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# 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.

Year level(s) Year 7
Audience Teacher
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
AC9M7M05

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

AC9M7SP02
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)