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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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Proportion

Mathematics · Ratio & Proportion · conceptual

Recognise and solve problems involving direct proportion (as one quantity increases, the other increases at a constant rate) and inverse proportion (as one increases, the other decreases), including graphical and algebraic representations

What mastery looks like

  • Identify whether a real-world relationship is direct or inverse proportion and justify the choice
  • Set up and solve a direct-proportion equation (e.g. if 4 pens cost £6, find the cost of 10)
  • Sketch graphs showing direct proportion (straight line through origin) and inverse proportion (curve)

Check your understanding

Does Proportion understand the difference between quantities that grow together at the same rate (direct proportion) and ones where one goes up as the other goes down — like more workers meaning fewer days to finish a job (inverse proportion)?