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Selected topic One Quantity as a Fraction Mathematics · Ratio & Proportion · view full details

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Mathematics·Ratio & Proportion·conceptual

One Quantity as a Fraction

Express one quantity as a fraction of another where the result may be less than 1 or greater than 1, and interpret the meaning in context

Suggested ages 11–12

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Evidence of understanding

Express 45 minutes as a fraction of 2 hours (= 3/8)
Express a larger quantity as a fraction of a smaller one and explain why the result exceeds 1
Simplify the resulting fraction and interpret its meaning in the original context

Assessment prompt

If there are 15 boys and 20 girls in a class, can One Quantity as a Fraction express the number of boys as a fraction of the whole class and say whether that fraction is less than or greater than a half?

Standards alignment

6.RP.1US · ccss-math

Understand Ratio Concepts

Common Core State Standards for Mathematics · 6

KS3.Maths.Ratio.3GB · uk-nc-2013

Express Quantities as Fractions

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