Polygon Puzzle

Purpose

The purpose of this activity is to engage students in using the properties of irregular polygons to solve a problem.

Achievement Objectives
GM3-3: Classify plane shapes and prisms by their spatial features.
GM3-4: Represent objects with drawings and models.
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 maths teacher wants to make a puzzle out of irregular polygons, one each from a triangle to a heptagon, that fit together to make an A4 sheet of card.

Can you design such a puzzle?


 

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 solve, and to generalise, a geometric problem.
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Level Three