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
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Multiplicative reasoning vocabulary includes ratio, rate, unit rate, compound unit, and scale factor. In direct proportion both quantities change by the same factor; in inverse proportion one increases as the other decreases so their product stays constant.
Spend 15–20 minutes matching ratio, rate, unit rate, compound unit, scale factor, direct proportion, and inverse proportion to examples.
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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