Mathematics · Year 3

Active learning ideas

Properties of 3D Shapes

Active learning works well for properties of 3D shapes because students need to handle objects, build models, and physically manipulate nets to grasp abstract concepts like faces, edges, and vertices. Concrete experiences help children move from guessing to confidently identifying and comparing shape properties through touch and sight.

• National Curriculum Attainment Targets
• KS2: Mathematics - Geometry: Properties of Shapes

• 25–40 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Stations Rotation
• 25 min · Pairs

Object Hunt: Classroom Shapes

Students search the classroom for objects matching 3D shapes like cylinders or pyramids. They count faces, edges, vertices on each, sketch findings, and share with the group. Compile class results into a shared chart.

Compare the properties of a cube and a cuboid.

Facilitation Tip

During Object Hunt, circulate with a notepad to listen for students using terms like 'face' and 'edge' naturally as they describe the shapes they find around the classroom.

What to look for

Provide students with drawings of a cube, a cuboid, and a square-based pyramid. Ask them to: 1. Label one face, one edge, and one vertex on each shape. 2. Write one sentence comparing the faces of the cube and the cuboid.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 02

• Stations Rotation
• 40 min · Small Groups

Build It: Connector Models

Provide straws, pipe cleaners, and marshmallows. Give descriptions like 'six rectangular faces, twelve edges, eight vertices.' Pairs construct, verify properties, then swap models to describe back.

Explain how to identify the faces, edges, and vertices of a pyramid.

Facilitation Tip

For Build It, provide a limited number of connectors per pair to encourage negotiation and problem-solving when constructing shapes.

What to look for

Hold up various 3D objects (or pictures). Ask students to hold up fingers to indicate the number of faces, edges, or vertices for a specific shape. For example, 'Show me how many vertices a cube has.'

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 03

• Stations Rotation
• 35 min · Individual

Net Challenge: Fold and Count

Distribute nets of cubes, cuboids, pyramids. Students fold into 3D shapes, count and label properties, then predict properties before unfolding to check. Discuss surprises.

Construct a model of a 3D shape based on a description of its properties.

Facilitation Tip

In Net Challenge, ask students to predict how many faces the net will form before folding to deepen their spatial reasoning.

What to look for

Present students with a description: 'I am thinking of a 3D shape with a square base and four triangular faces that meet at a single point.' Ask: 'What shape am I describing? How do you know? Can you draw it?' Facilitate a class discussion where students explain their reasoning.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 04

• Stations Rotation
• 30 min · Small Groups

Property Sort: Group Debate

Mix shape models in a centre. Groups sort by properties like 'four triangular faces' or 'no vertices,' justify choices, and vote on tricky items.

Compare the properties of a cube and a cuboid.

Facilitation Tip

During Property Sort, give groups time to plan their arguments before sharing to build confidence in expressing mathematical ideas.

What to look for

Provide students with drawings of a cube, a cuboid, and a square-based pyramid. Ask them to: 1. Label one face, one edge, and one vertex on each shape. 2. Write one sentence comparing the faces of the cube and the cuboid.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

A few notes on teaching this unit

Teachers should avoid rushing students to definitions before exploration. Instead, let children notice and name properties through hands-on work first. Research suggests pairing verbal explanations with physical actions, such as tracing edges or counting vertices on a model, strengthens retention. Always model precise language yourself, using terms like 'triangular face' or 'rectangular prism' consistently.

Successful learning looks like students accurately counting and describing faces, edges, and vertices on different shapes, using precise vocabulary to compare shapes, and confidently constructing models from verbal descriptions. Students should explain their reasoning during group discussions and debates.

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Watch Out for These Misconceptions

• During Object Hunt, watch for students who assume all six-sided shapes are cubes because they have the same number of faces.

  During Object Hunt, have students measure two adjacent edges of their found shapes with rulers to check if all edges are equal, prompting them to compare cubes and cuboids side-by-side.

• During Build It, watch for students who assume all pyramids must have square bases.

  During Build It, provide triangular and square base templates for students to choose from, then ask them to describe how the base affects the triangular faces meeting at the vertex.

• During Net Challenge, watch for students who count the edges of the net as edges of the 3D shape.

  During Net Challenge, have students highlight the edges of the net with markers before folding, then compare the highlighted edges to the edges of the folded model to see where they connect.

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Methods used in this brief

• Stations Rotation