Materials: Eight paper squares, same size (two colors)
Do the following to each square:
Making the wreath:
Making the pinwheel:
Gently slide the sides of the wreath toward the center.
Questions regarding symmetry:
1. Describe the reflectional and rotational symmetries of the following:
2. Slide the pinwheel to the wreath. Push on a pair of opposite sides to get a pinwheel with only two wings. What are the reflectional and rotational symmetries of this figure?
3. Slide the pinwheel to the wreath. Push on opposite sides to produce other shapes. What shapes can you create in the center opening?
Lappan, G., Fey, J. T., Fitzgerald, W. M., Friel, S. N., & Phillips, E. D. (1998). Connected mathematics: Kaleidoscopes, hubcaps, and mirrors. La Porte, IN: Prentice Hall, Dale Seymour Publications.