7 7 8 Accelerated Student Workbook

Lesson 1: Exponent Review
1. 1.1: Which One Doesn’t Belong: Twos
2. 1.2: Return of the Genie
3. 1.3: Broken Coin
  1. Are you ready for more?
4. Lesson 1 Summary
5. Glossary
6. Lesson 1 Practice Problems
Lesson 2: Multiplying Powers of Ten
1. 2.1: 100, 1, or \frac14{100} ?
2. 2.2: Picture a Power of 10
3. 2.3: Multiplying Powers of Ten
  1. Are you ready for more?
4. Lesson 2 Summary
5. Lesson 2 Practice Problems
Lesson 3: Powers of Powers of 10
1. 3.1: Big Cube
2. 3.2: Raising Powers of 10 to Another Power
3. 3.3: How Do the Rules Work?
  1. Are you ready for more?
4. Lesson 3 Summary
5. Glossary
6. Lesson 3 Practice Problems
Lesson 4: Dividing Powers of 10
1. 4.1: A Surprising One
2. 4.2: Dividing Powers of Ten
  1. Are you ready for more?
3. 4.3: Zero Exponent
4. 4.4: Making Millions
5. Lesson 4 Summary
6. Lesson 4 Practice Problems
Lesson 5: Negative Exponents with Powers of 10
1. 5.1: Number Talk: What's That Exponent?
2. 5.2: Negative Exponent Table
3. 5.3: Follow the Exponent Rules
  1. Are you ready for more?
4. Lesson 5 Summary
5. Lesson 5 Practice Problems
Lesson 6: What about Other Bases?
1. 6.1: True or False: Comparing Expressions with Exponents
2. 6.2: What Happens with Zero and Negative Exponents?
  1. Are you ready for more?
3. 6.3: Exponent Rules with Bases Other than 10
4. Lesson 6 Summary
5. Lesson 6 Practice Problems
Lesson 7: Practice with Rational Bases
1. 7.1: Which One Doesn’t Belong: Exponents
2. 7.2: Exponent Rule Practice
3. 7.3: Inconsistent Bases
  1. Are you ready for more?
4. Lesson 7 Summary
5. Glossary
6. Lesson 7 Practice Problems
Lesson 8: Combining Bases
1. 8.1: Same Exponent, Different Base
2. 8.2: Power of Products
3. 8.3: How Many Ways Can You Make 3,600?
  1. Are you ready for more?
4. Lesson 8 Summary
5. Lesson 8 Practice Problems
Lesson 9: Describing Large and Small Numbers Using Powers of 10
1. 9.1: Thousand Million Billion Trillion
2. 9.2: Base-ten Representations Matching
3. 9.3: Using Powers of 10 to Describe Large and Small Numbers
  1. Are you ready for more?
4. Lesson 9 Summary
5. Lesson 9 Practice Problems
Lesson 10: Representing Large Numbers on the Number Line
1. 10.1: Labeling Tick Marks on a Number Line
2. 10.2: Comparing Large Numbers with a Number Line
3. 10.3: The Speeds of Light
  1. Are you ready for more?
4. Lesson 10 Summary
5. Lesson 10 Practice Problems
Lesson 11: Representing Small Numbers on the Number Line
1. 11.1: Small Numbers on a Number Line
2. 11.2: Comparing Small Numbers on a Number Line
3. 11.3: Atomic Scale
4. Lesson 11 Summary
5. Lesson 11 Practice Problems
Lesson 12: Applications of Arithmetic with Powers of 10
1. 12.1: What Information Do You Need?
2. 12.2: Meter Sticks to the Moon
  1. Are you ready for more?
3. 12.3: The “Science” of Scientific Notation
4. 12.4: Scientific Notation Matching
  1. Are you ready for more?
5. Lesson 12 Summary
6. Glossary
7. Lesson 12 Practice Problems
Lesson 13: Multiplying, Dividing, and Estimating with Scientific Notation
1. 13.1: True or False: Equations
2. 13.2: Biomass
3. 13.3: Info Gap: Distances in the Solar System
4. 13.4: Professions in the United States
5. Lesson 13 Summary
6. Lesson 13 Practice Problems
Lesson 14: Adding and Subtracting with Scientific Notation
1. 14.1: Number Talk: Non-zero Digits
2. 14.2: Measuring the Planets
3. 14.3: A Celestial Dance
  1. Are you ready for more?
4. 14.4: Old McDonald's Massive Farm
5. Lesson 14 Summary
6. Lesson 14 Practice Problems
Lesson 15: Is a Smartphone Smart Enough to Go to the Moon?
1. 15.1: Old Hardware, New Hardware
2. 15.2: A Bit More on Bytes
  1. Are you ready for more?
Learning Targets
1. Lesson 1: Exponent Review
2. Lesson 2: Multiplying Powers of Ten
3. Lesson 3: Powers of Powers of 10
4. Lesson 4: Dividing Powers of 10
5. Lesson 5: Negative Exponents with Powers of 10
6. Lesson 6: What about Other Bases?
7. Lesson 7: Practice with Rational Bases
8. Lesson 8: Combining Bases
9. Lesson 9: Describing Large and Small Numbers Using Powers of 10
10. Lesson 10: Representing Large Numbers on the Number Line
11. Lesson 11: Representing Small Numbers on the Number Line
12. Lesson 12: Applications of Arithmetic with Powers of 10
13. Lesson 13: Multiplying, Dividing, and Estimating with Scientific Notation
14. Lesson 14: Adding and Subtracting with Scientific Notation
15. Lesson 15: Is a Smartphone Smart Enough to Go to the Moon?
16. Lesson 1: The Areas of Squares and Their Side Lengths
  1. 1.1: Two Regions
  2. 1.2: Decomposing to Find Area
    1. Are you ready for more?
  3. 1.3: Estimating Side Lengths from Areas
  4. 1.4: Making Squares
  5. Lesson 1 Summary
  6. Lesson 1 Practice Problems
17. Lesson 2: Side Lengths and Areas
  1. 2.1: Notice and Wonder: Intersecting Circles
  2. 2.2: One Square
    1. Are you ready for more?
  3. 2.3: The Sides and Areas of Tilted Squares
  4. Lesson 2 Summary
  5. Glossary
  6. Lesson 2 Practice Problems
18. Lesson 3: Rational and Irrational Numbers
  1. 3.1: Algebra Talk: Positive Solutions
  2. 3.2: Three Squares
  3. 3.3: Looking for a Solution
  4. 3.4: Looking for \sqrt2
    1. Are you ready for more?
  5. Lesson 3 Summary
  6. Glossary
  7. Lesson 3 Practice Problems
19. Lesson 4: Square Roots on the Number Line
  1. 4.1: Notice and Wonder: Diagonals
  2. 4.2: Squaring Lines
  3. 4.3: Square Root of 3
    1. Are you ready for more?
  4. 4.4: Solutions on a Number Line
  5. Lesson 4 Summary
  6. Lesson 4 Practice Problems
20. Lesson 5: Finding Side Lengths of Triangles
  1. 5.1: Which One Doesn’t Belong: Triangles
  2. 5.2: A Table of Triangles
  3. 5.3: Meet the Pythagorean Theorem
    1. Are you ready for more?
  4. Lesson 5 Summary
  5. Glossary
  6. Lesson 5 Practice Problems
21. Lesson 6: A Proof of the Pythagorean Theorem
  1. 6.1: Notice and Wonder: A Square and Four Triangles
  2. 6.2: Adding Up Areas
    1. Are you ready for more?
  3. 6.3: Find the Missing Side Lengths
    1. Are you ready for more?
  4. 6.4: A Transformational Proof
  5. Lesson 6 Summary
  6. Lesson 6 Practice Problems
22. Lesson 7: The Converse
  1. 7.1: The Hands of a Clock
  2. 7.2: Proving the Converse
    1. Are you ready for more?
  3. 7.3: Calculating Legs of Right Triangles
  4. Lesson 7 Summary
  5. Lesson 7 Practice Problems
23. Lesson 8: Applications of the Pythagorean Theorem
  1. 8.1: Closest Estimate: Square Roots
  2. 8.2: Cutting Corners
    1. Are you ready for more?
  3. 8.3: Internal Dimensions
  4. Lesson 8 Summary
  5. Lesson 8 Practice Problems
24. Lesson 9: Finding Distances in the Coordinate Plane
  1. 9.1: Closest Distance
  2. 9.2: How Far Apart?
  3. 9.3: Perimeters with Pythagoras
    1. Are you ready for more?
  4. 9.4: Finding the Right Distance
  5. Lesson 9 Summary
  6. Lesson 9 Practice Problems
25. Lesson 10: Edge Lengths, Volumes, and Cube Roots
  1. 10.1: Ordering Squares and Cubes
  2. 10.2: Card Sort: Rooted in the Number Line
  3. 10.3: Cube Root Values
  4. 10.4: Solutions on a Number Line
    1. Are you ready for more?
  5. Lesson 10 Summary
  6. Glossary
  7. Lesson 10 Practice Problems
26. Lesson 11: Decimal Representations of Rational Numbers
  1. 11.1: Notice and Wonder: Shaded Bars
  2. 11.2: Halving the Length
  3. 11.3: Recalculating Rational Numbers
  4. 11.4: Zooming In On \fracLato{11}
    1. Are you ready for more?
  5. Lesson 11 Summary
  6. Glossary
  7. Lesson 11 Practice Problems
27. Lesson 12: Infinite Decimal Expansions
  1. 12.1: Searching for Digits
  2. 12.2: Some Numbers Are Rational
    1. Are you ready for more?
  3. 12.3: Some Numbers Are Not Rational
  4. Lesson 12 Summary
  5. Lesson 12 Practice Problems
28. Lesson 13: When Is the Same Size Not the Same Size?
  1. 13.1: Three Figures
  2. 13.2: A 4:3 Rectangle
  3. 13.3: The Screen Is the Same Size . . . Or Is It?
Learning Targets
1. Lesson 1: The Areas of Squares and Their Side Lengths
2. Lesson 2: Side Lengths and Areas
3. Lesson 3: Rational and Irrational Numbers
4. Lesson 4: Square Roots on the Number Line
5. Lesson 5: Finding Side Lengths of Triangles
6. Lesson 6: A Proof of the Pythagorean Theorem
7. Lesson 7: The Converse
8. Lesson 8: Applications of the Pythagorean Theorem
9. Lesson 9: Finding Distances in the Coordinate Plane
10. Lesson 10: Edge Lengths, Volumes, and Cube Roots
11. Lesson 11: Decimal Representations of Rational Numbers
12. Lesson 12: Infinite Decimal Expansions
13. Lesson 13: When Is the Same Size Not the Same Size?
14. Lesson 1: Tessellations of the Plane
  1. 1.1: Notice and Wonder: Polygon Patterns
  2. 1.2: Tessellations
  3. 1.3: Describing a Tessellation
15. Lesson 2: Regular Tessellations
  1. 2.1: Regular Tessellations
  2. 2.2: Equilateral Triangle Tessellation
  3. 2.3: Regular Tessellation for Other Polygons
16. Lesson 3: Tessellating Polygons
  1. 3.1: Triangle Tessellations
  2. 3.2: Quadrilateral Tessellations
  3. 3.3: Pentagonal Tessellations
17. Lesson 4: Planning Recipes
  1. 4.1: A Recipe for Your Restaurant
    1. Are you ready for more?
  2. 4.2: Health Claims
18. Lesson 5: Costs of Running a Restaurant
  1. 5.1: Introducing Spreadsheets
  2. 5.2: Cost per Serving
19. Lesson 6: More Costs of Running a Restaurant
  1. 6.1: Are We Making Money?
  2. 6.2: Disposable or Reusable?
20. Lesson 7: Restaurant Floor Plan
  1. 7.1: Dining Area
    1. Are you ready for more?
  2. 7.2: Cold Storage
21. Lesson 8: Fermi Problems
  1. 8.1: How Old Are You?
  2. 8.2: A Heart Stoppingly Large Number
  3. 8.3: All the Hairs on Your Head
22. Lesson 9: More Expressions and Equations
  1. 9.1: Tickets for the School Play
  2. 9.2: A Souvenir Stand
  3. 9.3: Jada Crochets a Scarf
23. Lesson 10: What Influences Temperature?
  1. 10.1: Temperature Changes
  2. 10.2: Is Temperature a Function of Latitude?
  3. 10.3: Is There an Association Between Latitude and Temperature?
24. Lesson 11: Plotting the Weather
  1. 11.1: California Rain
  2. 11.2: Data Snooping
  3. 11.3: Temperature vs. Latitude
25. Lesson 12: Using and Interpreting a Mathematical Model
  1. 12.1: Using a Mathematical Model
  2. 12.2: Interpreting a Mathematical Model
Glossary
Attributions
1. Image Attributions
Notes
Notes

Contents