Can you make sense of these three proofs of Pythagoras' Theorem?
Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?
Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?
Can you make sense of the three methods to work out what fraction of the total area is shaded?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Explore the relationships between different paper sizes.
Why does this fold create an angle of sixty degrees?
