Why do this problem?

This activity is a simple one that lets the pupils explore shapes in a straightforward way.

Possible approach

It may be appropriate to have looked at simpler ideas in which just two or three squares overlap.

Key questions

How have you sorted out those shapes that are squares?
Could you invent a similar question for others to do?

Possible extension

Ask the pupiles to look at the shapes that are generated when other shapes overlap - like equilateral triangles, regular hexagons.

Possible support

Some pupils will need an adult to help them to keep focussed on which squares they've counted and what is left.