Lesson 2: Four Cubes

Australian curriculum number (ACMMG066; ACMMG063)

Lesson abstract

This resource consists of two sections. The first section asks students to build objects using four cubes and following simple rules. After some exploration, they are encouraged to work systematically to find different solutions. Using transformations, the students reason and justify that all the constructions they have made are different and that they have found all possible solutions. Students then draw the two-dimensional representations of these three-dimensional objects.

Mathematical purpose

Students make simple block constructions using four interlocking cubes. They work systematically to find all the ways that four cubes can be combined and apply transformations to show they have found all unique possibilities. Students then draw the various solutions from different perspectives.