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Mathematics·Ratio & Proportion·representational

Proportion Graphs

Represent proportional relationships using double number lines (two parallel number lines aligned at 0) and ratio tables; recognise that equivalent ratios generate straight lines through the origin when graphed

Suggested ages 11–14

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Evidence of understanding

  • Plot pairs of proportional values on a coordinate grid and draw the straight line through the origin
  • Explain why a directly proportional relationship always passes through (0,0)
  • Read a proportion graph to find an unknown value — e.g. 'If 3 kg costs £6, how much does 5 kg cost?'

Assessment prompt

If Proportion Graphs is comparing the cost of buying different numbers of cinema tickets, can they sketch a proportion graph — a straight line through zero — and use it to read off the cost of any number of tickets without recalculating each time?

Standards alignment

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