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This activity investigates how you might make squares and pentominoes from Polydron.

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Tiles on a Patio

How many ways can you find of tiling the square patio, using square tiles of different sizes?

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My New Patio

What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?


Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2
Try starting a square on one of the edge pegs. Look at all the other pegs in turn - could you use that peg as the second corner of a square?
Can you make a square whose edges aren't parallel to the rows or columns of pegs?