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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > 3D Geometry, Shape and Space > Solids

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Immersion

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Various solids are lowered into a beaker of water. How does the water level rise in each case?

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Which Solids Can We Make?

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

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Which Solid?

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

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Castles in the Middle

Stage: 2 and 3 Challenge Level: Challenge Level:1

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

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Solids

Stage: 3 and 4 Challenge Level: Challenge Level:1

A task which depends on members of the group working collaboratively to reach a single goal.

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The Solid

Stage: 3 and 4 Challenge Level: Challenge Level:1

A task which depends on members of the group working collaboratively to reach a single goal.

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Investigating Solids with Face-transitivity

Stage: 4 and 5

In this article, we look at solids constructed using symmetries of their faces.

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Packing 3D Shapes

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

What 3D shapes occur in nature. How efficiently can you pack these shapes together?


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