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Seeing 3D Shapes from Different Views

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Seeing 3D Shapes from Different Views

Part 1: 3D Shape Language

WALT: describe 3D shapes using mathematical words.

1. Match each word to its meaning. Write the correct letter beside each word.
A. Face
B. Edge
C. Vertex (plural: vertices)
_____ A flat or curved surface of a solid.
_____ A point where edges meet.
_____ A line where two faces meet.
2. Choose the name of each shape.

a. A solid with 6 equal square faces is a:

cube

cone

sphere

b. A solid with two triangular ends and three rectangular faces is a:

cylinder

triangular prism

cuboid

c. A solid with one curved surface and two flat circular faces is a:

cylinder

sphere

cone

3. Which description could be a net for a cube? Tick one.

Six equal squares joined edge-to-edge in a pattern that folds into a solid.

One circle and one rectangle joined together.

One triangle joined to one circle.

Part 2: Front, Side and Top Views

Imagine turning a solid model. A view is a 2D drawing of what you can see from one direction.

4. A cuboid is longer than it is tall. From the front, what shape might you see?

rectangle

triangle

circle

5. From the top of a cylinder standing upright, what 2D shape might you see?

circle

square

triangle

6. A cone is standing on its circular base. What might you see from the side?

a rectangle

a triangle

a circle

7. Choose one: cube, cuboid, cylinder, cone or triangular prism. Draw the same solid from two different viewpoints. Label any visible faces, edges or vertices.

I know my two drawings show the same solid because:

Part 3: Exit Ticket and Teacher Answer Key

8. Complete the sentence: A 3D object can look different from different viewpoints because ________________________________.
9. Write one new word you used today and explain what it means.
10. How confident are you at visualising a 3D shape from another viewpoint? Tick one.

I can do this independently.

I can do this with some help.

I am still learning.

Teacher Answer Key

1. Face: a flat or curved surface. Edge: a line where two faces meet. Vertex: a point where edges meet.

2a. cube   2b. triangular prism   2c. cylinder

3. Six equal squares joined edge-to-edge in a pattern that folds into a solid.

4. rectangle

5. circle

6. triangle

7. Answers will vary. Check that both drawings represent the same chosen solid and that visible features are labelled accurately.

8. Accept answers such as: “we see different faces or surfaces” or “the object is being viewed from a different direction”.

9–10. Answers will vary. Use responses to identify students who need more support with spatial reasoning and viewpoint language.

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