3-D shapes (age 11+)
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
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.
Can distinguish flat faces, edges and vertices; all slicing is imagined, no knives or food containers.
Exact directed source edges retained; earlier authorship is not learner attainment.
These supplied stage cards
Scrap paper and pencil; oral/pointing response where appropriate
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.
Use the supplied screen cards; copying the exact task to paper is optional, not required.
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 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.
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.
Learning resources
Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.
No reviewed resources for this concept yet.
The teaching approach above still stands. Curated practice links will appear here as the shelf fills.
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