
MA.912.A.2.13
Concept:
Benchmark(s):
Lesson Essential Questions:
Vocabulary:
Formalizing
MA.912.A.2.3
4. How do I determine whether a relation is a function?
relation, domain, range,
relations and
MACC.912.F.IF.2 5. How can I use function notation to represent the patterns in an
vertical line test, function
functions
MACC.912.F.IF.3 arithmetic sequence?
notation, sequence, term,
MA.912.A.2.4
arithmetic sequence,
MACC.912.F.IF.2
common difference
MACC.912.F.IF.3
MA.912.A.2.13
Additional Information:
Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 4-1 through 4-7
Manipulatives/Resources: NCTM Navigations from Stories to Graphs and From Graphs to Stories, math journal, word wall, United Streaming
Videos, Brainpop.com, Dinah Zike’s Big Book of Math (two tab book, three tab book, folded chart, pyramid fold)
NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts.
Page 13 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Algebra 1 Honors, 2013-14
(E) Linear Functions
22 (Note: Days allow for review and the Semester Exam)
Know:
Slope is the same as rate of change.
Understand:
The equation of a line gives me information.
There are three main forms of linear equations,
each having its own purpose (slope-intercept
form, standard form, and point-slope form).
Non-vertical parallel lines have the same slope;
perpendicular lines have slopes that are
opposite reciprocals of each other if neither
line is vertical.
Do:
Find the slope, or rate of change.
Write and graph linear equations in various
forms.
Use slope to determine if lines are parallel,
perpendicular, or neither.
Interpolate data, in order to write the equation
of a trend line (line of best fit) to make
predictions.
A line of best fit can be calculated by
interpolating data.
Page 14 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Key Learning:
Unit Essential Question:
Algebra 1 Honors, 2013-14
(E) Linear Functions
22 (Note: Days allow for review and the Semester Exam)
The equation of a line gives me information.
What information does the equation of a line give me?
Concept:
Rate of Change is
slope
Concept:
slope intercept form,
point slope form,
standard form
Benchmark(s):
Lesson Essential Questions:
Vocabulary:
MA.912.A.3.9
1. How are rate and rate of change and slope related?
rate of change, slope
MA.912.G.1.4
Benchmark(s):
Lesson Essential Questions:
Vocabulary:
MA.912.A.3.9
2. How do I write and graph linear equations using different
slope-intercept form, parent function,
MA.912.A.3.10
forms?
linear parent function, linear
MACC.912.F.LE.1.2
equation, y-intercept, x-intercept,
MA.912.A.3.12
point slope form, standard form of a
MACC.912.A.REI.4.10
linear equation
MA.912.A.3.8
MACC.912.A.REI.4.10
MA.912.A.3.7
Concept:
Benchmark(s):
Lesson Essential Questions:
Vocabulary:
Parallel and
MA.912.A.3.10
3. How do I use slope to find the relationship between two lines?
parallel lines, perpendicular lines,
perpendicular lines
MACC.912.F.LE.1.2
opposite reciprocals
MA.912.G.1.4
Concept:
Benchmark(s):
Lesson Essential Questions:
Vocabulary:
Scatter plots and
MA.912.A.3.11
4. How do I write an equation to show trends in data?
scatter plot, positive correlation,
trend lines
MACC.912.F.LE.1.2
negative correlation, no correlation,
MACC.912.A.CED.1.2
trend line, interpolation,
MA.912.A.3.12
extrapolation, line of best fit,
MACC.912.A.REI.4.10
correlation coefficient, causation
Additional Information:
Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 5-1 through 5-7
Note: Sections 5-2 and 5-8 are not required in Algebra 1 Honors. Also, the Algebra 1 Honors book contains an extra Concept Byte, “Characteristics of
Absolute Value Graphs” on p. 347, not found in the regular text. This activity should not be used as it doesn’t match benchmarks.
Manipulatives/Resources: Pasco Mathematics Performance Tasks: What Does Your Slope Tell Us?; Geometer’s Sketchpad, Geogebra, graphing calculator,
graphing whiteboards, pocket vocabulary book (foldable), flow chart to graph a line given two points, math journal, word wall, United Streaming Videos,
Brainpop.com, Dinah Zike’s Big Book of Math (two tab concept map, shutter fold, three tab Venn diagram)
NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts.
Page 15 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Algebra 1 Honors, 2013-14
(F) Systems of Equations and Inequalities
13
Know:
The three ways to solve systems of equations
are graphing, substitution, and elimination.
Understand:
There are various ways to solve systems of
equations and inequalities.
Do:
Use graphing, substitution, and elimination to
solve systems of equations.
There are benefits to each of the methods of
solving systems of equations.
Choose the best method for solving different
linear systems.
When graphing linear inequalities, the
inequality symbol determines the type of line
(solid or dashed) and direction of shading.
Graph a linear inequality.
There are similarities and differences between
graphing linear equations and inequalities.
Compare graphing a linear inequality to
graphing a linear equation.
Use graphing to solve systems of linear
inequalities.
A system of inequalities can be graphed.
There are ways to write a system of
inequalities given a graph of a system of
inequalities.
Use a graph of a system of inequalities to
write the system of inequalities.
Page 16 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Key Learning:
Unit Essential Question:
Concept:
Benchmark(s):
Solving Systems by (MA.912.A.3.13
Graphing,
MA.912.A.3.14
Substitution, and
MA.912.A.3.15)
Elimination
MACC.912.REI.3.6
Concept:
Applications of
Linear Systems
Algebra 1 Honors, 2013-14
(F) Systems of Equations and Inequalities
13
There are various ways to solve systems of equations and inequalities.
How can I solve systems of equations and inequalities?
Lesson Essential Questions:
Vocabulary:
1. How do I use graphing, substitution, and elimination to solve a
System of linear
system of equations?
equations, solution of
a system of linear
equations, substitution
method, eliminations
method
Lesson Essential Questions:
Vocabulary:
2. How do I choose the best method for solving a linear system?
Benchmark(s):
(MA.912.A.3.14
MA.912.A.3.15)
MACC.912.REI.3.6
Concept:
Benchmark(s):
Lesson Essential Questions:
Vocabulary:
Linear Inequalities
MA.912.A.3.5
3. How is graphing a linear inequality similar to graphing a linear
System of Linear
and Systems of
MACC.912.REI.2.3
equation?
Inequalities, Solution
Linear Inequalities
MA.912.A.3.12
4. Which method used to solve systems of linear equations could I
of a System of Linear
MACC.912.A.REI.4.10 use to solve systems of linear inequalities?
Inequalities
(MA.912.A.3.13
MA.912.A.3.14
MA.912.A.3.15)
MACC.912.A.REI.3.6
Additional Information:
Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 6-1 through 6-6
Note: In this unit, the Algebra 1 Honors book contains an extra Concept Byte, “Matrices and Solving Systems” on p. 3811, not found in the
regular text. This activity should not be used as it doesn’t match benchmarks.
Manipulatives/Resources: Pasco Performance Tasks: Election Shape Up, Fundraising, Puzzle Scales, Tree Growth;
Graphing Calculators, Geogebra, math journal, word wall, United Streaming Videos, Brainpop.com, Dinah Zike’s Big Book of Math (folded
chart, two or three tab matchbook)
NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts.
Page 17 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Algebra 1 Honors, 2013-14
(G) Exponents
12
Know:
Patterns can be used to understand how to
simplify expressions with zero and negative
exponents.
Understand:
The rules of exponents are useful to simplify
expressions and represent very large and very
small numbers.
Very small and large numbers can be
represented using powers of 10 (scientific
notation).
Do:
Simplify expressions involving zero and
negative exponents.
Use powers of 10 to write and compare
numbers (scientific notation).
Use the exponentiation rules to simplify
expressions containing exponents.
Expressions containing exponents can be
simplified using rules of exponents.
Page 18 of 27
Revised 7/19/13
Unit Essential Question:
Algebra 1 Honors, 2013-14
(G) Exponents
12
The rules of exponents are useful to simplify expressions and represent very large and very
small numbers.
Why is it important to understand rules of exponents?
Concept:
Zero and Negative
Exponents
Lesson Essential Questions:
1. How can patterns help me simplify expressions involving zero
and negative exponents?
Vocabulary:
Lesson Essential Questions:
2. How do I use powers of 10 to write and compare numbers?
Vocabulary:
scientific notation
Lesson Essential Questions:
3. How do the exponentiation rules help me simplify expressions
containing exponents?
Vocabulary:
Course Name:
Unit Title:
Estimated Number of Days:
Key Learning:
Concept:
Scientific Notation
Concept:
Exponentiation
Rules
Benchmark(s):
Prereq for
MA.912.A.4.1
MACC.912.A.SSE.3.3
Benchmark(s):
MA.912.A.4.1
MACC.912.A.SSE.3.3
Benchmark(s):
MA.912.A.4.1
MACC.912.A.SSE.3.3
Additional Information:
Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 7-1 through 7-5
Note: Sections 7-6 and 7-7 are not required in Algebra 1 Honors.
Manipulatives/Resources: The Kings Chessboard children’s book, math journal, word wall, United Streaming Videos, Brainpop.com, Dinah
Zike’s Big Book of Math (two-tab matchbook, three-tab book, vocabulary book)
NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts.
Page 19 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Algebra 1 Honors, 2013-14
(H) Polynomials and Factoring
15
Know:
Polynomials can be classified by number of
terms and degree.
Understand:
Properties of real numbers can be applied to
polynomials.
Polynomials can be added and subtracted
utilizing the properties of real numbers.
There are many methods for multiplying
polynomials.
Do:
Classify, add, and subtract polynomials.
Multiply polynomials using methods such as
distributive property, FOIL, special cases, and
vertical method.
Factor polynomials using different methods
such as greatest common factor, ac method,
special cases, and by grouping.
There are many methods for factoring
polynomials.
Page 20 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Key Learning:
Unit Essential Question:
Algebra 1 Honors, 2013-14
(H) Polynomials and Factoring
15
Properties of real numbers can be applied to polynomials.
How are the properties of real numbers related to polynomials?
Concept:
Adding and
Subtracting
Polynomials
Lesson Essential Questions:
1. How do I classify, add, and subtract polynomials?
Benchmark(s):
MA.912.A.4.2
Concept:
Multiplying
Polynomials
Vocabulary:
monomial, degree of a
monomial, polynomial,
polynomial, standard form of a
polynomial, degree of a
polynomial, binomial, trinomial
Vocabulary:
conjugate
Benchmark(s):
Lesson Essential Questions:
MA.912.A.4.2
2. How do I multiply polynomials?
MA.912.A.4.3
MACC.912.A.SSE.1.2
Concept:
Benchmark(s):
Lesson Essential Questions:
Vocabulary:
Factoring
(MA.912.A.4.3
3. How do I factor polynomials?
perfect square trinomial,
Polynomials
MA.912.A.4.4)
difference of two squares,
MACC.912.A.SSE.1.2
factoring by grouping
Additional Information:
Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 8-1 through 8-8
Use Concept Byte on page 538 to address MA.912.A.4.4 with LEQ 3.
Manipulatives/Resources: Algeblocks, algebra tiles, Geogebra, math journal, word wall, United Streaming Videos, Brainpop.com, Dinah Zike’s
Big Book of Math
NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts.
Page 21 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Algebra 1 Honors, 2013-14
(I) Quadratic Functions and Equations
13
Know:
The values of a, b, and c affect the graph of a
quadratic equation.
Understand:
Quadratic functions have distinct
characteristics that are useful when solving
quadratic equations.
The graph and the Zero-Product Property can
be used to find the solutions of a quadratic
equation.
Quadratic equations can be solved by
factoring, completing the square, or using the
quadratic formula.
The discriminant can be used to determine the
number of real roots.
Do:
Use the values of a, b, and c to graph the
equation y = ax 2 + bx + c.
Use a graph and the Zero-Product Property to
find the solutions to quadratic equations.
Solve a quadratic equation by factoring,
completing the square, and using the quadratic
formula.
Use the discriminant to find the number of
roots.
Page 22 of 27
Revised 7/19/13
Algebra 1 Honors, 2013-14
(I) Quadratic Functions and Equations
13
Quadratic functions have distinct characteristics that are useful when solving quadratic
Key Learning:
equations.
How do the characteristics of quadratic functions help me solve quadratic equations?
Unit Essential Question:
Concept:
Benchmark(s):
Lesson Essential Questions:
Vocabulary:
Quadratic
MA.912.A.7.1
1. How do the values of a, b, and c affect the graph of the
quadratic function,
Functions, Graphs,
MACC.912.A.F.IF.3.7.1 equation y = ax 2 + bx + c?
standard form of a
and Their Properties MA.912.A.7.6
quadratic function,
quadratic parent function,
parabola, axis of
symmetry, vertex,
minimum, maximum
Concept:
Benchmark(s):
Lesson Essential Questions:
Vocabulary:
Solving Quadratic
MA.912.A.7.10
2. Why are there at most 2 solutions to a quadratic equation?
quadratic equation,
Equations by
MA.912.A.7.8
standard form of a
Factoring
MACC.912.A.REI.2.4.1
quadratic equation, root
MA.912.A.1.8
of an equation, zeroMACC.912.A.SSE.1.3.1
product property
MA.912.A.7.2
MACC.912.A.SSE.1.3.2
Concept:
Benchmark(s):
Lesson Essential Questions:
Vocabulary:
Completing the
MA.912.A.7.2
3. What other methods can I use to solve quadratic equations?
completing the square,
Square and the
MACC.912.A.SSE.1.3.2
quadratic formula,
Quadratic Formula
MA.912.A.7.8
discriminant
MACC.912.A.REI.2.4.1
Additional Information:
Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources 9-1 through 9-6
Course Name:
Unit Title:
Estimated Number of Days:
Note: Section 9-7 is not required in Algebra 1 Honors. In this unit, the Algebra 1 Honors book contains two extra Concept Bytes, “Finding
Roots” on p. 554 and “Performing Regressions” on p. 581, not found in the regular text. These activities are optional.
Manipulatives/Resources: Graphing calculator, Geogebra, math journal, word wall, United Streaming Videos, Brainpop.com, Dinah Zike’s Big
Book of Math, Quadratic Formula Video (50 Cent)
NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts.
Page 23 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Algebra 1 Honors, 2013-14
(J) Radical Expressions
9
Know:
The Pythagorean Theorem can be used to find
the missing side of a right triangle.
Understand:
Do:
Simplifying and utilizing radical numbers is a Use the Pythagorean Theorem to solve for a
vital tool when solving radical equations.
missing side of a right triangle.
The Multiplication Property of Square Roots
can be used to simplify radicals.
Simplify radicals using the Multiplication
Property of Square Roots.
Properties of real numbers can be used to
perform operations with radical expressions.
Use properties of real numbers to perform
operations with radical expressions.
Page 24 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Key Learning:
Unit Essential Question:
Concept:
The Pythagorean
Theorem
Algebra 1 Honors, 2013-14
(J) Radical Expressions
9
Simplifying and utilizing radical numbers is a vital tool when using the Pythagorean Theorem,
the distance formula, and radical equations.
How are radical expressions represented?
Benchmark(s):
Lesson Essential Questions:
MA.912.A.7.8
1. Why is the Pythagorean Theorem useful?
MACC.912.A.REI.2.4.1
Vocabulary:
Pythagorean Theorem,
hypotenuse, leg,
conditional, hypothesis,
conclusion, converse
Vocabulary:
radical expression
Concept:
Benchmark(s):
Lesson Essential Questions:
Simplifying
MA.912.A.6.1
2. How can I simplify radicals using the Multiplication Property
Radicals
MACC.912.AN.RN.1.2 of Square Roots?
Concept:
Benchmark(s):
Lesson Essential Questions:
Vocabulary:
Operations With
MA.912.A.6.2
3. What properties of real numbers can I use to perform operations like radicals, unlike
Radical Expressions MACC.912.AN.RN.1.2 with radical expressions?
radicals, conjugates
Additional Information:
Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources 9-1 through 9-6
Note: Sections 10-4, 10-5, and 10-6 are not required in Algebra 1 Honors.
Manipulatives/Resources: What’s Your Angle Pythagoras? Children’s book, math journal, word wall, United Streaming Videos, Brainpop.com,
Dinah Zike’s Big Book of Math
NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts.
Page 25 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Algebra 1 Honors, 2013-14
(K) Rational Expressions and Functions
12
Know:
Some rational expressions can be simplified.
Understand:
Different operations can be performed on
rational expressions.
Do:
Simplify rational expressions.
Polynomials can be divided by binomials.
Divide polynomials by binomials.
Rational expressions can be added, subtracted,
and solved.
Add, subtract, and solve rational expressions.
Page 26 of 27
Revised 7/19/13
Course Name:
Unit Title:
Estimated Number of Days:
Key Learning:
Unit Essential Question:
Algebra 1 Honors, 2013-14
(K) Rational Expressions and Functions
12
Different operations can be performed on rational expressions.
How are radical expressions represented?
Concept:
Simplifying rational
Expressions
Benchmark(s):
Lesson Essential Questions:
MA.912.A.5.1
1. How can I simplify rational expressions?
MACC.912.A.SSE.1.2
Textbook:
1. 11-1
Vocabulary:
Rational expression,
Excluded Value
Concept:
Multiplying and
Dividing rational
expressions
Concept:
Dividing
Polynomials
Concept:
Adding and
Subtracting
Concept:
Solving rational
equations
Benchmark(s):
MA.912.A.5.2
MA.912.A.5.3
Lesson Essential Questions:
2. How can I multiply and divide rational
expressions?
Textbook:
2. 11-2
Vocabulary:
Complex fraction
Benchmark(s):
MA.912.A.4.4
Lesson Essential Questions:
3. How can I divide a polynomial by a binomial?
Textbook:
3. 11-3
Vocabulary:
Benchmark(s):
MA.912.A.5.2
Lesson Essential Questions:
4. How can I add and subtract rational expressions?
Textbook:
4. 11-4
Vocabulary:
Benchmark(s):
Lesson Essential Questions:
Textbook: Vocabulary:
MA.912.A.5.4
5. How can I solve a rational equation?
5. 11-5
Rational equation
MA.912.A.5.5
MA.912.A.5.7
Additional Information:
Note: This unit is only found in the Algebra 1 Honors book. This unit may need to be accessed online if your school doesn’t have the honors
book.
Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 11-1 through 11-5
Manipulatives/Resources: Prentice Hall Algebra II book.
NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts
Page 27 of 27