Superlesson
Project 3-2
Foundations of Algebra and Geometry
Chapter 3, Drawings and Patterns
Part A, Slides, Flips, and Turns
1. View at least three Tessellations made by other students. Print out a tessellation you like and describe it. What kind of transformations did the student use?
2. Create your own tessellation at the Tessellation tutorial site.
a. Make your tessellation by cutting out a shape and tracing it.
b. Explain how you made your tessellation. Show the shape you started with, the shape you used to tessellate (if it is different), and what transformations you used.
Part B, Translations
3. Look at M.C. Escher's Fish and Boats. Explain how the art uses translations.
Part C, Reflections
4. Examine M.C. Escher's Horsemen tessellation. Explain how the art work uses transformations.
5. Review translations at the Swarthmore site. Categorize all capital letters in one of four categories:
Category 1: letters that look the same when reflected across a vertical line
Category 2: letters that look the same when reflected across a horizontal line
Category 3: letters that look the same when reflected across both a vertical line and when reflected across a horizontal line
Category 4: letters that do not look the same after they are reflected across either a vertical line or across a horizontal line
Part E, Making Connections
6. Explore the life and works of the Dutch Painter, M.C. Escher. Print out 3 pictures you like and explain the symmetry, transformation, geometry, etc. used in each piece.