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Display the interactivity. Ask for volunteers to move the corners to make a different square.
Fix a couple of corners and challenge students to complete the square.
Set students to work in pairs (ideally at computers) practising making squares until they can answer the key questions below. Suggest they make a variety of squares of different sizes and note down the sets of coordinates of their completed squares.
This could lead to a plenary discussion or, when appropriate, challenge students to work away from the computer on the final questions in the problem. This sheet provides further practice with tilted squares, but without reference to their co-ordinates.
Students can answer the last four questions by plotting the points provided and boxing them in to decide whether they make a square.
Can you work out the area of the inner square and give an explanation of how you did it?
What is the minimum number of squares a 13 by 13 square can be dissected into?
With one cut a piece of card 16 cm by 9 cm can be made into two pieces which can be rearranged to form a square 12 cm by 12 cm. Explain how this can be done.