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GM5-6: Create accurate nets for simple polyhedra and connect three-dimensional solids with different two-dimensional representations.

Elaboration on this Achievement Objective: 

This means that students will use appropriate equipment to create accurate nets for simple polyhedra. Polyhedra are 3 dimensional shapes bound by polygons, for example a cube is made from 6 squares, a tetrahedron is made from 4 equilateral triangles, an octahedron is made from 8 equilateral triangles.  The range of polyhedra should include the platonic solids, cuboids, right-angled prisms and pyramids. For the more difficult polyhedra students should learn to focus on the polygons around each vertex (corner) and symmetry of the polyhedron, for example the net for an icosahedron or a dodecahedron can be formed from two halves.

Students will form three dimensional shapes drawn as plan views, isometric projections or nets. To do so they will need access to material such as lego or construction cubes. Students will also be able to represent models of three dimensional shapes using plan views isometric projections or nets where appropriate.

 

 

Teaching resources for this Achievement Objective:

Winning Ways

  • Figure It Out activities
  • Geometry and Measurement
  • Level Five

This is a level 5 geometry strand activity from the Figure It Out series.

Missing Anything!

  • Figure It Out activities
  • Geometry and Measurement
  • Level Five

This is a level 5 geometry strand activity from the Figure It Out series.

Fair and Square

  • Geometry and Measurement
  • Level Five

This is a level 5 geometry strand activity from the Figure It Out series.

Tricky Truncations

  • Figure It Out activities
  • Geometry and Measurement
  • Level Five

This is a level 5 geometry strand activity from the Figure It Out series.

Perfect Packing

  • Figure It Out activities
  • Geometry and Measurement
  • Level Five

This is a level 5 geometry strand activity from the Figure It Out series.

Ruler and Compass Constructions

  • Units of Work
  • Geometry and Measurement
  • Level Five

In this unit we use rulers and compasses to construct perpendicular lines and to bisect angles. These constructions are used to make a variety of polygons, nets and to illustrate loci.

Packing chocolates

  • Rich learning activities
  • Geometry and Measurement
  • Level Five

The purpose of this multiple-level activity is to engage students in applying their knowledge of three dimensional solids to solve a package and packing problem.