This activity investigates how you might make squares and pentominoes from Polydron.
Make a cube out of straws and have a go at this practical
How can you put five cereal packets together to make different
shapes if you must put them face-to-face?
Watch the video in which Bryony demonstrates how to make a flower from a square of paper. (If you can't see the control bar, zoom out in your browser.)
She then sets you a challenge: what fraction of the original square of paper is the shaded triangle?
Thank you to Bryony Black for giving us permission to use this problem.