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Proportion Graphs

REPRESENTATIONAL
MathematicsRatio & Proportion|Ages 11—14|ID: mt_FspV_imUGK

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

Mastery Evidence

  • 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 [child] 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?”

Prerequisites0

No prerequisites — this is a foundational topic.

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