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
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