Maths Class Number Algebra Ratio Proportion & Rates of Change Geometry & Measure Probability Statistics KS3 Ratio Proportion & Rates of Change

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Page 7 - KS4 Ratio Proportion & Rates of Change

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>

The National Curriculum KS3 requirements are shown below in blue text. Underneath each of these requirements work helping to address ideas involved can be viewed by clicking on the bold underlined titles.