Sum of interior angles in a polygon  Image

Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.


Sum of interior angles in a polygon

This resource consists of a series of student-based discovery activities that explores the sum of the interior angles of a polygon by deconstructing the polygons into triangles. The investigation continues to generalisation.

Additional details

Year level(s) Year 7
Audience Teacher
Purpose Student task, Teaching resource
Teaching strategies and pedagogical approaches Concrete Representational Abstract model
Keywords Polygon, Interior, Angles, Triangle

Curriculum alignment

Curriculum connections Critical and creative thinking, ICT general capability
Strand and focus Space
Topics Angles and geometric reasoning
AC: Mathematics (V9.0) content descriptions

Demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the interior angle sum of other shapes and the size of unknown angles

Classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships

Numeracy progression Understanding geometric properties (P4, P6)

Copyright details




© 2022 GeoGebra. Free-for-education material.