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National Curriculum: Ratio, proportion and rates of change - KS3

Created on 15 October 2013 by ncetm_administrator
Updated on 04 June 2014 by ncetm_administrator

National Curriculum: Ratio, proportion and rates of change - Key Stage 3

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 one 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 two parts in a given part:part or part:whole ratio; express the division of a quantity into two parts as a ratio
  • understand that a multiplicative relationship between two quantities can be expressed as a ratio or a fraction
  • relate the language of ratios and the associated calculations to arithmetic of fractions and to linear functions
  • solve problems involving percentage change, including: percentage increase, decrease and the 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

Non-Statutory Guidance

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