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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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Order of operations (age 10+)

Mathematics · Mathematical Thinking · meta

Look for and use mathematical structure: exploit the hierarchy of 2-D shapes to deduce properties; use order of operations and algebraic structure to simplify expressions; connect fraction–decimal–percentage equivalences; use ratio structure to solve proportion problems efficiently

What mastery looks like

  • Use the property that all rectangles are parallelograms to deduce missing angle facts
  • Recognise that 3 × (n + 5) = 3n + 15 by applying distributive structure
  • Use the equivalence 1/8 = 0.125 = 12.5% flexibly to solve a comparison problem

Check your understanding

When Order of operations (age 10+) is simplifying an algebraic expression or comparing ratios, do they look for the underlying structure — like using the order of operations or spotting that two ratios are equivalent — to make the calculation more efficient?