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A Correlation of

Connected Mathematics Project 3 ©2014

To the

Nebraska Mathematics Standards

Grades 6-8

A Correlation of Connected Mathematics Project 3, ©2014 to the Nebraska Mathematics Standards

Copyright ©2014 Pearson Education, Inc. or its affiliate(s). All rights reserved

Introduction This document demonstrates how Connected Mathematics Project 3 (CMP3), ©2014 meets the Nebraska Mathematics Standards, grades 6-8. Correlation references are to the lessons of the Student and Teacher’s Editions. The goal of Connected Mathematics Project 3 is to help students develop mathematical knowledge, conceptual understanding, and procedural skills, along with an awareness of the rich connections between math topics—across grades and across Common Core content areas. Through the “Launch-Explore-Summarize” model, students investigate and solve problems that develop rigorous higher-order thinking skills and problem-solving strategies. Curriculum development for CMP3 has been guided by an important mathematical idea: All students should be able to reason and communicate proficiently in mathematics. They should have knowledge of and skill in the use of the vocabulary, forms of representation, materials, tools, techniques, and intellectual methods of mathematics. This includes the ability to define and solve problems with reason, insight, inventiveness, and technical proficiency. CMP3 uses technology to help teachers implement with fidelity, thus raising student achievement. Easy-to-use mobile tools help with classroom management and capture student work on the go. ExamView® delivers a full suite of assessment tools, and MathXL® provides individualized skills practice. 21st century social networking technology connects CMP3 teachers, while students benefit from interactive digital student pages that allow for instantaneous sharing and effective group work.


Copyright ©2014 Pearson Education, Inc. or its affiliate(s). All rights reserved

Table of Contents

Grade 6 ................................................................................................ 1 Grade 7 ................................................................................................ 9 Grade 8 .............................................................................................. 14


1

Nebraska 6th Grade Mathematics Standards


Grade 6 NUMBER SYSTEM MA 6.1.1 Number System: Students will represent and show relationships among positive rational numbers and integers. Indicator MA 6.1.1.b Compare and order positive and negative integers

CMP3 Grade 6 Comparing Bits and Pieces: 3.1: Extending the Number Line; 3.2: Estimating and Ordering Rational Numbers; 3.4: Decimals on the Number Line

Indicator MA 6.1.1.d Represent large numbers using exponential notation MASTERY NOT EXPECTED

CMP3 Grade 6 Prime Time: Factors and Multiples: 3.2: Finding the Longest Factor String; 3.3: Using Prime Factorizations; 3.4: Unraveling the Locker Problem Covering and Surrounding: 4.2: Filling the Boxes; 4.3: Designing Gift Boxes

Indicator MA 6.1.1.e Identify the prime factorization of numbers

CMP3 Grade 6 Prime Time: Factors and Multiples: 1.1: Playing the Factor Game; 1.2: Playing to Win; 1.3: The Product Game; 1.4: Rectangles and Factor Pairs

MA 6.1.2 Operations: Students demonstrate the meaning of arithmetic operations with positive fractions and decimals. Indicator MA 6.1.2.a Use drawings, words, and symbols to explain the meaning of addition and subtraction of fractions

CMP3 Grade 6 Let’s Be Rational: 1.1: Getting Close; 1.2: Estimating Sums and Differences; 1.3: Land Sections; 1.4: Visiting the Spice Shop; 4.1: Just the Facts; 4.3: Becoming an Operations Sleuth

Indicator MA 6.1.2.b Use drawings, words, and symbols to explain the meaning of addition and subtraction of decimals

CMP3 Grade 6 Decimal Operations: 2.1: Getting Things in the Right Place; 2.2: What’s the Difference?; 2.3: Connecting Operations; 4.1: What’s the Tax on This Item?; 4.2: Computing Tips; 4.3: Percent Discounts; 4.4: Putting Operations Together


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MA 6.1.3 Computation: Students will compute fluently and accurately using appropriate strategies and tools. Indicator MA 6.1.3.a Multiply and divide positive rational numbers

CMP3 Grade 6 Let’s Be Rational: 2.1: How Much of the Pan Have We Sold?; 2.2: Modeling Multiplication Situations; 2.3: Changing Forms; 3.1: Preparing Food; 3.2: Into Pieces; 3.3: Sharing a Prize; 3.4: Examining Algorithms for Dividing Fractions; 4.2: Multiplication and Division Fact Families; 4.3: Becoming an Operations Sleuth Decimal Operations: 3.1: It’s Decimal Time(s); 3.2: It Works Every Time; 3.3: How Many Times?; 3.4: Going the Long Way; 3.5: Challenging Cases; 4.1: What’s the Tax on This Item?; 4.2: Computing Tips; 4.3: Percent Discounts; 4.4: Putting Operations Together

Indicator MA 6.1.3.b Select and apply the appropriate method of computation when problem solving

CMP3 Grade 6 Prime Time: Factors and Multiples: 1.1: Playing the Factor Game; 1.2: Playing to Win; 1.3: The Product Game; 1.4: Rectangles and Factor Pairs; 2.1: Riding Ferris Wheels; 2.2: Looking at Cicada Cycles; 2.3: Bagging Snacks; 3.1: The Product Puzzle; 3.2: Finding the Longest Factor String; 3.3: Using Prime Factorizations; 3.4: Unraveling the Locker Problem Let’s Be Rational: 1.1: Getting Close; 1.2: Estimating Sums and Differences; 1.3: Land Sections; 1.4: Visiting the Spice Shop; 2.1: How Much of the Pan Have We Sold?; 2.2: Modeling Multiplication Situations; 2.3: Changing Forms; 3.1: Preparing Food; 3.2: Into Pieces; 3.3: Sharing a Prize; 3.4: Examining Algorithms for Dividing Fractions; 4.1: Just the Facts; 4.2: Multiplication and Division Fact Families; 4.3: Becoming an Operations Sleuth


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(Continued) Indicator MA 6.1.3.b Select and apply the appropriate method of computation when problem solving

Decimal Operations: 1.1: Out to Lunch; 1.2: Getting Close; 1.3: Take a Hike; 2.1: Getting Things in the Right Place; 2.2: What’s the Difference?; 2.3: Connecting Operations; 3.1: It’s Decimal Time(s); 3.2: It Works Every Time; 3.3: How Many Times?; 3.4: Going the Long Way; 3.5: Challenging Cases; 4.1: What’s the Tax on This Item?; 4.2: Computing Tips; 4.3: Percent Discounts; 4.4: Putting Operations Together

MA 6.1.4 Estimation: Students will estimate and check reasonableness of answers using appropriate strategies and tools. Indicator MA 6.1.4.a Use appropriate estimation methods to check the reasonableness of solutions for problems involving positive rational numbers

CMP3 Grade 6 Let’s Be Rational: 1.1: Getting Close; 1.2: Estimating Sums and Differences; 1.3: Land Sections; 1.4: Visiting the Spice Shop Decimal Operations: 1.1: Out to Lunch; 1.2: Getting Close; 1.3: Take a Hike

GEOMETRIC/MEASUREMENT CONCEPTS MA 6.2.2 Coordinate Geometry: Students will identify locations using coordinate geometry. Indicator MA 6.2.2.a Identify the ordered pair of plotted point in the coordinate plane

CMP3 Grade 6 Covering and Surrounding: 2.1: Triangles on Grids; 3.4: Polygons on Coordinate Grids Variables and Patterns: 1.1: Getting Ready to Ride; 1.2: From Atlantic City to Lewes; 1.3: From Lewes to Chincoteague Island; 1.4: From Chincoteague to Colonial Williamsburg

MA 6.2.4 Spatial Modeling: Students will use visualization of geometric models to solve problems. Indicator MA 6.2.4.a Identify two-dimensional drawings of three-dimensional objects

CMP3 Grade 6 Covering and Surrounding: 4.1: Making Rectangular Boxes; 4.2: Filling the Boxes; 4.3: Designing Gift Boxes


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MA 6.2.5 Measurement: Student will apply appropriate procedures, tools, and formulas and determine measurements. Indicator MA 6.2.5.d Determine the perimeter of polygons

CMP3 Grade 6 Covering and Surrounding: 1.1: Designing Bumper-Car Rides; 1.2: Building Storm Shelters; 1.3: Fencing In Spaces; 2.1: Triangles on Grids; 2.4: Designing Triangles Under Constraints; 3.1: Parallelograms and Triangles; 3.3: Designing Parallelograms; 3.4: Polygons on Coordinate Grids

Indicator MA6.2.5.e Determine the area of parallelograms and triangles

CMP3 Grade 6 Covering and Surrounding: 2.3: Making Families of Triangles; 2.4: Designing Triangles Under Constraints; 3.1: Parallelograms and Triangles; 3.2: Making Families of Parallelograms; 3.3: Designing Parallelograms; 3.4: Polygons on Coordinate Grids

Indicator MA 6.2.5.f Determine the volume of rectangular prisms MASTERY NOT EXPECTED

CMP3 Grade 6 Covering and Surrounding: 4.2: Filling the Boxes; 4.3: Designing Gift Boxes

ALGEBRAIC CONCEPTS MA 6.3.1 Relationships: Students will represent, analyze, and use relationships to make generalizations. Indicator MA 6.3.1.a Describe and create simple algebraic expressions from words and tables

CMP3 Grade 6 Variables and Patterns: 3.1: Visit to Wild World; 3.2: Moving, Texting, and Measuring; 3.3: Group Discounts and a Bonus Card; 3.4: Getting the Calculation Right; 4.1: Taking the Plunge; 4.2: More Than One Way to Say It; 4.3: Putting It All Together; 4.4: Finding the Unknown Value; 4.5: It’s Not Always Equal

Indicator MA 6.3.1.b Use a variable to describe a situation with an equation

CMP3 Grade 6 Variables and Patterns: 3.1: Visit to Wild World; 3.2: Moving, Texting, and Measuring; 3.3: Group Discounts and a Bonus Card; 3.4: Getting the Calculation Right; 4.1: Taking the Plunge; 4.2: More Than One Way to Say It; 4.3: Putting It All Together; 4.4: Finding the Unknown Value; 4.5: It’s Not Always Equal


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MA 6.3.2 Modeling in Context: Students will create, use, and interpret models of quantitative relationships. Indicator MA 6.3.2.a Model contextualized problems using various representations

CMP3 Grade 6 Growing, Growing, Growing: 1.1: Making Ballots; 1.2: Requesting a Reward; 1.3: Making a New Offer; 2.1: Killer Plant Strikes Lake Victoria; 2.2: Growing Mold; 2.3: Studying Snake Populations; 3.1: Reproducing Rabbits; 3.2: Investing for the Future; 3.3: Making a Difference; 4.1: Making Smaller Ballots; 4.2: Fighting Fleas; 4.3: Cooling Water; 5.1: Looking For Patterns Among Exponents; 5.2: Rules of Exponents; 5.3: Extending the Rules of Exponents; 5.4: Operations With Scientific Notation; 5.5: Revisiting Exponential Functions Frogs, Fleas, and Painted Cubes: 1.1 Staking a Claim, 1.2 Reading Graphs and Tables, 1.3 Writing an Equation, 2.1 Trading Land, 2.2 Changing Dimensions, 2.3 Factoring Quadratic Expressions, 2.4 Quadratic Functions and Their Graphs, 3.1 Exploring Triangular Numbers, 3.2 Counting Handshakes, 3.3 Examining Patterns of Change, 4.1 Tracking a Ball, 4.2 Measuring Jumps, 4.3 Painted Cubes, 4.4 Putting it All Together Butterflies, Pinwheels, and Wallpaper: 4.1: Focus on Dilations; 4.2: Return of Super Sleuth; 4.3: Checking Similarity; 4.4: Using Similar Triangles Say It with Symbols: 2.3: Making Candles; 2.4: Selling Ice Cream It’s in The System: 2.1: Shirts and Caps Again; 2.2: Taco Truck Lunch; 2.3: Solving Systems by Combining Equations II


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MA 6.3.3 Procedures: Students will apply properties to solve equations. Indicator MA 6.3.3.b Evaluate numerical expressions containing multiple operations with respect to order of operations

CMP3 Grade 6 Covering and Surrounding: 4.2: Filling the Boxes; 4.3: Designing Gift Boxes Variables and Patterns: 3.1: Visit to Wild World; 3.2: Moving, Texting, and Measuring; 3.3: Group Discounts and a Bonus Card; 3.4: Getting the Calculation Right; 4.1: Taking the Plunge; 4.2: More Than One Way to Say It; 4.3: Putting It All Together; 4.4: Finding the Unknown Value; 4.5: It’s Not Always Equal

Indicator MA 6.3.3.c Evaluate simple algebraic expressions involving multiplication and division

CMP3 Grade 6 Covering and Surrounding: 4.2: Filling the Boxes; 4.3: Designing Gift Boxes Variables and Patterns: 3.1: Visit to Wild World; 3.2: Moving, Texting, and Measuring; 3.3: Group Discounts and a Bonus Card; 3.4: Getting the Calculation Right; 4.1: Taking the Plunge; 4.2: More Than One Way to Say It; 4.3: Putting It All Together; 4.4: Finding the Unknown Value; 4.5: It’s Not Always Equal

Indicator MA 6.3.3.d Solve one-step equations involving positive rational numbers

CMP3 Grade 6 Variables and Patterns: 4.1: Taking the Plunge; 4.2: More Than One Way to Say It; 4.3: Putting It All Together; 4.4: Finding the Unknown Value

Indicator MA 6.3.3.e Identify and explain the properties of equality used in solving equations

CMP3 Grade 6 Variables and Patterns: 4.1: Taking the Plunge; 4.2: More Than One Way to Say It; 4.3: Putting It All Together; 4.4: Finding the Unknown Value; 4.5: It’s Not Always Equal


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DATA ANALYSIS/PROBABILITY CONCEPTS MA 6.4.1 Display and Analysis: Students will organize, display, compare, and interpret data. Indicator MA 6.4.1.b Compare and interpret data sets and their graphical representations

CMP3 Grade 6 Data About Us: 1.1: How Many Letters Are in a Name?; 1.2: Describing Name Lengths; 1.3: Describing Name Lengths; 2.1: What’s a Mean Household Size?; 2.2: Comparing Distributions With the Same Mean; 2.3: Making Choices; 2.4: Who Else Is in Your Household; 3.1: Estimating Cereal Serving Sizes; 3.2: Connecting Cereal Shelf Location and Sugar; 3.3: Is It Worth the Wait?; 4.1: Traveling to School; 4.2: Jumping Rope; 4.3: How Much Taller is a 6th Grader Than A Second Grader?

Indicator MA 6.4.1.c Find the mean, median, mode and range for a set of data

CMP3 Grade 6 Data About Us: 2.1: What’s a Mean Household Size?; 2.2: Comparing Distributions With the Same Mean; 2.3: Making Choices; 2.4: Who Else Is in Your Household; 3.1: Estimating Cereal Serving Sizes; 3.2: Connecting Cereal Shelf Location and Sugar; 3.3: Is It Worth the Wait?

MA 6.4.3 Probability: Students will apply basic concepts of probability. Indicator MA 6.4.3.b Compute theoretical probabilities for independent events

CMP3 Grade 6 For related content, please see: Data About Us: 1.1: How Many Letters Are in a Name?; 1.2: Describing Name Lengths; 1.3: Describing Name Lengths; 2.1: What’s a Mean Household Size?; 2.2: Comparing Distributions With the Same Mean; 2.3: Making Choices; 2.4: Who Else Is in Your Household; 3.1: Estimating Cereal Serving Sizes; 3.2: Connecting Cereal Shelf Location and Sugar; 3.3: Is It Worth the Wait?; 4.1: Traveling to School; 4.2: Jumping Rope; 4.3: How Much Taller is a 6th Grader Than A Second Grader?


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(Continued) Indicator MA 6.4.3.b Compute theoretical probabilities for independent events

Also see: CMP3 Grade 7 What Do You Expect?: 2.1 Predicting to Win; 2.3: Designing a Fair Game; 2.4: Winning the Bonus Prize; 3.1: Designing a Spinner to Find Probabilities; 3.2: Making Decisions; 3.3: Roller Derby; 3.4: Scratching Spots; 4.1: Drawing Area Models to Find the Sample Space; 4.2: Making Purple; 4.4: Finding Expected Value; 5.1: Guessing Answers; 5.2: Ortonville; 5.3: A Baseball Series

Indicator MA 6.4.3.c Find experimental probability for independent events Mastery not expected

CMP3 Grade 6 For related content, please see: Data About Us: 1.1: How Many Letters Are in a Name?; 1.2: Describing Name Lengths; 1.3: Describing Name Lengths; 2.1: What’s a Mean Household Size?; 2.2: Comparing Distributions With the Same Mean; 2.3: Making Choices; 2.4: Who Else Is in Your Household; 3.1: Estimating Cereal Serving Sizes; 3.2: Connecting Cereal Shelf Location and Sugar; 3.3: Is It Worth the Wait?; 4.1: Traveling to School; 4.2: Jumping Rope; 4.3: How Much Taller is a 6th Grader Than A Second Grader? Also see: CMP3 Grade 7 What Do You Expect?: 1.1: Choosing Cereal; 1.2: Tossing Paper Cups; 1.3 One More Try; 1.4 Analyzing Events; 2.2 Choosing Marbles; 2.3: Designing a Fair Game; 3.1: Designing a Spinner to Find Probabilities; 3.2: Making Decisions; 3.3: Roller Derby; 3.4: Scratching Spots; 4.3: One-and-One Free Throws


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Grade 7 NUMBER SYSTEM MA 7.1.1 Number System: Students will represent and show relationships among rational numbers. Indicator MA 7.1.1.a Show equivalence among fractions, decimals, and percents

CMP3 Grade 7 Comparing and Scaling: 1.1: Surveying Opinions; 1.2: Mixing Juice; 1.3: Time to Concentrate; 1.4: Keeping Things in Proportion; 2.1: Sharing Pizza; 2.2: Comparing Pizza Prices; 2.3: Finding Costs; 3.1: Commissions, Markups, and Discounts; 3.2: Measuring to the Unit; 3.3: Mixing it Up What Do You Expect?: 1.4 Analyzing Events

Indicator MA 7.1.1.b Compare and order rational numbers (fractions, decimals, percents)

CMP3 Grade 7 Comparing and Scaling: 1.1: Surveying Opinions; 1.2: Mixing Juice; 1.3: Time to Concentrate; 1.4: Keeping Things in Proportion; 2.1: Sharing Pizza; 2.2: Comparing Pizza Prices; 2.3: Finding Costs; 3.1: Commissions, Markups, and Discounts; 3.2: Measuring to the Unit; 3.3: Mixing it Up What Do You Expect?: 1.4 Analyzing Events

Indicator MA 7.1.1.c Represent large numbers using scientific notation MASTERY NOT EXPECTED

CMP3 Grade 7 For related content, please see: Accentuate the Negative: 3.1: Multiplication Patterns; 3.2: Multiplication of Rational Numbers Also see: CMP3 Grade 8 Growing, Growing, Growing: 5.4: Operations With Scientific Notation

MA 7.1.3 Computation: Students will compute fluently and accurately using appropriate strategies and tools. Indicator MA 7.1.3.a Compute accurately with integers

CMP3 Grade 7 Accentuate the Negative: 2.3: The “+/-“ Connection; 2.4: Fact Families; 3.1:


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Multiplication Patterns; 3.4: Playing the Integer Product Game

Indicator MA 7.1.3.b Select, apply, and explain the method of computation when problem solving using integers and positive rational numbers

CMP3 Grade 7 Accentuate the Negative: 1.1: Playing Math Fever; 1.2: Extending the Number Line; 1.3 From Sauna to Snowbank; 1.4: In the Chips; 2.1: Extending Addition to Rational Numbers; 2.2 Extending Subtraction to Rational Numbers; 2.3: The “+/-“ Connection; 2.4: Fact Families; 3.1: Multiplication Patterns; 3.2: Multiplication of Rational Numbers; 3.3 Division of Rational Numbers; 3.4: Playing the Integer Product Game; 4.3 What Operations Are Needed? Comparing and Scaling: 3.1: Commissions, Markups, and Discounts

Indicator MA 7.1.3.c Solve problems involving percent of numbers

CMP3 Grade 7 Comparing and Scaling: 3.1: Commissions, Markups, and Discounts; 3.2: Measuring to the Unit; 3.3: Mixing it Up

MA 7.1.4 Estimation: Students will estimate and check reasonableness of answers using appropriate strategies and tools. Indicator MA 7.1.4.a Use estimation methods to check the reasonableness of solutions for problem involving integers and positive rational numbers

CMP3 Grade 7 Filling and Wrapping: 2.2: Packing A Prism; 3.2: Pricing Pizza; 3.4: Connecting Circumference and Area

GEOMETRIC/MEASUREMENT CONCEPTS MA 7.2.2 Coordinate Geometry: Students will identify locations using coordinate geometry. Indicator MA 7.2.2.a Plot the location of an ordered pair in the coordinate plane

CMP3 Grade 7 Moving Straight Ahead: 1.2: Walking Rates and Linear Relationships; 2.1: Henri and Emile’s Race; 2.2: Crossing the Line; 2.3: Comparing Costs; 2.4: Connecting Tables; Graphs, and Equations; 3.1: Solving Equations Using Tables and Graphs; 3.5: Finding the Points of Intersection; 4.1: Climbing Stairs; 4.2: Finding the Slope of a Line; 4.3: Exploring Patterns With Lines; 4.4: Pulling it All Together

Indicator MA 7.2.2.c Find the distance between points along horizontal and vertical

CMP3 Grade 7 Moving Straight Ahead:


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lines of a coordinate plane 4.1: Climbing Stairs; 4.2: Finding the Slope of a Line; 4.3: Exploring Patterns With Lines; 4.4: Pulling it All Together

MA 7.2.3 Transformations: Students will use transformations and symmetry to analyze geometric shapes. Indicator MA 7.2.3.b Perform and describe positions and orientation of shapes under a single transformation on an coordinate plane

CMP3 Grade 7 Shapes and Designs: The Family of Polygons: 1.2: In a Spin Stretching and Shrinking: 1.2: Scaling Up and Down; 2.1: Drawing Wumps; 2.2: Hats Off to the Wumps; 2.3: Mouthing Off and Nosing Around

MA 7.2.5 Measurement: Students will select and apply appropriate procedures, tools, and formulas to determine measurements. Indicator MA 7.2.5.b Determine the area of trapezoids and circles, and the circumference of circles

CMP3 Grade 7 Filling and Wrapping: 3.1: Going Around in Circles; 3.2: Pricing Pizza; 3.3: Squaring a Circle to Find Its Area; 3.4: Connecting Circumference and Area

ALGEBRAIC CONCEPTS MA 7.3.1 Relationships: Students will represent and analyze relationships using algebraic symbols. Indicator MA 7.3.1.a Describe and create algebraic expressions from words, tables, and graphs

CMP3 Grade 7 Comparing and Scaling: 1.4: Keeping Things in Proportion; 3.1: Commissions, Markups, and Discounts; 3.3: Mixing it Up Moving Straight Ahead: 1.2: Walking Rates and Linear Relationships; 1.3: Raising Money; 1.4: Using the Walkathon Money; 2.2: Crossing the Line; 2.4: Connecting Tables; Graphs, and Equations; 3.1: Solving Equations Using Tables and Graphs; 3.2: Mystery Pouches in the Kingdom of Montarek; 3.3: From Pouches to Variables; 3.4: Solving Linear Equations; 3.5: Finding the Points of Intersection; 4.4: Pulling it All Together

Indicator MA 7.3.1.b Use a variable to describe a situation with an inequality

CMP3 Grade 7 Accentuate the Negative: 1.2: Extending the Number Line; Moving Straight Ahead: 3.1:


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Solving Equations Using Tables and Graphs


CMP3 Grade 7 Moving Straight Ahead: 1.1: Walking Marathons; 1.2: Walking Rates and Linear Relationships; 1.3: Raising Money; 1.4: Using the Walkathon Money; 2.1: Henri and Emile’s Race; 2.2: Crossing the Line; 2.3: Comparing Costs; 2.4: Connecting Tables; Graphs, and Equations; 3.1: Solving Equations Using Tables and Graphs; 3.2: Mystery Pouches in the Kingdom of Montarek; 3.3: From Pouches to Variables; 3.4: Solving Linear Equations; 3.5: Finding the Points of Intersection; 4.1: Climbing Stairs; 4.2: Finding the Slope of a Line; 4.3: Exploring Patterns With Lines; 4.4: Pulling it All Together

MA 7.3.3 Procedures: Students will apply properties to solve equations and inequalities. Indicator MA 7.3.3.c Given the value of the variable(s), evaluate variable expressions with respect to order of operations

CMP3 Grade 7 Moving Straight Ahead: 1.2: Walking Rates and Linear Relationships; 1.3: Raising Money; 1.4: Using the Walkathon Money; 2.4: Connecting Tables; Graphs, and Equations; 3.1: Solving Equations Using Tables and Graphs

Indicator MA 7.3.3.d Solve two-step equations involving integers and positive rational numbers

CMP3 Grade 7 Moving Straight Ahead: 3.1: Solving Equations Using Tables and Graphs; 3.2: Mystery Pouches in the Kingdom of Montarek; 3.3: From Pouches to Variables; 3.4: Solving Linear Equations

Indicator MA 7.3.3.e Solve one-step inequalities involving positive rational numbers MASTERY NOT EXPECTED

CMP3 Grade 7 Accentuate the Negative: 1.2: Extending the Number Line; Moving Straight Ahead: 3.1:


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Solving Equations Using Tables and Graphs

DATA ANALYSIS/PROBABILITY CONCEPTS MA 7.4.1 Display and Analysis: Students will formulate questions that can be addressed with data, and then organize, display, and analyze the relevant data to answer their questions. Indicator MA 7.4.1.a Analyze data sets and interpret their graphical representations

CMP3 Grade 7 Samples and Populations: 1.1: Comparing Performances; 1.2: Which Team Is Most Successful?; 1.3: Pick Your Preference; 1.4: Are Steel-Frame Coasters Faster Than Wood-Frame Coasters?; 2.1: Asking About Honesty; 2.2: Selecting a Sample; 2.3: Choosing Random Samples; 2.4: Growing Samples

Indicator MA 7.4.1.b Find and interpret mean, median, mode, and range for set of data

CMP3 Grade 7 Samples and Populations: 1.1: Comparing Performances; 1.2: Which Team Is Most Successful?; 1.4: Are Steel-Frame Coasters Faster Than Wood-Frame Coasters?

MA 7.4.3 Probability: Students will apply and interpret basic concepts of probability. Indicator MA 7.4.3.a Find the probability of independent compound events

CMP3 Grade 7 What Do You Expect?: 2.1 Predicting to Win; 2.3: Designing a Fair Game; 2.4: Winning the Bonus Prize; 4.1: Drawing Area Models to Find the Sample Space; 4.2: Making Purple; 4.3: One-and-One Free Throws; 4.4: Finding Expected Value; 5.1: Guessing Answers; 5.2: Ortonville; 5.3: A Baseball Series


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Indicator MA 7.4.3.b Compare and contrast theoretical and experimental probabilities

CMP3 Grade 7 What Do You Expect?: 1.1: Choosing Cereal; 1.2: Tossing Paper Cups; 1.3 One More Try; 1.4 Analyzing Events; 2.1 Predicting to Win; 2.2 Choosing Marbles; 2.3: Designing a Fair Game; 2.4: Winning the Bonus Prize; 3.1: Designing a Spinner to Find Probabilities; 3.2: Making Decisions; 3.3: Roller Derby; 3.4: Scratching Spots; 4.1: Drawing Area Models to Find the Sample Space; 4.2: Making Purple; 4.3: One-and-One Free Throws; 4.4: Finding Expected Value; 5.1: Guessing Answers; 5.2: Ortonville; 5.3: A Baseball Series



Grade 8 NUMBER SYSTEM MA 8.1.1 Number System: Students will represent and show relationships among real numbers. Indicator MA 8.1.1.a Compare and order real numbers

CMP3 Grade 8 Looking for Pythagoras: 4.1: Analyzing the Wheel of Theodorus; 4.4: Getting Real; 5.1: Stopping Sneaky Sally

Indicator MA 8.1.1.c Represent small numbers using scientific notation MASTERY NOT EXPECTED

CMP3 Grade 8 Growing, Growing, Growing: 5.4: Operations With Scientific Notation

Indicator MA 8.1.1.d Classify numbers as natural, whole, integer, rational, irrational, or real

CMP3 Grade 8 Looking for Pythagoras: 4.1: Analyzing the Wheel of Theodorus; 4.4: Getting Real

MA 8.1.3 Computation: Students will compute fluently and accurately using appropriate strategies and tools. Indicator MA 8.1.3.a Compute accurately with rational numbers

CMP3 Grade 8 Looking for Pythagoras: 2.2: Square Roots; 2.3: Using Squares; 2.4: Cube Roots; 4.2: Representing Fractions as Decimals; 4.3: Representing Decimals as Fractions; 5.1:


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Stopping Sneaky Sally Growing, Growing, Growing: 5.1: Looking For Patterns Among Exponents; 5.2: Rules of Exponents; 5.3: Extending the Rules of Exponents; 5.4: Operations With Scientific Notation Frogs, Fleas, and Painted Cubes: 2.2 Changing Dimensions, 4.1 Tracking a Ball, 4.2 Measuring Jumps, 4.3 Painted Cubes, 4.4 Putting it All Together

Indicator MA 8.1.3.b Evaluate expressions involving absolute value of integers

CMP3 Grade 8 For related content, please see: Looking for Pythagoras: 2.2: Square Roots Also see: CMP3 Grade 7 Comparing Bits and Pieces: 3.1: Extending the Number Line

Indicator MA 8.1.3.d Select, apply, and explain the method of computation when problem solving using rational numbers

CMP3 Grade 8 Looking for Pythagoras: 2.2: Square Roots; 2.3: Using Squares; 2.4: Cube Roots; 4.2: Representing Fractions as Decimals; 4.3: Representing Decimals as Fractions; 5.1: Stopping Sneaky Sally Growing, Growing, Growing: 5.1: Looking For Patterns Among Exponents; 5.2: Rules of Exponents; 5.3: Extending the Rules of Exponents; 5.4: Operations With Scientific Notation Frogs, Fleas, and Painted Cubes: 2.2 Changing Dimensions, 4.1 Tracking a Ball, 4.2 Measuring Jumps, 4.3 Painted Cubes, 4.4 Putting it All Together

Indicator MA 8.1.3.e Solve problems involving ratios and proportions

CMP3 Grade 8 Thinking with Mathematical Models: 2.2: Up and Down the Staircase

MA 8.1.4 Estimation: Students will estimate and check reasonableness of answers using


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appropriate strategies and tools. Indicator MA 8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers

CMP3 Grade 8 Looking for Pythagoras: 4.1: Analyzing the Wheel of Theodorus; 4.4: Getting Real; 5.1: Stopping Sneaky Sally

GEOMETRIC/MEASUREMENT CONCEPTS MA 8.2.1 Characteristics: Students will describe, compare, and contrast characteristics, properties and relationships of geometric shapes and objects. Indicator MA 8.2.1.c Identify geometric properties of parallel lines cut by a transversal and related angles

CMP3 Grade 8 Looking for Pythagoras: 5.2: Analyzing Triangles Butterflies, Pinwheels, and Wallpaper: 3.5: Parallel Lines, Transversals, and Angle Sums

Indicator MA 8.2.1.d Identify pairs of angles CMP3 Grade 8 Looking for Pythagoras: 5.2: Analyzing Triangles Butterflies, Pinwheels, and Wallpaper: 3.5: Parallel Lines, Transversals, and Angle Sums

Indicator MA 8.2.1.e Examine the relationships of the interior angles to a triangle (e.g., the sum of the angles is 180 degrees)

CMP3 Grade 8 Looking for Pythagoras: 3.1: Discovering the Pythagorean Theorem; 3.2: A Proof of the Pythagorean Theorem; 3.3: Finding Distances; 3.4: Measuring the Egyptian Way; 4.1: Analyzing the Wheel of Theodorus; 5.2: Analyzing Triangles Butterflies, Pinwheels, and Wallpaper: 2.3: Minimum Measurement; 4.4: Using Similar Triangles

MA 8.2.2 Coordinate Geometry: Students will specify locations and describe relationships using coordinate geometry. Indicator MA 8.2.2.a Use coordinate geometry to represent and examine the properties of rectangles and squares using

CMP3 Grade 8 Looking for Pythagoras: 3.3: Finding Distances


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horizontal and vertical segments

MA 8.2.5 Measurement: Students will apply appropriate procedures, tools, and formulas to determine measurements. Indicator MA 8.2.5.c Apply the Pythagorean theorem to find missing lengths in right triangles and to solve problems

CMP3 Grade 8 Looking for Pythagoras: 3.1: Discovering the Pythagorean Theorem; 3.2: A Proof of the Pythagorean Theorem; 3.3: Finding Distances; 3.4: Measuring the Egyptian Way; 4.1: Analyzing the Wheel of Theodorus; 5.1: Stopping Sneaky Sally; 5.3: Analyzing Circles

Indicator MA 8.2.5.d Use scale factors to find missing lengths in similar shapes

CMP3 Grade 8 Butterflies, Pinwheels, and Wallpaper: 4.1: Focus on Dilations; 4.2: Return of Super Sleuth; 4.3: Checking Similarity; 4.4: Using Similar Triangles;

ALGEBRAIC CONCEPTS MA 8.3.1 Relationships: Students will represent and analyze relationships using algebraic symbols. Indicator MA 8.3.1.b Describe relationships using algebraic expressions, equations, and inequalities

CMP3 Grade 8 Thinking with Mathematical Models: 2.4: Boat Rental Business; 2.5: Amusement Park or Movies Say It with Symbols: 3.1: Selling Greeting Cards; 3.2: Comparing Costs; 5.1: Using Algebra to Solve a Puzzle It’s in The System: 1.1: Shirts and Caps; 1.2: Connecting Ax + By = C and y = mx + b; 1.3: Booster Club Members; 2.1: Shirts and Caps Again; 2.2: Taco Truck Lunch; 2.3: Solving Systems by Combining Equations II; 3.1: Comparing Security Services; 3.2: Solving Linear Inequalities Symbolically; 4.4: Miles of Emissions Function Junction: 4.1: Applying Square Roots; 4.2: Completing the Square; 4.3: The Quadratic Formula; 4.4: Complex Numbers; 5.1: Properties of Polynomial Expressions and Functions; 5.2: Combining Profit Functions; 5.3: Product Time; 5.4: The Factor Game


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Revisited


CMP3 Grade 8 Thinking with Mathematical Models: 2.1: Modeling Linear Data Patterns; 2.2: Up and Down the Staircase; 2.3: Tree Top Fun; 2.4: Boat Rental Business; 2.5: Amusement Park or Movies; 3.2: Distance, Speed and Time; 3.3: Planning a Field Trip; 3.4: Modeling Data Patterns Growing, Growing, Growing: 1.1: Making Ballots; 1.2: Requesting a Reward; 1.3: Making a New Offer; 2.1: Killer Plant Strikes Lake Victoria; 2.2: Growing Mold; 2.3: Studying Snake Populations; 3.1: Reproducing Rabbits; 3.2: Investing for the Future; 3.3: Making a Difference; 4.1: Making Smaller Ballots; 4.2: Fighting Fleas; 4.3: Cooling Water; 5.5: Revisiting Exponential Functions Say It with Symbols: 3.1: Selling Greeting Cards; 3.2: Comparing Costs; 3.3: Factoring Quadratic Equations; 3.4: Solving Quadratic Equations; 4.3: Generating Patterns; 4.4: What’s the Function?


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Function Junction: 1.1: Filling Functions; 1.2: Domain, Range, and Function; 1.3: Taxi Fares, Time Payments, and Step Functions; 1.4: Piecewise-Defined; 1.5: Inverse Functions; 3.1: Sliding Up and Down; 3.2: Stretching and Flipping Up and Down; 3.3: Sliding Left and Right; 3.4: Getting From Here to There; 5.1: Properties of Polynomial Expressions and Functions; 5.2: Combining Profit Functions; 5.3: Product Time; 5.4: The Factor Game Revisited

MA 8.3.3 Procedures: Students will apply properties to solve equations and inequalities. Indicator MA 8.3.3.b Evaluate numerical expressions containing whole number exponents

CMP3 Grade 8 Growing, Growing, Growing: 5.1: Looking For Patterns Among Exponents; 5.2: Rules of Exponents; 5.3: Extending the Rules of Exponents; 5.4: Operations With Scientific Notation

Indicator MA 8.3.3.c Solve multi-step equations involving rational numbers

CMP3 Grade 8 Thinking with Mathematical Models: 2.4: Boat Rental Business Say It with Symbols: 3.1: Selling Greeting Cards; 3.2: Comparing Costs; 5.1: Using Algebra to Solve a Puzzle Function Junction: 4.1: Applying Square Roots; 4.2: Completing the Square; 4.3: The Quadratic Formula; 4.4: Complex Numbers; 5.1: Properties of Polynomial Expressions and Functions

Indicator MA 8.3.3.d Solve two-step inequalities involving rational numbers

CMP3 Grade 8 It’s in The System: 3.1: Comparing Security Services; 3.2: Solving Linear Inequalities Symbolically

DATA ANALYSIS/PROBABILITY CONCEPTS MA 8.4.1 Display and Analysis: Students will formulate questions that can be addressed with data, and then organize, display, and analyze the relevant data to answer their questions. Indicator MA 8.4.1.b Compare characteristics between sets of data or within a given set of data

CMP3 Grade 8 Thinking with Mathematical Models: 2.1: Modeling Linear Data Patterns; 3.4:


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Modeling Data Patterns; 4.1: Vitruvian Man; 4.2: Older and Faster; 4.3: Correlation Coefficients and Outliers; 4.4: Measuring Variability; 5.1: Wood or Steel? That’s the Question; 5.2: Politics of Girls and Boys; 5.3: After-School Jobs and Homework

Indicator MA 8.4.1.d Select the most appropriate unit of central tendency for sets of data

CMP3 Grade 8 Thinking with Mathematical Models: 4.4: Measuring Variability

Indicator MA 8.4.1.e Identify misrepresentation and misinterpretation of data represented in circle graphs and box plots

CMP3 Grade 8 Thinking with Mathematical Models: 5.1: Wood or Steel? That’s the Question; 5.2: Politics of Girls and Boys; 5.3: After-School Jobs and Homework

MA 8.4.3 Probability: Students will apply and interpret basic concepts of probability. Indicator MA 8.4.3.a Identify complementary events and calculate their probabilities

CMP3 Grade 8 For related content, please see: Thinking with Mathematical Models: 2.1: Modeling Linear Data Patterns; 3.4: Modeling Data Patterns; 4.1: Vitruvian Man; 4.2: Older and Faster; 4.3: Correlation Coefficients and Outliers; 4.4: Measuring Variability; 5.1: Wood or Steel? That’s the Question; 5.2: Politics of Girls and Boys; 5.3: After-School Jobs and Homework Also see: CMP3 Grade 7 What Do You Expect?: 1.4 Analyzing Events; 2.2 Choosing Marbles

Indicator MA 8.4.3.b Compute probabilities for independent compound events

CMP3 Grade 8 For related content, please see: Thinking with Mathematical Models: 2.1: Modeling Linear Data Patterns; 3.4: Modeling Data Patterns; 4.1: Vitruvian Man; 4.2: Older and Faster; 4.3: Correlation Coefficients and Outliers; 4.4: Measuring Variability; 5.1: Wood or Steel? That’s the Question; 5.2: Politics of Girls and Boys; 5.3:


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After-School Jobs and Homework Also see: CMP3 Grade 7 What Do You Expect?: 2.1 Predicting to Win; 2.3: Designing a Fair Game; 2.4: Winning the Bonus Prize; 4.1: Drawing Area Models to Find the Sample Space; 4.2: Making Purple; 4.3: One-and-One Free Throws; 4.4: Finding Expected Value; 5.1: Guessing Answers; 5.2: Ortonville; 5.3: A Baseball Series

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