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:

Teaching Strategies

The approaches for this curriculum unit will vary to reflect the learning styles of all students. Included will be:

Experiential Learning: The major strategy for this unit is to engage the students in hands-on learning. I want them to be actively participating as mathematics discoverers, not observing a demonstration by the teacher or looking at examples in books. The activities will be designed to be exploratory for the students so they are engaged in the enjoyment of the process as well as the product. A wide range and variety of mathematics and art materials will be included in the exploration and design. This will also include science activities and musical experiences with patterns.

Differentiated Instruction: Lessons and activities will be targeted to maximize learning. The students will use a variety of approaches, working sometimes individually and sometimes in small groups, determined by the complexity of the activity. Because these are young children with variance in levels and background, guidance and pacing will need to be closely monitored. Mathematics concepts need to be based in concrete experiences.

Cooperative Learning: The students will be given opportunities to work as cooperative groups to complete assignments and activities. This strategy will allow students to work collaboratively taking on various roles necessary to complete the work, with a focus on success for all. A culminating activity will include groups designing wallpaper that will be displayed in our classroom, with descriptions of types of transformations included in the design.

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