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**KS3 Mathematics S3 3-D shapes**

The aim of this unit is to teach pupils to: Use 2-D representations, including plans and elevations, to visualise 3-D shapes and deduce some of their properties Material in this unit is linked to the Key Stage 3 Framework supplement of examples pp S3 3-D shapes

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**S3 3-D shapes Contents A S3.1 Solid shapes A**

S3.2 2-D representations of 3-D shapes A S3.3 Nets A S3.4 Plans and elevations A S3.5 Cross-sections

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**Can you tell which 3-D shape it would make?**

Nets Here is an example of a net: This means that if you cut this shape out and folded it along the dotted lines, you could stick the edges together to make a 3-D shape. This net is of a square-based pyramid. Ask pupils to describe or sketch other possible nets for the same shape. Challenge pupils to construct the net of a square-based pyramid of base length 3 cm, and sloping edge of length 4 cm, using a ruler and a pair of compasses. Links: S6 Construction and loci – constructing nets. S8 Perimeter, area and volume – surface area. Can you tell which 3-D shape it would make?

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Nets This animation shows how the net can be folded up to make to make a pyramid.

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**What 3-D shape would this net make?**

Nets What 3-D shape would this net make? Ask pupils to describe or sketch other possible nets for the same shape. Challenge pupils to construct the net of a cuboid of length 5 cm, width 3 cm and height 2 cm, using a ruler and a protractor, a set square or a pair of compasses. Links: S6 Construction and loci – constructing nets. S8 Perimeter, area and volume – surface area of a cuboid. A cuboid

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**What 3-D shape would this net make?**

Nets What 3-D shape would this net make? Ask pupils to describe or sketch other possible nets for the same shape. Stress that the slanting edge of the triangular face must be the same length as the edge of the rectangle that will join onto it. Challenge pupils to construct the net of a triangular prism with a length of 5 cm and a triangular cross section whose base is 2 cm and whose slanting edge is 3 cm. They should use a ruler and a pair of compasses. Link: S6 Construction and loci – constructing nets. A triangular prism

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**What 3-D shape would this net make?**

Nets What 3-D shape would this net make? Ask pupils to describe or sketch other possible nets for the same shape. Stress that each triangle is an equilateral triangle. Challenge pupils to construct the net of a tetrahedron with edge length 4 cm, using a ruler and a pair of compasses. Link: S6 Construction and loci – constructing nets. S8 Perimeter, area and volume – surface area. A tetrahedron

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**What 3-D shape would this net make?**

Nets What 3-D shape would this net make? Ask pupils to describe or sketch other possible nets for the same shape. Stress that the height of each rectangle must be the same lengths as edges of the pentagon. Challenge pupils to construct this net using a ruler and a protractor. The length of the completed prism should be 5 cm with the edges of the pentagonal faces of length 2 cm. Link: S6 Construction and loci – constructing nets. S8 Perimeter, area and volume – surface area. A pentagonal prism

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**Nets of cubes Here is a net of a cube.**

M N A B C D E F G H I J K L When the net is folded up which sides will touch? A and B C and N D and M E and L Pupils could make this net and fold it into a cube to verify which sides touch. F and I G and H J and K

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Nets of cubes Six different squares joined together are shown each time this activity is reset. Pupils must decide whether or not they represent the net of a cube.

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Nets of dice Use the fact that the opposite sides of a die add up to seven to drag the missing faces into place.

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