Transformations

Jennifer Silverman, Sep 27, 2018

Dedicated to John Golden.

Table of Contents

  1. Translations
    1. Translations Intro #1
    2. Translations Intro #2
    3. Translations Intro #3
    4. Translations Puzzle
  2. Rotations Intro and Art Project - Class Quilt
    1. Rotations Intro #1
    2. Rotations Intro #2
    3. Rotations as Art - Storm Clouds
    4. Rotations as Art - Soda Cans
    5. Rotations as Art - Stadium Seats
    6. Rotations as Art - Smoke
    7. Rotations as Art - Sand Dune
    8. Rotations as Art - Road Crew
    9. Rotations as Art - River
    10. Rotations as Art - Paint
    11. Rotations as Art - Lightning
    12. Rotations as Art - Leaf
    13. Rotations as Art - Fire
    14. Rotations as Art - Fireworks
    15. Rotations as Art - Epcot
    16. Rotations as Art - Crates
    17. Rotations as Art - Cow
    18. Rotations as Art - Corn
    19. Rotations as Art - Copper
    20. Rotations as Art - Bulb
  3. "A-Mazing" Translation and Rotation Practice
    1. "A-Mazing" Translation and Rotation Practice 1
    2. "A-Mazing" Translation and Rotation Practice 2
    3. "A-Mazing" Translation & Rotation 3
    4. "A-Mazing" Translation and Rotation Practice 4
    5. "A-Mazing" Translation and Rotation Practice 5
    6. "A-Mazing" Translation and Rotation Challenge
  4. Reflections
    1. Reflections Introduction
    2. Flip Flop Reflection
  5. Dilations
    1. Dilation Introduction: Transformers!
    2. Dilation Introduction
    3. Dilations of a Triangle wrt One of its Vertices 2
    4. Applet for Multiple Transformations
  6. Applications
    1. Moo-ving Cows
    2. Kandinksy Transformations Puzzle
    3. À la Kandinsky - Art by Transformations
    4. Six Pattern Blocks
  7. Uppercase Alphabet Tiles
    1. Uppercase A
    2. Uppercase B
    3. Uppercase C
    4. Uppercase D
    5. Uppercase E
    6. Uppercase F
    7. Uppercase G
    8. Uppercase H
    9. Uppercase I
    10. Uppercase J
    11. Uppercase K
    12. Uppercase L
    13. Uppercase M
    14. Uppercase N
    15. Uppercase O
    16. Uppercase P
    17. Uppercase Q
    18. Uppercase R
    19. Uppercase S
    20. Uppercase T
    21. Uppercase U
    22. Uppercase V
    23. Uppercase W
    24. Uppercase X
    25. Uppercase Y
    26. Uppercase Z
  8. Animations
    1. Animated Twitter Bird
    2. Slimer Slider
    3. The Flying Carpet by Viktor Vasnetsov (Animation)
    4. Cyclades Windmill

1.

Translations

  • 1. Translations Intro #1
  • 2. Translations Intro #2
  • 3. Translations Intro #3
  • 4. Translations Puzzle

1.1.

Translations Intro #1

Move the vector to locate the coordinates of the vertices of the new triangle. Plot those points and draw the new triangle.
– Jennifer Silverman

1.2.

–

1.3.

–

1.4.

–

2.

Rotations Intro and Art Project - Class Quilt

Images ready to be rotated to make interesting quilt squares.

  • 1. Rotations Intro #1
  • 2. Rotations Intro #2
  • 3. Rotations as Art - Storm Clouds
  • 4. Rotations as Art - Soda Cans
  • 5. Rotations as Art - Stadium Seats
  • 6. Rotations as Art - Smoke
  • 7. Rotations as Art - Sand Dune
  • 8. Rotations as Art - Road Crew
  • 9. Rotations as Art - River
  • 10. Rotations as Art - Paint
  • 11. Rotations as Art - Lightning
  • 12. Rotations as Art - Leaf
  • 13. Rotations as Art - Fire
  • 14. Rotations as Art - Fireworks
  • 15. Rotations as Art - Epcot
  • 16. Rotations as Art - Crates
  • 17. Rotations as Art - Cow
  • 18. Rotations as Art - Corn
  • 19. Rotations as Art - Copper
  • 20. Rotations as Art - Bulb

2.1.

Rotations Intro #1

Rotate △ABC 90° at a time counterclockwise around point A.
– Jennifer Silverman

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

2.7.

–

2.8.

–

2.9.

–

2.10.

–

2.11.

–

2.12.

–

2.13.

–

2.14.

–

2.15.

–

2.16.

–

2.17.

–

2.18.

–

2.19.

–

2.20.

–

3.

"A-Mazing" Translation and Rotation Practice

Students navigate mazes using vector translation and rotation.

  • 1. "A-Mazing" Translation and Rotation Practice 1
  • 2. "A-Mazing" Translation and Rotation Practice 2
  • 3. "A-Mazing" Translation & Rotation 3
  • 4. "A-Mazing" Translation and Rotation Practice 4
  • 5. "A-Mazing" Translation and Rotation Practice 5
  • 6. "A-Mazing" Translation and Rotation Challenge

3.1.

"A-Mazing" Translation and Rotation Practice 1

Move the car through the maze! There is workspace for any vectors you may need to create. You may also need to plot points for rotation.
If you are working in the downloaded version of GeoGebra (the Java version), you can see your steps. Right click on the grid and check Navigation Bar. Play back your steps and watch the car go through the maze! Click on View and check Construction Protocol; this shows your steps. [br][br]Take a screenshot of the whole page for your teacher.
– Jennifer Silverman

3.2.

–

3.3.

–

3.4.

–

3.5.

–

3.6.

–

4.

Reflections

  • 1. Reflections Introduction
  • 2. Flip Flop Reflection

4.1.

Reflections Introduction

Reflect the polygon over both axes to create an image in each of the four quadrants.
– Jennifer Silverman

4.2.

–

5.

Dilations

  • 1. Dilation Introduction: Transformers!
  • 2. Dilation Introduction
  • 3. Dilations of a Triangle wrt One of its Vertices 2
  • 4. Applet for Multiple Transformations

5.1.

Dilation Introduction: Transformers!

Explore this applet to see how the center of dilation and the scale factor affect the image.
Turn off the images and explore the way the lines change. What do you notice?
– Jennifer Silverman

5.2.

–

5.3.

–

5.4.

–

6.

Applications

  • 1. Moo-ving Cows
  • 2. Kandinksy Transformations Puzzle
  • 3. À la Kandinsky - Art by Transformations
  • 4. Six Pattern Blocks

6.1.

Moo-ving Cows

In as few moves as possible, moo-ve the cow into place. You must use the transformation tools!
– Jennifer Silverman

6.2.

–

6.3.

–

6.4.

–

7.

Uppercase Alphabet Tiles

26 tiles anchored at the origin, scaled to 3 units on a side. Thanks to Vicki Wenderlich (@vwenderlich) for the great, free alphabet PNG's. http://www.vickiwenderlich.com/2012/12/free-game-art-letter-tiles/

  • 1. Uppercase A
  • 2. Uppercase B
  • 3. Uppercase C
  • 4. Uppercase D
  • 5. Uppercase E
  • 6. Uppercase F
  • 7. Uppercase G
  • 8. Uppercase H
  • 9. Uppercase I
  • 10. Uppercase J
  • 11. Uppercase K
  • 12. Uppercase L
  • 13. Uppercase M
  • 14. Uppercase N
  • 15. Uppercase O
  • 16. Uppercase P
  • 17. Uppercase Q
  • 18. Uppercase R
  • 19. Uppercase S
  • 20. Uppercase T
  • 21. Uppercase U
  • 22. Uppercase V
  • 23. Uppercase W
  • 24. Uppercase X
  • 25. Uppercase Y
  • 26. Uppercase Z

7.1.

Uppercase A
– Jennifer Silverman

7.2.

–

7.3.

–

7.4.

–

7.5.

–

7.6.

–

7.7.

–

7.8.

–

7.9.

–

7.10.

–

7.11.

–

7.12.

–

7.13.

–

7.14.

–

7.15.

–

7.16.

–

7.17.

–

7.18.

–

7.19.

–

7.20.

–

7.21.

–

7.22.

–

7.23.

–

7.24.

–

7.25.

–

7.26.

–

8.

Animations

  • 1. Animated Twitter Bird
  • 2. Slimer Slider
  • 3. The Flying Carpet by Viktor Vasnetsov (Animation)
  • 4. Cyclades Windmill

8.1.

Animated Twitter Bird

Can you figure out which transformations are being used in this sketch?
– Jennifer Silverman

8.2.

–

8.3.

–

8.4.

–

Information