Purpose

The purpose of this multi-level task is to engage students in an investigation applying geometric properties of polygons.

Description of Mathematics

The background knowledge presumed for this task is outlined in the diagram below:

The task can be presented with graded expectations to provide appropriate challenge for individual learning needs.

Activity

Task: Investigate the sum of the internal angles of a regular polygon that has another regular polygon removed from its centre.

### The arithmetic approach (show more)

- The student is able to apply geometric properties of polygons to find solutions to the problem.

### The procedural algebraic approach (show more)

- The student is able to apply geometric properties of polygons to find a pattern that can be used to solve the problem.

### The conceptual algebraic approach (show more)

- The student is able to apply geometric properties of polygons to find a pattern that can be used to solve the problem.

Attachments

PiercedPolygons_full.pdf494.9 KB

PiercedPolygons_arithmetic.pdf192.83 KB