Shape Shifters: 3D Shape Mission

Name:

Date:

Mission 1: Build the shape language

Learning intention: I can identify and describe faces, edges and vertices on 3D shapes.

1. Match each word to its meaning. Write the matching letter beside each word.

A. face ______

B. edge ______

C. vertex ______

D. flat surface ______

E. curved surface ______

F. net ______

1. A corner where edges meet.

2. A 2D pattern that folds to make a 3D shape.

3. A surface that is smooth and bends.

4. A surface that is level and does not bend.

5. A flat surface of a 3D shape.

6. Where two faces meet.

2. Complete the 3D shape investigation record. Use a model if needed.

Cube: Faces: ____ Edges: ____ Vertices: ____ 2D face shapes: ____________________

Cuboid: Faces: ____ Edges: ____ Vertices: ____ 2D face shapes: ____________________

Triangular prism: Faces: ____ Edges: ____ Vertices: ____ 2D face shapes: ____________________

Square-based pyramid: Faces: ____ Edges: ____ Vertices: ____ 2D face shapes: ____________________

Sphere: Faces: ____ Edges: ____ Vertices: ____ 2D face shapes: ____________________

3. What is one important difference between a sphere and the other shapes in the record?

Mission 2: Sort, sketch and solve

4. Shape-sorting mission: Choose a sorting rule. Sort the five shapes from Mission 1 using that rule. Then explain your rule.

My sorting rule is: ________________________________________________________________

Group 1 shapes: _________________________________________________________________

Group 2 shapes: _________________________________________________________________

5. Viewpoint sketch: Draw a cube, cuboid or prism as if you are looking at it from a different viewpoint. Show visible edges and label one face, one edge and one vertex.

6. Mystery statement challenge: “This shape has five faces, eight edges and five vertices.” What shape is it? Explain how you know.

7. Extension challenge: Choose one shape. Classify it in two different ways, using at least two properties each time.

8. Reflection: Complete the sentences.

One new word I can use is: _______________________________________________________

A 2D and 3D connection is: ______________________________________________________

A question I have about changing shapes is: ________________________________________

Teacher answer key — final page

1. Vocabulary: A–5, B–6, C–1, D–4, E–3, F–2.

2. Shape record: Cube: 6 faces, 12 edges, 8 vertices, squares. Cuboid: 6 faces, 12 edges, 8 vertices, rectangles and sometimes squares. Triangular prism: 5 faces, 9 edges, 6 vertices, triangles and rectangles. Square-based pyramid: 5 faces, 8 edges, 5 vertices, squares and triangles. Sphere: 0 flat faces, 0 straight edges, 0 vertices, no 2D face shapes; it has one curved surface.

3. Suggested response: A sphere has a curved surface and no flat faces, straight edges or vertices.

4. Sorting: Answers will vary. Accept any clear rule supported by accurate properties, such as “has curved surfaces”, “has 8 vertices” or “has only square faces”.

5. Viewpoint sketch: Check that the drawing shows a recognisable 3D shape, visible edges and correctly labelled face, edge and vertex.

6. Mystery: Square-based pyramid. It has 1 square base and 4 triangular faces, 8 edges and 5 vertices.

7–8. Extension and reflection: Answers will vary. Look for accurate mathematical language and properties.