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Mathematics·Ratio & Proportion·language

Percentages (age 9+)

Know and use the vocabulary of ratio and proportion — ratio, proportion, percentage, scale, equivalent, unequal, relative size, part-to-part, part-to-whole, and out of — and understand the difference between ratio (comparing parts to parts) and proportion (comparing a part to the whole)

Suggested ages 9–11

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Evidence of understanding

  • Explain the difference between a 'ratio' and a 'proportion' using a concrete example like mixing paint
  • Use 'per cent' correctly and convert between fractions, decimals, and percentages in context
  • Define 'scale factor' and use it to describe how a shape has been enlarged or reduced

Assessment prompt

If Percentages (age 9+) is sharing something 3 ways and 2 ways, can they explain the difference between a ratio (like 3:2) and a proportion (like 3 out of 5) — showing they know what each word means?

Standards alignment

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