Mathematics
Beginner
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen
Polydron

3D Shapes: Faces, Edges and Vertices

Explore the faces, edges and vertices of solid shapes using everyday objects and 3D models. Count and identify the properties that define each shape, including the special case of a cylinder.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedLook at these three everyday things: a cereal box, a tin of beans and a dice. Hands up: how many flat sides can you see on the box? Where do two flat sides meet to make a sharp line?

    2 - Watch and Notice ~9 mins

    Watch four solids on the board. For each one, count its flat faces, count the straight edges where faces meet, and count the corners (vertices). Watch the last one carefully: the cylinder. Does it have any pointy corners?

    3 - Try It Together ~11 mins

    Key point

    Today we work through these solids together, tallying each one on the board: first the cube, then the cuboid, then the square-based pyramid, and finally the cylinder. For each shape we rotate it, tap each face to count them, then the edges, then the vertices, and say each total aloud before we check.

    Tally the faces, edges and vertices

    4 - Build Your Shape Table in Your Copy ~3 mins

    COPYBOOK MOMENT

    Illustration for Build Your Shape Table in Your CopyIn your maths copy, rule a small table with four columns: Shape, Faces, Edges, Vertices. Fill in one row for a cube and one row for a square-based pyramid, writing the number you counted in each column.

    5 - Class Challenge ~8 mins

    First we match a solid to a property description together. Property: exactly six faces. Check our counts for each solid and decide which ones match.

    Then we answer property questions about the solids we counted, using the basket at the front and the shapes on screen. For each question, tap the number of chips to answer:

    • How many faces does a cube have?
    • How many vertices does a cylinder have?
    • How many vertices does a square-based pyramid have?
    • How many edges does a cuboid have?

    Property hunt

    Pupil practice
    Module 7 · 2D and 3D Shapes and Angles Data & Chance
    Lesson 82 · 3D Shapes: Faces, Edges and Vertices
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