Classifying shapes by properties
Compare and classify geometric shapes based on their properties and sizes; understand that attributes belonging to a category also belong to all subcategories; classify two-dimensional figures in a hierarchy based on properties
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Classifying shapes by properties 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: Paper shapes or a ruler and pencil; Shape name cards. Adult traces or shows one shape and names a property (sides/angles). Child identifies three shapes or measures one simple property and records it. Done: three correct shape/property responses. Stop 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 Classifying shapes by properties. Not every lab worksheet.
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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
- Explain why all squares are rectangles but not all rectangles are squares
- Place quadrilaterals in a hierarchy diagram showing subset relationships
- Identify properties shared by all parallelograms and explain why rhombuses and rectangles are special cases
“If someone asks your child "is a square also a rectangle?", can they explain why the answer is yes — because a square has all the properties of a rectangle plus equal sides?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Geometry
- Age range
- Ages 10–12
Standards