Mr. Drew's Geometry Book

Harry Drew, Jan 19, 2017

Understanding deepens through engagement and investment. My hope is that students will be able to make their own books of examples illustrating the topics we cover in class. This book contains my examples as we begin to delve into this process together.

Table of Contents

  1. Chapter 1: Basics of Geometry
    1. Triangle Angle Theorem
    2. Graph the Line
    3. Area of a Circle (III)
    4. Hypotenuse Leg
    5. Side Side Side
    6. Pythagorean Theorem Visual Justification
  2. Chapter 2: Reasoning and Proofs
  3. Chapter 3: Parallel & Perpendicular Lines
  4. Chapter 4: Transformations
    1. Translation with Sliders
    2. Rotation about a Point
  5. Chapter 5: Congruent Triangles
    1. Triangle Exterior Angles
    2. Triangle Exterior Angle
    3. Exterior Angles of a Triangle
    4. Triangle Angle Sum Theorem
    5. SAS - Exercise 1A
    6. Corollary to Triangle Sum (of Right Triangles)
  6. Chapter 10: Circles
    1. Lazy River
    2. Logo
    3. Tire
    4. Fresh Flowers
    5. Cake
    6. Table
    7. Finish Line
    8. 3D Cake
    9. Tunnel
    10. Willis Tower
    11. Globe in Cylinder
    12. International Space Station
    13. Sun Earth Moon Mars distances
    14. Radar
    15. Socket Wrench
    16. Sundial
    17. Tape Spool
    18. Optimal Viewing
    19. All Aboard
    20. Satelite
  7. Student Files

1.

Chapter 1: Basics of Geometry

  • 1. Triangle Angle Theorem
  • 2. Graph the Line
  • 3. Area of a Circle (III)
  • 4. Hypotenuse Leg
  • 5. Side Side Side
  • 6. Pythagorean Theorem Visual Justification

1.1.

Triangle Angle Theorem

[color=#000000]Interact with the applet below for a few minutes.  [br]Then, answer the questions that follow.  [br][br][/color][i][color=#980000]Be sure to change the locations of the triangle's WHITE VERTICES each time before you drag the slider!!! [/color][/i]
[b][color=#980000]Questions:[/color][/b][br][br][color=#000000]1) What geometric transformations took place in the applet above?[/color][br][color=#000000]  [/color][br][color=#000000]2) When working with the triangle's interior angles, did any of these transformations [br] change the measures of the [/color][color=#0000ff]blue[/color] [color=#000000]or[/color] [color=#6aa84f]green[/color] [color=#000000]angles?  [br][br]3) From your observations, what is the sum of the measures of the interior angles of[br]    [i]any triangle?  [br][/i][br]4) When working with the triangle's exterior angles, did any of these transformations change the measures of the [/color][color=#6aa84f]green[/color][color=#000000] or [/color][color=#999999]gray[/color][color=#000000] angles? [i][br][br][/i]5) From your observations, what is the sum of the measures of the exterior angles of[br]    [i]any triangle?  [/i][/color]
– Harry Drew, Tim Brzezinski

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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2.

Chapter 2: Reasoning and Proofs


    This chapter does not contain any resources yet.

3.

Chapter 3: Parallel & Perpendicular Lines


    This chapter does not contain any resources yet.

4.

Chapter 4: Transformations

  • 1. Translation with Sliders
  • 2. Rotation about a Point

4.1.

Translation with Sliders

Adjust vertices R, A and M in addition to both the horizontal and vertical sliders.
What impact does adjusting each vertex have?[br][br]What impact does adjusting each slider have?[br][br]How does the vector fit into the conversation?
– Harry Drew

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5.

Chapter 5: Congruent Triangles

  • 1. Triangle Exterior Angles
  • 2. Triangle Exterior Angle
  • 3. Exterior Angles of a Triangle
  • 4. Triangle Angle Sum Theorem
  • 5. SAS - Exercise 1A
  • 6. Corollary to Triangle Sum (of Right Triangles)

5.1.

Triangle Exterior Angles

Investigating the exterior angle of a triangle.
Drag any of the vertices of the triangle around on the screen. Observe the angles of the triangle that have been measured for you. You should notice right away that the three interior angles always add to 180 degrees (of course!). Now, what do you notice about the marked exterior angle of the triangle? As you drag the triangle around, try to determine a relationship between this exterior angle and the interior angles.[br][br]Once you think you see the relationship, click the "show" box.[br]Write your own conjecture about the exterior angles of triangles.
– Harry Drew, Mathguru, griffinp

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6.

Chapter 10: Circles

  • 1. Lazy River
  • 2. Logo
  • 3. Tire
  • 4. Fresh Flowers
  • 5. Cake
  • 6. Table
  • 7. Finish Line
  • 8. 3D Cake
  • 9. Tunnel
  • 10. Willis Tower
  • 11. Globe in Cylinder
  • 12. International Space Station
  • 13. Sun Earth Moon Mars distances
  • 14. Radar
  • 15. Socket Wrench
  • 16. Sundial
  • 17. Tape Spool
  • 18. Optimal Viewing
  • 19. All Aboard
  • 20. Satelite

6.1.

Lazy River

– Harry Drew

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6.8.

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6.9.

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6.10.

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6.11.

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6.12.

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6.13.

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6.14.

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6.15.

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6.16.

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6.17.

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6.18.

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6.19.

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6.20.

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7.

Student Files


    This chapter does not contain any resources yet.

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