6 4 6 Student Workbook

Lesson 1: Size of Divisor and Size of Quotient
1. 1.1: Number Talk: Size of Dividend and Divisor
2. 1.2: All Stacked Up
3. 1.3: All in Order
  1. Are you ready for more?
4. Lesson 1 Summary
5. Lesson 1 Practice Problems
Lesson 2: Meanings of Division
1. 2.1: A Division Expression
2. 2.2: Bags of Almonds
  1. Are you ready for more?
3. Lesson 2 Summary
4. Lesson 2 Practice Problems
Lesson 3: Interpreting Division Situations
1. 3.1: Dot Image: Properties of Multiplication
2. 3.2: Homemade Jams
3. 3.3: Making Granola
4. Lesson 3 Summary
5. Lesson 3 Practice Problems
Lesson 4: How Many Groups? (Part 1)
1. 4.1: Equal-sized Groups
2. 4.2: Reasoning with Pattern Blocks
3. Lesson 4 Summary
4. Lesson 4 Practice Problems
Lesson 5: How Many Groups? (Part 2)
1. 5.1: Reasoning with Fraction Strips
2. 5.2: More Reasoning with Pattern Blocks
3. 5.3: Drawing Diagrams to Show Equal-sized Groups
  1. Are you ready for more?
4. Lesson 5 Summary
5. Lesson 5 Practice Problems
Lesson 6: Using Diagrams to Find the Number of Groups
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
Lesson 7: What Fraction of a Group?
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
Lesson 8: How Much in Each Group? (Part 1)
1. 8.1: Inventing a Situation
2. 8.2: How Much in One Batch?
3. 8.3: One Container and One Section of Highway
  1. Are you ready for more?
4. Lesson 8 Summary
5. Lesson 8 Practice Problems
Lesson 9: How Much in Each Group? (Part 2)
1. 9.1: Number Talk: Greater Than 1 or Less Than 1?
2. 9.2: Two Water Containers
3. 9.3: Amount in One Group
  1. Are you ready for more?
4. 9.4: Inventing Another Situation
5. Lesson 9 Summary
6. Lesson 9 Practice Problems
Lesson 10: Dividing by Unit and Non-Unit Fractions
1. 10.1: Dividing by a Whole Number
2. 10.2: Dividing by Unit Fractions
3. 10.3: Dividing by Non-unit Fractions
  1. Are you ready for more?
4. Lesson 10 Summary
5. Glossary
6. Lesson 10 Practice Problems
Lesson 11: Using an Algorithm to Divide Fractions
1. 11.1: Multiplying Fractions
2. 11.2: Dividing a Fraction by a Fraction
3. 11.3: Using an Algorithm to Divide Fractions
  1. Are you ready for more?
4. Lesson 11 Summary
5. Lesson 11 Practice Problems
Lesson 12: Fractional Lengths
1. 12.1: Number Talk: Multiplication Strategies
2. 12.2: Info Gap: How Many Would It Take?
  1. Are you ready for more?
3. 12.3: How Many Times as Tall or as Far?
4. 12.4: Comparing Paper Rolls
5. Lesson 12 Summary
6. Lesson 12 Practice Problems
Lesson 13: Rectangles with Fractional Side Lengths
1. 13.1: Areas of Squares
2. 13.2: Areas of Squares and Rectangles
3. 13.3: Areas of Rectangles
  1. Are you ready for more?
4. 13.4: How Many Would it Take? (Part 2)
5. Lesson 13 Summary
6. Lesson 13 Practice Problems
Lesson 14: Fractional Lengths in Triangles and Prisms
1. 14.1: Area of Triangle
2. 14.2: Bases and Heights of Triangles
3. 14.3: Volumes of Cubes and Prisms
  1. Are you ready for more?
4. Lesson 14 Summary
5. Lesson 14 Practice Problems
Lesson 15: Volume of Prisms
1. 15.1: A Box of Cubes
2. 15.2: Cubes with Fractional Edge Lengths
3. 15.3: Fish Tank and Baking Pan
  1. Are you ready for more?
4. Lesson 15 Summary
5. Lesson 15 Practice Problems
Lesson 16: Solving Problems Involving Fractions
1. 16.1: Operations with Fractions
2. 16.2: Situations with \frac34 and \frac12
3. 16.3: Pairs of Problems
4. 16.4: Baking Cookies
5. Lesson 16 Summary
6. Lesson 16 Practice Problems
Lesson 17: Fitting Boxes into Boxes
1. 17.1: Determining Shipping Costs (Part 1)
2. 17.2: Determining Shipping Costs (Part 2)
3. 17.3: Determining Shipping Costs (Part 3)
Learning Targets
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
18. Lesson 1: Using Decimals in a Shopping Context
  1. 1.1: Snacks from the Concession Stand
  2. 1.2: Planning a Dinner Party
    1. Are you ready for more?
  3. Lesson 1 Summary
  4. Lesson 1 Practice Problems
19. Lesson 2: Using Diagrams to Represent Addition and Subtraction
  1. 2.1: Changing Values
  2. 2.2: Squares and Rectangles
  3. 2.3: Finding Sums in Different Ways
    1. Are you ready for more?
  4. 2.4: Representing Subtraction
  5. Lesson 2 Summary
  6. Lesson 2 Practice Problems
20. Lesson 3: Adding and Subtracting Decimals with Few Non-Zero Digits
  1. 3.1: Do the Zeros Matter?
  2. 3.2: Calculating Sums
  3. 3.3: Subtracting Decimals of Different Lengths
    1. Are you ready for more?
  4. Lesson 3 Summary
  5. Lesson 3 Practice Problems
21. Lesson 4: Adding and Subtracting Decimals with Many Non-Zero Digits
  1. 4.1: The Cost of a Photo Print
  2. 4.2: Decimals All Around
  3. 4.3: Missing Numbers
    1. Are you ready for more?
  4. Lesson 4 Summary
  5. Lesson 4 Practice Problems
22. Lesson 5: Decimal Points in Products
  1. 5.1: Multiplying by 10
  2. 5.2: Fractionally Speaking: Powers of Ten
  3. 5.3: Fractionally Speaking: Multiples of Powers of Ten
    1. Are you ready for more?
  4. Lesson 5 Summary
  5. Lesson 5 Practice Problems
23. Lesson 6: Methods for Multiplying Decimals
  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
24. Lesson 7: Using Diagrams to Represent Multiplication
  1. 7.1: Estimate the Product
  2. 7.2: Connecting Area Diagrams to Calculations with Whole Numbers
  3. 7.3: Connecting Area Diagrams to Calculations with Decimals
    1. Are you ready for more?
  4. 7.4: Using the Partial Products Method
  5. Lesson 7 Summary
  6. Lesson 7 Practice Problems
25. Lesson 8: Calculating Products of Decimals
  1. 8.1: Number Talk: Twenty Times a Number
  2. 8.2: Calculating Products of Decimals
  3. 8.3: Practicing Multiplication of Decimals
    1. Are you ready for more?
  4. Lesson 8 Summary
  5. Lesson 8 Practice Problems
26. Lesson 9: Using the Partial Quotients Method
  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
27. Lesson 10: Using Long Division
  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
28. Lesson 11: Dividing Numbers that Result in Decimals
  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
29. Lesson 12: Dividing Decimals by Whole Numbers
  1. 12.1: Number Talk: Dividing by 4
  2. 12.2: Using Diagrams to Represent Division
    1. Are you ready for more?
  3. 12.3: Dividends and Divisors
  4. Lesson 12 Summary
  5. Lesson 12 Practice Problems
30. Lesson 13: Dividing Decimals by Decimals
  1. 13.1: Same Values
  2. 13.2: Placing Decimal Points in Quotients
    1. Are you ready for more?
  3. 13.3: Two Ways to Calculate Quotients of Decimals
  4. 13.4: Practicing Division with Decimals
  5. Lesson 13 Summary
  6. Lesson 13 Practice Problems
31. Lesson 14: Using Operations on Decimals to Solve 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
32. Lesson 15: Making and Measuring Boxes
  1. 15.1: Folding Paper Boxes
  2. 15.2: Sizing Up Paper Boxes
Learning Targets
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
16. Lesson 1: Tape Diagrams and Equations
  1. 1.1: Which Diagram is Which?
  2. 1.2: Match Equations and Tape Diagrams
  3. 1.3: Draw Diagrams for Equations
    1. Are you ready for more?
  4. Lesson 1 Summary
  5. Lesson 1 Practice Problems
17. Lesson 2: Truth and Equations
  1. 2.1: Three Letters
  2. 2.2: Storytime
  3. 2.3: Using Structure to Find Solutions
    1. Are you ready for more?
  4. Lesson 2 Summary
  5. Glossary
  6. Lesson 2 Practice Problems
18. Lesson 3: Staying in Balance
  1. 3.1: Hanging Around
  2. 3.2: Match Equations and Hangers
  3. 3.3: Connecting Diagrams to Equations and Solutions
    1. Are you ready for more?
  4. Lesson 3 Summary
  5. Lesson 3 Practice Problems
19. Lesson 4: Practice Solving Equations and Representing Situations with Equations
  1. 4.1: Number Talk: Subtracting From Five
  2. 4.2: Row Game: Solving Equations Practice
  3. 4.3: Choosing Equations to Match Situations
    1. Are you ready for more?
  4. Lesson 4 Summary
  5. Lesson 4 Practice Problems
20. Lesson 5: A New Way to Interpret a over b
  1. 5.1: Recalling Ways of Solving
  2. 5.2: Interpreting \frac{a}{b}
    1. Are you ready for more?
  3. 5.3: Storytime Again
  4. Lesson 5 Summary
  5. Lesson 5 Practice Problems
21. Lesson 6: Write Expressions Where Letters Stand for Numbers
  1. 6.1: Algebra Talk: When x is 6
  2. 6.2: Lemonade Sales and Heights
  3. 6.3: Building Expressions
    1. Are you ready for more?
  4. Lesson 6 Summary
  5. Lesson 6 Practice Problems
22. Lesson 7: Revisit Percentages
  1. 7.1: Number Talk: Percentages
  2. 7.2: Representing a Percentage Problem with an Equation
  3. 7.3: Puppies Grow Up, Revisited
    1. Are you ready for more?
  4. Lesson 7 Summary
  5. Lesson 7 Practice Problems
23. Lesson 8: Equal and Equivalent
  1. 8.1: Algebra Talk: Solving Equations by Seeing Structure
  2. 8.2: Using Diagrams to Show That Expressions are Equivalent
  3. 8.3: Identifying Equivalent Expressions
    1. Are you ready for more?
  4. Lesson 8 Summary
  5. Glossary
  6. Lesson 8 Practice Problems
24. Lesson 9: The Distributive Property, Part 1
  1. 9.1: Number Talk: Ways to Multiply
  2. 9.2: Ways to Represent Area of a Rectangle
  3. 9.3: Distributive Practice
    1. Are you ready for more?
  4. Lesson 9 Summary
  5. Glossary
  6. Lesson 9 Practice Problems
25. Lesson 10: The Distributive Property, Part 2
  1. 10.1: Possible Areas
  2. 10.2: Partitioned Rectangles When Lengths are Unknown
  3. 10.3: Areas of Partitioned Rectangles
    1. Are you ready for more?
  4. Lesson 10 Summary
  5. Lesson 10 Practice Problems
26. Lesson 11: The Distributive Property, Part 3
  1. 11.1: The Shaded Region
  2. 11.2: Matching to Practice Distributive Property
  3. 11.3: Writing Equivalent Expressions Using the Distributive Property
    1. Are you ready for more?
  4. Lesson 11 Summary
  5. Lesson 11 Practice Problems
27. Lesson 12: Meaning of Exponents
  1. 12.1: Notice and Wonder: Dots and Lines
  2. 12.2: The Genie’s Offer
    1. Are you ready for more?
  3. 12.3: Make 81
  4. Lesson 12 Summary
  5. Lesson 12 Practice Problems
28. Lesson 13: Expressions with Exponents
  1. 13.1: Which One Doesn’t Belong: Twos
  2. 13.2: Is the Equation True?
  3. 13.3: What’s Your Reason?
    1. Are you ready for more?
  4. Lesson 13 Summary
  5. Lesson 13 Practice Problems
29. Lesson 14: Evaluating Expressions with Exponents
  1. 14.1: Revisiting the Cube
  2. 14.2: Calculating Surface Area
  3. 14.3: Row Game: Expression Explosion
    1. Are you ready for more?
  4. Lesson 14 Summary
  5. Lesson 14 Practice Problems
30. Lesson 15: Equivalent Exponential Expressions
  1. 15.1: Up or Down?
  2. 15.2: What's the Value?
  3. 15.3: Exponent Experimentation
    1. Are you ready for more?
  4. Lesson 15 Summary
  5. Lesson 15 Practice Problems
31. Lesson 16: Two Related Quantities, Part 1
  1. 16.1: Which One Would You Choose?
  2. 16.2: Painting the Set
    1. Are you ready for more?
  3. Lesson 16 Summary
  4. Glossary
  5. Lesson 16 Practice Problems
32. Lesson 17: Two Related Quantities, Part 2
  1. 17.1: Walking to the Library
  2. 17.2: The Walk-a-thon
    1. Are you ready for more?
  3. Lesson 17 Summary
  4. Glossary
  5. Lesson 17 Practice Problems
33. Lesson 18: More Relationships
  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
34. Lesson 19: Tables, Equations, and Graphs, Oh My!
  1. 19.1: Matching Equations and Tables
  2. 19.2: Getting to Know an Equation
  3. 19.3: Sharing Your Equation with Others
Learning Targets
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!
Glossary
Attributions
1. Image Attributions
Notes
Notes

Contents