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Proportional Reasoning Vocabulary
LANGUAGEKnow and use advanced vocabulary of multiplicative reasoning — direct proportion, inverse proportion, ratio, rate, unit rate, compound unit, scale factor — accurately in problem-solving contexts
Mastery Evidence
- 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
Assessment Prompt
“If [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)?”
Prerequisites0
No prerequisites — this is a foundational topic.
Unlocks10
- Scale and similar shapes (age 11+)hardAges 11—13
- ProportionhardAges 12—14
- Percentages as FractionssoftAges 11—13
- Percentages (age 12+)softAges 12—14
- Compound UnitshardAges 11—14
- Dividing Quantities by RatiohardAges 11—13
- Unit ConversionssoftAges 11—12
- One Quantity as a FractionsoftAges 11—12
- Ratio NotationhardAges 11—12
- Ratio Notation and RelationshipshardAges 12—14