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MathematicsRatio & ProportionAges 11–14

Proportional Reasoning Vocabulary

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

Learning resources

Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.

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The teaching approach above still stands. Curated practice links will appear here as the shelf fills.

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Check understanding

  • 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
“If your child 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)?”

Curriculum record

Type
Language
Subject
Mathematics
Domain
Ratio & Proportion
Age range
Ages 11–14