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Pacing Guides

Module by: Interactive Mathematics Program

Summary: Pacing guides for the Shadows unit of IMP Year 1 (2nd edition)

50-minute agenda (27 days)

Day Activity In-Class Time Estimate
  What Is a Shadow?  
1 How Long Is a Shadow? 45
  Homework: Experimenting with Shadows 5
2 Discussion: Experimenting with Shadows 20
  The Shadow Model 25
  Introduce: POW 13: Cutting the Pie 5
  Homework: Poetical Science 0
3 Discussion: Poetical Science 10
  Shadow Data Gathering 40
  Homework: An N-by-N Window 0
4 Discussion: An N-by-N Window 15
  Working with Shadow Data 30
  Homework: More About Windows 5
5 Discussion: More About Windows 15
  The Shape of It  
  Draw the Same Shape 35
  Homework: How to Shrink It? 0
6 Discussion: How to Shrink It? 20
  The Statue of Liberty’s Nose 30
  Homework: Make It Similar 0
7 Discussion: Make It Similar 15
  Presentations: POW 13: Cutting the Pie 20
  Introduce: POW 14: Pool Pockets 15
  Homework: A Few Special Bounces 0
8 Discussion: A Few Special Bounces 10
  Ins and Outs of Proportions 35
  Homework: Similar Problems 5
9 Discussion: Similar Problems 10
  Inventing Rules 40
  Homework: Polygon Equations 0
10 Discussion: Polygon Equations 10
  Triangles Galore  
  Triangles Versus Other Polygons 35
  Homework: Angles and Counterexamples 5
11 Discussion: Angles and Counterexamples 15
  Why Are Triangles Special? 35
  Homework: More Similar Triangles 0
12 Discussion: More Similar Triangles 10
  Are Angles Enough? 40
  Homework: In Proportion 0
13 Discussion: In Proportion 20
  What’s Possible? 30
  Homework: Very Special Triangles 0
14 Discussion: Very Special Triangles 20
  Angle Observations 25
  Homework: More About Angles 5
15 Discussion: More About Angles 15
  Presentations: POW 14: Pool Pockets 20
  Introduce: POW 15: Trying Triangles 10
  Homework: Inside Similarity 5
16 Discussion: Inside Similarity 20
  A Parallel Proof 25
  Homework: Angles, Angles, Angles 5
17 Discussion: Angles, Angles, Angles 10
  The Lamp Shadow  
  Bouncing Light 30
  Homework: Now You See It, Now You Don’t 10
18 Discussion: Now You See It, Now You Don’t 10
  Mirror Magic 40
  Homework: Mirror Madness 0
19 Discussion: Mirror Madness 15
  A Shadow of a Doubt 25
  Homework: To Measure a Tree 10
20 Discussion: To Measure a Tree 20
  Presentations: POW 15: Trying Triangles 15
  Homework: POW 16: Spiralaterals 15
21 More Triangles for Shadows 25
  The Sun Shadow  
  The Sun Shadow Problem 25
  Homework: Right Triangle Ratios 0
22 Discussion: Right Triangle Ratios 15
  Sin, Cos, and Tan Revealed 10
  Homemade Trig Tables 25
  Homework: Your Opposite Is My Adjacent 0
23 Discussion: Your Opposite Is My Adjacent 15
  Homemade Trig Tables (continued) 10
  The Tree and the Pendulum 25
  Homework: Sparky and the Dude 0
24 Discussion: Sparky and the Dude 15
  A Bright, Sunny Day 25
  Beginning Portfolio Selection 10
25 Beginning Portfolio Selection (continued) 10
  Presentations: POW 16: Spiralaterals 20
  Homework: “Shadows” Portfolio 20
26 In-Class Exam 40
  Homework: Take-Home Exam 10
27 Exam Discussion 30
  Unit Reflection 20

90-minute agenda (17 days)

Day Activity In-Class Time Estimate
  What Is a Shadow?  
1 How Long Is a Shadow? 35
  Experimenting with Shadows 35
  The Shadow Model 20
  Homework: Poetical Science 0
2 Discussion: Poetical Science 10
  Shadow Data Gathering 40
  Working with Shadow Data 30
  Introduce: POW 13: Cutting the Pie 5
  Homework: An N-by-N Window 5
3 Discussion: An N-by-N Window 15
  More About Windows 35
  The Shape of It  
  Draw the Same Shape 40
  Homework: How to Shrink It? 0
4 Discussion: How to Shrink It? 20
  The Statue of Liberty’s Nose 35
  Make It Similar 35
  Homework: POW 13: Cutting the Pie (continued) 0
5 Presentations: POW 13: Cutting the Pie 25
  Ins and Outs of Proportions 40
  Introduce: POW 14: Pool Pockets 15
  Homework: A Few Special Bounces 10
6 Discussion: A Few Special Bounces 10
  Similar Problems 35
  Inventing Rules 40
  Homework: Polygon Equations 5
7 Discussion: Polygon Equations 10
  Triangles Galore  
  Triangles Versus Other Polygons 25
  Angles and Counterexamples 30
  Why Are Triangles Special? 25
  Homework: More Similar Triangles 0
8 Why Are Triangles Special? (continued) 10
  Discussion: More Similar Triangles 15
  Are Angles Enough? 35
  What’s Possible? 25
  Homework: In Proportion 5
9 Discussion: In Proportion 20
  Very Special Triangles 40
  Angle Observations 30
  Homework: More About Angles 0
10 Discussion: More About Angles 10
  Presentations: POW 14: Pool Pockets 20
  Introduce: POW 15: Trying Triangles 10
  Inside Similarity 30
  A Parallel Proof 20
  Homework: Angles, Angles, Angles 0
11 Discussion: Angles, Angles, Angles 10
  The Lamp Shadow  
  Bouncing Light 25
  Now You See It, Now You Don’t 20
  Mirror Magic 35
  Homework: Mirror Madness 0
12 Discussion: Mirror Madness 20
  A Shadow of a Doubt 25
  To Measure a Tree 45
  Homework: POW 15: Trying Triangles (continued) 0
13 Presentations: POW 15: Trying Triangles 20
  Introduce: POW 16: Spiralaterals 15
  More Triangles for Shadows 30
  The Sun Shadow  
  The Sun Shadow Problem 25
  Homework: Right Triangle Ratios 0
14 Discussion: Right Triangle Ratios 15
  Sin, Cos, and Tan Revealed 15
  Homemade Trig Tables 35
  Your Opposite Is My Adjacent 25
  Homework: POW 16: Spiralaterals (continued) 0
15 The Tree and the Pendulum 25
  Sparky and the Dude 25
  A Bright, Sunny Day 25
  Beginning Portfolio Selection 15
16 Beginning Portfolio Selection (continued) 10
  “Shadows” Portfolio 30
  In-Class Exam 40
  Homework: Take-Home Exam 10
17 Exam Discussion 30
  Presentations: POW 16: Spiralaterals 30
  Unit Reflection 30

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