Connected Mathematics Project 3

Transcription

1 An Alignment of Connected Mathematics Project 3 Grade 6, 2014 To 2012

2 , 2014 Introduction This alignment demonstrates the effectiveness of Connected Mathematics 3 Project (CMP3) when balanced with Math Navigator. The goal of Connected Mathematics 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. Problem-centered, research-based approach Embeds important mathematical concepts in interesting problems Accessible to all levels of students Math Navigator is a math intervention program for Students in Grades Math Navigator builds on students prior knowledge with scaffolded instruction to find the root of every misconception that prevents them from fully grasping math concepts. With online assessments that identify misconceptions, the program drills down to the students way of thinking, revises their understanding of mathematical concepts, and monitors progress. Builds conceptual understanding, problem solving, and skills Supports English language learners and students with special needs Provides effective instruction as a supplemental Tier 2 intervention or a Tier 1 solution, to be used during school or in after-school or summer programs 2014 Pearson Education, Inc. or its affiliate(s). All rights reserved

3 , 2014 Connected Mathematics Project 3 Grade 6 s Prime Time... 1 Comparing Bits and Pieces... 4 Let s Be Rational Covering and Surrounding Decimal Operations Variables and Patterns Data About Us Pearson Education, Inc. or its affiliate(s). All rights reserved

4 Prime Time Investigation 1 Building on Factors and Multiples 1.1 Playing the Factor Game: Finding Proper Factors 1.2 Playing to Win: Prime and Composite Numbers 1.3 The Product Game: Finding Multiples 1.4 Rectangles and Factor Pairs 6.NS.B.4 Using Multiplication and Division to Solve SE: 49, 50, 51 TE: Positive Rational Numbers SE: 52, 53, 57, 58, 59 TE: Prime Time Investigation 2 Common Multiples and Common Factors 2.1 Riding Ferris Wheels: Choosing Common Multiples or Common Factors 2.2 Looking at Cicada Cycles: Choosing Common Multiples or Common Factors 2.3 Bagging Snacks: Choosing Common Multiples or Common Factors 6.NS.4 Using Multiplication and Division to Solve SE: 49, 50, 51 TE: Positive Rational Numbers SE: 52, 53, 57, 58, 59 TE:

5 Prime Time Investigation 3: Factorizations: Searching for Factor Strings 3.1 The Product Puzzle: Finding Factor Strings 3.2 Finding the Longest Factor String 3.3 Using Prime Factorizations 3.4 Unraveling the Locker Problem: Putting It All Together 6.EE.A.1 6.EE.A.2b 6.NS.B.4 SE: 3, 4, 12, 13, 15, 16, 17, 19 TE: 9-15, 24-28, , 21 TE: 27, 28-31, SE: 33 TE: 59 SE: 5, 6, 7, 12, 13, 16, 17, 18 TE: 14, 15, 18, 27, 32, 35 Using Multiplication and Division to Solve SE: 49, 50, 51 TE: Positive Rational Numbers SE: 52, 53, 57, 58, 59 TE:

6 Prime Time Investigation 4: Linking Multiplication and Addition: The Distributive Property 4.1 Reasoning with Even and Odd Numbers 4.2 Using the Distributive Property 4.3 Ordering Operations 4.4 Choosing an Operation 6.EE.A.1 6.EE.A.2b SE: 3, 4, 12, 13, 15, 16, 17, 19 TE: 9-15, 24-28, , 21 TE: 27, 28-31, SE: 33 TE: 59 SE: 5, 6, 7, 12, 13, 16, 17, 18 TE: 14, 15, 18, 27, 32, 35 6.EE.A.2c SE: 56, 57 TE: 19, 92 For related content, please see: TE: NS.B.4 Using Multiplication and Division to Solve SE: 49, 50, 51 TE: Positive Rational Numbers SE: 52, 53, 57, 58, 59 TE:

7 Comparing Bits and Pieces Investigation 1 Making Comparisons 1.1 Fundraising: Comparing with Fractions and Ratios 1.2 Fundraising Thermometers: Introducing Ratios 1.3 On the Line: Equivalent Fractions and the Number Line 1.4 Measuring Progress: Finding Fractional Parts 1.5 Comparing Fundraising Goals: Using Fractions and Ratios 6.RP.A.1 6.RP.A.2 6.RP.A.3 SE: 1, 2, 3, 5, 6, 7, 9 TE: 2, 6, 9-15 SE: 3, 4, 5 TE: 7-11 SE: 14, 15, 16, 17, 35, 36, 37 TE: 23-28, SE: 7, 30, 31, 32, 33 TE: 13-17, 19-22, SE: 20, 21, 22, 23, 24, 25, TE: 31-36, NS.B.4 Using Multiplication and Division to Solve SE: 49, 50, 51 TE: Positive Rational Numbers SE: 52, 53, 57, 58, 59 TE: NS.C.6 Positive and Negative Numbers SE: 3, 4, 5, 6 TE: 9-17 SE: 34, 35, 37 TE:

8 Comparing Bits and Pieces Investigation 2 Connecting 2.1 Equal Shares: Introducing rates 2.2 Unequal Shares: Using Ratios and Fractions 2.3 Making Comparisons with Rate Tables 6.RP.A.1 6.RP.A.2 SE: 1, 2, 3, 5, 6, 7, 9 TE: 2, 6, 9-15 SE: 3, 4, 5 TE: 7-11 SE: 14, 15, 16, 17, 35, 36, 37 TE: 23-28, RP.A.3 SE: 7, 30, 31, 32, 33 TE: 13-17, 19-22, SE: 20, 21, 22, 23, 24, 25, TE: 31-36, RP.A.3a SE: 24, 25, 26, 27 TE: RP.A.3b SE: 61, 62, 63, 64, 65 TE: SE: 35, 36, 37 TE:

9 Comparing Bits and Pieces Investigation 2 Connecting 2.1 Equal Shares: Introducing rates 2.2 Unequal Shares: Using Ratios and Fractions 2.3 Making Comparisons with Rate Tables 6.NS.B.4 Using Multiplication and Division to Solve SE: 49, 50, 51 TE: Positive Rational Numbers SE: 52, 53, 57, 58, 59 TE:

10 Comparing Bits and Pieces Investigation 3 Extending the Number Line 3.1 Extending the Number Line: Integers and Mixed Numbers 3.2 Estimating and Ordering Rational Numbers: Comparing Fractions to Benchmarks 3.3 Sharing 100 Things: Using Tenths and Hundredths 3.4: Decimals on the Number Line 3.5 Earthquake Relief: Moving from Fractions to Decimals 6.NS.C.5 6.NS.C.6 6.NS.C.6a Positive and Negative Numbers SE: 3, 4, 5, 6, 9, 11, 26 TE: 10-17, 21, 22, 40, 41 Positive and Negative Numbers SE: 3, 4, 5, 6 TE: 9-17 SE: 34, 35, 37 TE: Positive and Negative Numbers SE: 5, 7, 8, 9, 11 TE: 14, 15, NS.C.6c Positive and Negative Numbers SE: 3, 4, 5, 6 TE: SE: 34, 35, 37 TE: NS.C.7 Positive and Negative Numbers SE: 25, 26, 27, 28 TE: NS.C.7a Positive and Negative Numbers SE: 13, 14, 15 TE:

11 Comparing Bits and Pieces Investigation 3 Extending the Number Line 3.1 Extending the Number Line: Integers and Mixed Numbers 3.2 Estimating and Ordering Rational Numbers: Comparing Fractions to Benchmarks 3.3 Sharing 100 Things: Using Tenths and Hundredths 3.4: Decimals on the Number Line 3.5 Earthquake Relief: Moving from Fractions to Decimals 6.NS.C.7b 6.NS.C.7c 6.NS.C.7d 6.RP.A.1 Positive and Negative Numbers SE: 13, 14, 15 TE: Positive and Negative Numbers SE: 25, 27, 28 TE: Positive and Negative Numbers SE: 25, 27, 28 TE: SE: 1, 2, 3, 5, 6, 7, 9 TE: 2, 6, RP.A.2 SE: 3, 4, 5 TE: 7-11 SE: 14, 15, 16, 17, 35, 36, 37 TE: 23-28, RP.A.3 SE: 7, 30, 31, 32, 33 TE: 13-17, 19-22, SE: 20, 21, 22, 23, 24, 25, TE: 31-36,

12 Comparing Bits and Pieces Investigation 3 Extending the Number Line 3.1 Extending the Number Line: Integers and Mixed Numbers 3.2 Estimating and Ordering Rational Numbers: Comparing Fractions to Benchmarks 3.3 Sharing 100 Things: Using Tenths and Hundredths 3.4: Decimals on the Number Line 3.5 Earthquake Relief: Moving from Fractions to Decimals 6.NS.B.4 Using Multiplication and Division to Solve SE: 49, 50, 51 TE: Positive Rational Numbers SE: 52, 53, 57, 58, 59 TE:

13 Comparing Bits and Pieces Investigation 4 Working With Percents 4.1 Who s the Best?: Making Sense of Percents 4.2 Genetic Traits: Finding Percents 4.3 The Art of Comparison: Using Ratios and Percents 6.RP.A.1 6.RP.A.2 SE: 1, 2, 3, 5, 6, 7, 9 TE: 2, 6, 9-15 SE: 3, 4, 5 TE: 7-11 SE: 14, 15, 16, 17, 35, 36, 37 TE: 23-28, RP.A.3 SE: 7, 30, 31, 32, 33 TE: 13-17, 19-22, SE: 20, 21, 22, 23, 24, 25, TE: 31-36, RP.A.3b SE: 61, 62, 63, 64, 65 TE: SE: 35, 36, 37 TE: RP.A.3c Percents SE: 28, 29, 30 TE: 36, 37, 38 SE: 9, 15 TE: 12-14, 23, 26, 27 10

14 Let s Be Rational Investigation 1 Extending Addition and Subtraction of Fractions 1.1 Getting Close: Estimating Sums 1.2 Estimating Sums and Differences 1.3 Land Sections: Adding and Subtracting Fractions 1.4 Visiting the Spice Shop: Adding and Subtracting Mixed Numbers 6.NS.B.3 6.NS.B.4 Decimals and Powers of 10 SE: 67, 68, 77 TE: Positive Rational Numbers SE: 41, 42, 43, 44, 45, 46, 47 TE: 48, 49, Using Multiplication and Division to Solve SE: 49, 50, 51 TE: Positive Rational Numbers SE: 52, 53, 57, 58, 59 TE: Let s Be Rational Investigation 2 Building on Multiplying with Fractions 2.1 How Much of the Pan Have We Sold?, Finding Parts of Parts 2.2 Modeling Multiplication Situations 2.3 Changing Forms: Multiplication with Mixed Numbers 6.EE.A.3 SE: 4, 46 TE: 12, 13, 38, 67, 76 11

15 Let s Be Rational Investigation 3 Dividing with Fractions 3.1 Preparing Food: Dividing a Fraction by a Fraction 3.2 Into Pieces: Whole Numbers or Mixed Numbers Divided by Fractions 3.3 Sharing a Prize: Dividing a Fraction by a Whole Number 3.4 Examining Algorithms for Dividing Fractions 6.NS.A.1 6.EE.A.2b Operations with Fractions Multiplication and Division SE: 38, 39, 40, 41, 42, 43, 44, 45, 47, 49, 51, 53 TE: 46-49, Positive Rational Numbers SE: 10, 13, 24, 25, 26 TE: 13-17, 21, 25, 27, SE: 33 TE: 59 SE: 5, 6, 7, 12, 13, 16, 17, 18 TE: 14, 15, 18, 27, 32, 35 12

16 Let s Be Rational Investigation 4 Wrapping Up the Operations 4.1 Just the Facts: Fact Families for Addition and Subtraction 4.2 Multiplication and Division Fact Families 4.3 Becoming an Operations Sleuth 6.EE.A.2 6.EE.A.2a 20, 21 TE: 27, 28-31, TE: 27, 28-31, EE.A.2b SE: 33 TE: 59 SE: 5, 6, 7, 12, 13, 16, 17, 18 TE: 14, 15, 18, 27, 32, 35 6.EE.A.2c SE: 56, 57 TE: 19, 92 For related content, please see: 13

17 Let s Be Rational Investigation 4 Wrapping Up the Operations 4.1 Just the Facts: Fact Families for Addition and Subtraction 4.2 Multiplication and Division Fact Families 4.3 Becoming an Operations Sleuth 6.EE.A.3 6.EE.B.6 TE: SE: 4, 46 TE: 12, 13, 38, 67, 76 Rates and Ratios SE: 13 TE: 9 20, 21 TE: 27-31, EE.B.7 Equations and Inequalities SE: 7, 9, 23, 24, 25, 26 TE: 10, 14, 18, 20, 40 Rates and Ratios SE: 13 TE: 9 For related content, please see: Equations and Inequalities TE:

18 Covering and Surrounding Investigation 1 Designing Bumper Cars: Extending and Building on Area and Perimeter 1.1 Designing Bumper Car Rides: Area and Perimeter 1.2 Building Storm Shelters: Constant Area, Changing Perimeter 1.3 Fencing in Spaces: Constant Perimeter, Changing Area 6.NS.C.8 6.EE.A.2 SE: 34, 35, 37 TE: , 21 TE: 27, 28-31, EE.A.2a TE: 27, 28-31, EE.A.2c SE: 56, 57 TE: 19, 92 For related content, please see: TE: EE.A.3 SE: 4, 46 TE: 12, 13, 38, 67, 76 15

19 Covering and Surrounding Investigation 1 Designing Bumper Cars: Extending and Building on Area and Perimeter 1.1 Designing Bumper Car Rides: Area and Perimeter 1.2 Building Storm Shelters: Constant Area, Changing Perimeter 1.3 Fencing in Spaces: Constant Perimeter, Changing Area 6.EE.B.6 6.EE.C.9 Rates and Ratios SE: 13 TE: 9 20, 21 TE: 27-31, Equations and Inequalities SE: 49 TE: 79 Rates and Ratios SE: 56 TE: 92 16

20 Covering and Surrounding Investigation 2 Measuring Triangles 2.1 Triangles on Grids: Finding Area and Perimeter of Triangles 2.2 More Triangles: Identifying Base and Height 2.3 Making Families of Triangles: Maintaining the Base and the Height 2.4 Designing Triangles Under Constraints 6.EE.A.2 6.EE.A.2a 20, 21 TE: 27, 28-31, TE: 27, 28-31, EE.A.2c SE: 56, 57 TE: 19, 92 For related content, please see: TE: EE.A.3 SE: 4, 46 TE: 12, 13, 38, 67, 76 6.EE.A.4 SE: 4, 41, 46, 54, 55, 56, 57 TE: 12, 13, 38, 67, 76,

21 Covering and Surrounding Investigation 2 Measuring Triangles 2.1 Triangles on Grids: Finding Area and Perimeter of Triangles 2.2 More Triangles: Identifying Base and Height 2.3 Making Families of Triangles: Maintaining the Base and the Height 2.4 Designing Triangles Under Constraints 6.EE.B.6 6.G.A.1 Rates and Ratios SE: 13 TE: 9 20, 21 TE: 27-31, Positive Rational Numbers SE: 75, 76, 77 TE:

22 Covering and Surrounding Investigation 3 Measuring Parallelograms 3.1 Parallelograms and Triangles: Finding Area and Perimeter of Parallelograms 3.2 Making Families of Parallelograms: Maintaining the Base and the Height 3.3 Designing Parallelograms Under Constraints 3.4 Polygons on Coordinate Grids 6.NS.C.8 6.EE.A.2 SE: 34, 35, 37 TE: , 21 TE: 27, 28-31, EE.A.2a TE: 27, 28-31, EE.A.2c SE: 56, 57 TE: 19, 92 For related content, please see: TE:

23 Covering and Surrounding Investigation 3 Measuring Parallelograms 3.1 Parallelograms and Triangles: Finding Area and Perimeter of Parallelograms 3.2 Making Families of Parallelograms: Maintaining the Base and the Height 3.3 Designing Parallelograms Under Constraints 3.4 Polygons on Coordinate Grids 6.EE.B.6 6.EE.C.9 Rates and Ratios SE: 13 TE: 9 20, 21 TE: 27-31, Equations and Inequalities SE: 49 TE: 79 Rates and Ratios SE: 56 TE: 92 6.G.A.1, 6.G.A.3 Positive Rational Numbers SE: 75, 76, 77 TE:

24 Covering and Surrounding Investigation 4 Measuring Surface Area and Volume 4.1 Making Rectangular Boxes 4.2 Filling the Boxes: Finding Volume 4.3 Designing Gift Boxes: Finding Surface Area 6.EE.A.2 20, 21 TE: 27, 28-31, EE.A.2a TE: 27, 28-31, EE.A.2c SE: 56, 57 TE: 19, 92 For related content, please see: TE: EE.A.4 SE: 4, 41, 46, 54, 55, 56, 57 TE: 12, 13, 38, 67, 76,

25 Covering and Surrounding Investigation 4 Measuring Surface Area and Volume 4.1 Making Rectangular Boxes 4.2 Filling the Boxes: Finding Volume 4.3 Designing Gift Boxes: Finding Surface Area 6.EE.B.6 Rates and Ratios SE: 13 TE: 9 20, 21 TE: 27-31, EE.C.9 Equations and Inequalities SE: 49 TE: 79 Rates and Ratios SE: 56 TE: 92 6.G.A.1 Positive Rational Numbers SE: 75, 76, 77 TE: G.A.2 Positive Rational Numbers SE: 86, 87, 88 TE: G.A.4 Positive Rational Numbers SE: 79, 80, 81, 83 TE:

26 Decimal Operations Investigation 1 Decimal Operations and Estimation 1.1 Out to Lunch: Matching Operations and Questions 1.2 Getting Close: Estimating Decimal Calculations 1.3 Take a Hike: Connecting Ratios, Rates, and Decimals 6.RP.A.1 6.RP.A.2 SE: 1, 2, 3, 5, 6, 7, 9 TE: 2, 6, 9-15 SE: 3, 4, 5 TE: 7-11 SE: 14, 15, 16, 17, 35, 36, 37 TE: 23-28, RP.A.3 SE: 7, 30, 31, 32, 33 TE: 13-17, 19-22, SE: 20, 21, 22, 23, 24, 25, TE: 31-36, RP.A.3b SE: 61, 62, 63, 64, 65 TE: SE: 35, 36, 37 TE:

27 Decimal Operations Investigation 2 Adding and Subtracting Decimals 2.1 Getting Things in the Right Place: Adding Decimals 2.2 What s the Difference?: Subtracting Decimals 2.3 Connecting Operations: Fact Families 6.EE.A.2 20, 21 TE: 27, 28-31, EE.A.2a TE: 27, 28-31, EE.B.5 Equations and Inequalities SE: 3, 4, 18, 31 TE: 11, 12, 13, 21, 32, 34, 50 6.EE.B.6 Rates and Ratios SE: 13 TE: 9 20, 21 TE: 27-31,

28 Decimal Operations Investigation 2 Adding and Subtracting Decimals 2.1 Getting Things in the Right Place: Adding Decimals 2.2 What s the Difference?: Subtracting Decimals 2.3 Connecting Operations: Fact Families 6.EE.B.7 Equations and Inequalities SE: 7, 9, 23, 24, TE: 10, 14, 18, 20, 40 Rates and Ratios SE: 13 TE: 9 For related content, please see: Equations and Inequalities TE: NS.B.3 Decimals and Powers of 10 SE: 67, 68, 77 TE: Positive Rational Numbers SE: 41, 42, 43, 44, 45, 46, 47 TE: 48, 49,

29 Decimal Operations Investigation 3 Multiplying and Dividing Decimals 3.1 It s Decimal Time(s): Multiplying Decimals I 3.2 It Works Every Time: Multiplying Decimals II 3.3 How Many Times?: Dividing Decimals I 3.4 Going the Long Way: Dividing Decimals II 3.5 Challenging Cases: Dividing Decimals III 6.NS.A.1 6.NS.B.2 Operations with Fractions Multiplication and Division SE: 38, 39, 40, 41, 42, 43, 44, 45, 47, 49, 51, 53 TE: 46-49, Positive Rational Numbers SE: 10, 13, 24, 25, 26 TE: 13-17, 21, 25, 27, Positive Rational Numbers SE: 10, 11, 13 TE: SE: 12, 18, 19 TE: 26, 32, 33, 34, 35 6.NS.B.3 Decimals and Powers of 10 SE: 67, 68, 77 TE: Positive Rational Numbers SE: 41, 42, 43, 44, 45, 46, 47 TE: 48, 49, EE.B.7 Equations and Inequalities SE: 7, 9, 23, 24, 25, 26 TE: 10, 14, 18, 20, 40 Rates and Ratios SE: 13 TE: 9 For related content, please see: Equations and Inequalities TE:

30 Decimal Operations Investigation 4 Using Percents 4.1 What s the Tax on This Item? 4.2 Computing Tips 4.3 Percent Discounts 4.4 Putting Operations Together 6.RP.A.3 6.RP.A.3c SE: 7, 30, 31, 32, 33 TE: 13-17, 19-22, SE: 20, 21, 22, 23, 24, 25, TE: 31-36, Percents SE: 28, 29, 30 TE: 36, 37, 38 SE: 9, 15 TE: 12-14, 23, 26, 27 6.EE.A.3 SE: 4, 46 TE: 12, 13, 38, 67, 76 6.EE.B.6 Rates and Ratios SE: 13 TE: 9 20, 21 TE: 27-31,

31 Decimal Operations Investigation 4 Using Percents 4.1 What s the Tax on This Item? 4.2 Computing Tips 4.3 Percent Discounts 4.4 Putting Operations Together 6.EE.B.7 Equations and Inequalities SE: 7, 9, 23, 24, TE: 10, 14, 18, 20, 40 Rates and Ratios SE: 13 TE: 9 For related content, please see: Equations and Inequalities TE: NS.B.3 Decimals and Powers of 10 SE: 67, 68, 77 TE: Positive Rational Numbers SE: 41, 42, 43, 44, 45, 46, 47 TE: 48, 49,

32 Variables and Patterns Investigation 1 Variables, Tables, and Graphs 1.1 Getting Ready to Ride: Data Tables and Graphs 1.2 From Atlantic City to Lewes: Time, Rate, and Distance 1.3 From Lewes to Chincoteague Island: Stories, Tables, and Graphs 1.4 From Chincoteague to Colonial Williamsburg: Average Speed 6.EE.C.9 6.NS.C.6c Equations and Inequalities SE: 49 TE: 79 Rates and Ratios SE: 56 TE: 92 Positive and Negative Numbers SE: 3, 4, 5, 6 TE: SE: 34, 35, 37 TE: NS.C.8 SE: 34, 35, 37 TE: RP.A.3a SE: 24, 25, 26, 27 TE: RP.A.3b SE: 61, 62, 63, 64, 65 TE: SE: 35, 36, 37 TE: RP.A.3d SE: 44, 45 TE:

33 Variables and Patterns Investigation 2 Analyzing Relationships Among Variables 2.1 Renting Bicycles: Independent and Dependent Variables 2.2 Finding Customers: Linear and Nonlinear Patterns 4.3 Predicting Profits: Four- Quadrant Graphing 2.4 What s the Story?: Interpreting Graphs 6.EE.C.9 6.NS.C.6 Equations and Inequalities SE: 49 TE: 79 Rates and Ratios SE: 56 TE: 92 Positive and Negative Numbers SE: 3, 4, 5, 6 TE: 9-17 SE: 34, 35, 37 TE: NS.C.6b SE: 34, 35, 37 TE: NS.C.6c Positive and Negative Numbers SE: 3, 4, 5, 6 TE: SE: 34, 35, 37 TE: NS.C.8 SE: 34, 35, 37 TE:

34 Variables and Patterns Investigation 3 Relating Variables with Equations 3.1 Visit to Wild World: Equations with One Operation 3.2 Moving, Texting, and Measuring: Using Rates and Rate Tables 3.3 Group Discounts and a Bonus Card: Equations with Two Operations 3.4 Getting the Calculation Right: and Order of Operations 6.EE.A.1 6.EE.A.2 SE: 3, 4, 12, 13, 15, 16, 17, 19 TE: 9-15, 24-28, , 21 TE: 27, 28-31, , 21 TE: 27, 28-31, EE.A.2a TE: 27, 28-31, EE.A.2c SE: 56, 57 TE: 19, 92 For related content, please see: TE:

35 Variables and Patterns Investigation 3 Relating Variables with Equations 6.EE.A.3 SE: 4, 46 TE: 12, 13, 38, 67, Visit to Wild World: Equations with One Operation 3.2 Moving, Texting, and Measuring: Using Rates and Rate Tables 3.3 Group Discounts and a Bonus Card: Equations with Two Operations 3.4 Getting the Calculation Right: and Order of Operations 6.EE.A.4 6.EE.B.6 SE: 4, 41, 46, 54, 55, 56, 57 TE: 12, 13, 38, 67, 76, Rates and Ratios SE: 13 TE: 9 20, 21 TE: 27-31, EE.B.7 Equations and Inequalities SE: 7, 9, 23, 24, TE: 10, 14, 18, 20, 40 Rates and Ratios SE: 13 TE: 9 For related content, please see: Equations and Inequalities TE:

36 Variables and Patterns Investigation 3 Relating Variables with Equations 3.1 Visit to Wild World: Equations with One Operation 3.2 Moving, Texting, and Measuring: Using Rates and Rate Tables 3.3 Group Discounts and a Bonus Card: Equations with Two Operations 3.4 Getting the Calculation Right: and Order of Operations 6.EE.C.9 6.RP.A.2 6.RP.A.3 Equations and Inequalities SE: 49 TE: 79 Rates and Ratios SE: 56 TE: 92 SE: 3, 4, 5 TE: 7-11 SE: 14, 15, 16, 17, 35, 36, 37 TE: 23-28, SE: 7, 30, 31, 32, 33 TE: 13-17, 19-22, SE: 20, 21, 22, 23, 24, 25, TE: 31-36, RP.A.3a SE: 24, 25, 26, 27 TE: RP.A.3b SE: 61, 62, 63, 64, 65 TE: SE: 35, 36, 37 TE:

37 Variables and Patterns Investigation 3 Relating Variables with Equations 6.RP.A.3d SE: 44, 45 TE: Visit to Wild World: Equations with One Operation 3.2 Moving, Texting, and Measuring: Using Rates and Rate Tables 3.3 Group Discounts and a Bonus Card: Equations with Two Operations 3.4 Getting the Calculation Right: and Order of Operations 34

38 Variables and Patterns Investigation 4, Equations, and Inequalities 4.1 Taking the Plunge: Equivalent I 4.2 More Than One Way to Say It: Equivalent II 4.3 Putting It All Together: Equivalent III 4.4 Finding the Unknown Value: Solving Equations 4.5 It s Not Always Equal: Solving Inequalities 6.EE.A.2a 6.EE.A.2b TE: 27, 28-31, SE: 33 TE: 59 SE: 5, 6, 7, 12, 13, 16, 17, 18 TE: 14, 15, 18, 27, 32, 35 6.EE.2c SE: 56, 57 TE: 19, 92 For related content, please see: TE: EE.A.3 SE: 4, 46 TE: 12, 13, 38, 67, 76 6.EE.A.4 SE: 4, 41, 46, 54, 55, 56, 57 TE: 12, 13, 38, 67, 76,

39 Variables and Patterns Investigation 4, Equations, and Inequalities 4.1 Taking the Plunge: Equivalent I 4.2 More Than One Way to Say It: Equivalent II 4.3 Putting It All Together: Equivalent III 4.4 Finding the Unknown Value: Solving Equations 4.5 It s Not Always Equal: Solving Inequalities 6.EE.B.5 6.EE.B.6 Equations and Inequalities SE: 3, 4, 18, 31 TE: 11, 12, 13, 21, 32, 34, 50 Rates and Ratios SE: 13 TE: 9 20, 21 TE: 27-31, EE.B.7 Equations and Inequalities SE: 7, 9, 23, 24, TE: 10, 14, 18, 20, 40 Rates and Ratios SE: 13 TE: 9 For related content, please see: Equations and Inequalities TE: EE.B.8 Equations and Inequalities SE: 52, 53, 54, 55 TE:

40 Variables and Patterns Investigation 4, Equations, and Inequalities 4.1 Taking the Plunge: Equivalent I 4.2 More Than One Way to Say It: Equivalent II 4.3 Putting It All Together: Equivalent III 4.4 Finding the Unknown Value: Solving Equations 4.5 It s Not Always Equal: Solving Inequalities 6.EE.C.9 6.NS.C.8 6.RP.A.3a 6.RP.A.3b Equations and Inequalities SE: 49 TE: 79 Rates and Ratios SE: 56 TE: 92 SE: 34, 35, 37 TE: SE: 24, 25, 26, 27 TE: SE: 61, 62, 63, 64, 65 TE: SE: 35, 36, 37 TE:

41 Data About Us Investigation 1 What s in a Name: Organizing, Representing, and Describing Data 1.1 How Many Letters Are in a Name? 1.2 Describing Name Lengths: What Are the Shape, Mode, and Range? 1.3 Describing Name Lengths: What Is the Median? 6.SP.A.1, 6.SP.A.2, 6.SP.A.3, 6.SP.B.4, 6.SP.B.5, 6.SP.B.5a, 6.SP.B.5c Math Navigator is an intervention program that helps student master prerequisite skills so they can be successful with grade level content and helps repairs students misconceptions. Students are assigned to a module based on their needs, not their grade level, enabling teachers to differentiate instruction. These standards fall outside the scope of the program. Data About Us Investigation 2 Who s in Your Household? Using the Mean 2.1 What s a Mean Household Size? 2.2 Comparing Distributions with the Same Mean 2.3 Making Choices: Mean or Median? 2.4 Who Else Is in Your Household? Categorical and Numerical Data 6.SP.A.1, 6.SP.A.2, 6.SP.A.3, 6.SP.B.4, 6.SP.B.5, 6.SP.B.5a, 6.SP.B.5b, 6.SP.B.5c, 6.SP.B.5d Math Navigator is an intervention program that helps student master prerequisite skills so they can be successful with grade level content and helps repairs students misconceptions. Students are assigned to a module based on their needs, not their grade level, enabling teachers to differentiate instruction. These standards fall outside the scope of the program. 38

42 Data About Us Investigation 3 What s Your Favorite.? Measuring Variability 3.1 Estimating Cereal Serving Sizes: Determining the IQR 3.2 Connecting Cereal Shelf Location and Sugar Content: Describing Variability Using the IQR 3.3 Is It Worth the Wait: Determining and Describing Variability Using the MAD 6.RP.A.3 6.RP.A.3a 6.NS.C.6 SE: 7, 30, 31, 32, 33 TE: 13-17, 19-22, SE: 20, 21, 22, 23, 24, 25, TE: 31-36, SE: 24, 25, 26, 27 TE: Positive and Negative Numbers SE: 3, 4, 5, 6 TE: 9-17 SE: 34, 35, 37 TE: NS.C.7 Positive and Negative Numbers SE: 25, 26, 27, 28 TE:

43 Data About Us Investigation 3 What s Your Favorite.? Measuring Variability 3.1 Estimating Cereal Serving Sizes: Determining the IQR 3.2 Connecting Cereal Shelf Location and Sugar Content: Describing Variability Using the IQR 3.3 Is It Worth the Wait: Determining and Describing Variability Using the MAD 6.SP.A.1, 6.SP.A.2, 6.SP.A.3m 6.SP.B.4, 6.SP.B.5, 6.SP.B.5c, 6.SP.B.5d Math Navigator is an intervention program that helps student master prerequisite skills so they can be successful with grade level content and helps repairs students misconceptions. Students are assigned to a module based on their needs, not their grade level, enabling teachers to differentiate instruction. These standards fall outside the scope of the program. 40

44 Data About Us Investigation 4 What Numbers Describe Us? Using Graphs to Group Data 4.1 Traveling to School: Histograms 4.2 Jumping Rope: Box and- Whisker Plots 4.3 How Much Taller Is a 6 th Grader Than a 2 nd Grader? : Taking Variability into Consideration 6.NS.C.6 6.NS.C.7 6.SP.A.1, 6.SP.A.2, 6.SP.A.3, 6.SP.B.4, 6.SP.B.5, 6.SP.B.5a, 6.SP.B.5c, 6.SP.B.5d Positive and Negative Numbers SE: 3, 4, 5, 6 TE: 9-17 SE: 34, 35, 37 TE: Positive and Negative Numbers SE: 25, 26, 27, 28 TE: Math Navigator is an intervention program that helps student master prerequisite skills so they can be successful with grade level content and helps repairs students misconceptions. Students are assigned to a module based on their needs, not their grade level, enabling teachers to differentiate instruction. These standards fall outside the scope of the program. 41