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Properties of 3-D Shapes

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by

Mr Mattock

on 26 February 2017

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Transcript of Properties of 3-D Shapes

Properties of 3-D Shapes
Starter
Match the shapes to their names
Technical vs 'laymans' terms
Technical Informal 'Laymans'
Faces, Edges, Vertices
L.O. - Understand the terms faces, edges and vertices, and understand the relationship between these in polyhedra.
Cylinder Cone Cube
Sphere Octahedron
Tetrahedron Triangular prism
Starter
Match the shapes to their names
Cylinder Cone Cube
Sphere Octahedron
Tetrahedron Triangular prism
Faces

Edges

Vertices
Technical vs 'laymans' terms
Technical Informal 'Laymans'
Faces

Edges

Vertices
2D or 'Flat' shapes

Lines

Corners
Faces =

Edges =

Vertices =
Faces =

Edges =

Vertices =
Faces, Edges, Vertices
Faces = 8

Edges = 14

Vertices = 8
Faces = 8

Edges = 18

Vertices = 12
Main Activity 1
Complete the 3D shapes jigsaw.
Eulers Rules for 3D shapes
Edges = Faces + Vertices - 2

E = F + V - 2
Faces = 8

Edges = 14

Vertices = 8
F + V - 2 =
8 + 8 - 2 =
14 = E
Example
Faces = 8

Edges = 18

Vertices = 12
Example
Faces = 8

Edges = 18

Vertices = 12
F + V - 2 = 8 + 12 - 2 = 18 = E
Euler's Rule
Does Euler's rule work for all of these shapes? Demonstrate with each
one.
Euler's Rule
Does Euler's rule work for all of these shapes? Demonstrate with each
one.
You can use the jigsaw answers
to help you if needs be.
6 + 8 - 2 = 12
4 + 4 - 2 = 6
3 + 0 - 2 = 1
1 + 0 - 2 = -1
E = 12
E = 6
E = 2
E = 0
5 + 6 - 2 = 9
E = 9
2 + 1 - 2 = 1
E = 1
8 + 6 - 2 = 12
E = 12
It would appear
that if a shape has no
vertices, Euler's rule
doesn't apply.
Main Activity 1
Activities
Activity
Answers

Key
Examples

Worked
Example

Worked
Example

Worked
Example
Full transcript