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Education Concept Tracker

A prerequisite knowledge graph of 1590 learning concepts across 8subjects. Track what you've mastered and see exactly what you're ready to learn next — the topics whose prerequisites you've already met. Built on the Marble Open Skill Taxonomy.

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Classifying shapes by properties

Mathematics · Geometry · conceptual

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

What mastery looks like

  • 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

Check your understanding

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?