2D shapes and their properties

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

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.

A task which depends on members of the group noticing the needs of others and responding.

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

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 develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

Take an equilateral triangle and cut it into smaller pieces. What can you do with them?

Explain how the thirteen pieces making up the regular hexagon shown in the diagram can be re-assembled to form three smaller regular hexagons congruent to each other.