Building objects from views
Construct a simple 3-D object, such as a model made of linking cubes, that matches given consistent top, front and side views: agree which side is the front, treat the three views as overlapping constraints on where cubes can and cannot be (the top view shows what is seen from above, which need not be the base when parts overhang; front and side views can hide interior heights), build a candidate and check it against every view, adjusting until all three match; recognise that a set of views can fit more than one object and that extra information may or may not narrow the possibilities
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Building objects from views means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.
Materials: Two overlapping circles drawn on paper; Counter tokens or number cards. 1. Say the goal of Building objects from views in plain words once. 2. Adult sorts numbers into A, B, both, or neither for “even” and “multiple of 3”. 3. Child sorts three sets into a Venn diagram and counts each region. 4. Fresh check: one fresh item placement in the overlap. Record and stop. Done: three correctly sorted Venn diagrams with region counts. Proof: parent note of examples and results. Stop: End after the fresh check; keep optional challenge for another day.
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PhET Interactive Simulations · Practice link — not the full lesson
Area Builder
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Area Builder supports hands-on exploration for Building objects from views. Not every lab worksheet.
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Before you openAsk the learner what they changed in the sim or page and what they observed.
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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.
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Check understanding
- Build a cube model that matches given top, front and side views drawn on squared paper, after marking which side of the model is the front
- Check a built model by viewing it from the top, front and side, identify any view that does not match the drawings, and change the model until all three match
- Build two different models that fit the same three views (for example, by hiding or removing a cube behind others), and explain whether a further clue such as the total number of cubes would or would not decide between them
“If your child is shown drawings of a block model from the top, the front and the side, can they build a model from blocks that looks right from all three directions — and notice when a different model would give the same three drawings?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Geometry
- Age range
- Ages 11–12
Standards