8 4 6 Student Workbook

Lesson 1: Number Puzzles
1. 1.1: Notice and Wonder: A Number Line
2. 1.2: Telling Temperatures
3. 1.3: Making a Puzzle
  1. Are you ready for more?
4. Lesson 1 Summary
5. Lesson 1 Practice Problems
Lesson 2: Keeping the Equation Balanced
1. 2.1: Notice and Wonder: Hanging Socks
2. 2.2: Hanging Blocks
3. 2.3: More Hanging Blocks
  1. Are you ready for more?
4. Lesson 2 Summary
5. Lesson 2 Practice Problems
Lesson 3: Balanced Moves
1. 3.1: Matching Hangers
2. 3.2: Matching Equation Moves
3. 3.3: Keeping Equality
  1. Are you ready for more?
4. Lesson 3 Summary
5. Lesson 3 Practice Problems
Lesson 4: More Balanced Moves
1. 4.1: Different Equations?
2. 4.2: Step by Step by Step by Step
3. 4.3: Make Your Own Steps
  1. Are you ready for more?
4. Lesson 4 Summary
5. Lesson 4 Practice Problems
Lesson 5: Solving Any Linear Equation
1. 5.1: Equation Talk
2. 5.2: Trading Moves
3. 5.3: A Puzzling Puzzle
4. Lesson 5 Summary
5. Glossary
6. Lesson 5 Practice Problems
Lesson 6: Strategic Solving
1. 6.1: Equal Perimeters
2. 6.2: Predicting Solutions
3. 6.3: Which Would You Rather Solve?
  1. Are you ready for more?
4. Lesson 6 Summary
5. Lesson 6 Practice Problems
Lesson 7: All, Some, or No Solutions
1. 7.1: Which One Doesn’t Belong: Equations
2. 7.2: Thinking About Solutions
  1. Are you ready for more?
3. 7.3: What's the Equation?
4. Lesson 7 Summary
5. Lesson 7 Practice Problems
Lesson 8: How Many Solutions?
1. 8.1: Matching Solutions
2. 8.2: Thinking About Solutions Some More
3. 8.3: Make Use of Structure
  1. Are you ready for more?
4. Lesson 8 Summary
5. Glossary
6. Lesson 8 Practice Problems
Lesson 9: When Are They the Same?
1. 9.1: Which Would You Choose?
2. 9.2: Water Tanks
3. 9.3: Elevators
  1. Are you ready for more?
4. Lesson 9 Summary
5. Lesson 9 Practice Problems
Lesson 10: On or Off the Line?
1. 10.1: Which One Doesn’t Belong: Lines in the Plane
2. 10.2: Pocket Full of Change
3. 10.3: Making Signs
  1. Are you ready for more?
4. Lesson 10 Summary
5. Lesson 10 Practice Problems
Lesson 11: On Both of the Lines
1. 11.1: Notice and Wonder: Bugs Passing in the Night
2. 11.2: Bugs Passing in the Night, Continued
3. 11.3: A Close Race
4. Lesson 11 Summary
5. Lesson 11 Practice Problems
Lesson 12: Systems of Equations
1. 12.1: Milkshakes
2. 12.2: Passing on the Trail
3. 12.3: Stacks of Cups
4. Lesson 12 Summary
5. Glossary
6. Lesson 12 Practice Problems
Lesson 13: Solving Systems of Equations
1. 13.1: True or False: Two Lines
2. 13.2: Matching Graphs to Systems
3. 13.3: Different Types of Systems
  1. Are you ready for more?
4. Lesson 13 Summary
5. Lesson 13 Practice Problems
Lesson 14: Solving More Systems
1. 14.1: Algebra Talk: Solving Systems Mentally
2. 14.2: Challenge Yourself
3. 14.3: Five Does Not Equal Seven
  1. Are you ready for more?
4. Lesson 14 Summary
5. Lesson 14 Practice Problems
Lesson 15: Writing Systems of Equations
1. 15.1: How Many Solutions? Matching
2. 15.2: Situations and Systems
3. 15.3: Info Gap: Racing and Play Tickets
4. 15.4: Solving Systems Practice
5. Lesson 15 Summary
6. Lesson 15 Practice Problems
Lesson 16: Solving Problems with Systems of Equations
1. 16.1: Are We There Yet?
2. 16.2: Cycling, Fundraising, Working, and ___?
  1. Are you ready for more?
Learning Targets
1. Lesson 1: Number Puzzles
2. Lesson 2: Keeping the Equation Balanced
3. Lesson 3: Balanced Moves
4. Lesson 4: More Balanced Moves
5. Lesson 5: Solving Any Linear Equation
6. Lesson 6: Strategic Solving
7. Lesson 7: All, Some, or No Solutions
8. Lesson 8: How Many Solutions?
9. Lesson 9: When Are They the Same?
10. Lesson 10: On or Off the Line?
11. Lesson 11: On Both of the Lines
12. Lesson 12: Systems of Equations
13. Lesson 13: Solving Systems of Equations
14. Lesson 14: Solving More Systems
15. Lesson 15: Writing Systems of Equations
16. Lesson 16: Solving Problems with Systems of Equations
17. Lesson 1: Inputs and Outputs
  1. 1.1: Dividing by 0
  2. 1.2: Guess My Rule
    1. Are you ready for more?
  3. 1.3: Making Tables
  4. Lesson 1 Summary
  5. Lesson 1 Practice Problems
18. Lesson 2: Introduction to Functions
  1. 2.1: Square Me
  2. 2.2: You Know This, Do You Know That?
  3. 2.3: Using Function Language
  4. 2.4: Same Function, Different Rule?
    1. Are you ready for more?
  5. Lesson 2 Summary
  6. Glossary
  7. Lesson 2 Practice Problems
19. Lesson 3: Equations for Functions
  1. 3.1: A Square’s Area
  2. 3.2: Diagrams, Equations, and Descriptions
    1. Are you ready for more?
  3. 3.3: Dimes and Quarters
  4. Lesson 3 Summary
  5. Glossary
  6. Lesson 3 Practice Problems
20. Lesson 4: Tables, Equations, and Graphs of Functions
  1. 4.1: Notice and Wonder: Doubling Back
  2. 4.2: Equations and Graphs of Functions
    1. Are you ready for more?
  3. 4.3: Running around a Track
  4. Lesson 4 Summary
  5. Lesson 4 Practice Problems
21. Lesson 5: More Graphs of Functions
  1. 5.1: Which One Doesn’t Belong: Graphs
  2. 5.2: Time and Temperature
  3. 5.3: Garbage
    1. Are you ready for more?
  4. Lesson 5 Summary
  5. Lesson 5 Practice Problems
22. Lesson 6: Even More Graphs of Functions
  1. 6.1: Dog Run
  2. 6.2: Which Graph is It?
  3. 6.3: Sketching a Story about a Boy and a Bike
    1. Are you ready for more?
  4. Lesson 6 Summary
  5. Lesson 6 Practice Problems
23. Lesson 7: Connecting Representations of Functions
  1. 7.1: Which are the Same? Which are Different?
  2. 7.2: Comparing Temperatures
  3. 7.3: Comparing Volumes
    1. Are you ready for more?
  4. 7.4: It’s Not a Race
  5. Lesson 7 Summary
  6. Glossary
  7. Lesson 7 Practice Problems
24. Lesson 8: Linear Functions
  1. 8.1: Bigger and Smaller
  2. 8.2: Proportional Relationships Define Linear Functions
  3. 8.3: Is it Filling Up or Draining Out?
    1. Are you ready for more?
  4. 8.4: Which is Growing Faster?
  5. Lesson 8 Summary
  6. Lesson 8 Practice Problems
25. Lesson 9: Linear Models
  1. 9.1: Candlelight
  2. 9.2: Shadows
  3. 9.3: Recycling
  4. Lesson 9 Summary
  5. Lesson 9 Practice Problems
26. Lesson 10: Piecewise Linear Functions
  1. 10.1: Notice and Wonder: Lines on Dots
  2. 10.2: Modeling Recycling
  3. 10.3: Dog Bath
  4. 10.4: Distance and Speed
    1. Are you ready for more?
  5. Lesson 10 Summary
  6. Lesson 10 Practice Problems
27. Lesson 11: Filling Containers
  1. 11.1: Which One Doesn’t Belong: Solids
  2. 11.2: Height and Volume
  3. 11.3: What Is the Shape?
    1. Are you ready for more?
  4. Lesson 11 Summary
  5. Glossary
  6. Lesson 11 Practice Problems
28. Lesson 12: How Much Will Fit?
  1. 12.1: Two Containers
  2. 12.2: What’s Your Estimate?
  3. 12.3: Do You Know These Figures?
    1. Are you ready for more?
  4. Lesson 12 Summary
  5. Glossary
  6. Lesson 12 Practice Problems
29. Lesson 13: The Volume of a Cylinder
  1. 13.1: A Circle's Dimensions
  2. 13.2: Circular Volumes
    1. Are you ready for more?
  3. 13.3: A Cylinder's Dimensions
  4. 13.4: A Cylinder's Volume
    1. Are you ready for more?
  5. Lesson 13 Summary
  6. Lesson 13 Practice Problems
30. Lesson 14: Finding Cylinder Dimensions
  1. 14.1: A Cylinder of Unknown Height
  2. 14.2: What’s the Dimension?
    1. Are you ready for more?
  3. 14.3: Cylinders with Unknown Dimensions
  4. Lesson 14 Summary
  5. Lesson 14 Practice Problems
31. Lesson 15: The Volume of a Cone
  1. 15.1: Which Has a Larger Volume?
  2. 15.2: From Cylinders to Cones
  3. 15.3: Calculate That Cone
    1. Are you ready for more?
  4. Lesson 15 Summary
  5. Lesson 15 Practice Problems
32. Lesson 16: Finding Cone Dimensions
  1. 16.1: Number Talk: Thirds
  2. 16.2: An Unknown Radius
  3. 16.3: Cones with Unknown Dimensions
    1. Are you ready for more?
  4. 16.4: Popcorn Deals
  5. Lesson 16 Summary
  6. Lesson 16 Practice Problems
33. Lesson 17: Scaling One Dimension
  1. 17.1: Driving the Distance
  2. 17.2: Double the Edge
  3. 17.3: Halve the Height
    1. Are you ready for more?
  4. 17.4: Figuring Out Cone Dimensions
  5. Lesson 17 Summary
  6. Lesson 17 Practice Problems
34. Lesson 18: Scaling Two Dimensions
  1. 18.1: Tripling Statements
  2. 18.2: A Square Base
    1. Are you ready for more?
  3. 18.3: Playing with Cones
  4. Lesson 18 Summary
  5. Lesson 18 Practice Problems
35. Lesson 19: Estimating a Hemisphere
  1. 19.1: Notice and Wonder: Two Shapes
  2. 19.2: Hemispheres in Boxes
  3. 19.3: Estimating Hemispheres
    1. Are you ready for more?
  4. Lesson 19 Summary
  5. Lesson 19 Practice Problems
36. Lesson 20: The Volume of a Sphere
  1. 20.1: Sketch a Sphere
  2. 20.2: A Sphere in a Cylinder
  3. 20.3: Spheres in Cylinders
  4. Lesson 20 Summary
  5. Lesson 20 Practice Problems
37. Lesson 21: Cylinders, Cones, and Spheres
  1. 21.1: Sphere Arguments
  2. 21.2: Sphere’s Radius
  3. 21.3: Info Gap: Unknown Dimensions
  4. 21.4: The Right Fit
    1. Are you ready for more?
  5. Lesson 21 Summary
  6. Lesson 21 Practice Problems
38. Lesson 22: Volume As a Function of . . .
  1. 22.1: Missing Information?
  2. 22.2: Scaling Volume of a Sphere
  3. 22.3: A Cylinder, a Cone, and a Sphere
Learning Targets
1. Lesson 1: Inputs and Outputs
2. Lesson 2: Introduction to Functions
3. Lesson 3: Equations for Functions
4. Lesson 4: Tables, Equations, and Graphs of Functions
5. Lesson 5: More Graphs of Functions
6. Lesson 6: Even More Graphs of Functions
7. Lesson 7: Connecting Representations of Functions
8. Lesson 8: Linear Functions
9. Lesson 9: Linear Models
10. Lesson 10: Piecewise Linear Functions
11. Lesson 11: Filling Containers
12. Lesson 12: How Much Will Fit?
13. Lesson 13: The Volume of a Cylinder
14. Lesson 14: Finding Cylinder Dimensions
15. Lesson 15: The Volume of a Cone
16. Lesson 16: Finding Cone Dimensions
17. Lesson 17: Scaling One Dimension
18. Lesson 18: Scaling Two Dimensions
19. Lesson 19: Estimating a Hemisphere
20. Lesson 20: The Volume of a Sphere
21. Lesson 21: Cylinders, Cones, and Spheres
22. Lesson 22: Volume As a Function of . . .
23. Lesson 1: Organizing Data
  1. 1.1: Notice and Wonder: Messy Data
  2. 1.2: Seeing the Data
    1. Are you ready for more?
  3. 1.3: Tables and Their Scatter Plots
  4. Lesson 1 Summary
  5. Glossary
  6. Lesson 1 Practice Problems
24. Lesson 2: Plotting Data
  1. 2.1: Representing Data
  2. 2.2: Gathering Data
  3. 2.3: Scatter Plots
    1. Are you ready for more?
  4. Lesson 2 Summary
  5. Lesson 2 Practice Problems
25. Lesson 3: What a Point in a Scatter Plot Means
  1. 3.1: The Giant Panda
  2. 3.2: Weight and Fuel Efficiency
    1. Are you ready for more?
  3. 3.3: Coat Sales
  4. Lesson 3 Summary
  5. Lesson 3 Practice Problems
26. Lesson 4: Fitting a Line to Data
  1. 4.1: Predict This
  2. 4.2: Shine Bright
  3. 4.3: The Agony of the Feet
  4. Lesson 4 Summary
  5. Glossary
  6. Lesson 4 Practice Problems
27. Lesson 5: Describing Trends in Scatter Plots
  1. 5.1: Which One Doesn’t Belong: Scatter Plots
  2. 5.2: Fitting Lines
  3. 5.3: Good Fit Bad Fit
  4. 5.4: Practice Fitting Lines
    1. Are you ready for more?
  5. Lesson 5 Summary
  6. Glossary
  7. Lesson 5 Practice Problems
28. Lesson 6: The Slope of a Fitted Line
  1. 6.1: Estimating Slope
  2. 6.2: Describing Linear Associations
  3. 6.3: Interpreting Slopes
    1. Are you ready for more?
  4. 6.4: Positive or Negative?
  5. Lesson 6 Summary
  6. Lesson 6 Practice Problems
29. Lesson 7: Observing More Patterns in Scatter Plots
  1. 7.1: Notice and Wonder: Nonlinear Scatter Plot
  2. 7.2: Scatter Plot City
  3. 7.3: Clustering
  4. Lesson 7 Summary
  5. Lesson 7 Practice Problems
30. Lesson 8: Analyzing Bivariate Data
  1. 8.1: Speed vs. Step Length
  2. 8.2: Animal Brains
    1. Are you ready for more?
  3. 8.3: Equal Body Dimensions
  4. Lesson 8 Summary
  5. Lesson 8 Practice Problems
31. Lesson 9: Looking for Associations
  1. 9.1: Notice and Wonder: Bar Association
  2. 9.2: Card Sort: Matching Representations
    1. Are you ready for more?
  3. 9.3: Building Another Type of Two-Way Table
    1. Are you ready for more?
  4. Lesson 9 Summary
  5. Glossary
  6. Lesson 9 Practice Problems
32. Lesson 10: Using Data Displays to Find Associations
  1. 10.1: Sports and Musical Instruments
  2. 10.2: Sports and Music Association
  3. 10.3: Colored Erasers
    1. Are you ready for more?
  4. Lesson 10 Summary
  5. Lesson 10 Practice Problems
33. Lesson 11: Gone In 30 Seconds
  1. 11.1: Measuring 30 Seconds
Learning Targets
1. Lesson 1: Organizing Data
2. Lesson 2: Plotting Data
3. Lesson 3: What a Point in a Scatter Plot Means
4. Lesson 4: Fitting a Line to Data
5. Lesson 5: Describing Trends in Scatter Plots
6. Lesson 6: The Slope of a Fitted Line
7. Lesson 7: Observing More Patterns in Scatter Plots
8. Lesson 8: Analyzing Bivariate Data
9. Lesson 9: Looking for Associations
10. Lesson 10: Using Data Displays to Find Associations
11. Lesson 11: Gone In 30 Seconds
Glossary
Attributions
1. Image Attributions
Notes
Notes

Contents