Edges, vertices, and faces
Identify and describe properties of 3-D shapes including the number of edges, vertices, and faces
Lesson
Set out your lesson
Distinguish and count faces, edges and vertices on a cube and triangular prism.
Before teaching
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.
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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.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Breaking Apart Composite Solids
Before you open · source notes
Breaking apart composite solids supports talking about edges, vertices, and faces of 3-D parts. Not every net-drawing lesson.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to name an edge, a vertex, and a face on one solid piece.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “Breaking Apart Composite Solids.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
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 6–13
Standards