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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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Advanced Multi-Step Problems

Mathematics · Mathematical Thinking · meta

Make sense of complex multi-step problems involving ratio, proportion, algebra, negative numbers, and all four operations with fractions and decimals by analysing given and unknown quantities, planning solution strategies, and evaluating reasonableness using estimation and inverse operations

What mastery looks like

  • Break down a three-step ratio problem into sub-problems and plan a solution pathway
  • Identify which quantities are known/unknown in an algebraic word problem and set up equations
  • Use estimation to check whether a decimal division answer is reasonable before finalising

Check your understanding

When Advanced Multi-Step Problems faces a complex maths problem involving algebra, ratio, or fractions with multiple steps, do they break it into manageable parts, estimate what's reasonable, and verify their answer using a different approach?