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Why not challenge a friend to play this transformation game?
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Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
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A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?
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A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...
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A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?
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Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
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Using your knowledge of the properties of numbers, can you fill all the squares on the board?
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Can you describe this route to infinity? Where will the arrows take you next?
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My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.
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Here's a chance to work with large numbers...
