Year 8

Polygon Pieces

Students cut convex polygons in two and create an algebraic formula for the number of sides of the resulting shapes.

This is a classic reSolve sequence aligned with the Australian Curriculum V8.4. It is only available as a downloadable package.

 

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.

This is a classic reSolve sequence aligned with the Australian Curriculum V8.4. It is only available as a downloadable package.

Teacher tools