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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

Mathematics · Multiplication & Division · conceptual

Understand and apply the conventional order of operations (PEMDAS/BODMAS) to carry out calculations involving the four operations

What mastery looks like

  • Explain why 8 + 2 × 5 = 18 (not 50) by referencing multiplication before addition
  • Evaluate a multi-step expression like 12 ÷ 3 + 4 × 2 correctly as 12
  • State the correct order: brackets, then orders/exponents, then multiplication/division (L→R), then addition/subtraction (L→R)

Check your understanding

If Order of operations sees '8 + 4 × 3', do they get 20 — not 36 — because they know to do the multiplication before the addition?