Visualising and representing

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.

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.

Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

Can you make sense of these three proofs of Pythagoras' Theorem?

A group of animals has made a seesaw in the woods. How can you make the seesaw balance?