The Mathematics of Wallpaper

CONTENTS OF CURRICULUM UNIT 10.04.02

  1. Unit Guide
  1. Introduction
  2. Overview
  3. Objectives
  4. Symmetry on a Plane
  5. Finite Figures
  6. Frieze Patterns
  7. Wallpaper Groups
  8. Teaching Strategies
  9. Classroom Activities
  10. Endnotes
  11. Resources
  12. Appendix - Implementing National Standards

Repeat After Me!

Carol P. Boynton

Published September 2010

Tools for this Unit:

Resources

Teacher Resources

Barker, William, and Roger Howe. Continuous Symmetry. Providence: American Mathematical Society, 2007.

Farmer, David W.. Groups and Symmetry: A Guide to Discovering Mathematics (Mathematical World, Vol. 5). Providence: American Mathematical Society, 1995.

This book introduces transformational symmetry through exercises, questions, and discovery. Clear examples and step-by-step information gathering provides a good base for understanding symmetry.

Geometry: Ancient and Modern. New York: Oxford University Press, USA, 2001.

Libeskind, Shlomo. Euclidean and Transformational Geometry: A Deductive Inquiry. 1 ed. Boston: Jones & Bartlett Publishers, 2007.

ThinkMath, Teacher Guide, Volume 1, Harcourt School Publishers.

Transformation Groups for Beginners (Student Mathematical Library, Vol. 25) (Student Mathematical Library, V. 25). Providence: American Mathematical Society, 2004.

Transformational Geometry. New edition ed. New York: Dale Seymour Publications, 1989.

http://standards.nctm.org

Student Resources

Campbell, Sarah. Growing Patterns. Honesdale: Boyds Mills Pr, 2010.

Although intended for a bit older students (grades 2-5), this book offers great illustrations of objects from nature. The focus in the Fibonacci numbers but the text is appropriate for first graders and predicting in a general way is helpful.

Dalton, Julie. Patterns Everywhere (Rookie Read-About Math). U.S.A: Children's Press(Ct), 2006.

Colorful photos of real-life activities that students can relate to help to introduce patterns and predicting what comes next.

Harris, Trudy. Pattern Fish. Brookfield, CT: Millbrook Press, 2000.

This book has fish living in a world of patterns. They begin as simple AB patterns and become more complex throughout the book, with many reinforcing details on each page.

Harris, Trudy. Pattern Bugs. Brookfield, CT: Millbrook Press, 2001.

Another tool similar to the previous book that shows repeated versions of a pattern, actually six patterns per page to match the border pattern, such as AAB.

Harvey, Jayne. Busy Bugs: A Book About Patterns (All Aboard Math Reader). New York: Grosset & Dunlap, 2003.

This book provides good examples of AABB, AAB, ABCD, as well as growing patterns.

Neuschwander, Cindy. Patterns in Peru: An Adventure in Patterning. New York: Henry Holt And Co. (Byr), 2007.

An archeology/math adventure story with two children following their scientist parents to Peru. The twins use their knowledge of patterns and sequences as clues to uncover a lost city.

Pluckrose, Henry Arthur. Pattern (Math Counts). New York: Children's Press (CT), 1995.

This book is part of a series with introduces young children to math concepts. The clear illustrations of everyday things provide an tangible basis for learning about patterns.

Swinburne, Stephen R.. Lots and Lots of Zebra Stripes: Patterns in Nature [LOTS & LOTS OF Z]. Honesdale, PA: Boyds Mills Press, 2002.

This book inspires students to look for patterns in nature, beginning with simple idea that patterns are lines and shapes that repeat. Readers look in places like flowers, oranges, tree rings, animals, in our everyday environment.

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