Download Days - Collier County Public Schools

Curriculum and Pacing Guide (May 2007)
Course # 1205080: 8th Grade Advanced Math
Passport to Algebra and Geometry, McDougal Littell
Correlated with Neufeld Learning Systems Inc. Understanding Math PLUS programs September 2007
General notes:
8th Grade Advanced Math #1205080 – Revised August 2007
Passport to Algebra and Geometry, McDougal Littel
1. At the beginning of the year, diagnose fluency in the Focal Points for 7 th grade. Be prepared to differentiate any instruction to help students that need reteaching. For entering 8th grade, Collier County teachers expect pre-requisite fluency in
1) Fractions, Proportions and Percents
2) Writing equations and translating English to Mathematical symbols (strategies for word problems)
3) Order of operations involving calculations with integers
4) Simple geometric perimeter/circumference, area, volume
5) Pythagorean Theorem
2. All tests after chapter 1 should be reasonably cumulative with an emphasis on the Focal Points for exiting 8th grade. For entering 9th grade, Collier County
high school teachers expect fluency in
1) Applications of Rates, Ratios, Percents, Proportions with an emphasis on the principles of working with fractional expressions
2) High school level study skills, including reading texts for knowledge, taking useful notes, test preparation with emphasis on multi-level word
problems.
3) High level order of operations involving all grouping symbols and exponents and working with real numbers. Simple integer calculations should be
accomplished without calculator assistance.
4) Complex measurement of area and volume.
5) Algebraic skills involving multi-step problems.
3. FCAT preparation can be accomplished with startups. FCAT test question types can be included on tests.
4. Any textbook section that is omitted in the pacing can be considered an Extension exercise for that chapter. Note that section
moved to be included in the Chapter 8 material.
5.8 is not omitted, but
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
PACING GUIDELINE for the 2007-2008 CCPS School Calendar
Pre-FCAT
TEXT SECTIONS
Chapter 1.1 – 1.7
1ST
QUARTER
2ND
QUARTER
3RD
QUARTER
4TH
QUARTER
Chapter 2.1 – 2.7; 2.9
Chapter 3.1 – 3.8
Chapter 4.1 – 4.6; 4.8
FCAT Benchmark Test
and Review #1
FLEX DAYS
Chapter 5.1 – 5.7;
Chapter 14.1 – 14.3
Chapter 6.1 – 6.9
Chapter 7.1 – 7.9
Chapter 8.1 – 8.7;
Chapter 5.8
FCAT Benchmark Test
and Review #2
FLEX DAYS
Chapter 9.3 & 9.4;
Chapter 10.1 – 10.9
Chapter 11.1 – 11.7
Chapter 12.1 – 12.8
Chapter 13.1 – 13.4
FCAT Benchmark Test
and Review #3
FLEX DAYS
FLEX DAYS
TOTAL DAYS
DAYS
6
FCAT TESTING
DAYS
10
9
8
9
TH
4
2
10
QUARTER
Post-FCAT
TEXT SECTIONS
Chapter 13.5 – 13.8
Chapter 9.1 & 9.2;
Chapter 9.5 – 9.8
Chapter 14.4 – 14.8
Chapter 11.8 & 11.9
FLEX DAYS
TOTAL DAYS
9
9
8
DAYS
6
7
7
4
16
40
NOTES
- Text Sections in bold text indicate 8th grade Focal Points
- FLEX DAYS help to accommodate re-teaching, early release days, field
trips, CBL lessons and other demands of your local school.
- The day count in the following chapter guides will not exactly match this
guide because chapters 9, 11, 13 and 14 are not split therein. This guide
allows 2 additional days for testing and reviews in the 4th quarter study of
these chapters.
8
2
6
10
9
8
5
- FCAT TESTING is scheduled from 3/12/08 to 3/25/08: 10 school days.
Depending on your local school initiatives and incentives, some of these
days might be available as FLEX days.
2
8
2
130
10
40
180
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Benchmarks/SSS
1
Number patterns
MA.A.5.3.1,
MA.B.1.3.3
1
Number
operations
MA.A.1.3.1,
MA.A.1.3.4,
MA.A.2.3.1,
MA.A.3.3.1,
MA.A.3.3.3,
MA.D.2.3.1
Chapter 1 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
Understanding Math PLUS
1.1
Sequence
Understanding Algebra
Topic 3. Patterns, Patterns, Patterns
Number Patterns
Examples 1, 2, 3, 4, 5, 6
1.2
Sum, difference,
product, factor,
quotient,
numerator,
denominator,
model
DW Test Item(s)
34841,34844,3905
5451,11414,13974
13990,19700,20711
19685,577,19662
20733,614,615
80277,80278,80279
Understanding Math PLUS
Understanding Whole Numbers and
Integers
Topic 2. Adding and Subtracting Whole
Numbers
All Sections
Topic 3. Multiplying and Dividing Whole
Numbers
All Sections
Powers and
Square Roots
1.3
Power, base,
exponent, square
root, radical,
square root symbol
Understanding Math PLUS
Understanding Exponents
Topic 1. The Meaning of Exponents
Exponents, Powers, Bases
Powerful Explosions
Introductory Examples
Examples 1, 2, 3, 4, 5
Examples – Substitution
Examples 1, 2, 3, 4
Examples – Order of Operation
Examples 1, 2, 3
Practice Questions
Topic 5. Square Root
Squaring Numbers
Square Roots
Radical Signs
Square Roots of Negative Numbers
Example Questions
3921,14250
11749,34651
3465216808,
16840, 80339,
80340, 80353
11867,11899
17526,10885
11774,3881
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
1
Topic
Order of
Operations
Variables in
Expressions
Benchmarks/SSS
MA.A.1.3.4,
MA.A.3.3.1,
MA.A.3.3.3,
MA.D.2.3.1,
MA.D.2.3.1,
MA.D.2.3.2
Chapter 1 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
1. Radicals First
2. The Four Equations
3. Lawn Question
4. Make a Square
1.4
Number
expression, order
of operations, Leftto-right Rule,
grouping symbols
1.5
Variable, terms,
values of the
variable,
substituting,
algebraic
expressions, verbal
model, value of the
expression,
formulas, algebraic
model
SpringBoard, MSii: Squares and Cubes
Understanding Math PLUS
Understanding Whole Numbers and
Integers
Topic 9. Order of Operations
Order in Addition
Trials 1, 2
Conclusion
Examples 1, 2
Order in Multiplication
Trials 1, 2
Conclusion
Examples 1, 2
Why use Order of Operations?
BEDMAS
Example Questions
Examples 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Word Problems
Shipping
Babysitting
Garbage
Understanding Math PLUS
Understanding Algebra
Topic 4. Patterns, Formulas, Substitution
Expressions, Terms, Variables
Definitions
Summary
Patterns to Formulas
Example... Hockey Standings
Example... Counting Money
Example... Angles in a Polygon
DW Test Item(s)
16052, 16761,
16797, 80264,
80265, 80266,
80341, 80342,
80357,19664
3648,3842
3885,3971
17625,19663
19664,20698
34671,34710
34716,34709
10894,10899,14153
631, 16049, 16053,
16587, 16757,
16826, 16836,
20691, 68536,
80267, 80268,
80350, 80351
17645,34850
11478,11449
34677,11402
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
1
Omit
2
Topic
Exploring Data:
Tables and
Graphs
Benchmarks/SSS
MA.B.2.3.1,
MA.C.1.3.1,
MA.C.2.3.1,
MA.C.3.3.1,
MA.E.1.3.1,
MA.E.1.3.2
Chapter 1 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
SpringBoard, Alg I: Centipede & Bug, Part
One
Understanding Math PLUS
Understanding Graphing
Topic 2. Statistics
Data... What is it?
Examples of Data
Example 1... Fast Food Earnings
Example 2... Infant’s Walk
Example 3... Canada and U.S.A. Forecast
Example 4... King of the Strike Out
Example 5... U.S.A. Stake in India
Example 6... Allergy Troubles
A Summary: Examples
Statistics... What is it?
Collecting Data
Throw a Die
Throw 2 Dice
Voting
Primary Data - Gathering Methods
Secondary Data - Gathering Methods
1.6
Exploring Patterns
in Geometry
1.7
Polygon, sides,
vertex, diagonal
Exploring Patterns
with Technology
Review and
Assessment
1.8
Whole numbers,
natural numbers
Understanding Math PLUS
Understanding Algebra
Topic 3. Patterns, Patterns, Patterns
Geometric Patterns
Examples 1, 2, 3, 4, 5, 6, 7, 8
DW Test Item(s)
34852,11484
14159,34156
34708,34669
34670,34711
616, 19698,
68452, 68476
17516
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Total
6
Topic
Benchmarks/SSS
Chapter 1 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
Extensions
DW Test Item(s)
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
1
The Distributive Property
Simplifying by Adding
Like Terms
Benchmarks
/SSS
MA.A.1.3.4,
MA.A.3.3.1,
MA.D.2.3.1,
MA.D.2.3.2
Chapter 2 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
Understanding Math PLUS
2.1
Equivalent
Understanding Whole Numbers
expressions,
and Integers
distributive
Topic 3. Multiplying and Dividing
property,
Whole Numbers
commutative
property of
Commutative Property
multiplication
5x1=1x5
5x2=2x5
5x3=3x5
4x3=3x4
Distributive Method
Distributive Method - Examples 1,
2, 3
Distributive Method - Questions 1,
2, 3
2.2
Like terms, add like
terms, collect like
terms, simplify,
commutative
property of addition
Understanding Math PLUS
Understanding Algebra
Topic 5. Adding Expressions
Our Problem
Adding Expressions with X and Y
Tiles
Examples 1, 2, 3
Adding Expressions with X-Squared
Tiles
Examples 1, 2, 3
Adding Expressions without Tiles
Examples 1, 2
Practice Questions with Tiles
Practice Questions without Tile
DW Test Item(s)
16063, 80290
34699,17522
67865,67804
34842,16606
61636
80293, 80295
34842,17522
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
1
Topic
Solving Equations with
mental math
Benchmarks
/SSS
MA.A.1.3.4,
MA.A.3.3.2,
MA.A.3.3.3,
MA.D.1.3.1,
MA.D.1.3.2,
MA.D.2.3.1,
MA.D.2.3.2
Solving Equations:
Addition or Subtraction
1
Solving Equations:
Multiplication or Division
1
Modeling Verbal
Expressions
Real-Life Modeling with
Equations
MA.A.3.3.2,
MA.D.1.3.1,
MA.D.1.3.2,
MA.D.2.3.1,
MA.D.2.3.2
MA.A.3.3.2,
MA.D.1.3.1,
MA.D.1.3.2,
MA.D.2.3.1
A Problem Solving Plan
MA.A.3.3.2,
1
1
Chapter 2 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
2.3
Equation, identities, Understanding Math PLUS
Understanding Equations
conditional
Topic 2. Solving One-Step
equations, solving
Equations
the equation,
solutions (of an
equation),
Our Problem
equivalent
Concepts – Examples with Tiles
equations
Examples 1, 2, 3, 4
Concepts – Examples without Tiles
Practice Questions
2.4
Addition property of
equality,
subtraction
property of equality,
commutative
properties of
addition and
multiplication,
associative
property of addition
and associative
property of
multiplication
2.5
Multiplication
property of equality,
division property of
equality
2.8
Understanding Math PLUS
Understanding Whole Numbers
and Integers
Topic 3. Multiplying and Dividing
Whole Numbers
Commutative Property
5x1=1x5
5x2=2x5
5x3=3x5
4x3=3x4
The 12 x 12 Multiplication Table
Associative Property
Examples 1, 2
3824,3953
34807,68527
16805, 16811, 80288,
80296, 80297, 80325,
80326, 80328, 80380
564,575,
16837, 80299, 80300,
80301, 80302, 80329,
80330, 80331
34706
16610,1628,8026
2.6
2.7
DW Test Item(s)
SpringBoard, MSii:
Melody’s Music Solution
562,628,572
11480,13994
762,761
1255,20689
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
1
Exploring Variables and
Inequalities
2
Review and Assessment
Ch. 1, 2
Total
9
Benchmarks
/SSS
MA.A.4.3.1
MA.D.1.3.2,
MA.D.2.3.1,
MA.D.2.3.2
Chapter 2 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
2.9
Inequalities,
Inequality symbol,
solution (of an
inequality), solving
the inequality
Extensions
Understanding Math PLUS
Understanding Equations
Topic 7. Solving Inequalities
Comparing Integers
The Integer Line
Example 1... Greater Than;
Example 2... Less Than
Explanation
Example 3... Greater Than;
Example 4... Less Than
Greater Than or Less Than
Inequalities
What Are They?
Inequality vs. Equation
Summary of Relationships
Inequality on the Number Line
Examples 1, 2, 3, 4
Solving Inequalities
Examples 1, 2, 3, 4, 5, 6
DW Test Item(s)
16779, 68543, 68544,
80308,
34877,34868,34875,34876
34325,34862,34864,20734,
20735,
34315,14762,19580
3862,11467,11468,3473,34
75,
3819,3948,3991
20734,20735,19690
80309,
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
1
Integers and Absolute
Value
1
Adding two integers
Adding three or more
integers
Benchmarks
/SSS
MA.A.1.3.1,
MA.A.1.3.2,
MA.A.1.3.4,
MA.A.3.3.2
MA.A.1.3.4,
MA.A.3.3.1,
MA.A.3.3.2,
MA.D.2.3.1
Chapter 3 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
Understanding Math PLUS
3.1
Integers, absolute
Understanding Whole Numbers and Integers
value, absolute
Topic 4. The Meaning of Integers
value signs,
opposites
Absolute Values
Examples 1, 2
Comparing Integers
Examples 1, 2, 3, 4
Example Questions
Examples 1, 2, 3, 4, 5, 6
3.2
3.3
Coefficients
DW Test
Item(s)
634,34649,
34654,11737
11756,14022
3792, ,11734,
16057, 16058,
16798, 16799,
80269, 80270,
80271, 80272,
80352
Understanding Math PLUS
Understanding Whole Numbers and Integers
Topic 5. Adding Integers
Going for a Walk... An Introduction to Addition
Examples 1, 2, 3
Number Line... An Introduction to Addition
Examples 1, 2, 3
Summary... Using a Number Line
Writing Positive Integers
Examples 1, 2, 3
20713,80273,
80274
Understanding Math PLUS
Understanding Whole Numbers and Integers
Topic 5. Adding Integers
Word Problems
Temperature
Money
Car
16059, 68527
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
1
Subtracting integers
1
Multiplying Integers
Benchmarks
/SSS
MA.A.1.3.4,
MA.A.3.3.1,
MA.A.3.3.2,
MA.D.2.3.1
Chapter 3 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
Understanding Math PLUS
3.4
Difference
Understanding Whole Numbers and Integers
Topic 6. Subtracting Integers
Elevators... An Introduction to Subtraction
Examples 1, 2, 3, 4
Summary... Using Elevators
Summary... Add the Opposite
Example Questions
Example 1 – With Brackets
Example 2 – With Brackets
Example 3 – Meaning of... 2 – 5
Example 4 – Meaning of... -7 – 3
Example 5 – Meaning of... -7 + 9 – 18
Example 6 – Meaning of... -4 – 9 + 2 – 8
Summary from Examples 3 to 6
3.5
Understanding Math PLUS
Understanding Whole Numbers and Integers
Topic 7. Multiplying Integers
Order in Multiplication
The Multiplication Table
Examples 1, 2, 3
Summary #1... Signs
Negative X Negative... Note Patterns
Patterns 1, 2
Summary #2... Signs
Example Questions
Examples 1, 2, 3, 4, 5
DW Test
Item(s)
11902,80276
3798,3841
16060, 16061,
3743,3927,1762
8
19661,16772,80
282
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Benchmarks
/SSS
Dividing Integers
1
Problem Solving Using
Integers
MA.A.3.3.2,
MA.D.1.3.1,
MA.D.1.3.2,
MA.D.2.3.1
Chapter 3 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
Understanding Math PLUS
3.6
Understanding Whole Numbers and Integers
Topic 8. Dividing Integers
Division to Multiplication
The Division Table
Instructions
Patterns
Practice
The Inverse of Multiplication
Examples 1, 2
Summary #1... Signs
Summary #2... Signs
Example Questions
Examples 1, 2, 3, 4
3.7
Inverse operation
Understanding Math PLUS
Understanding Whole Numbers and Integers
Topic 5. Adding Integers
Word Problems
Temperature
Money
Car
Topic 6. Subtracting Integers
Going for a Walk
Preliminary
The Walk
David’s Trip Part 1, Part 2
Summary
Word Problems
The Sailboat
The Bank
DW Test
Item(s)
3647,16773,
80284
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Benchmarks
/SSS
Chapter 3 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
Topic 7. Multiplying Integers
Word Problems
Washing Cars
The Helicopter
Construction
DW Test
Item(s)
Topic 8. Dividing Integers
Word Problems
Casino
Plant
Graham’s Walk
1
Exploring Patterns in the
Coordinate Plane
MA.A.1.3.4,
MA.B.1.3.2,
MA.B.3.3.1
3.8
Coordinate plane,
axes, quadrants,
ordered pair, xcoordinate, ycoordinate, solution
Understanding Math PLUS
Understanding Graphing
Topic 3. Points on a Grid
Ordered Pairs
Axis
Quadrants and Cartesian Plane
Find a Point
Order is Important
Examples
Shapes
Battleship
Topic Test
CBL, MS Science w/Calculators:
Lab #27, Mapping a Magnetic Field
2
Total
8
Review and Assessment
Ch. 1-3
16774, 16775,
16780,
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
1
Solving Two-Step Equations
1
Solving Multi-Step Equations
1
Two-Step Equations and
Problem Solving
1
Solving Equations: The
Distributive Property
Benchm
arks/SS
S
MA.D.1.3
.1,
MA.D.1.3
.2,
MA.D.2.3
.1,
MA.D.2.3
.2
Chapter 4 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
Extensions
DW Test
Item(s)
4.1
Understanding Math PLUS
Understanding Equations
Topic 3. Solving Two-Step Equations
Our Problem
Concepts – Examples with Tiles
Examples 1, 2, 3, 4
Concepts – Examples without Tiles
Examples 1, 2, 3, 4, 5, 6
16801,
20690,20729,
34871,5683
14161,14167,
17552,17555
MA.D.1.3
.1,
MA.D.1.3
.2,
MA.D.2.3
.1,
MA.D.2.3
.2
4.2
Understanding Math PLUS
Understanding Equations
Topic 4. Solving Multi-Step Equations
Our Problem
Concepts – Examples with Tiles
Concepts – Examples without Tiles
Examples 1, 2, 3, 4, 5
Summary
Literal Equations
What Are They?
How do you solve them?
Why Solve the Literal Equations?
A Perimeter Example
A Temperature Example
Practice Questions
Topic Test
16064,
16308,
16766
MA.D.1.3
.2,
MA.D.2.3
.1,
MA.D.2.3
.2
MA.D.1.3
.1,
MA.D.2.3
4.3
Understanding Math PLUS
Understanding Equations
Topic 3. Solving Two-Step Equations
Practice Questions
Topic Test
16765
4.4
Reciprocal
16762,
16764,
16767, 80289
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
1
Solving Equations: Variables
on Both Sides
1
Problem Solving Strategies
Omit
Solving Equations Using
Technology
Benchm
arks/SS
S
.1,
MA.D.2.3
.2
MA.D.1.3
.1,
MA.D.2.3
.1,
MA.D.2.3
.2
MA.A.3.3
.2,
MA.A.4.3
.1
Chapter 4 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
4.5
Extensions
Equilateral triangle
DW Test
Item(s)
16066, 16609
16768
4.6
Understanding Math PLUS
Understanding Equations
Topic 5. Problem Solving
Words and Symbols
The Translation Machine
Examples 1, 2, 3, 4
The Trick Machine
Instructions
The Machine
Explanation with Pictures
Explanation with Symbols
Area of Walls
Chemistry
Pool Puzzler – The First Problem
Perimeter Problem with Diagram
Money Problem with Chart
Age Problem with Chart
4.7
Understanding Math PLUS
Understanding Equations
Topic 5. Problem Solving
Words and Symbols
The Translation Machine
Examples 1, 2, 3, 4
The Trick Machine
Instructions
The Machine
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Benchm
arks/SS
S
Chapter 4 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
Extensions
DW Test
Item(s)
Explanation with Pictures
Explanation with Symbols
Area of Walls
Chemistry
Pool Puzzler – The First Problem
Perimeter Problem with Diagram
Money Problem with Chart
Age Problem with Chart
1
Formulas and Variables in
Geometry
MA.B.1.3
.1,
MA.B.1.3
.3,
MA.C.1.3
.1
4.8
Understanding Math PLUS
Understanding Algebra
Topic 4. Patterns, Formulas, Substitution
Patterns to Formulas
Example... Angles in a Polygon
SpringBoard, MSii: Putting Back the Pieces
2
Total
9
Review and Assessment Ch.
1-4
752, 16834
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
1
Topic
Exploring Pictographs and
Time Lines
Benchm
arks/SS
S
MA.E.1.3
.1
Exploring Bar Graphs and
Histograms
Chapter 5 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
Extensions
5.1
Pictograph, time
line
Understanding Math PLUS
Understanding Graphing
Topic 2. Statistics
An Introduction
Tally Chart
Pictograph #1
Pictograph #2
5.2
Bar graph,
histogram,
frequency
distribution
Understanding Math PLUS
Understanding Graphing
Topic 2. Statistics
Bar Graph #1
Bar Graph #2
Histogram
Example 1... Heights of Students
Example 2... Roll a Die
DW Test Item(s)
5464
11545,34927,11537
34897,14259,11397
SpringBoard, Alg i: Olympic Hoops
1
Exploring Line Graphs
MA.E.1.3
.1
5.3
1
Problem Solving: Choosing
an Appropriate Graph
MA.E.1.3
.1
5.4
Line graph
Understanding Math PLUS
Understanding Graphing
Topic 2. Statistics
Line Graph
Example 1... Life Expectancy
Example 2... Software Profits
34882,34879,14178
34922,5681,34922
14151,14177,20686,2
0727
Understanding Math PLUS
Understanding Graphing
Topic 2. Statistics
Presenting Data – All sections
3827,19799,34883,34
886,
34887,34888,
34928
http://score.kings.k12.ca.us/lessons/score.
html (Gifted)
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Benchm
arks/SS
S
Problem Solving: Misleading
Graphs
1
Statistics: Line Plots
Statistics: Scatter Plots
Chapter 5 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
Understanding Math PLUS
Understanding Graphing
Topic 2. Statistics
Presenting Data – All sections
5.5
MA.E.1.3
.2
5.6
5.7
Extensions
Line Plot
Scatter plot,
positive correlation,
no correlation,
negative correlation
Understanding Math PLUS
Understanding Graphing
Topic 2. Statistics
Scatter Plot
Example 1... The T-Shirt Tailor
Example 2... Matching
SpringBoard, MSii: Much Ado About
Candy
Later
Exploring Probability
5.8
Probability of an
event
Understanding Math PLUS
Understanding Probability
Topic 2. What’s the Chance?
Probability
What is it?
Introduction 1
Introduction 2
Probability Examples
1. Coin Toss
2. Picking One Ball
3. Picking Two Balls
4. Travel Example
5. Number Example
6. Rabbit Example
7. Mailing Letters
8. Forest
9. Ahmed’s Maze
The Probability Scale
Examples
Summary
DW Test Item(s)
3877,19798,3920
4006,20707,20727
68476
20687,14183
11490,14187
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Benchm
arks/SS
S
Chapter 5 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
Extensions
DW Test Item(s)
Follow Up
Soccer Example
present as part of chapter 8
2
Total
6
Review and Assessment Ch.
1-5
Interpreting Graphs:
14189,20707,14191
11593
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
1
Topic
Divisibility Tests
Factors and Primes
1
Greatest Common Factor
1
Least Common Multiple
1
Simplifying and Comparing
Fractions
Benchm
arks/SSS
MA.A.1.3.
4,
MA.A.3.3.
1,
MA.A.3.3.
3,
MA.D.2.3
.1
MA.A.1.3.
4,
MA.A.3.3.
1,
MA.A.3.3.
3,
MA.D.2.3
.1
MA.A.1.3.
4,
MA.A.3.3.
1,
MA.A.3.3.
3,
MA.D.2.3
.1
MA.A.3.3.
1,
MA.A.3.3.
2,
MA.A.4.3.
1
Chapter 6 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
6.1
Divisible, factored,
factors
Understanding Math PLUS
6.2
Prime, composite,
Understanding Algebra
tree diagrams
Topic 3. Patterns, Patterns, Patterns
Factor Pairs in Arrays
Factors of 8, 12, 16, 20, 5, 15, 18
Prime and Composite
Prime Numbers
Composite Numbers
6.3
Common factor,
relatively prime,
greatest common
factor
6.4
Common multiple,
least common
multiple
6.5
Equivalent,
simplest form,
simplifying
Understanding Math PLUS
Understanding Algebra
Topic 3. Patterns, Patterns, Patterns
Common Factors/GCF
Examples 1, 2
DW Test Item(s)
80337
80338, 80343,
80344
80345, 80346
80362, 80363
Understanding Math PLUS
Understanding Fraction
Topic 3. Equivalent Fractions
Equivalent Fractions on a Number Line
Comparison of Fractions
Equivalent Fractions in a Multiplication
Table
One
Equivalent Fractions... The Pattern
550, 80347,
80348,
546,548,3835
547,3878
549,11746,1186
0
34656,34657
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
1
Topic
Rational Numbers and
Decimals
Benchm
arks/SSS
MA.A.1.3.
3,
MA.A.1.3.
4,
MA.A.3.3.
2,
MA.D.2.3
.1
Chapter 6 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
Example Questions
Examples 1, 2, 3
Greatest Common Factor
12 and 18
30 and 40
70 and 42
Simplifying Fractions to Simplest Form
Method 1, 2
6.6
Rational numbers,
rational, irrational
Understanding Math PLUS
Understanding Fraction
Topic 5. Introduction to Decimals
Introduction to Decimals
Tenths and Decimals
Examples 1, 2, 3, 4
Ones and Tenths
Examples 1, 2, 3, 4
Decimals on a Number Line
Examples 1, 2, 3, 4, 5
Place Value
Ones and Tenths 1
Ones and Tenths 2
Tens, Ones and Tenths
Decimals on a Number Line
Hundreds and Tenths
Greater and Less Than
Ones, Tenths, Hundreds, Thousandths
Decimals to Tenths
Examples 1, 2,
Decimals to Hundredths
Examples 1, 2, 3, 4, 5
Decimals to Thousandths
Examples 1, 2, 3, 4, 5
Understanding Place Value
Examples 1, 2, 3, 4
Equivalent Decimals
Examples 1, 2, 3, 4
DW Test Item(s)
16803, 20703,
80312, 80313,
80361, 80364,
80365, 80366
550,10890
551,34661
552,558
553
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
1
Topic
Powers and Exponents
Scientific Notation
Benchm
arks/SSS
MA.A.1.3.
1,
MA.A.1.3.
2,
MA.A.1.3.
4,
MA.A.2.3.
1,
MA.A.3.3.
1,
MA.D.2.3
.1
Chapter 6 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
Comparing Decimals
Examples 1, 2, 3, 4
Understanding Math PLUS
Understanding Exponents
Topic 1. The Meaning of Exponents
Exponents, Powers, Bases
Powerful Explosions
Introductory Examples
Examples 1, 2, 3, 4, 5
Examples – Substitution
Examples 1, 2, 3, 4
Examples – Order of Operation
Examples 1, 2, 3
Practice Questions
6.7
6.8
Scientific Notation
Understanding Math PLUS
Understanding Exponents
Topic 4. Scientific Notation
Why Use Scientific Notation?
Scientific Notation for Large Numbers
Introduction
Chart
The Rule
The Steps
Scientific Notation for Small Numbers
Introduction
Chart
The Steps
Examples
1. Number Question
2. Park Question
3. Sun Question
4. Kitchen Question
Practice Questions
DW Test Item(s)
16781, 16787,
80356,11867,11
899
17526,10885
11774,3881
559,554,560,
561,3795,3838
3924,3967,1088
3,
1089,11763,
17656,13983,
17623,19659
19655,19656,
19657, 19660
20699,34678
34673,34674
34676,20700
34655,34672
34723,596,1677
7
16783,16809
80359,80360
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
1
Exploring Patterns
2
Review and Assessment Ch.
1-6
Total
9
Benchm
arks/SSS
MA.A.5.3.
1,
MA.B.1.3.
3
Chapter 6 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
Understanding Math PLUS
6.9
Understanding Algebra
Topic 3. Patterns, Patterns, Patterns
Introduction... Math is Patterns
Geometric Patterns
Examples 1, 2, 3, 4, 5, 6, 7, 8
Number Patterns
Examples 1, 2, 3, 4, 5, 6
Number and Geometric Patterns
Examples 1, 2
Patterns to Formulas
Examples 1, 2, 3
DW Test Item(s)
20711, 80303
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
1
Topic
Addition and Subtraction of
Like Fractions
Benchm
arks/SS
S
MA.A.3.3
.1,
MA.A.3.3
.2,
MA.A.3.3
.3,
MA.D.2.3
.1
Chapter 7 – 8th Grade Advanced Marth
Section
Vocabulary,
Resources
7.1
Vocabulary
Extensions
Understanding Math PLUS
Understanding Fractions
Topic 7. Adding Fractions
Pattern Blocks
Hexagon 1, 2, 3
Summary
Fraction Strips
Concepts 1, 2
Percent Strips
Examples 1, 2
Decimal Strips
Examples 1, 2
The Clock
Examples 1, 2
Adding Fractions on a Number Line
Examples 1, 2, 3
Topic 8. Subtracting Fractions
Pattern Blocks
Hexagons 1, 2, 3
Summary
The Clock
Examples 1, 2
Fraction Strips
Concepts 1, 2
Percent Strips
Examples 1, 2
Decimal Strips
Examples 1, 2
Subtracting Fractions on a Number Line
Examples 1, 2, 3
DW Test Item(s)
80367, 80368,
80369, 80370
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
1
Topic
Benchm
arks/SS
S
Addition and Subtraction of
Unlike Fractions
Chapter 7 – 8th Grade Advanced Marth
Section
Vocabulary,
Resources
7.2
Like Fractions
Extensions
Understanding Math PLUS
Understanding Fractions
Topic 7. Adding Fractions
The Lowest Common Denominator
Examples 1, 2
Word Problems
Alexander’s Friends
Eating Candy
Goal Scoring
Taking a Walk
Topic 8. Subtracting Fractions
The Lowest Common Denominator
Examples 1, 2
Word Problems
Pedro and Alex Race
Washing the Cars
Planting a Garden
1
Exploring Fractions and
Decimals
MA.A.1.3
.3,
MA.A.1.3
.4,
MA.A.3.3
.2
7.3
Least common
denominator
Understanding Math PLUS
Understanding Fractions
Topic 6. Percents…Fractions…Decimals
Expressing a Percent as a Decimal
Introduction
Examples 1, 2, 3
Number Line #1
Decimal Strips
Concepts 1, 2, 3
Expressing a Decimal as a Percent
Examples 1, 2, 3
Summary and Pattern
% Nitrogen in the Air
Batting Averages
Expressing a Fraction as a Percent
An Example
Method 1
DW Test Item(s)
34721,3930,
14144,14265,
3801,14032
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Benchm
arks/SS
S
Chapter 7 – 8th Grade Advanced Marth
Section
Vocabulary,
Resources
Extensions
DW Test Item(s)
Examples 1, 2
Method 2
Examples 1, 2
Lightning Example
Number Line #2
Chart
Practice Questions
1
Multiplication of Rational
Numbers
MA.A.3.3
.1,
MA.A.3.3
.2,
MA.D.2.3
.1
7.4
Understanding Math PLUS
Understanding Fractions
Topic 9. Multiplying Fractions
Pattern Blocks
Hexagons 1, 2, 3
Fraction Strips
Concepts 1, 2
Word Problems
Boris’ Money
Maria’s Trip
Developing the Rule
Example 1
Example 2
A Summary
The Meaning of “OF”
Order in Multiplying
Examples 1, 2
Multiplying Fractions with Large Numbers
Examples 1, 2
Practice Questions
571, 80371,
80372,573,
11879,11889
5466,3884
3969,13985
14006,34700
34703,34705
20703
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Benchm
arks/SS
S
Chapter 7 – 8th Grade Advanced Marth
Section
Vocabulary,
Resources
Division of Rational Numbers
1
Exploring Percents
7.5
MA.A.1.3
.1,
MA.A.1.3
.2,
MA.A.1.3
.3,
MA.A.1.3
.4,
MA.A.3.3
.1,
MA.A.3.3
.2,
MA.A.3.3
.3,
MA.E.1.3
.1
7.6
Extensions
Understanding Math PLUS
Understanding Fractions
Topic 10. Dividing Fractions
Understanding Division
Recall from Whole Numbers
Introduction
Examples with Diagrams
Soda Pop
Ice Cream
Shape 1
Shape 2
Patterns from Examples
Another Explanation
Examples 1, 2
Examples without Diagrams
Numerical Examples 1, 2
Central High School
Practice Questions
Understanding Math PLUS
Understanding Percent
Topic 5. Percent of a Number
In This Topic
The Concept
Examples
1. Money Example
2. Service Charge
3. Bird Example
4. Marathon Race
5. Freezing
6. Pie Chart
The Bouncing Ball
Grades
What if?
Calculate
Pass or Fail?
Practice Questions
DW Test Item(s)
16784, 16806,
80373, 80374
3970,5688
11900,11901
20730,34701
34707
547
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Percents, Decimals, and
Fractions
Benchm
arks/SS
S
Chapter 7 – 8th Grade Advanced Marth
Section
Vocabulary,
Resources
7.7
Portion, percent
Extensions
Understanding Math PLUS
Understanding Fractions
Topic 6. Percents…Fractions…Decimals
Expressing a Percent as a Decimal
Introduction
Examples 1, 2, 3
Number Line #1
Decimal Strips
Concepts 1, 2, 3
Expressing a Decimal as a Percent
Examples 1, 2, 3
Summary and Pattern
% Nitrogen in the Air
Batting Averages
Expressing a Fraction as a Percent
An Example
Method 1
Examples 1, 2
Method 2
Examples 1, 2
Lightning Example
Number Line #2
Chart
Practice Questions
DW Test Item(s)
558,551,10886,11
946,
14016,17627,206
88
34650,34659,346
62,
34665,3466,
16819,
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
1
Topic
Finding a Percent of a
Number
Problem Solving with
Percents
Benchm
arks/SS
S
MA.A.1.3
.1,
MA.A.1.3
.4,
MA.A.3.3
.1,
MA.A.3.3
.2,
MA.A.3.3
.3,
MA.A.3.4
.1,
MA.D.1.3
.2,
MA.D.2.3
.1,
MA.D.2.3
.2
Chapter 7 – 8th Grade Advanced Marth
Section
Vocabulary,
Resources
Extensions
7.8
Understanding Math PLUS
Understanding Percent
Topic 5. Percent of a Number
In This Topic
The Concept
Examples
1. Money Example
2. Service Charge
3. Bird Example
4. Marathon Race
5. Freezing
6. Pie Chart
The Bouncing Ball
Grades
What if?
Calculate
Pass or Fail?
Practice Questions
7.9
Understanding Math PLUS
Understanding Percent
Topic 6. Problems Involving Percent
In This Topic
Steps in Solving Problems
Finding the Whole
Recall Proportion
School Population: Method 1... Using
Proportions
School Population: Method 2
Grades Problem: Method 1... Using
Proportions
Grades Problem: Method 2
Bike Sale: Method 1... Using Proportions
Bike Sale: Method 2
Finding the Percent
Theatre Problem
DW Test Item(s)
705, 16786,
16816, 16817,
19699, 68452
20693
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Benchm
arks/SS
S
Chapter 7 – 8th Grade Advanced Marth
Section
Vocabulary,
Resources
Extensions
Car Problem
Percent of a Number
Earnings Problem
Nickel Ore
SpringBoard, MSii: Nothing But Net
2
Total
8
Review and Assessment Ch.
1-7
DW Test Item(s)
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
2
Exploring Rates and Ratios
Solving Proportions
Benchm
arks/SS
S
MA.A.1.3
.1,
MA.A.1.3
.2,
MA.A.3.3
.2,
MA.A.3.3
.3,
MA.B.1.3
.2,
MA.D.1.3
.1
Chapter 8 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
Extensions
DW Test Item(s)
8.1
Rate, ratio
Understanding Math PLUS
Understanding Percent
Topic 4. Ratios and Proportions
Ratios in the News
What is a Ratio?
Examples
1.Fraction Strip
2.Balls
3.Students
4.Gears
Writing Ratios
Concept
Examples 1, 2, 3, 4
548,556,586
3799,3928,16810
11947,14018
17626,17655,14147
586,13992,5462,347
53
34754,34755,34782
11483,19691
8.2
Proportion, cross,
product property,
similar, similar
triangles,
corresponding
sides
Understanding Math PLUS
Understanding Percent
Topic 4. Ratios and Proportions
What is a Proportion?
Proportions
Example 1
Example 2 – Lemonade
Example 3 – Marbles
Example 4 – Trout
Example 5 – Tree Height
Example 6 – Map
Example 7 – Scale Drawing
556, 80294
CBL, Real World Math:
Lab #7, Mix It Up
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Benchm
arks/SS
S
Chapter 8 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
Problem Solving Using
Proportions
2
Solving Percent Equations
Problem Solving Using
Percents
Understanding Math PLUS
Understanding Percent
Topic 4. Ratios and Proportions
What is a Proportion?
Proportions
Example 1
Example 2 – Lemonade
Example 3 – Marbles
Example 4 – Trout
Example 5 – Tree Height
Example 6 – Map
Example 7 – Scale Drawing
8.3
MA.A.1.3
.4,
MA.A.3.3
.1,
MA.A.3.3
.2,
MA.A.3.3
.3,
MA.A.4.3
.1,
MA.D.1.3
.2,
MA.D.2.3
.1,
MA.D.2.3
.2
8.4
8.5
Extensions
Base of a Percent
Discount, discount
percent
Understanding Math PLUS
Understanding Percent
Topic 6. Problems Involving Percent
In This Topic
Steps in Solving Problems
Finding the Whole
Recall Proportion
School Population: Method 1... Using
Proportions
School Population: Method 2
Grades Problem: Method 1... Using
Proportions
Grades Problem: Method 2
Bike Sale: Method 1... Using Proportions
Bike Sale: Method 2
Finding the Percent
Theatre Problem
Car Problem
Percent of a Number
Earnings Problem
Nickel Ore
DW Test Item(s)
600,16812,
80333,80334,80335
80376,68504
19674,34712
14257,11949
14165, 68504,34900
17525
19686,11951,11948
568,19665,570
34719,3887,19666,
19546,10943,5516
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Benchm
arks/SS
S
Exploring Percent of Increase
or Decrease
1
Exploring Probability
MA.A.1.3
.4,
MA.A.3.3
.2,
MA.E.2.3
.1,
MA.E.2.3
.2
Chapter 8 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
Extensions
DW Test Item(s)
8.6
Percent of
increase, Percent
of decrease
Understanding Math PLUS
Understanding Percent
Topic 3. Fraction/Decimal to Percent
Percent Change
Percent Increase
Percent Decrease
Percent Increase or Decrease
565, 16778,34727
10942,17658,34714
5463,17624
5.8
Probability of an
event
Understanding Math PLUS
Understanding Probability
Topic 2. What’s the Chance?
Probability Examples
1. Coin Toss
2. Picking One Ball
3. Picking Two Balls
4. Travel Example
5. Number Example
6. Rabbit Example
7. Mailing Letters
8. Forest
9. Ahmed’s Maze
701, 68495, 68505,
34905,17682,701,38
73
3916,14146,14169,1
7681
13971,13998
3490,3588
This section is from chapter 5
SpringBoard, MSii:
Toss Up
1
Omit
The Counting Principle
Probability and Simulations
MA.A.1.3
.4,
MA.E.2.3
.2
MA.A.3.3
.2,
MA.A.4.3
.1,
MA.E.2.3
.1,
MA.E.3.3
8.7
Counting Principle
68495, 80280,3588
16241
8.8
68503
SpringBoard, MSii: Double the Fun
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
2
Review and Assessment Ch.
1-8
Total
8
Benchm
arks/SS
S
.1
Chapter 8 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
Extensions
DW Test Item(s)
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Day
s
1
Topic
Exploring Square Roots
Benchmark
s/SSS
MA.A.1.3.1,
MA.A.1.3.2,
MA.A.1.3.3,
MA.A.1.3.4,
MA.A.4.3.1
The Real Number System
Chapter 9 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
Understanding Math PLUS
9.1
Understanding Exponents
Topic 5. Square Root
Squaring Numbers
Square Roots
Radical Signs
Square Roots of Negative Numbers
Example Questions
1. Radicals First
2. The Four Equations
3. Lawn Question
4. Make a Square
Practice Questions
9.2
Real Numbers
SpringBoard, Alg I: Sorting it All Out
2
The Pythagorean Theorem
Problem Solving Using the
Pythagorean Theorem
MA.A.1.3.4,
MA.B.3.3.1,
MA.C.1.3.1,
MA.C.3.3.1,
MA.D.1.3.1,
MA.D.1.3.2,
MA.D.2.3.1
9.3
9.4
Right angle, legs,
hypotenuse,
isosceles triangle,
Pythagorean
theorem,
Pythagorean triple,
solving a right
triangle
Understanding Math PLUS
Understanding Exponents
Topic 6. Pythagorean Theorem
The Right Triangle
Math or Magic?
Introduction
Omar’s Rope Trick #1, #2
Our Rope Trick
Squares on a Grid
Examples 1, 2, 3, 4
Squares on the Sides of a Right
Triangle
Triangles 1, 2, 3
The Pythagorean Theorem
The Pattern
In General
Theorem
Example Questions
DW Test Item(s)
3921,14250
11749,34651
34652,34737
16841,17483,34658
546
610
20717,34825
763,34827
764,5450
610,17666
34794,34805
34806,14139
14223,17635,610
11315,11339
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Day
s
Topic
Benchmark
s/SSS
Chapter 9 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
Example 1... Pole Example
Example 2... Tower Example
Example 3... Walking Example
Example 4... Lake Example
Example 5... Geometric Example
DW Test Item(s)
Sections 9.3 and 9.4 should be
covered before FCAT
SpringBoard, MSii
Stop the Presses
1
Graphing Inequalities
MA.D.1.3.2,
MA.D.2.3.1,
MA.D.2.3.2
9.5
1
Solving Inequalities:
Multiplying and Dividing
MA.D.2.3.1,
MA.D.2.3.2
9.6
1
Solving Multi-Step Inequalities
MA.D.1.3.1,
MA.D.1.3.2,
MA.D.2.3.1,
MA.D.2.3.2
9.7
http://score.kings.k12.ca.us/lessons/
pytha.html
(Gifted)
Understanding Math PLUS
Understanding Equations
Topic 7. Solving Inequalities
Graphing Linear Inequalities in Two
Variables
Concepts 1, 2
Examples 1, 2, 3
Understanding Math PLUS
Understanding Equations
Topic 7. Solving Inequalities
Solving Inequalities
Examples 1, 2, 3, 4, 5, 6
Understanding Math PLUS
Understanding Equations
Topic 7. Solving Inequalities
Solving Inequalities
Examples 1, 2, 3, 4, 5, 6
80304, 80305,
6854,3910
34877,34868,34875,34876
34325,34862,34864,20734,
20735,
34315,14762,19580
3862,11467,11468,3473,34
75,
3819,3948,3991
20734,20735,19690
80310,
19690,34878,68543
16769, 16770
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Day
s
1
2
Tota
l
9
Topic
The Triangle Inequality
Review and Assessment Ch.
1-9
Benchmark
s/SSS
MA.C.1.3.1
Chapter 9 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
9.8
Triangle inequality
Extensions
DW Test Item(s)
16468
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
1
Exploring Points, Lines, and
Planes
Benchmarks
/SSS
MA.C.1.3.1,
MA.C.2.3.1
Naming, Measuring, and
Drawing Angles
1
Exploring Parallel Lines
Symmetry
MA.C.1.3.1,
MA.C.2.3.1
Chapter 10 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
Understanding Math PLUS
10.1
Points, line, plane,
Understanding Measurement and Geometry
ray, line segment,
Topic 5. Angles and their Measure
congruent
segments, parallel,
In This Topic
intersection
Lines and Rays
DW Test
Item(s)
10.2
vertex, angle
measure,
congruent angles,
acute angle, right
angle, obtuse
angle, straight
angle,
perpendicular,
complementary,
supplementary
Understanding Math PLUS
Understanding Measurement and Geometry
Topic 5. Angles and their Measure
Angles... An Introduction
The Degree
Classifying Angles
Classifications
Memory Game
Measuring Angles
Practice Questions
17668,19679,54
44
34750,19697,19
677
5543,19679,141
24,
34798,17605,11
285,
14173,34749,11
287
11337,14135,13
988
14148
10.3
Vertical angles,
corresponding
angles
Understanding Measurement and Geometry
Topic 6. Angles and Polygons
In This Topic
Parallel Lines
Example with Parallel Lines
Examples 1, 2
10.4
Line symmetry,
rotational symmetry
Understanding Math PLUS
Understanding Graphing
Line of Symmetry - An Introduction
Introduction
Examples 1, 2, 3, 4
Symmetry Match
Puzzle 1, 2
16462, 17512
17634,19688,38
13
3856,19559,389
9
3985,11286,196
81
3943,3986
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Benchmarks
/SSS
Chapter 10 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
Extensions
DW Test
Item(s)
19677,5959
19680,13911,
758,14170,1955
5
14255,17606,17
665
17669,34789,75
8
627, 16684
20695,17640,17
670,
1
Exploring Triangles
MA.C.1.3.1
10.5
Scalene, right,
isosceles, acute,
equilateral, obtuse,
and equiangular
triangles
Understanding Math PLUS
Understanding Measurement and Geometry
Topic 6. Angles and Polygons
Angles in Triangles
Exploration
An Explanation
Exterior Angles – Example
1
Exploring Quadrilaterals
MA.C.1.3.1
10.6
Convex
Understanding Math PLUS
Understanding Measurement and Geometry
Topic 2. Perimeter and Area of Polygons
A Quadrilateral is
Polygons and Congruence
MA.B.2.3.1,
MA.C.1.3.1,
MA.C.2.3.1,
MA.C.3.3.1
MA.C.1.3.1,
MA.C.2.3.1
10.7
Regular Polygons
10.8
Interior angles,
exterior angles
MA.C.1.3.1,
MA.C.2.3.1
10.9
1
Angles of Polygons
1
Angle and Side Relationships
2
Review and Assessment Ch.
1-10
Total
8
Understanding Math PLUS
Understanding Measurement and Geometry
Topic 6. Angles and Polygons
Angles in Polygons
Methods 1, 2
Exterior Angles in a Polygon
Understanding Math PLUS
Understanding Measurement and Geometry
Topic 6. Angles and Polygons
Angles in Polygons
Methods 1, 2
Exterior Angles in a Polygon
605, 16427
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Benchmarks/SSS
Chapter 11 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
Understanding Math PLUS
11.1
Height of a
Understanding Measurement
parallelogram,
and Geometry
base of a
Topic 2. Perimeter and Area of
parallelogram,
Polygons
height of a
trapezoid, bases of Relationship – Area and Perimeter
a trapezoid
The Information
The Graph
Given Area and Perimeter –
Create Shape
Example 1
Example 2
Example 3
Example 4
Problems Section
Length of Fence
Area of a Wall
The Tablecloth
1
Area and Perimeter
MA.B.1.3.3,
MA.C.1.3.1
1
1
Exploring Congruence
Line Reflections
MA.C.2.3.1
MA.C.2.3.1
11.2
11.3
1
Rotations
MA.C.2.3.1
11.4
Transformation,
rotation
1
Translations
MA.C.2.3.1
11.5
Translation
Reflection,
reflection line
Understanding Math PLUS
Understanding Graphing
Topic 4. Transformations
Reflections - An Introduction
Flip #1, #2, #3
Translations
Object to Image
We Say
We Write
Reflection Mapping Rule
Examples
Examples 1, 2, 3
DW Test Item(s)
16788, 16789, 16790, 16791,
16832, 16833, 16838, 80323,
80324, 80332, 80349
13993,34726,20723
34722,34762,34766,34675
34156,34708,19668,19673
17633,17654,34759
14009,14129,14162,14264
34760,591,592,752
3797,13937,13962,13993
11253,3840,3883,3926,20723
19668,582,
(perimeter 34747, 34748
13968,3516)
14126,34803
3857,3900,11324,3814
3816,3462,17518,34800,13335
19683,3323,3376
11277,17637,34269
13586,17667,34802
34809
14061,34799,3432,14005
SpringBoard, MSii: One, Two,
Three… Red Light
1
Exploring Similarity
MA.A.3.3.2,
11.6
Similar, scale
592, 16825
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
1
Problem Solving Using
Similar Figures
1
Trigonometric Ratios
1
Problem Solving Using
Trigonometric Ratios
2
Review and
Assessment Ch. 1-11
Total
11
Benchmarks/SSS
MA.A.3.3.3,
MA.B.1.3.4,
MA.B.2.3.1,
MA.B.3.3.1,
MA.C.2.3.1
MA.A.3.3.2,
MA.B.2.3.1,
MA.C.1.3.1,
MA.C.2.3.1,
MA.C.3.3.1
MA.A.1.3.4,
MA.B.3.3.1,
MA.C.1.3.1,
MA.C.3.3.1
MA.A.1.3.4,
MA.B.3.3.1,
MA.C.1.3.1,
MA.C.3.3.1
Chapter 11 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
factor, dilation
11.7
11.8
DW Test Item(s)
(see lesson 11.7 DW
questions)
11258,11341
3989,5558
3860,3903
34808,34882
14276,17638
13976,14123
17659,20728
Trigonometric
ratio, sine, cosine,
tangent
Sections 11.8 and 11.9 can be
delayed until after FCAT
11.9
Area of complex figures:
34742,19670,34739
13591,17660,17662
17663,34743,34745
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
1
Circle Relationships
1
Polyhedrons and Other
Solids
Exploring Surface Area of
Prisms and Cylinders
Benchmarks/S
SS
MA.B.1.3.3,
MA.C.1.3.1
MA.B.1.3.1,
MA.B.1.3.3,
MA.C.1.3.1
Chapter 12 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
12.1
Diameter, radius,
center,
circumference
12.2
12.3
Polyhedron,
prisms, faces,
pyramids, edges,
net, vertices
Surface area
Extensions
Understanding Math PLUS
Understanding Measurement and
Geometry
Topic 4. Solids…Volume and Surface
Area
Classifying Solids
A Solid is...
Recall Polygons
A Polyhedron is...
A Prism is...
Some Special Pyramids
A Cylinder is...
A Cone is...
Platonic Solids
http://www.beaconlearningcenter.com/Les
sons/11510.htm (Gifted)
Understanding Math PLUS
Understanding Measurement and
Geometry
Topic 4. Solids…Volume and Surface
Area
Surface Area of a Solid
The Concept
Surface Area of a Pyramid
Surface Area of a Cylinder
SpringBoard, MSii:
All Boxed Up
DW Test Item(s)
34765,34256,17629,
14157,34764,14134,
13997,10899,10941,
11192,589,16469
20704,34793,34797,
34796,14140
14252,20705
594, 16611, 16792
34795,17630,19671,3
4740
3946,
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
1
Topic
Exploring Volumes of
Prisms
Benchmarks/S
SS
MA.B.1.3.1,
MA.B.1.3.3,
MA.C.1.3.1
Exploring Volumes of
Cylinders
Chapter 12 – 8th Grade Advanced Math
Section
Vocabulary,
Extensions
Resources
12.4
Volume, cubic units Understanding Math PLUS
Understanding Measurement and
Geometry
Topic 4. Solids…Volume and Surface
Area
Volume of a Solid
The Concept
Volume of a Prism: Examples 1, 2
12.5
DW Test Item(s)
16050,3891,3848,
13970,34767,34768,
34746,34763,11196
34741,13943,20704
34669
Understanding Math PLUS
Understanding Measurement and
Geometry
Topic 4. Solids…Volume and Surface
Area
Volume of a Cylinder
16839,34761,34744
3977,17661,3934,
3805,10963
1
Exploring Volumes of
Pyramids and Cones
MA.B.1.3.1,
MA.B.1.3.3,
MA.C.1.3.1
12.6
Tetrahedron
Understanding Math PLUS
Understanding Measurement and
Geometry
Topic 4. Solids…Volume and Surface
Area
Volume of a Pyramid
Volume of a Cone
16604, 16794, 16835
17632
1
Exploring Volumes of
Spheres
MA.B.1.3.1,
MA.B.1.3.3,
MA.C.1.3.1
12.7
Hemispheres
Understanding Math PLUS
Understanding Measurement and
Geometry
Topic 4. Solids…Volume and Surface
Area
Volume of a Sphere
16795
1
Exploring Similar Solids
MA.B.2.3.1,
MA.C.1.3.1,
MA.C.2.3.1,
MA.C.3.3.1
12.8
2
Review and Assessment
Ch. 1-12
Total
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
8
Topic
Benchmarks/S
SS
Chapter 12 – 8th Grade Advanced Math
Section
Vocabulary,
Resources
Extensions
DW Test Item(s)
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
1
Linear Equations
in Two Variables
Benchmarks/S
SS
MA.C.3.3.2,
MA.D.1.3.1,
MA.D.1.3.2,
MA.D.2.3.1
Exploring Graphs
of Linear
Equations
1
1
Exploring
Intercepts of
Graphs
Exploring Slope
Section
13.1
Chapter 13 – 8th Grade Advanced Math
Vocabulary,
Extensions
Resources
Understanding Math PLUS
Linear Equation
Understanding Graphing
Topic 8. Equation on a Straight Line
Graph y = mx + b
Examples 1, 2, 3, 4
Patterns to Summary
Examples 5, 6, 7
Slope y - intercept Equation
Concept
Examples 1, 2, 3, 4
Section 13.1
CBL, Real World Math: Lab #2, Making Sense with
Math
SpringBoard, MSii: The Media Center
13.2
MA.B.1.3.2,
MA.D.1.3.1,
MA.D.1.3.2,
MA.D.2.3.1
MA.A.3.3.2,
MA.B.1.3.2,
MA.C.3.3.2,
MA.D.1.3.1,
MA.D.1.3.2,
MA.D.2.3.1
13.3
x-intercept, yintercept
Section 13.4
CBL, Real World Math: Lab #13, Velocity Test
DW Test
Item(s)
34848,34856,34
857,
131194,5514,14
001,
14258,14263,17
551,
17672,19685,34
839,
34845,14258,20
711
616
17671,34843,34
847
34853,34854
760,3818,3904
Sections 13.1 -13.4 should be covered before FCAT
13.4
Slope
http://score.kings.k12.ca.us/lessons/growth.html
(Gifted)
16346, 16785,
16796, 16814,
16823, 16831
20718,756
17641,11331,11
349
11366,34831,34
833
34835,34836,34
855
34838,17674,34
858
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
1
The SlopeIntercept Form
Benchmarks/S
SS
MA.B.1.3.2,
MA.D.1.3.1,
MA.D.1.3.2,
MA.D.2.3.1
1
Problem Solving
with Linear
Equations
MA.B.1.3.2,
MA.C.3.3.2,
MA.D.1.3.2
Section
13.5
13.6
Chapter 13 – 8th Grade Advanced Math
Vocabulary,
Extensions
Resources
Understanding Math PLUS
Slope-Intercept
Understanding Graphing
Topic 8. Equation on a Straight Line
Graph y = mx + b
Examples 1, 2, 3, 4
Patterns to Summary
Examples 5, 6, 7
Slope y - intercept Equation
Concept
Examples 1, 2, 3, 4
Linear Relationship
Understanding Math PLUS
Understanding Graphing
Topic 8. Equation on a Straight Line
Slope – Point Form of the Equation
Example 1: Solutions 1, 2
Example 2: Solutions 1, 2, 3, 4
Special Cases
Example 1 – Zero Slope
Example 2 – Undefined
Example to Summarize
Word Problems/ Applications
The Taxi
Cases 1, 2
Find Equation
Graph Equation
Interpret Equation
Summary
The Walker
Basketball
Food
Point of Intersection of Two Lines
Examples 1, 2
CBL, Real World Math: Lab #9, Stretch It to the Limit
DW Test
Item(s)
16830, 17520
756, 757, 16824
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
1
Graphs of Linear
Inequalities
1
The Distance
and Midpoint
Formulas
2
Review and
Assessment Ch.
1-13
Benchmarks/S
SS
MA.D.1.3.2
Section
13.7
Chapter 13 – 8th Grade Advanced Math
Vocabulary,
Extensions
Resources
Understanding Math PLUS
Linear Inequality,
Understanding Equations
solution of a linear
Topic 7. Solving Inequalities
inequality, half plane
Graphing Linear Inequalities in Two Variables
Concepts 1, 2
Examples 1, 2, 3
Solving Systems of Linear Inequalities by Graphing
Examples 1, 2
DW Test
Item(s)
16688
SpringBoard, Alg I: A Tale of a Trucker
Total
9
MA.A.1.3.4,
MA.B.1.3.2,
MA.B.3.3.1,
MA.C.3.3.1
13.8
Distance formula,
midpoint
16815, 16306
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
1
Topic
Measures of
Central
Tendency
Benchmarks/SSS
MA.A.1.3.2,
MA.E.1.3.2
Chapter 14 – 8th Grade
Vocabulary,
Resources
14.1
Mean (average),
median, mode,
measure of central
tendency
Section
Advanced Math
Extensions
Understanding Math PLUS
Understanding Graphing
Topic 2. Statistics
Presenting Data
Stem-and-Leaf Diagram
Example 1... Ages of Fans
Example 2... Heights of Students
Measures of Central Tendency
Introduction
The Mean Average
The Median average
The Mode
Summary
Another Example
Adding Data Points
Box and Whisker Plots
Concepts
Examples 1, 2
Sections 14.1 through 14.3 should be covered before
FCAT
1
1
Stem-and-Leaf
Plots
Box-andWhisker Plots
Exploring Data
and Matrices
MA.E.1.3.2
14.2
Stem-and-Leaf plot
14.3
Quartile, box-andwhisker plot
14.4
Matrix, add
matrices, entries,
subtract matrices,
equal matrices
DW Test
Item(s)
34898,34921,34
923,34891,1764
8
34889,34890,34
893,34895,3489
6
17649,17680,19
695,19701,1970
2
20726,14253,17
647,17648
11531,11549,11
552,13969
14145,645,3828
3871,3914,3957
,4000
5541,639,640
641,19701,8031
8
80319,80320
17649
17677,34924,18
83
34892,14011,34
894
80244,80738
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Benchmarks/SSS
1
Exploring
Polynomials
MA.D.2.3.1,
MA.D.2.3.2
1
Adding and
Subtracting
Polynomials
MA.D.2.3.1,
MA.D.2.3.2
Chapter 14 – 8th Grade Advanced Math
Vocabulary,
Extensions
Resources
Understanding Math PLUS
14.5
Polynomial,
Understanding Algebra
standard form
Topic 4. Patterns, Formulas, Substitution
Substitution is... Math Scrabble
Scrabble 1, 2, 3
Challenge
Substitution Examples
Examples 1, 2, 3, 4 Practice Questions
Section
14.6
Sum of
polynomials, add
polynomials, degree
of a polynomial
Understanding Math PLUS
Understanding Algebra
Topic 5. Adding Expressions
Our Problem
Adding Expressions with X and Y Tiles
Examples 1, 2, 3
Adding Expressions with X-Squared Tiles
Examples 1, 2, 3
Adding Expressions without Tiles
Examples 1, 2
Practice Questions with Tiles
Practice Questions without Tiles
Topic Test
Topic 6. Subtracting Expressions
Our Problem
Subtracting Expressions with X and Y Tiles
Concept
Examples 1, 2
Subtracting Expressions with X-Squared Tiles
Examples 1, 2
Subtracting Expressions without Tiles
Practice Questions with Tiles
Practice Questions without Tiles
DW Test
Item(s)
16068, 16069,
1046, 1051,
1177, 1178,
1179
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
1
Topic
Multiplying
Polynomials
1
More About
Multiplying
Polynomials
2
Review and
Assessment Ch.
1-14
Total
9
Benchmarks/SSS
MA.A.2.3.1
MA.A.2.3.1
Chapter 14 – 8th Grade Advanced Math
Vocabulary,
Extensions
Resources
Understanding Math PLUS
14.7
Understanding Algebra
Topic 7. Multiplying Expressions
Our Problem
Recall Tile Concepts
Multiplying Monomials
Like Terms
With Tiles
Without Tiles
Multiplying Monomials and Polynomials
With Tiles... Examples 1, 2, 3, 4
Without Tiles
Section
14.8
SpringBoard, Alg I:
Tri-Com computers
Understanding Math PLUS
Understanding Algebra
Topic 7. Multiplying Expressions
Our Problem
Recall Tile Concepts
Multiplying Monomials
Like Terms
With Tiles
Without Tiles
Multiplying Monomials and Polynomials
With Tiles... Examples 1, 2, 3, 4
Without Tiles
DW Test
Item(s)
16062, 16071
1937, 1968,
96671
16072, 16074
Curriculum and Pacing Guide
Revised May 2007
Course # 1205080: 8th Grade Advanced Math
Days
Topic
Graphing
Quadratic
Functions
Benchmarks/SSS
MA.D.1.3.1,
MA.D.1.3.2,
MA.D.2.3.1,
MA.D.2.3.2
Section
None
Chapter 14 – 8th Grade Advanced Math
Vocabulary,
Extensions
Resources
Understanding Math PLUS
Non-linear,
Quadratic functions Understanding Graphing
Topic 9. Quadratic Equations
Introductory Examples
Examples 1, 2
Summary Examples 1, 2
Definitions
Parabolas
Quadratic Functions
The Role of a
The Plan: a = 1, 2, 3
a = -1, -2, -3
Parabolas with the Same Width
Summary
The Role of c
The Plan: Increase c
Summary
The Role of b
Examples 1, 2, 3, 4
Summary and Pattern
In General
Intercepts of a Quadratic Function
Method 1: Graphing... Examples 1, 2
Method 2: Factoring (If Possible)... Examples 1, 2
Method 3: Using the Quadratic Formula... Examples
1, 2
CBL, Real World Math: Lab #11, That’s the Way the
Ball Bounces
DW Test
Item(s)