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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?

Fence It

Stage: 3 Challenge Level: Challenge Level:1
Choose a length for your rectangle.
What must the width be if the fence is $40$m long?
What's the area?

What happens to the area when you change your chosen length?