Polygon Pieces

Australian curriculum number (ACMNA192; ACMMG202)

Students explore different ways to cut convex polygons into two new polygons and investigate the different shapes that can be produced. They then use algebra to generalise their findings.

This sequence is for students who:

  • have some knowledge of names of polygons.
  • can use algebra to make generalisations.


Lesson 1: Polygon Pieces

Students use one straight cut to cut a convex polygon into two new polygons. They make generalisations about the total number of sides of the two new polygons, and about the number of different combinations of polygons that can be made.


Last updated June 21 2020.