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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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Proportional Reasoning Vocabulary

Mathematics · Ratio & Proportion · language

Know and use advanced vocabulary of multiplicative reasoning — direct proportion, inverse proportion, ratio, rate, unit rate, compound unit, scale factor — accurately in problem-solving contexts

What mastery looks like

  • Distinguish between 'direct proportion' and 'inverse proportion' with real-world examples
  • Use 'rate', 'speed', and 'density' correctly and explain what units they are measured in
  • Calculate using compound measures — e.g. work out the speed of a car that travels 120 miles in 2 hours

Check your understanding

If Proportional Reasoning Vocabulary is solving a problem about speed or density, can they explain what 'compound unit' means and tell the difference between direct proportion (more of one means more of the other) and inverse proportion (more of one means less of the other)?