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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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Two by One

An activity making various patterns with 2 x 1 rectangular tiles.

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Transformations on a Pegboard

How would you move the bands on the pegboard to alter these shapes?


Stage: 2 Challenge Level: Challenge Level:1

There are lots of ways that you could choose to investigate this problem.

Have a go yourself, and if you discover anything interesting then let us know ! Please don't worry that your solution is not "complete" - we'd like to hear about anything you have tried.

Teachers - you might like to send in a summary of your children's work.