Education Technology

The sum of the interior angles of regular polygons

Published on 04/17/2009

Activity Overview

The students will construct triangles within regular-sided polygons to determine the sum of the interior angles. They will then, using statistics, create a linear regression to determine the relationship between the number of sides of a regular polygon and the sum of its interior angles.

Before the Activity

Send the activity to each handheld. The only prior knowledge the students should know is the sum of the interior angles of a triangle.

During the Activity

Make sure the students know how to use the TI-Nspire. They need to be able to construct segments and make calculations.

After the Activity

Extensions include:

  • Calculating the measure of one interior angle of an n-sided regular polygon.
  • Calculating the sum of the exterior angles of an n-sided regular polygon.
  • Calculating the measure of one exterior angle of an n-sided regular polygon.