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England National Curriculum · Key Stage 3 (Years 7–9) · Maths · Ratio and proportion

1 curriculum code

Maths

Ratio and proportion

UK-KS3-MATH-R — opens in a new tab

Pupils should be taught to:
change freely between related standard units [for example time, length, area, volume/capacity, mass]
use scale factors, scale diagrams and maps
express 1 quantity as a fraction of another, where the fraction is less than 1 and greater than 1
use ratio notation, including reduction to simplest form
divide a given quantity into 2 parts in a given part:part or part:whole ratio; express the division of a quantity into 2 parts as a ratio
understand that a multiplicative relationship between 2 quantities can be expressed as a ratio or a fraction
relate the language of ratios and the associated calculations to the arithmetic of fractions and to linear functions
solve problems involving percentage change, including: percentage increase, decrease and original value problems and simple interest in financial mathematics
solve problems involving direct and inverse proportion, including graphical and algebraic representations
use compound units such as speed, unit pricing and density to solve problems

15 resources