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Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

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Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

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Square Areas

Can you work out the area of the inner square and give an explanation of how you did it?

Dissect

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

It is certainly worthwhile looking at gradually increasing the size of the squares. With younger pupils it would be good to allow them to discuss the situation for even sided squares and those with a side that is a multiple of 3. For older/more able pupils its a good idea to go at least as far as a 43 by 43 square! When a large number have been tried I would suggest that pupils try to examine their "system" for getting the least number of squares.