Christchurch '74

Purpose

The purpose of this activity is to provide students with the opportunity to explore the invariant properties of a shape under transformations, in order to complete a given design and to communicate the transformations necessary to achieve this design.

Achievement Objectives
GM4-8: Use the invariant properties of figures and objects under transformations (reflection, rotation, translation, or enlargement).
Description of Mathematics

The background knowledge and skills that need to be established before and/or during this activity are outlined in the diagram below:

Click to show example questions for each heading

This activity may be carried out with step by step guidance, or by allowing the student to follow their own method of solution. The approach should be chosen in sympathy with students' skills and depth of understanding.

Activity

 

The 1974 Commonwealth Games logo can be constructed from a series of transformations on
a single N.

Give a set of instructions that take the upper left hand blue 7, that would:

  1. Create the upper left hand N.
  2. Use the upper left hand N to build the remainder of the logo.

 

 

The procedural approach  (show more)

  • The student is able to find and describe the transformations necessary to build the given design from a specified starting shape.

The conceptual approach  (show more)

  • The student is able to find and describe the transformations necessary to build the given design from a specified starting shape.

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