AI Constitution

Resources · Learning tool

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.

Sign in to track your progress and get personalized recommendations. You can browse freely below.

Knowledge-graph map

Computing
Mastered Ready to learn LockedHover a node for its description · click to open
← Back

Shape patterns

Mathematics · Mathematical Thinking · meta

Look for and use mathematical structure: apply properties of operations, place-value patterns, and relationships between shapes to solve problems efficiently

What mastery looks like

  • Use the commutative property deliberately (e.g. reorder 3 + 9 as 9 + 3 to count on from the larger number)
  • Use place-value structure to add or subtract tens (e.g. 47 + 10 = 57 because only the tens digit changes)
  • Recognise structural similarities between shapes (e.g. rectangles and squares both have 4 sides and 4 right angles)

Check your understanding

When Shape patterns notices a pattern in their maths work — like how multiplying by 10 always adds a zero — do they use that pattern to solve similar problems more quickly?