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Key Stage 3 - Ratio Proportion and Rates of Change

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

<Write a ratio in its simplest terms>   <Similar ratios>

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

<Ratio as unequal sharing>   

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

<Unitary relationships>   <Direct proportionality>

Use compound units such as speed, unit pricing and density to solve problems