Edges, vertices, and faces
Identify and describe properties of 3-D shapes including the number of edges, vertices, and faces
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Teaching Table
Set out your lesson
Distinguish and count faces, edges and vertices on a cube and triangular prism.
Track an object while turning it; tell a flat surface from a line and a point.
Directed source edges are preserved, not assumed completed. If the readiness probe is difficult, model with support and record supported practice instead of independent evidence.
Use the supplied stage-specific structured materials. Use polyhedra.svg and optional real box/triangular-prism model. Diagram has front and hidden edges; do not count dashed lines as extra edges.
Show, guided, put teaching sheet aside, then task sheets in order; adult keys remain private.
No printing or cutting is required unless explicitly choosing a physical construction. Exact paper alternatives are in each material; adaptations change the evidence mode as stated.
Materials are ready in each step. Use them on screen or print just the current step. Put teaching examples aside before the learner tries.
What this lesson covers and its limits
These are bounded opportunities, not learner attainment. Partial and blocked source requirements remain so.
- partial: Identify and describe properties of 3-D shapes including the number of edges, vertices, and faces
Flat-faced cube/prism only; no ambiguous sphere/cone edge conventions. Text structural alternative changes evidence mode; image unrendered. This is a bounded task opportunity, not established attainment or automatic use across contexts.
- partial: Count the edges, vertices, and faces of common 3-D shapes
Mapped task(s) offer this clause only within the supplied examples. Flat-faced cube/prism only; no ambiguous sphere/cone edge conventions. Text structural alternative changes evidence mode; image unrendered. No attainment or automatic/general performance is claimed.
- partial: Use the terms edge, vertex (vertices), and face correctly
Mapped task(s) offer this clause only within the supplied examples. Flat-faced cube/prism only; no ambiguous sphere/cone edge conventions. Text structural alternative changes evidence mode; image unrendered. No attainment or automatic/general performance is claimed.
- partial: Describe a 3-D shape by its properties (e.g. a cube has 6 faces, 12 edges, 8 vertices)
Mapped task(s) offer this clause only within the supplied examples. Flat-faced cube/prism only; no ambiguous sphere/cone edge conventions. Text structural alternative changes evidence mode; image unrendered. No attainment or automatic/general performance is claimed.
- partial: Can {{name}} count the faces, edges, and vertices of a 3-D shape like a cube or triangular prism?
Flat-faced cube/prism only; no ambiguous sphere/cone edge conventions. Text structural alternative changes evidence mode; image unrendered. This is a bounded task opportunity, not established attainment or automatic use across contexts.
Flat-faced cube/prism only; no ambiguous sphere/cone edge conventions. Text structural alternative changes evidence mode; image unrendered.
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Teaching approaches
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1 approach
Distinguish and count faces, edges and vertices on a cube and triangular prism.
Distinguish and count faces, edges and vertices on a cube and triangular prism.
Family records and proof options
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Learning resources
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Check understanding
- Count the edges, vertices, and faces of common 3-D shapes
- Use the terms edge, vertex (vertices), and face correctly
- Describe a 3-D shape by its properties (e.g. a cube has 6 faces, 12 edges, 8 vertices)
“Can your child count the faces, edges, and vertices of a 3-D shape like a cube or triangular prism?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Geometry
- Age range
- Ages 6–7
Standards