Webquest

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Transformations Wequest


The National Library of Virtual Manipulatives has five activities that help you understand transformations.

Transformations - Reflections
Playing with Reflections
  1. Click and drag the shape with the black border (the one on the right). What happens to its reflection on the other side of the line?
  2. Rotate the shape with the black border by clicking on a corner and dragging it. What happens to its reflection on the other side of the line?
  3. Click on the line and drag it to change its position. What happens to the shapes?

Hitting a Target
  1. Move the shape with the black border so that its reflected image lands exactly on the white shape.
  2. Explain what happens to the reflected image as you move the original shape.

Transformations - Rotations
Playing with Rotations
  1. Click and drag the shape with the black border.What happens to its rotated image?
  2. Rotate the shape with the black border by clicking on a corner and dragging it.What happens to its rotated image?
  3. Drag the center point of the angle.What happens to the shapes?
  4. Drag the point on the side of the angle to change size of the angle.What happens to the shapes?
Hitting a Target
  1. Move the center of the angle and change its size so that the rotated image of the red shape lands exactly on the white shape.

Transformations - Compositions
Activity 1
  1. Choose the first transformation to be a reflection and the second transformation to be a translation.
  2. Adjust the line of reflection and the translation vector so that the original image lands exactly on the white shape.
  3. Compare your results to your neighbors. Did you use the same reflection line and translation vector, or is there more than one solution to this problem?
  4. Explain the strategies you used to move the original image so that it exactly matched the white shape.
Activity 2
  1. Choose the first transformation to be a rotation and the second transformation to be a translation.
  2. Adjust the center of rotation, the size of the rotation, and the translation vector so that the original image lands exactly on the white shape.
  3. Compare your results to your neighbors. Did you use the same reflection line and translation vector, or is there more than one solution to this problem?
  4. Explain the strategies you used to move the original image so that it exactly matched the white shape.
Optional
  1. Using either Activity, clear the screen and then re-create the shape in a new location. How does this change your line of reflection and translation vector.

Bathroom Tiles
Guess the transformation that will map one tile to another.