Contents
2019 Cover, IM, Student Workbook,Geometry, Units 3-5.pdf
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Geometry-Course-student-workbook3-5.pdf
Lesson 1: Scale Drawings
1.1: Is That the Same Hippo?
1.2: Sketching Stretching
1.3: Mini Me
Are you ready for more?
Lesson 1 Summary
Glossary
Lesson 1 Practice Problems
Lesson 2: Scale of the Solar System
2.1: Solar Eclipse
2.2: Shrinking the Solar System
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2.3: Shrinking the Solar System, Take 2
Lesson 2 Summary
Lesson 2 Practice Problems
Lesson 3: Measuring Dilations
3.1: Dilating Out
3.2: All the Scale Factors
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3.3: What Stays the Same?
Lesson 3 Summary
Lesson 3 Practice Problems
Lesson 4: Dilating Lines and Angles
4.1: Angle Articulation
4.2: Dilating Lines
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4.3: Proof in Parallel
Lesson 4 Summary
Lesson 4 Practice Problems
Lesson 5: Splitting Triangle Sides with Dilation, Part 1
5.1: Notice and Wonder: Midpoints
5.2: Dilation or Violation?
5.3: A Little Bit Farther Now
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Lesson 5 Summary
Lesson 5 Practice Problems
Lesson 6: Connecting Similarity and Transformations
6.1: Dilation Miscalculation
6.2: Card Sort: Not-So-Rigid Transformations
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6.3: Alphabet Soup
Lesson 6 Summary
Glossary
Lesson 6 Practice Problems
Lesson 7: Reasoning about Similarity with Transformations
7.1: Notice and Wonder: Nested Triangles
7.2: Stretched or Distorted? Triangles
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7.3: Invisible Triangles: Similarity
Lesson 7 Summary
Lesson 7 Practice Problems
Lesson 8: Are They All Similar?
8.1: Stretched or Distorted? Rectangles
8.2: Faulty Logic
8.3: Always? Prove it!
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Lesson 8 Summary
Lesson 8 Practice Problems
Lesson 9: Conditions for Triangle Similarity
9.1: Math Talk: Angle-Side-Angle As A Helpful Tool
9.2: How Many Pieces?
9.3: Any Two Angles?
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Lesson 9 Summary
Lesson 9 Practice Problems
Lesson 10: Other Conditions for Triangle Similarity
10.1: Math Talk: Triangle Congruence
10.2: Side-Angle-Side Triangle Similarity?
10.3: Side-Side-Side Triangle Similarity
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Lesson 10 Summary
Lesson 10 Practice Problems
Lesson 11: Splitting Triangle Sides with Dilation, Part 2
11.1: Notice and Wonder: Parallel Segments
11.2: Prove It: Parallel Segments
11.3: Preponderance of Proportional Relationships
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Lesson 11 Summary
Lesson 11 Practice Problems
Lesson 12: Practice With Proportional Relationships
12.1: Vegetable Garden
12.2: Card Sort: Corresponding Parts
12.3: Quilting Questions
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Lesson 12 Summary
Lesson 12 Practice Problems
Lesson 13: Using the Pythagorean Theorem and Similarity
13.1: Similar, Right?
13.2: Tangled Triangles
13.3: More Tangled Triangles
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Lesson 13 Summary
Glossary
Lesson 13 Practice Problems
Lesson 14: Proving the Pythagorean Theorem
14.1: Notice and Wonder: Variable Version
14.2: Prove Pythagoras Right
14.3: An Alternate Approach
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Lesson 14 Summary
Lesson 14 Practice Problems
Lesson 15: Finding All the Unknown Values in Triangles
15.1: Which One Doesn’t Belong: Triangles
15.2: Info Gap: Similar Sequence
15.3: Relatively Reasonable
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Lesson 15 Summary
Lesson 15 Practice Problems
Lesson 16: Bank Shot
16.1: Notice and Wonder: Right Triangles
16.2: Bank Shot
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16.3: Indirect Measurement (Mirrors)
16.4: Indirect Measurement (No Mirrors)
Lesson 16 Summary
Lesson 16 Practice Problems
Learning Targets
Lesson 1: Scale Drawings
Lesson 2: Scale of the Solar System
Lesson 3: Measuring Dilations
Lesson 4: Dilating Lines and Angles
Lesson 5: Splitting Triangle Sides with Dilation, Part 1
Lesson 6: Connecting Similarity and Transformations
Lesson 7: Reasoning about Similarity with Transformations
Lesson 8: Are They All Similar?
Lesson 9: Conditions for Triangle Similarity
Lesson 10: Other Conditions for Triangle Similarity
Lesson 11: Splitting Triangle Sides with Dilation, Part 2
Lesson 12: Practice With Proportional Relationships
Lesson 13: Using the Pythagorean Theorem and Similarity
Lesson 14: Proving the Pythagorean Theorem
Lesson 15: Finding All the Unknown Values in Triangles
Lesson 16: Bank Shot
Lesson 1: Angles and Steepness
1.1: Ratios Galore
1.2: Can You Calculate?
1.3: Is it Accessible?
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Lesson 1 Summary
Lesson 1 Practice Problems
Lesson 2: Half a Square
2.1: Diagonals of Rectangles
2.2: Decomposing Squares
2.3: Generalize Half Squares
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Lesson 2 Summary
Lesson 2 Practice Problems
Lesson 3: Half an Equilateral Triangle
3.1: Notice and Wonder: Triangle Slices
3.2: Decomposing Equilateral Triangles
3.3: Generalize Half Equilateral Triangles
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Lesson 3 Summary
Lesson 3 Practice Problems
Lesson 4: Ratios in Right Triangles
4.1: Ratio Rivalry
4.2: Tons of Triangles
4.3: Tons of Ratios
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Lesson 4 Summary
Glossary
Lesson 4 Practice Problems
Lesson 5: Working with Ratios in Right Triangles
5.1: Launch Pad
5.2: Pythagorean Triples
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5.3: Solve All the Triangles
Lesson 5 Summary
Lesson 5 Practice Problems
Lesson 6: Working with Trigonometric Ratios
6.1: This Time with Strategies
6.2: New Names, Same Ratios
6.3: Solve These Triangles
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Lesson 6 Summary
Glossary
Lesson 6 Practice Problems
Lesson 7: Applying Ratios in Right Triangles
7.1: Tilted Triangle
7.2: Info Gap: Trigonometry
7.3: Tallest Tower
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Lesson 7 Summary
Lesson 7 Practice Problems
Lesson 8: Sine and Cosine in the Same Right Triangle
8.1: Which One Doesn’t Belong: Four Triangles
8.2: Twin Triangles
8.3: Explain the Co-nnection
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Lesson 8 Summary
Lesson 8 Practice Problems
Lesson 9: Using Trigonometric Ratios to Find Angles
9.1: Once More with the Table
9.2: From Ratios to Angles
9.3: Leaning Ladders
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Lesson 9 Summary
Glossary
Lesson 9 Practice Problems
Lesson 10: Solving Problems with Trigonometry
10.1: Notice and Wonder: Practicing Perimeter
10.2: Growing Regular Polygons
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10.3: Gentle Descent
Lesson 10 Summary
Lesson 10 Practice Problems
Lesson 11: Approximating Pi
11.1: More Sides
11.2: N Sides
11.3: So Many Sides
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Lesson 11 Summary
Lesson 11 Practice Problems
Learning Targets
Lesson 1: Angles and Steepness
Lesson 2: Half a Square
Lesson 3: Half an Equilateral Triangle
Lesson 4: Ratios in Right Triangles
Lesson 5: Working with Ratios in Right Triangles
Lesson 6: Working with Trigonometric Ratios
Lesson 7: Applying Ratios in Right Triangles
Lesson 8: Sine and Cosine in the Same Right Triangle
Lesson 9: Using Trigonometric Ratios to Find Angles
Lesson 10: Solving Problems with Trigonometry
Lesson 11: Approximating Pi
Lesson 1: Solids of Rotation
1.1: Which One Doesn’t Belong: Solids
1.2: Axis of Rotation
Are you ready for more?
1.3: From Three Dimensions to Two
Lesson 1 Summary
Glossary
Lesson 1 Practice Problems
Lesson 2: Slicing Solids
2.1: Slice This
2.2: Slice That
2.3: Stack ‘Em Up
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Lesson 2 Summary
Glossary
Lesson 2 Practice Problems
Lesson 3: Creating Cross Sections by Dilating
3.1: Dilating, Again
3.2: Pyramid Mobile
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Lesson 3 Summary
Lesson 3 Practice Problems
Lesson 4: Scaling and Area
4.1: Squares and Roots
4.2: Scaling Up a Rectangle
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4.3: What About Other Shapes?
Lesson 4 Summary
Lesson 4 Practice Problems
Lesson 5: Scaling and Unscaling
5.1: Transamerica Building
5.2: Two Viewpoints
5.3: Graphing Areas and Scale Factors
Are you ready for more?
Lesson 5 Summary
Lesson 5 Practice Problems
Lesson 6: Scaling Solids
6.1: Math Talk: Cube Volumes
6.2: How Do Surface Area and Volume Change with Scaling?
6.3: Scaling All Solids
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Lesson 6 Summary
Lesson 6 Practice Problems
Lesson 7: The Root of the Problem
7.1: The Number That Cubes
7.2: Thinking Inside the Box
7.3: Satellite Scale Factors
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Lesson 7 Summary
Glossary
Lesson 7 Practice Problems
Lesson 8: Speaking of Scaling
8.1: Going Backwards
8.2: Info Gap: Originals and Dilations
8.3: Jumbo Can
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Lesson 8 Summary
Lesson 8 Practice Problems
Lesson 9: Cylinder Volumes
9.1: The Same But Different
9.2: Water Transfer
9.3: Revisiting Rotation
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Lesson 9 Summary
Lesson 9 Practice Problems
Lesson 10: Cross Sections and Volume
10.1: Two Stacks of Coins
10.2: Rectangular Prism, Shifted
Are you ready for more?
10.3: Equal Volumes?
Lesson 10 Summary
Glossary
Lesson 10 Practice Problems
Lesson 11: Prisms Practice
11.1: New Heights
11.2: The Choice is Yours
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11.3: The Cayan Tower
Lesson 11 Summary
Lesson 11 Practice Problems
Lesson 12: Prisms and Pyramids
12.1: The Faces of Geometry
12.2: Card Sort: Sorting Shapes
Are you ready for more?
12.3: Building a Prism from Pyramids
Lesson 12 Summary
Glossary
Lesson 12 Practice Problems
Lesson 13: Building a Volume Formula for a Pyramid
13.1: Cover Your Bases
13.2: Splitting a Prism into Pyramids
13.3: Comparing Cross Sections
Are you ready for more?
Lesson 13 Summary
Lesson 13 Practice Problems
Lesson 14: Working with Pyramids
14.1: Volume Matching
14.2: Practice with Pyramids
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14.3: An Icy Pyramid
Lesson 14 Summary
Lesson 14 Practice Problems
Lesson 15: Putting All the Solids Together
15.1: Math Talk: Volumes
15.2: Missing Measurements
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15.3: Spinning into Three Dimensions
Lesson 15 Summary
Lesson 15 Practice Problems
Lesson 16: Surface Area and Volume
16.1: Maximize Area
16.2: Maximize in Three Dimensions
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16.3: Assume a Spherical Elephant
16.4: Measuring Strength
Lesson 16 Summary
Lesson 16 Practice Problems
Lesson 17: Volume and Density
17.1: A Kilogram by Any Other Name
17.2: Light as a Feather
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17.3: A Fishy Situation
Lesson 17 Summary
Glossary
Lesson 17 Practice Problems
Lesson 18: Volume and Graphing
18.1: Parade Balloon: Part 1
18.2: Parade Balloon: Part 2
18.3: Beach Ball Balloon
Are you ready for more?
Lesson 18 Summary
Lesson 18 Practice Problems
Learning Targets
Lesson 1: Solids of Rotation
Lesson 2: Slicing Solids
Lesson 3: Creating Cross Sections by Dilating
Lesson 4: Scaling and Area
Lesson 5: Scaling and Unscaling
Lesson 6: Scaling Solids
Lesson 7: The Root of the Problem
Lesson 8: Speaking of Scaling
Lesson 9: Cylinder Volumes
Lesson 10: Cross Sections and Volume
Lesson 11: Prisms Practice
Lesson 12: Prisms and Pyramids
Lesson 13: Building a Volume Formula for a Pyramid
Lesson 14: Working with Pyramids
Lesson 15: Putting All the Solids Together
Lesson 16: Surface Area and Volume
Lesson 17: Volume and Density
Lesson 18: Volume and Graphing
Glossary
Attributions
Image Attributions
Citations
Unit 3: Similarity
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