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> <Scale factors and ratio>
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
<Ratios of a Greek goddess>
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
<Percentage change>
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
<Time, speed and distance part 1> <Time, speed and distance part 2>