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Skewey Squares

"Discover Pythagoras"s theorem by investigating the areas of these Skewey Squares" This is a fantastic investigation full of surprises that really help to understand how mathematical phenomena can be discovered by just playing with ideas. Using cm2 paper, can you draw a square with an area of 4cm2? What about 5cm2? In fact what whole number areas can be made with squares? This seems obvious at first, but a bit of lateral...

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