Connected Mathematics Project 3
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1 An Alignment of Grade 6, 2015 to the Connected Mathematics Project 3 Grade 6, 2014
2 Table of Contents Unit A: Expressions and Equations... 1 Unit B: Number System, Part Unit C: Number System, Part Unit D: Ratios and Proportional Relationships... 6 Unit E: Geometry... 8 Unit F: Statistics... 9 Copyright 2014 Pearson Education, Inc. or its affiliate(s). All rights reserved
3 Unit A: Expressions and Equations Topic 1: Variables and Expressions Lesson 1-1: Numerical Expressions Lesson 1-2: Algebraic Expressions Lesson 1-3: Writing Algebraic Expressions Lesson 1-4: Evaluating Algebraic Expressions Lesson 1-5: Expressions with Exponents Lesson 1-6: Problem Solving Topic 2: Equivalent Expressions Lesson 2-1: The Identity and Zero Properties Lesson 2-2: The Commutative Properties Lesson 2-3: The Associative Properties Variables and Patterns: 3.4: Getting the Calculation Right; 4.1: Taking the Plunge Variables and Patterns: 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 Variables and Patterns: 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 Variables and Patterns: 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 Variables and Patterns: 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: Variables and Patterns: 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 Variables and Patterns: 4.1: Taking the Plunge; 4.2: More Than One Way to Say It; 4.3: Putting It All Together Variables and Patterns: 4.1: Taking the Plunge; 4.2: More Than One Way to Say It; 4.3: Putting It All Together Variables and Patterns: 4.1: Taking the Plunge; 4.2: More Than One Way to Say It; 4.3: Putting It All Together Lesson 2-4: Greatest Common Factor Prime Time: 2.1: Riding Ferris Wheels; 2.2: Looking at Cicada Cycles; 2.3: Bagging Snacks Lesson 2-5: The Distributive Property Prime Time: 4.2: Using the Distributive Property 1
4 Lesson 2-6: Least Common Multiple Prime Time: 2.1: Riding Ferris Wheels; 2.2: Looking at Cicada Cycles; 2.3: Bagging Snacks Lesson 2-7: Problem Solving Variables and Patterns: 4.1: Taking the Plunge; 4.2: More Than One Way to Say It; 4.3: Putting It All Together Prime Time: 2.1: Riding Ferris Wheels; 2.2: Looking at Cicada Cycles; 2.3: Bagging Snacks; 4.2: Using the Distributive Property Topic 3: Equations and Inequalities Lesson 3-1: Expressions to Equations Lesson 3-2: Balancing Equations 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 For related content, please see: Variables and Patterns: 4.4: Finding the Unknown Value; 4.5: It s Not Always Equal Lesson 3-3: Solving Addition and Subtraction Equations Lesson 3-4: Solving Multiplication and Division Equations Lesson 3-5: Equations to Inequalities Lesson 3-6: Solving Inequalities Lesson 3-7: Problem Solving Topic 4: Two-Variable Relationships Lesson 4-1: Using Two Variables to Represent a Relationship Variables and Patterns: 4.4: Finding the Unknown Value Variables and Patterns: 3.1: Visit to the Wild World; 3.3: Group Discounts and a Bonus Card; 4.4: Finding the Unknown Value Variables and Patterns: 4.4: Finding the Unknown Value; 4.5: It s Not Always Equal Variables and Patterns: 4.5: It s Not Always Equal Variables and Patterns: 3.1: Visit to the Wild World; 3.3: Group Discounts and a Bonus Card; 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 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; 2.1: Renting Bicycles 2
5 Lesson 4-2: Analyzing Patterns Using Tables and Graphs Lesson 4-3: Relating Tables and Graphs to Equations Lesson 4-4: Problem Solving Unit B: Number System, Part 1 Topic 5: Multiplying Fractions Lesson 5-1: Multiplying Fractions and Whole Numbers Lesson 5-2: Multiplying Two Fractions Lesson 5-3: Multiplying Fractions and Mixed Numbers Lesson 5-4: Multiplying Mixed Numbers Variables and Patterns: 1.1: Getting Ready to Ride; 1.3: From Lewes to Chincoteague Island Variables and Patterns: 1.1: Getting Ready to Ride; 1.3: From Lewes to Chincoteague Island 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; 2.1: Renting Bicycles Let's Be Rational: 2.1: How Much of the Pan Have We Sold? Let's Be Rational: 2.1: How Much of the Pan Have We Sold? Let's Be Rational: 2.2: Modeling Multiplication Situations Let's Be Rational: 2.3: Changing Forms Lesson 5-5: Problem Solving Topic 6: Dividing Fractions Lesson 6-1: Dividing Fractions and Whole Numbers Lesson 6-2: Dividing Unit Fractions by Unit Fractions Lesson 6-3: Dividing Fractions by Fractions Lesson 6-4: Dividing Mixed Numbers Let's Be Rational: 2.1: How Much of the Pan Have We Sold?; 2.2: Modeling Multiplication Situations; 2.3: Changing Forms Let's Be Rational: 3.3: Sharing a Prize Let's Be Rational: 3.1: Preparing Food Let's Be Rational: 3.1: Preparing Food Let's Be Rational: 3.2: Into Pieces Lesson 6-5: Problem Solving Let's Be Rational: 3.1: Preparing Food; 3.2: Into Pieces; 3.3: Sharing a Prize 3
6 Unit C: Number System, Part 2 Topic 7: Fluency with Decimals Lesson 7-1: Adding and Subtracting Decimals Lesson 7-2: Multiplying Decimals Lesson 7-3: Dividing Multi-Digit Numbers Lesson 7-4: Dividing Decimals Lesson 7-5: Decimals and Fractions Decimal Operations: 2.1: Getting Things in the Right Place; 2.2: What s the Difference?; 2.3: Connecting Operations Decimal Operations: 3.1: It s Decimal Time(s); 3.2: It Works Every Time Decimal Operations: 3.4: Going the Long Way; 3.5: Challenging Cases Decimal Operations: 3.3: How Many Times?; 3.4: Going the Long Way; 3.5: Challenging Cases Decimal Operations: 3.4: Going the Long Way Comparing Bits and Pieces: 3.5: Earthquake Relief Lesson 7-6: Comparing and Ordering Decimals and Fractions Lesson 7-7: Problem Solving Comparing Bits and Pieces: 1.3: On the Line; 1.4: Measuring Progress; 1.5: Comparing Fundraising Goals Decimal Operations: 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; 3.4: Going the Long Way; 3.5: Challenging Cases Comparing Bits and Pieces: 1.3: On the Line; 1.4: Measuring Progress; 1.5: Comparing Fundraising Goals; 3.5: Earthquake Relief Topic 8: Integers Lesson 8-1: Integers and Lesson 8-2: Comparing and Ordering Integers Lesson 8-3: Absolute Value Comparing Bits and Pieces: 3.1: Extending Comparing Bits and Pieces: 3.1: Extending Comparing Bits and Pieces: 3.1: Extending 4
7 Lesson 8-4: Integers and the Coordinate Plane Variables and Patterns: 2.3: Predicting Profits Covering and Surrounding: 3.4: Polygons on Coordinate Grids Lesson 8-5: Distance Lesson 8-6: Problem Solving Variables and Patterns: 2.3: Predicting Profits Variables and Patterns: 2.3: Predicting Profits Covering and Surrounding: 3.4: Polygons on Coordinate Grids Comparing Bits and Pieces: 3.1: Extending Topic 9: Rational Numbers Lesson 9-1: Rational Numbers and the Number Line Comparing Bits and Pieces: 3.2: Estimating and Ordering Rational Numbers; 3.4: Decimals on Lesson 9-2: Comparing Rational Numbers Comparing Bits and Pieces: 1.1: Fundraising; 1.3: On the Line; 3.1: Extending ; 3.2: Estimating and Ordering Rational Numbers; 3.4: Decimals on Lesson 9-3: Ordering Rational Numbers Comparing Bits and Pieces: 1.1: Fundraising; 1.3: On the Line; 3.1: Extending ; 3.2: Estimating and Ordering Rational Numbers; 3.4: Decimals on Lesson 9-4: Rational Numbers and the Coordinate Plane Lesson 9-5: Polygons in the Coordinate Plane Variables and Patterns: 2.3: Predicting Profits Covering and Surrounding: 3.4: Polygons on Coordinate Grids 5
8 Lesson 9-6: Problem Solving Comparing Bits and Pieces: 1.1: Fundraising; 1.3: On the Line; 3.1: Extending ; 3.2: Estimating and Ordering Rational Numbers; 3.4: Decimals on Variables and Patterns: 2.3: Predicting Profits Covering and Surrounding: 3.4: Polygons on Coordinate Grids Unit D: Ratios and Proportional Relationships Topic 10: Ratios Lesson 10-1: Ratios Comparing Bits and Pieces: 1.1: Fundraising; 1.2: Fundraising Thermometers; 1.5: Comparing Fundraising Goals Lesson 10-2: Exploring Equivalent Ratios Comparing Bits and Pieces: 1.3: On the Line; 2.3: Making Comparisons With Rate Tables Lesson 10-3: Equivalent Ratios Comparing Bits and Pieces: 1.3: On the Line; 2.3: Making Comparisons With Rate Tables Lesson 10-4: Ratios as Fractions Comparing Bits and Pieces: 1.1: Fundraising; 1.2: Fundraising Thermometers; 1.5: Comparing Fundraising Goals; 2.2: Unequal Shares Lesson 10-5: Ratios as Decimals Comparing Bits and Pieces: 3.5: Earthquake Relief Lesson 10-6: Problem Solving Comparing Bits and Pieces: 1.1: Fundraising; 1.2: Fundraising Thermometers; 1.3: On the Line; 1.5: Comparing Fundraising Goals; 2.2: Unequal Shares; 2.3: Making Comparisons With Rate Tables; 3.5: Earthquake Relief Topic 11: Rates Lesson 11-1: Unit Rates Comparing Bits and Pieces: 2.1: Equal Shares; 2.2: Unequal Shares; 2.3: Making Comparisons With Rate Tables Decimal Operations: 1.3: Take a Hike 6
9 Lesson 11-2: Unit Prices Variables and Patterns: 3.2: Moving, Texting, and Measuring Comparing Bits and Pieces: 2.3: Making Comparisons With Rate Tables Lesson 11-3: Constant Speed Variables and Patterns: 1.4: From Chincoteague to Colonial Williamsburg; 3.2: Moving, Texting, and Measuring Lesson 11-4: Measurements and Ratios Comparing Bits and Pieces: 1.2: Fundraising Thermometers; 1.5: Comparing Fundraising Goals Lesson 11-5: Choosing the Appropriate Rate Lesson 11-6: Problem Solving Comparing Bits and Pieces: 2.1: Equal Shares; 2.3: Making Comparisons With Rate Tables Variables and Patterns: 1.4: From Chincoteague to Colonial Williamsburg; 3.2: Moving, Texting, and Measuring Comparing Bits and Pieces: 1.2: Fundraising Thermometers; 1.5: Comparing Fundraising Goals; 2.1: Equal Shares; 2.2: Unequal Shares; 2.3: Making Comparisons With Rate Tables Decimal Operations: 1.3: Take a Hike Topic 12: Ratio Reasoning Lesson 12-1: Plotting Ratios and Rates Lesson 12-2: Recognizing Proportionality 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 Comparing Bits and Pieces: 2.1: Equal Shares; 2.2: Unequal Shares; 2.3: Making Comparisons With Rate Tables Lesson 12-3: Introducing Percents Comparing Bits and Pieces: 4.1: Who Is the Best? Making Sense of Percents; 4.2: Genetic Traits; 4.3: The Art of Comparison 7
10 Lesson 12-4: Using Percents Comparing Bits and Pieces: 4.1: Who Is the Best? Making Sense of Percents; 4.2: Genetic Traits; 4.3: The Art of Comparison Decimal Operations: 4.1: What s the Tax on This Item?; 4.2: Computing Tips; 4.3: Percent Discounts; 4.4: Putting Operations Together Lesson 12-5: Problem Solving Comparing Bits and Pieces: 2.1: Equal Shares; 2.2: Unequal Shares; 2.3: Making Comparisons With Rate Tables; 4.1: Who Is the Best? Making Sense of Percents; 4.2: Genetic Traits; 4.3: The Art of Comparison Decimal Operations: 4.1: What s the Tax on This Item?; 4.2: Computing Tips; 4.3: Percent Discounts; 4.4: Putting Operations Together 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 Unit E: Geometry Topic 13: Area Lesson 13-1: Rectangles and Squares Lesson 13-2: Right Triangles Covering and Surrounding: 1.1: Designing Bumper-Car Rides; 1.2: Building Storm Shelters; 1.3: Fencing in Spaces Covering and Surrounding: 2.1: Triangles on Grids; 2.2: More Triangles; 2.3: Making Families of Triangles; 2.4: Designing Triangles Under Constraints Lesson 13-3: Parallelograms Covering and Surrounding: 3.1: Parallelograms and Triangles; 3.2: Making Families of Parallelograms; 3.3: Designing Parallelograms Under Constraints Lesson 13-4: Other Triangles Lesson 13-5: Polygons Covering and Surrounding: 2.1: Triangles on Grids; 2.2: More Triangles; 2.3: Making Families of Triangles; 2.4: Designing Triangles Under Constraints Covering and Surrounding: 3.4: Polygons on Coordinate Grids 8
11 Lesson 13-6: Problem Solving Topic 14: Surface Area and Volume Lesson 14-1: Analyzing Three-Dimensional Figures Lesson 14-2: Nets Lesson 14-3: Surface Areas of Prisms Lesson 14-4: Surface Areas of Pyramids Lesson 14-5: Volumes of Rectangular Prisms Lesson 14-6: Problem Solving Unit F: Statistics Topic 15: Data Displays Lesson 15-1: Statistical Questions Lesson 15-2: Dot Plots Covering and Surrounding: 1.1: Designing Bumper-Car Rides; 1.2: Building Storm Shelters; 1.3: Fencing in Spaces; 2.1: Triangles on Grids; 2.2: More Triangles; 2.3: Making Families of Triangles; 2.4: Designing Triangles Under Constraints Covering and Surrounding: 4.1: Making Rectangular Boxes; 4.2: Filling the Boxes; 4.3: Designing Gift Boxes Covering and Surrounding: 4.1: Making Rectangular Boxes; 4.2: Filling the Boxes; 4.3: Designing Gift Boxes Covering and Surrounding: 4.3: Designing Gift Boxes Covering and Surrounding: 4.3: Designing Gift Boxes Covering and Surrounding: 4.2: Filling the Boxes Covering and Surrounding: 4.1: Making Rectangular Boxes; 4.2: Filling the Boxes; 4.3: Designing Gift Boxes Data About Us: 1.1: How Many Letters Are in a Name?; 2.4: Who Else Is in Your Household?; 3.3: Is It Worth the Wait?; 4.3: How Much Taller Is a 6 th Grader Than a 2 nd Grader? Data About Us: 1.2: Describing Name Lengths; 2.1: What s a Mean Household Size?; 2.3: Making Choices; 3.1: Estimating Cereal Serving Sizes; 3.2: Connecting Cereal Shelf Location and Sugar Content; 3.3: Is It Worth the Wait?; 4.1: Traveling to School; 4.2: Jumping Rope; 4.3: How Much Taller Is a 6 th Grader Than a 2 nd Grader? 9
12 Lesson 15-3: Histograms Data About Us: 4.1: Traveling to School; 4.3: How Much Taller Is a 6 th Grader Than a 2 nd Grader? Lesson 15-4: Box Plots Lesson 15-5: Choosing an Appropriate Display Lesson 15-6: Problem Solving Topic 16: Measures of Center and Variation Lesson 16-1: Median Lesson 16-2: Mean Lesson 16-3: Variability Lesson 16-4: Interquartile Range Lesson 16-5: Mean Absolute Deviation Data About Us: 4.2: Jumping Rope; 4.3: How Much Taller Is a 6 th Grader Than a 2 nd Grader? Data About Us: 4.3: How Much Taller Is a 6 th Grader Than a 2 nd Grader? Data About Us:.1: How Many Letters Are in a Name?; 1.2: Describing Name Lengths; 2.1: What s a Mean Household Size?; 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 Content; 3.3: Is It Worth the Wait?; 4.1: Traveling to School; 4.2: Jumping Rope; 4.3: How Much Taller Is a 6 th Grader Than a 2 nd Grader? Data About Us: 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? 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? Data About Us: 3.1: Estimating Cereal Serving Sizes; 3.2: Connecting Cereal Shelf Location and Sugar Content; 3.3: Is It Worth the Wait? Data About Us: 3.1: Estimating Cereal Serving Sizes; 3.2: Connecting Cereal Shelf Location and Sugar Content; 3.3: Is It Worth the Wait?; 4.3: How Much Taller Is a 6 th Grader Than a 2 nd Grader? Data About Us: 3.3: Is It Worth the Wait? 10
13 Lesson 16-6: Problem Solving Data About Us: 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 Content; 3.3: Is It Worth the Wait?; 4.3: How Much Taller Is a 6 th Grader Than a 2 nd Grader? 11
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