Geo 3 5 Student Workbook

Lesson 1: Scale Drawings
1. 1.1: Is That the Same Hippo?
2. 1.2: Sketching Stretching
3. 1.3: Mini Me
  1. Are you ready for more?
4. Lesson 1 Summary
5. Glossary
6. Lesson 1 Practice Problems
Lesson 2: Scale of the Solar System
1. 2.1: Solar Eclipse
2. 2.2: Shrinking the Solar System
  1. Are you ready for more?
3. 2.3: Shrinking the Solar System, Take 2
4. Lesson 2 Summary
5. Lesson 2 Practice Problems
Lesson 3: Measuring Dilations
1. 3.1: Dilating Out
2. 3.2: All the Scale Factors
  1. Are you ready for more?
3. 3.3: What Stays the Same?
4. Lesson 3 Summary
5. Lesson 3 Practice Problems
Lesson 4: Dilating Lines and Angles
1. 4.1: Angle Articulation
2. 4.2: Dilating Lines
  1. Are you ready for more?
3. 4.3: Proof in Parallel
4. Lesson 4 Summary
5. Lesson 4 Practice Problems
Lesson 5: Splitting Triangle Sides with Dilation, Part 1
1. 5.1: Notice and Wonder: Midpoints
2. 5.2: Dilation or Violation?
3. 5.3: A Little Bit Farther Now
  1. Are you ready for more?
4. Lesson 5 Summary
5. Lesson 5 Practice Problems
Lesson 6: Connecting Similarity and Transformations
1. 6.1: Dilation Miscalculation
2. 6.2: Card Sort: Not-So-Rigid Transformations
  1. Are you ready for more?
3. 6.3: Alphabet Soup
4. Lesson 6 Summary
5. Glossary
6. Lesson 6 Practice Problems
Lesson 7: Reasoning about Similarity with Transformations
1. 7.1: Notice and Wonder: Nested Triangles
2. 7.2: Stretched or Distorted? Triangles
  1. Are you ready for more?
3. 7.3: Invisible Triangles: Similarity
4. Lesson 7 Summary
5. Lesson 7 Practice Problems
Lesson 8: Are They All Similar?
1. 8.1: Stretched or Distorted? Rectangles
2. 8.2: Faulty Logic
3. 8.3: Always? Prove it!
  1. Are you ready for more?
4. Lesson 8 Summary
5. Lesson 8 Practice Problems
Lesson 9: Conditions for Triangle Similarity
1. 9.1: Math Talk: Angle-Side-Angle As A Helpful Tool
2. 9.2: How Many Pieces?
3. 9.3: Any Two Angles?
  1. Are you ready for more?
4. Lesson 9 Summary
5. Lesson 9 Practice Problems
Lesson 10: Other Conditions for Triangle Similarity
1. 10.1: Math Talk: Triangle Congruence
2. 10.2: Side-Angle-Side Triangle Similarity?
3. 10.3: Side-Side-Side Triangle Similarity
  1. Are you ready for more?
4. Lesson 10 Summary
5. Lesson 10 Practice Problems
Lesson 11: Splitting Triangle Sides with Dilation, Part 2
1. 11.1: Notice and Wonder: Parallel Segments
2. 11.2: Prove It: Parallel Segments
3. 11.3: Preponderance of Proportional Relationships
  1. Are you ready for more?
4. Lesson 11 Summary
5. Lesson 11 Practice Problems
Lesson 12: Practice With Proportional Relationships
1. 12.1: Vegetable Garden
2. 12.2: Card Sort: Corresponding Parts
3. 12.3: Quilting Questions
  1. Are you ready for more?
4. Lesson 12 Summary
5. Lesson 12 Practice Problems
Lesson 13: Using the Pythagorean Theorem and Similarity
1. 13.1: Similar, Right?
2. 13.2: Tangled Triangles
3. 13.3: More Tangled Triangles
  1. Are you ready for more?
4. Lesson 13 Summary
5. Glossary
6. Lesson 13 Practice Problems
Lesson 14: Proving the Pythagorean Theorem
1. 14.1: Notice and Wonder: Variable Version
2. 14.2: Prove Pythagoras Right
3. 14.3: An Alternate Approach
  1. Are you ready for more?
4. Lesson 14 Summary
5. Lesson 14 Practice Problems
Lesson 15: Finding All the Unknown Values in Triangles
1. 15.1: Which One Doesn’t Belong: Triangles
2. 15.2: Info Gap: Similar Sequence
3. 15.3: Relatively Reasonable
  1. Are you ready for more?
4. Lesson 15 Summary
5. Lesson 15 Practice Problems
Lesson 16: Bank Shot
1. 16.1: Notice and Wonder: Right Triangles
2. 16.2: Bank Shot
  1. Are you ready for more?
3. 16.3: Indirect Measurement (Mirrors)
4. 16.4: Indirect Measurement (No Mirrors)
5. Lesson 16 Summary
6. Lesson 16 Practice Problems
Learning Targets
1. Lesson 1: Scale Drawings
2. Lesson 2: Scale of the Solar System
3. Lesson 3: Measuring Dilations
4. Lesson 4: Dilating Lines and Angles
5. Lesson 5: Splitting Triangle Sides with Dilation, Part 1
6. Lesson 6: Connecting Similarity and Transformations
7. Lesson 7: Reasoning about Similarity with Transformations
8. Lesson 8: Are They All Similar?
9. Lesson 9: Conditions for Triangle Similarity
10. Lesson 10: Other Conditions for Triangle Similarity
11. Lesson 11: Splitting Triangle Sides with Dilation, Part 2
12. Lesson 12: Practice With Proportional Relationships
13. Lesson 13: Using the Pythagorean Theorem and Similarity
14. Lesson 14: Proving the Pythagorean Theorem
15. Lesson 15: Finding All the Unknown Values in Triangles
16. Lesson 16: Bank Shot
17. Lesson 1: Angles and Steepness
  1. 1.1: Ratios Galore
  2. 1.2: Can You Calculate?
  3. 1.3: Is it Accessible?
    1. Are you ready for more?
  4. Lesson 1 Summary
  5. Lesson 1 Practice Problems
18. Lesson 2: Half a Square
  1. 2.1: Diagonals of Rectangles
  2. 2.2: Decomposing Squares
  3. 2.3: Generalize Half Squares
    1. Are you ready for more?
  4. Lesson 2 Summary
  5. Lesson 2 Practice Problems
19. Lesson 3: Half an Equilateral Triangle
  1. 3.1: Notice and Wonder: Triangle Slices
  2. 3.2: Decomposing Equilateral Triangles
  3. 3.3: Generalize Half Equilateral Triangles
    1. Are you ready for more?
  4. Lesson 3 Summary
  5. Lesson 3 Practice Problems
20. Lesson 4: Ratios in Right Triangles
  1. 4.1: Ratio Rivalry
  2. 4.2: Tons of Triangles
  3. 4.3: Tons of Ratios
    1. Are you ready for more?
  4. Lesson 4 Summary
  5. Glossary
  6. Lesson 4 Practice Problems
21. Lesson 5: Working with Ratios in Right Triangles
  1. 5.1: Launch Pad
  2. 5.2: Pythagorean Triples
    1. Are you ready for more?
  3. 5.3: Solve All the Triangles
  4. Lesson 5 Summary
  5. Lesson 5 Practice Problems
22. Lesson 6: Working with Trigonometric Ratios
  1. 6.1: This Time with Strategies
  2. 6.2: New Names, Same Ratios
  3. 6.3: Solve These Triangles
    1. Are you ready for more?
  4. Lesson 6 Summary
  5. Glossary
  6. Lesson 6 Practice Problems
23. Lesson 7: Applying Ratios in Right Triangles
  1. 7.1: Tilted Triangle
  2. 7.2: Info Gap: Trigonometry
  3. 7.3: Tallest Tower
    1. Are you ready for more?
  4. Lesson 7 Summary
  5. Lesson 7 Practice Problems
24. Lesson 8: Sine and Cosine in the Same Right Triangle
  1. 8.1: Which One Doesn’t Belong: Four Triangles
  2. 8.2: Twin Triangles
  3. 8.3: Explain the Co-nnection
    1. Are you ready for more?
  4. Lesson 8 Summary
  5. Lesson 8 Practice Problems
25. Lesson 9: Using Trigonometric Ratios to Find Angles
  1. 9.1: Once More with the Table
  2. 9.2: From Ratios to Angles
  3. 9.3: Leaning Ladders
    1. Are you ready for more?
  4. Lesson 9 Summary
  5. Glossary
  6. Lesson 9 Practice Problems
26. Lesson 10: Solving Problems with Trigonometry
  1. 10.1: Notice and Wonder: Practicing Perimeter
  2. 10.2: Growing Regular Polygons
    1. Are you ready for more?
  3. 10.3: Gentle Descent
  4. Lesson 10 Summary
  5. Lesson 10 Practice Problems
27. Lesson 11: Approximating Pi
  1. 11.1: More Sides
  2. 11.2: N Sides
  3. 11.3: So Many Sides
    1. Are you ready for more?
  4. Lesson 11 Summary
  5. Lesson 11 Practice Problems
Learning Targets
1. Lesson 1: Angles and Steepness
2. Lesson 2: Half a Square
3. Lesson 3: Half an Equilateral Triangle
4. Lesson 4: Ratios in Right Triangles
5. Lesson 5: Working with Ratios in Right Triangles
6. Lesson 6: Working with Trigonometric Ratios
7. Lesson 7: Applying Ratios in Right Triangles
8. Lesson 8: Sine and Cosine in the Same Right Triangle
9. Lesson 9: Using Trigonometric Ratios to Find Angles
10. Lesson 10: Solving Problems with Trigonometry
11. Lesson 11: Approximating Pi
12. Lesson 1: Solids of Rotation
  1. 1.1: Which One Doesn’t Belong: Solids
  2. 1.2: Axis of Rotation
    1. Are you ready for more?
  3. 1.3: From Three Dimensions to Two
  4. Lesson 1 Summary
  5. Glossary
  6. Lesson 1 Practice Problems
13. Lesson 2: Slicing Solids
  1. 2.1: Slice This
  2. 2.2: Slice That
  3. 2.3: Stack ‘Em Up
    1. Are you ready for more?
  4. Lesson 2 Summary
  5. Glossary
  6. Lesson 2 Practice Problems
14. Lesson 3: Creating Cross Sections by Dilating
  1. 3.1: Dilating, Again
  2. 3.2: Pyramid Mobile
    1. Are you ready for more?
  3. Lesson 3 Summary
  4. Lesson 3 Practice Problems
15. Lesson 4: Scaling and Area
  1. 4.1: Squares and Roots
  2. 4.2: Scaling Up a Rectangle
    1. Are you ready for more?
  3. 4.3: What About Other Shapes?
  4. Lesson 4 Summary
  5. Lesson 4 Practice Problems
16. Lesson 5: Scaling and Unscaling
  1. 5.1: Transamerica Building
  2. 5.2: Two Viewpoints
  3. 5.3: Graphing Areas and Scale Factors
    1. Are you ready for more?
  4. Lesson 5 Summary
  5. Lesson 5 Practice Problems
17. Lesson 6: Scaling Solids
  1. 6.1: Math Talk: Cube Volumes
  2. 6.2: How Do Surface Area and Volume Change with Scaling?
  3. 6.3: Scaling All Solids
    1. Are you ready for more?
  4. Lesson 6 Summary
  5. Lesson 6 Practice Problems
18. Lesson 7: The Root of the Problem
  1. 7.1: The Number That Cubes
  2. 7.2: Thinking Inside the Box
  3. 7.3: Satellite Scale Factors
    1. Are you ready for more?
  4. Lesson 7 Summary
  5. Glossary
  6. Lesson 7 Practice Problems
19. Lesson 8: Speaking of Scaling
  1. 8.1: Going Backwards
  2. 8.2: Info Gap: Originals and Dilations
  3. 8.3: Jumbo Can
    1. Are you ready for more?
  4. Lesson 8 Summary
  5. Lesson 8 Practice Problems
20. Lesson 9: Cylinder Volumes
  1. 9.1: The Same But Different
  2. 9.2: Water Transfer
  3. 9.3: Revisiting Rotation
    1. Are you ready for more?
  4. Lesson 9 Summary
  5. Lesson 9 Practice Problems
21. Lesson 10: Cross Sections and Volume
  1. 10.1: Two Stacks of Coins
  2. 10.2: Rectangular Prism, Shifted
    1. Are you ready for more?
  3. 10.3: Equal Volumes?
  4. Lesson 10 Summary
  5. Glossary
  6. Lesson 10 Practice Problems
22. Lesson 11: Prisms Practice
  1. 11.1: New Heights
  2. 11.2: The Choice is Yours
    1. Are you ready for more?
  3. 11.3: The Cayan Tower
  4. Lesson 11 Summary
  5. Lesson 11 Practice Problems
23. Lesson 12: Prisms and Pyramids
  1. 12.1: The Faces of Geometry
  2. 12.2: Card Sort: Sorting Shapes
    1. Are you ready for more?
  3. 12.3: Building a Prism from Pyramids
  4. Lesson 12 Summary
  5. Glossary
  6. Lesson 12 Practice Problems
24. Lesson 13: Building a Volume Formula for a Pyramid
  1. 13.1: Cover Your Bases
  2. 13.2: Splitting a Prism into Pyramids
  3. 13.3: Comparing Cross Sections
    1. Are you ready for more?
  4. Lesson 13 Summary
  5. Lesson 13 Practice Problems
25. Lesson 14: Working with Pyramids
  1. 14.1: Volume Matching
  2. 14.2: Practice with Pyramids
    1. Are you ready for more?
  3. 14.3: An Icy Pyramid
  4. Lesson 14 Summary
  5. Lesson 14 Practice Problems
26. Lesson 15: Putting All the Solids Together
  1. 15.1: Math Talk: Volumes
  2. 15.2: Missing Measurements
    1. Are you ready for more?
  3. 15.3: Spinning into Three Dimensions
  4. Lesson 15 Summary
  5. Lesson 15 Practice Problems
27. Lesson 16: Surface Area and Volume
  1. 16.1: Maximize Area
  2. 16.2: Maximize in Three Dimensions
    1. Are you ready for more?
  3. 16.3: Assume a Spherical Elephant
  4. 16.4: Measuring Strength
  5. Lesson 16 Summary
  6. Lesson 16 Practice Problems
28. Lesson 17: Volume and Density
  1. 17.1: A Kilogram by Any Other Name
  2. 17.2: Light as a Feather
    1. Are you ready for more?
  3. 17.3: A Fishy Situation
  4. Lesson 17 Summary
  5. Glossary
  6. Lesson 17 Practice Problems
29. Lesson 18: Volume and Graphing
  1. 18.1: Parade Balloon: Part 1
  2. 18.2: Parade Balloon: Part 2
  3. 18.3: Beach Ball Balloon
    1. Are you ready for more?
  4. Lesson 18 Summary
  5. Lesson 18 Practice Problems
Learning Targets
1. Lesson 1: Solids of Rotation
2. Lesson 2: Slicing Solids
3. Lesson 3: Creating Cross Sections by Dilating
4. Lesson 4: Scaling and Area
5. Lesson 5: Scaling and Unscaling
6. Lesson 6: Scaling Solids
7. Lesson 7: The Root of the Problem
8. Lesson 8: Speaking of Scaling
9. Lesson 9: Cylinder Volumes
10. Lesson 10: Cross Sections and Volume
11. Lesson 11: Prisms Practice
12. Lesson 12: Prisms and Pyramids
13. Lesson 13: Building a Volume Formula for a Pyramid
14. Lesson 14: Working with Pyramids
15. Lesson 15: Putting All the Solids Together
16. Lesson 16: Surface Area and Volume
17. Lesson 17: Volume and Density
18. Lesson 18: Volume and Graphing
Glossary
Attributions
1. Image Attributions
Citations
1. Unit 3: Similarity
Notes
Notes

Contents