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

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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
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Fair and Square

Level Five
Geometry and Measurement
Figure It Out activities
This is a level 5 geometry strand activity from the Figure It Out series. A PDF of the student activity is included.

draw different views of three dimensional shapes

interpret view drawings

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Missing Anything!

Level Five
Geometry and Measurement
Figure It Out activities
This is a level 5 geometry strand activity from the Figure It Out series. A PDF of the student activity is included.

draw different views of three dimensional shapes

interpret view drawings

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Packing chocolates

Level Five
Geometry and Measurement
Rich learning activities
The purpose of this activity is to engage students in applying their knowledge of three dimensional solids to solve a package and packing problem.
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Perfect Packing

Level Five
Geometry and Measurement
Figure It Out activities
This is a level 5 geometry strand activity from the Figure It Out series. A PDF of the student activity is included.

draw nets for three dimensional shapes

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Ruler and Compass Constructions

Level Five
Geometry and Measurement
Units of Work
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.
  • Construct perpendicular bisectors of lines.
  • Construct bisectors of angles.
  • Use these skills to construct equilateral triangles and squares with a given side length, parallel lines, parallelograms and trapeziums, and regular polygons with a small number of sides.
  • Use construction techniques300
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Transforming shapes

Level Five
Geometry and Measurement
Units of Work
This unit applies geometry and measurement concepts (tessellations, reflections, rotations, symmetry, circles, 3D shapes, nets) in the creation of bags, door stops and other fabric items.
  • Identify translation, vertical and horizontal reflection (line symmetry), rotational symmetry, total symmetry, glide reflections, and half turn rotations.
  • Use geometric concepts (translation, vertical and horizontal reflection and symmetry, glide reflections, and half turn rotations) create friezes300
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Tricky Truncations

Level Five
Geometry and Measurement
Figure It Out activities
This is a level 5 geometry strand activity from the Figure It Out series. A PDF of the student activity is included.

draw nets for three dimensional shapes

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Winning Ways

Level Five
Geometry and Measurement
Figure It Out activities
This is a level 5 geometry strand activity from the Figure It Out series. A PDF of the student activity is included.

draw different views of three dimensional shapes

interpret view drawings