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Last modified 4.26.03


A Basic Look at Transformations

Audience: Preservice teachers of grades 6 - 12

Expected time: 60 minutes

Overview of Module: Students will explore transformations of the plane and concepts common to all transformations. Transformations will be investigated geometrically (with the location of image points). This module may be bypassed if the class has a basic knowledge and understanding of the three isometries (reflection, rotation, and translation).Composition of Transformations explores transformations further using the product of reflections. An Algebraic Look at Transformations examines transformations with algebraic equations and matrices.

Activities:

  • Activity #0 Basic Transformations
  • Activity #1 Transformations on the Coordinate Plane

Goals:

  • Students recognize transformations: reflections, rotations, and translations.
  • Students perform geometric transformations with a variety of technologies.

Prerequisites:

  • Basic knowledge of Geometer's Sketchpad (GSP) or other dynamic geometry software.
  • Basic background knowledge of flips, turns, and slides

Math Concepts:

  • Transformations
  • Mappings