The Mathematics of Wallpaper

CONTENTS OF CURRICULUM UNIT 10.04.01

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. Objectives
  4. Strategies
  5. The hierarchy of quadrilaterals
  6. Tessellation
  7. Activities 1
  8. Activity 2
  9. Activity 3
  10. Activity 4
  11. Notes:
  12. Appendix A: Annotated Bibliography
  13. Appendix B: Implementing District Standards
  14. Appendix C: Collection of Problems

Geometry and the Real World

Shamsu Abdul-Aziz

Published September 2010

Tools for this Unit:

Appendix A: Annotated Bibliography

Barker, W. and Howe, R, Continuous Symmetry. American Mathematical Society, 2000. This book explains in detail, everything about symmetry. The book also has clear and concise illustrations that vividly describe each concept.

Britton, Jim, Investigating Patterns, Symmetry and Tessellations. Dale Seymour Publications, 2000. This book contains background knowledge of symmetry and tessellations which will be beneficial to teachers. It comes with vocabulary and activities.

Brown, G. Richard (1973), Transformational Geometry, p.30

Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Mathematics Association of America, p. 80, 1967. This book served as a reference book while writing this unit. It contains all the background knowledge of geometry.

Durzhin, S.V and Chebotarevsky, Transformation Groups for beginners. This is a book that is good for both students and teachers. It talks about all the transformational groups while giving detailed examples and concise illustrations.

Schattschneider, Doris and Freeman, W. M.C. Escher: Visions of Geometry. I really did not use this book in my unit but it does give interesting examples of wallpaper designs that can be used as kaleidoscopes. It will be very essential if you decide to do an activity where your students create kaleidoscopes.

Weyl, Hermann, Symmetry. This book is a bit of an advanced read but it does provide essential knowledge in symmetry.

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