Discussion Problems Step 8: Recognise and Describe 3D Shapes

National Curriculum Objectives:

Mathematics Year 3: (3G3b) Make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them

About this resource:

This resource has been designed for pupils who understand the concepts within this step. It provides pupils with more opportunities to enhance their reasoning and problem solving skills through more challenging problems. Pupils can work in pairs or small groups to discuss with each other about how best to tackle the problem, as there is often more than one answer or more than one way to work through the problem.

There may be various answers for each problem. Where this is the case, we have provided one example answer to guide discussion.

We recommend self or peer marking using the answer page provided to promote discussion and self-correction.

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© Classroom Secrets Limited 2019 classroomsecrets.co.uk Discussion Problems – Recognise and Describe 3D Shapes – Teaching Information Recognise and Describe 3D Shapes

1. Complete the Magic so that the combined total of faces or surfaces in each row, column or diagonal is the same. You can only use each shape once.

pentagonal cone heptagonal square Prism based pyramid

sphere triangular based pyramid

DP 2. Explore combinations of 3D shapes which have a total of 20 vertices. You cannot use the same shape more than once in any one combination.

The first combination has been done for you as an example.

+ + = 20 vertices

Cube Cuboid Tetrahedron

DP

© Classroom Secrets Limited 2019 classroomsecrets.co.uk Discussion Problems – Recognise and Describe 3D Shapes – Year 3 Recognise and Describe 3D Shapes

1. Complete the Magic Square so that the combined total of faces or surfaces in each row, column or diagonal is the same. You can only use each shape once.

pentagonal cone cube prism (2) (6) (7) pentagonal cone heptagonal square prism Prism based pyramid square heptagonal based sphere (1) prism (9) pyramid (5)

sphere triangular cube triangular based cylinder hexagonal based (3) prism (8) pyramid pyramid (4)

Each line should combine to make a total of 15 faces or surfaces whether the line is horizontal, cylinder hexagonal vertical or diagonal. prism DP 2. Explore combinations of 3D shapes which have a total of 20 vertices. You cannot use the same shape more than once in any one combination.

The first combination has been done for you as an example.

+ + = 20 vertices

Cube Cuboid Tetrahedron

Various possible combinations including: • Cube, hexagonal prism • Heptagonal prism, , • Octahedron, triangular prism, cube

Accept any combination of 3D shapes which combine accurately to create a total of 20 vertices.

DP

© Classroom Secrets Limited 2019 classroomsecrets.co.uk Discussion Problems – Recognise and Describe 3D Shapes ANSWERS