Lesson 1: Building Symmetry

Australian curriculum number (ACMMG066; ACMMG063)

Lesson abstract

This task presents students with a non-symmetrical three-dimensional model made of five interlocking cubes. They are asked to make the model symmetrical by changing the position of one block or by adding an extra block to the model. Students are asked to find all possible solutions to the challenge. As the students explore the different possibilities, the language of symmetry and transformations is explored.

Mathematical purpose

Students will build a deeper understanding of symmetry in 3D objects. They will look at different ways of creating symmetry starting with a non-symmetrical model and build associated vocabulary to describe symmetry and transformations in space.