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Mathematics·Ratio & Proportion·procedural

Ratio Notation

Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction representations

Suggested ages 11–12

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Evidence of understanding

  • Write a ratio from a word problem and simplify it (e.g. 12:8 = 3:2)
  • Convert a ratio to equivalent fractions of a whole (e.g. 3:2 means 3/5 and 2/5)
  • Simplify ratios involving decimals or fractions by finding a common multiplier

Assessment prompt

If a smoothie recipe uses orange juice and mango juice in the ratio 3:2, can Ratio Notation simplify that ratio, express it as a fraction, and work out how much of each is needed for a given total amount?

Standards alignment

6.RP.1US · ccss-math

Understand Ratio Concepts

Common Core State Standards for Mathematics · 6

KS3.Maths.Ratio.4GB · uk-nc-2013

Ratio Notation

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3