3-D shapes (age 11+)

MathematicsGeometryAges 11–13

Use the properties of faces, surfaces, edges, and vertices of 3-D shapes (cubes, cuboids, prisms, cylinders, pyramids, cones, and spheres) to solve problems, including visualising cross-sections

Teach this topic

Share and support

Teaching Table

Set out your lesson

Practise the bounded task in 3-D shapes (age 11+); see exact limits before inferring broader coverage.

Activity

Can distinguish flat faces, edges and vertices; all slicing is imagined, no knives or food containers.

Policy

Exact directed source edges retained; earlier authorship is not learner attainment.

Materials

These supplied stage cards
Scrap paper and pencil; oral/pointing response where appropriate

Sequence

Read readiness and decide on support without treating prerequisite authoring as learner readiness.
Open Show first and explain its model.
Use Guided Try with support and its separate adult key.
Close Show and guided keys before Try, unless this Try is explicitly supported.
Reflect on an actual attempt, including help used.

No Printer

Use the supplied screen cards; copying the exact task to paper is optional, not required.

Privacy

Use only invented scenarios and optional anonymous local notes. Do not request names, photos, family finances, medical data, accounts or uploads. Stop uncomfortable physical activity.

Use the complete materials on screen or print only the current sheet. Keep adult guidance out of learner view. Retain an earlier model only when the current step supplies it as context.

Teaching limits and safe use

These are finite task opportunities, not proof of mastery. Record what was attempted and what support was used.

Verbal spatial models and a proposed net; no supplied perspective solid diagram or executed net folding. Net-fold determination clause remains blocked.

Use only invented scenarios and optional anonymous local notes. Do not request names, photos, family finances, medical data, accounts or uploads. Stop uncomfortable physical activity.

Share teaching feedback Continue to your family plan

Entire curriculum

1590 concepts · 8 subjects

Compare teaching approaches

Teaching approaches

Gakuva’s recommended starting approach is selected. You can still compare every option.

1 approach

Selected Default Gakuva

Practise the bounded task in 3-D shapes (age 11+); see exact limits before inferring broader coverage.

Family records and proof options

Keep a record of your learning

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

Start Family ($12/mo) See sample proof packet

Learning resources

External links for extra practice. They do not replace Gakuva’s teaching approach.

No additional resources are listed for this topic.

The teaching approach appears above.

Check understanding

Count and describe the faces, edges, and vertices of a triangular prism and a square-based pyramid
Describe the 2-D cross-section produced by slicing a cylinder horizontally or a cone vertically
Use properties of 3-D shapes to determine whether a given net will fold into a specified solid

“If your child slices a cylinder straight across the middle like cutting a tin of beans in half, can they describe the shape of the cut surface? What about slicing at an angle?”

Curriculum record

Type: Conceptual
Subject: Mathematics
Domain: Geometry
Age range: Ages 11–13

Standards

ccss-math:7.G.3uk-nc-2013:KS3.Maths.Geo.15