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Mathematics·Geometry·conceptual

3-D shapes (age 11+)

Use the properties of faces, surfaces, edges, and vertices of 3-D shapes (cubes, cuboids, prisms, cylinders, pyramids, cones, and spheres) to solve problems, including visualising cross-sections

Suggested ages 11–13

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Evidence of understanding

  • Count and describe the faces, edges, and vertices of a triangular prism and a square-based pyramid
  • Describe the 2-D cross-section produced by slicing a cylinder horizontally or a cone vertically
  • Use properties of 3-D shapes to determine whether a given net will fold into a specified solid

Assessment prompt

If 3-D shapes (age 11+) slices a cylinder straight across the middle like cutting a tin of beans in half, can they describe the shape of the cut surface? What about slicing at an angle?

Standards alignment

7.G.3US · ccss-math

Describe the two-dimensional figures that result from slicing three-dimensional figures

Common Core State Standards for Mathematics · 7

KS3.Maths.Geo.15GB · uk-nc-2013

Properties of 3-D Shapes

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3