Drawing and Constructing

What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.

What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

How many symmetric designs can you make on this grid? Can you find them all?

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.

Can you place the blocks so that you see the reflection in the picture?

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

What can you see? What do you notice? What questions can you ask?