Platonic crackers

Purpose

The purpose of this activity is to engage students in solving a problem requiring identifying and using regular polygons.

Achievement Objectives
GM3-3: Classify plane shapes and prisms by their spatial features.
Description of Mathematics

The background knowledge and skills that should 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

 

A biscuit company want to make crackers in the shape of regular polygons that they can advertised as being able to be stuck together (with cream cheese) to make platonic solids.

  • Read about platonic solids, so you can find out what shapes the crackers in the box need to be.
  • Design a cookie cutter that the company could use to make these shapes. 

 

 

The arithmetic approach  (show more)

  • The student is able to incorporate knowledge of features of polygons to solve a geometric problem.

The conceptual approach  (show more)

  • The student is able to incorporate knowledge of features of polygons to give an ideal solution for a geometric problem.
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Level Three