# Contents

1. 1.1: Number Talk: Size of Dividend and Divisor
2. 1.2: All Stacked Up
1. Are you ready for more?
3. Lesson 1 Summary
4. Lesson 1 Practice Problems
1. 2.1: A Division Expression
1. Are you ready for more?
2. Lesson 2 Summary
3. Lesson 2 Practice Problems
1. 3.1: Dot Image: Properties of Multiplication
3. 3.3: Making Granola
4. Lesson 3 Summary
5. Lesson 3 Practice Problems
1. 4.1: Equal-sized Groups
2. 4.2: Reasoning with Pattern Blocks
3. Lesson 4 Summary
4. Lesson 4 Practice Problems
1. 5.1: Reasoning with Fraction Strips
2. 5.2: More Reasoning with Pattern Blocks
1. Are you ready for more?
3. Lesson 5 Summary
4. Lesson 5 Practice Problems
1. 6.1: How Many of These in That?
2. 6.2: Representing Groups of Fractions with Tape Diagrams
3. 6.3: Finding Number of Groups
4. Lesson 6 Summary
5. Lesson 6 Practice Problems
1. 7.1: Estimating a Fraction of a Number
2. 7.2: Fractions of Ropes
3. 7.3: Fractional Batches of Ice Cream
4. Lesson 7 Summary
5. Lesson 7 Practice Problems
1. 8.1: Inventing a Situation
2. 8.2: How Much in One Batch?
1. Are you ready for more?
3. Lesson 8 Summary
4. Lesson 8 Practice Problems
1. 9.1: Number Talk: Greater Than 1 or Less Than 1?
2. 9.2: Two Water Containers
1. Are you ready for more?
3. 9.4: Inventing Another Situation
4. Lesson 9 Summary
5. Lesson 9 Practice Problems
1. 10.1: Dividing by a Whole Number
2. 10.2: Dividing by Unit Fractions
1. Are you ready for more?
3. Lesson 10 Summary
4. Glossary
5. Lesson 10 Practice Problems
1. 11.1: Multiplying Fractions
2. 11.2: Dividing a Fraction by a Fraction
1. Are you ready for more?
3. Lesson 11 Summary
4. Lesson 11 Practice Problems
1. 12.1: Number Talk: Multiplication Strategies
1. Are you ready for more?
2. 12.3: How Many Times as Tall or as Far?
3. 12.4: Comparing Paper Rolls
4. Lesson 12 Summary
5. Lesson 12 Practice Problems
1. 13.1: Areas of Squares
2. 13.2: Areas of Squares and Rectangles
1. Are you ready for more?
3. 13.4: How Many Would it Take? (Part 2)
4. Lesson 13 Summary
5. Lesson 13 Practice Problems
1. 14.1: Area of Triangle
2. 14.2: Bases and Heights of Triangles
1. Are you ready for more?
3. Lesson 14 Summary
4. Lesson 14 Practice Problems
1. 15.1: A Box of Cubes
2. 15.2: Cubes with Fractional Edge Lengths
1. Are you ready for more?
3. Lesson 15 Summary
4. Lesson 15 Practice Problems
1. 16.1: Operations with Fractions
2. 16.2: Situations with \frac34 and \frac12
3. 16.3: Pairs of Problems
5. Lesson 16 Summary
6. Lesson 16 Practice Problems
1. 17.1: Determining Shipping Costs (Part 1)
2. 17.2: Determining Shipping Costs (Part 2)
3. 17.3: Determining Shipping Costs (Part 3)
1. Lesson 1: Size of Divisor and Size of Quotient
2. Lesson 2: Meanings of Division
3. Lesson 3: Interpreting Division Situations
4. Lesson 4: How Many Groups? (Part 1)
5. Lesson 5: How Many Groups? (Part 2)
6. Lesson 6: Using Diagrams to Find the Number of Groups
7. Lesson 7: What Fraction of a Group?
8. Lesson 8: How Much in Each Group? (Part 1)
9. Lesson 9: How Much in Each Group? (Part 2)
10. Lesson 10: Dividing by Unit and Non-Unit Fractions
11. Lesson 11: Using an Algorithm to Divide Fractions
12. Lesson 12: Fractional Lengths
13. Lesson 13: Rectangles with Fractional Side Lengths
14. Lesson 14: Fractional Lengths in Triangles and Prisms
15. Lesson 15: Volume of Prisms
16. Lesson 16: Solving Problems Involving Fractions
17. Lesson 17: Fitting Boxes into Boxes
1. 1.1: Snacks from the Concession Stand
1. Are you ready for more?
2. Lesson 1 Summary
3. Lesson 1 Practice Problems
1. 2.1: Changing Values
2. 2.2: Squares and Rectangles
1. Are you ready for more?
3. 2.4: Representing Subtraction
4. Lesson 2 Summary
5. Lesson 2 Practice Problems
1. 3.1: Do the Zeros Matter?
2. 3.2: Calculating Sums
1. Are you ready for more?
3. Lesson 3 Summary
4. Lesson 3 Practice Problems
1. 4.1: The Cost of a Photo Print
2. 4.2: Decimals All Around
1. Are you ready for more?
3. Lesson 4 Summary
4. Lesson 4 Practice Problems
1. 5.1: Multiplying by 10
2. 5.2: Fractionally Speaking: Powers of Ten
1. Are you ready for more?
3. Lesson 5 Summary
4. Lesson 5 Practice Problems
1. 6.1: Equivalent Expressions
2. 6.2: Using Properties of Numbers to Reason about Multiplication
3. 6.3: Using Area Diagrams to Reason about Multiplication
4. Lesson 6 Summary
5. Lesson 6 Practice Problems
1. 7.1: Estimate the Product
2. 7.2: Connecting Area Diagrams to Calculations with Whole Numbers
1. Are you ready for more?
3. 7.4: Using the Partial Products Method
4. Lesson 7 Summary
5. Lesson 7 Practice Problems
1. 8.1: Number Talk: Twenty Times a Number
2. 8.2: Calculating Products of Decimals
1. Are you ready for more?
3. Lesson 8 Summary
4. Lesson 8 Practice Problems
1. 9.1: Using Base-Ten Diagrams to Calculate Quotients
2. 9.2: Using the Partial Quotients Method to Calculate Quotients
3. 9.3: What’s the Quotient?
4. Lesson 9 Summary
5. Lesson 9 Practice Problems
1. 10.1: Number Talk: Estimating Quotients
2. 10.2: Lin Uses Long Division
3. 10.3: Dividing Whole Numbers
4. Lesson 10 Summary
5. Glossary
6. Lesson 10 Practice Problems
1. 11.1: Number Talk: Evaluating Quotients
2. 11.2: Keep Dividing
3. 11.3: Using Long Division to Calculate Quotients
4. Lesson 11 Summary
5. Lesson 11 Practice Problems
1. 12.1: Number Talk: Dividing by 4
1. Are you ready for more?
2. 12.3: Dividends and Divisors
3. Lesson 12 Summary
4. Lesson 12 Practice Problems
1. 13.1: Same Values
1. Are you ready for more?
2. 13.3: Two Ways to Calculate Quotients of Decimals
3. 13.4: Practicing Division with Decimals
4. Lesson 13 Summary
5. Lesson 13 Practice Problems
1. 14.1: Close Estimates
2. 14.2: Applying Division with Decimals
3. 14.3: Distance between Hurdles
4. 14.4: Examining a Tennis Court
5. Lesson 14 Summary
6. Lesson 14 Practice Problems
1. 15.1: Folding Paper Boxes
2. 15.2: Sizing Up Paper Boxes
1. Lesson 1: Using Decimals in a Shopping Context
2. Lesson 2: Using Diagrams to Represent Addition and Subtraction
3. Lesson 3: Adding and Subtracting Decimals with Few Non-Zero Digits
4. Lesson 4: Adding and Subtracting Decimals with Many Non-Zero Digits
5. Lesson 5: Decimal Points in Products
6. Lesson 6: Methods for Multiplying Decimals
7. Lesson 7: Using Diagrams to Represent Multiplication
8. Lesson 8: Calculating Products of Decimals
9. Lesson 9: Using the Partial Quotients Method
10. Lesson 10: Using Long Division
11. Lesson 11: Dividing Numbers that Result in Decimals
12. Lesson 12: Dividing Decimals by Whole Numbers
13. Lesson 13: Dividing Decimals by Decimals
14. Lesson 14: Using Operations on Decimals to Solve Problems
15. Lesson 15: Making and Measuring Boxes
1. 1.1: Which Diagram is Which?
2. 1.2: Match Equations and Tape Diagrams
1. Are you ready for more?
3. Lesson 1 Summary
4. Lesson 1 Practice Problems
1. 2.1: Three Letters
2. 2.2: Storytime
1. Are you ready for more?
3. Lesson 2 Summary
4. Glossary
5. Lesson 2 Practice Problems
1. 3.1: Hanging Around
2. 3.2: Match Equations and Hangers
1. Are you ready for more?
3. Lesson 3 Summary
4. Lesson 3 Practice Problems
1. 4.1: Number Talk: Subtracting From Five
2. 4.2: Row Game: Solving Equations Practice
1. Are you ready for more?
3. Lesson 4 Summary
4. Lesson 4 Practice Problems
1. 5.1: Recalling Ways of Solving
1. Are you ready for more?
2. 5.3: Storytime Again
3. Lesson 5 Summary
4. Lesson 5 Practice Problems
1. 6.1: Algebra Talk: When x is 6
2. 6.2: Lemonade Sales and Heights
1. Are you ready for more?
3. Lesson 6 Summary
4. Lesson 6 Practice Problems
1. 7.1: Number Talk: Percentages
2. 7.2: Representing a Percentage Problem with an Equation
1. Are you ready for more?
3. Lesson 7 Summary
4. Lesson 7 Practice Problems
1. 8.1: Algebra Talk: Solving Equations by Seeing Structure
2. 8.2: Using Diagrams to Show That Expressions are Equivalent
1. Are you ready for more?
3. Lesson 8 Summary
4. Glossary
5. Lesson 8 Practice Problems
1. 9.1: Number Talk: Ways to Multiply
2. 9.2: Ways to Represent Area of a Rectangle
1. Are you ready for more?
3. Lesson 9 Summary
4. Glossary
5. Lesson 9 Practice Problems
1. 10.1: Possible Areas
2. 10.2: Partitioned Rectangles When Lengths are Unknown
1. Are you ready for more?
3. Lesson 10 Summary
4. Lesson 10 Practice Problems
2. 11.2: Matching to Practice Distributive Property
1. Are you ready for more?
3. Lesson 11 Summary
4. Lesson 11 Practice Problems
1. 12.1: Notice and Wonder: Dots and Lines
1. Are you ready for more?
2. 12.3: Make 81
3. Lesson 12 Summary
4. Lesson 12 Practice Problems
1. 13.1: Which One Doesn’t Belong: Twos
2. 13.2: Is the Equation True?
1. Are you ready for more?
3. Lesson 13 Summary
4. Lesson 13 Practice Problems
1. 14.1: Revisiting the Cube
2. 14.2: Calculating Surface Area
1. Are you ready for more?
3. Lesson 14 Summary
4. Lesson 14 Practice Problems
1. 15.1: Up or Down?
2. 15.2: What's the Value?
1. Are you ready for more?
3. Lesson 15 Summary
4. Lesson 15 Practice Problems
1. 16.1: Which One Would You Choose?
1. Are you ready for more?
2. Lesson 16 Summary
3. Glossary
4. Lesson 16 Practice Problems
1. 17.1: Walking to the Library
1. Are you ready for more?
2. Lesson 17 Summary
3. Glossary
4. Lesson 17 Practice Problems
1. 18.1: Which One Doesn’t Belong: Graphs
2. 18.2: Making a Banner
3. 18.3: Cereal Boxes
4. 18.4: Multiplying Mosquitoes
5. Lesson 18 Summary
6. Lesson 18 Practice Problems
1. 19.1: Matching Equations and Tables
2. 19.2: Getting to Know an Equation
3. 19.3: Sharing Your Equation with Others
1. Lesson 1: Tape Diagrams and Equations
2. Lesson 2: Truth and Equations
3. Lesson 3: Staying in Balance
4. Lesson 4: Practice Solving Equations and Representing Situations with Equations
5. Lesson 5: A New Way to Interpret a over b
6. Lesson 6: Write Expressions Where Letters Stand for Numbers
7. Lesson 7: Revisit Percentages
8. Lesson 8: Equal and Equivalent
9. Lesson 9: The Distributive Property, Part 1
10. Lesson 10: The Distributive Property, Part 2
11. Lesson 11: The Distributive Property, Part 3
12. Lesson 12: Meaning of Exponents
13. Lesson 13: Expressions with Exponents
14. Lesson 14: Evaluating Expressions with Exponents
15. Lesson 15: Equivalent Exponential Expressions
16. Lesson 16: Two Related Quantities, Part 1
17. Lesson 17: Two Related Quantities, Part 2
18. Lesson 18: More Relationships
19. Lesson 19: Tables, Equations, and Graphs, Oh My!
1. Glossary