This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.
This activity investigates how you might make squares and pentominoes from Polydron.
How many ways can you find of tiling the square patio, using square tiles of different sizes?
One way to start would be to find all the possible places for the four counters to go that would actually make a square.
Or you could fill in the grid with counters one by one, checking to make sure you haven't made a square.
Being systematic (i.e.doing things in a logical order) is the key!