Rich tasks for this chapter - page 253
- These are problem solving open-ended questions that require students to investigate 3-D shapes, nets and views. The tasks can be given at the start of a topic and done as the students gain enough knowledge to complete them, inserted into a topic at an appropriate place, or given as homework, or extension.
- Into the future
- Just one sheet
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1. Into the future
- Encourage students to be creative and design a container that is not a cuboid.
- You could give students paper to experiment with first before drawing their final design onto card.
- Many students will need several attempts to get the net correct, so using grid paper initially is a good idea.
- Encourage students to think about or discuss with a partner why some attempts didn’t work.
2. Just one sheet
- A rectangular or square piece will need to be cut from each corner to make the box.
- Encourage students to think about the dimensions of the boxes that are possible and to make a chart or table. The table can then be used to find the volume of the possible boxes. This task provides a good link to volume.
3-D shapes - page 254
- Be able to predict the 2-D shape formed when cutting a 3-D shape to make a cross-section.
- Name common 3-D shapes and describe their properties.
- Sort shapes into groups with common properties or names.
- Investigate whether E = F + V – 2 - Euler's rule) is true for all 3-D shapes.
- Build simple 3-D shapes using materials.
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Teacher notes
- Students often get the names of the solids confused or find them difficult to remember. Encourage them to name shapes in real life regularly. It is helpful if students discuss ways of remembering the names of solids and their spelling. Ideas might include photos of real solids on a poster, a hanging mobile or a digital presentation, giving the names of the shapes. Or they could make their own constructions.
- Knowing the number of faces, edges and vertices that a shape has will help students when drawing nets for shapes.
Nets - page 258
- Be able to recognise if a net will fold to give a cuboid, pyramid or triangular prism.
- Draw the nets for cuboids and simple pyramids.
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Teacher notes
- Students often find it difficult to visualise what shape a net will create. Practice helps, as does pointing out how the net and the solid shape relate to each other. If the solid has six faces for example, then the net will have six faces. If there are three triangles around each vertex of the solid, then the net will have three triangles around a point.
- Knowing the number of faces, edges and vertices of a shape will help students when they are asked to draw nets for shapes.
- It is helpful for students to take apart boxes and other containers so that they become familiar with a range of nets.
Views - page 261
- Build a 3-D model given 3-D views from two directions.
- Draw the 2-D front, side and plan views of simple 3-D objects.
- Build models of 3-D objects given the views.
- Make isometric drawings of simple 3-D models.
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Teacher notes
- Views are 2-D representations, or plane pictures, of a 3-D shape made from different viewpoints. It is important for students to understand that a view does not take depth into consideration.
- Sometimes more than one model can be made from a set of views.
