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Construct-o-straws

Make a cube out of straws and have a go at this practical challenge.

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Matchsticks

Reasoning about the number of matches needed to build squares that share their sides.

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Tangram Paradox

How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!

Peg Rotation

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

Pupils will need to apply knowledge of transformations to this problem and it is probably best done practically for many pupils. However, children could be asked to do it by picturing it in their heads, or at least to hypothesise by visualising and then to test their solutions practically. The triangular arrangement of dots helps to familiarise pupils with different angles.

This activity, as well as being done in ones or twos by the pupils, could be introduced by you challenging all the class at once. The first picture could be presented on an acetate sheet, perhaps on an OHP, and you could ask the pupils what they would have to do with it to to see the next two pictures. You could provide pairs or small groups of pupils with an acetate grid and some dry-wipe pens to create each image for testing.