Mathematics·Geometry·conceptual
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
Suggested ages 10–11
Learning journey
Your child is developing advanced spatial skills — working with 3D shapes and nets, using coordinate grids with negative numbers, calculating angles, and understanding geometric transformations like reflection and translation.
Evidence of 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
Assessment prompt
If someone asks Classifying shapes by properties "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?
Standards alignment
No external standards are linked to this topic.