MathematicsGeometryAges 6–9

2-D faces on 3-D shapes

Identify 2-D shapes on the surface of 3-D shapes (e.g. a circle on a cylinder, a triangle on a pyramid)

Lesson

Set out your lesson

Identify flat circular and triangular faces on solids and distinguish curved surfaces.

Before teaching

Activity

Recognise circle, triangle and square as flat shapes; handle safe solid objects or use the supplied diagrams.

Policy

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.

Printer, credit, and teaching notes

Materials

Use the supplied stage-specific structured materials. Plain paper and pencil; screen viewing is optional.

Order

Show, guided, put teaching sheet aside, then task sheets in order; adult keys remain private.

Access

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.

Next: Show

Adult extras

What this lesson covers and its limits

These are bounded opportunities, not learner attainment. Partial and blocked source requirements remain so.

partial: Identify 2-D shapes on the surface of 3-D shapes (e.g. a circle on a cylinder, a triangle on a pyramid)
Source assessment's rectangle-wrapped-side wording clarified: unwrapped surface versus flat face. Real handling conditional; perspective descriptors may supply face identity and are not equivalent visual evidence. This is a bounded task opportunity, not established attainment or automatic use across contexts.
partial: Point out a circular face on a cylinder or cone
Mapped task(s) offer this clause only within the supplied examples. Source assessment's rectangle-wrapped-side wording clarified: unwrapped surface versus flat face. Real handling conditional; perspective descriptors may supply face identity and are not equivalent visual evidence. No attainment or automatic/general performance is claimed.
partial: Identify triangular faces on a pyramid
Mapped task(s) offer this clause only within the supplied examples. Source assessment's rectangle-wrapped-side wording clarified: unwrapped surface versus flat face. Real handling conditional; perspective descriptors may supply face identity and are not equivalent visual evidence. No attainment or automatic/general performance is claimed.
partial: Recognise that the faces of 3-D shapes are 2-D shapes
Mapped task(s) offer this clause only within the supplied examples. Source assessment's rectangle-wrapped-side wording clarified: unwrapped surface versus flat face. Real handling conditional; perspective descriptors may supply face identity and are not equivalent visual evidence. No attainment or automatic/general performance is claimed.
partial: Can {{name}} look at a 3-D shape and name the 2-D shapes on its faces — for example, saying a cylinder has circles on the ends and a rectangle wrapped round the side?
Source assessment's rectangle-wrapped-side wording clarified: unwrapped surface versus flat face. Real handling conditional; perspective descriptors may supply face identity and are not equivalent visual evidence. This is a bounded task opportunity, not established attainment or automatic use across contexts.

Source assessment's rectangle-wrapped-side wording clarified: unwrapped surface versus flat face. Real handling conditional; perspective descriptors may supply face identity and are not equivalent visual evidence.

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Teaching approaches

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Identify flat circular and triangular faces on solids and distinguish curved surfaces.

Family records and proof options

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Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.

View learner plans ($12/mo per learner) See sample family archive

Learning resources

Extra practice links — they do not replace Gakuva’s teaching approach.

PhET Interactive Simulations · Practice link — not the full lesson

Area Builder

Open practice(new tab)

Before you open · source notes

Area Builder supports hands-on exploration for 2-D faces on 3-D shapes. Not every lab worksheet.

Free interactive page, no sign-in required for the tested path.

Before you open

Ask the learner what they changed in the sim or page and what they observed.

Opening this link does not save learning or assess mastery.

Source, access and review notes

Public PhET Interactive Simulations page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.

PhET Interactive Simulations. “Area Builder.” External page; Gakuva does not copy, host, embed, or redistribute materials.

Unknown — link only

Check understanding

Point out a circular face on a cylinder or cone
Identify triangular faces on a pyramid
Recognise that the faces of 3-D shapes are 2-D shapes

“Can your child look at a 3-D shape and name the 2-D shapes on its faces — for example, saying a cylinder has circles on the ends and a rectangle wrapped round the side?”

Curriculum record

Type: Conceptual
Subject: Mathematics
Domain: Geometry
Age range: Ages 6–9

Standards

the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G1-E1.2the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G3-E1.2uk-nc-2013:Maths/Y2/GPS/3