Geometry Three Dimensions

Three Dimensions Recognise 3D shapes represented as nets Learning objectives 17/11/2018 Recognise 3D shapes represented as nets Recognise the nets of cubes Sketch simple nets of 3D shapes Construct simple nets of 3D shapes

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? 17 November 2018

Nets This animation shows how the net can be folded up to make to make a pyramid. 17 November 2018

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 17 November 2018

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 17 November 2018

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 17 November 2018

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 17 November 2018

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 17 November 2018

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. 17 November 2018

What did you remember? 17 November 2018 Draw all the nets for a cube you can remember onto your note paper

Draw each cuboid accurately on isometric paper Draw a plan view, side elevation and front elevation Draw the net of each cuboid 4 cm 2 cm 5 cm 3 cm 4 cm 4 cm 2 cm 4 cm 8 cm

4 cm 4 cm 4 cm

5 cm 2 cm 3 cm

2 cm 4 cm 8 cm

Can you sketch the net for this cuboid?

Success Criteria Recognise 3D shapes represented as nets Recognise the nets of cubes Sketch simple nets of 3D shapes Construct simple nets of 3D shapes 10 Ticks level 4 pack 8 page 27 - 28 10 Ticks level 6 pack 4 page 33 - 34