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Proportion Graphs
REPRESENTATIONALRepresent 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.
Unlocks5
- Scale and similar shapes (age 11+)softAges 11—13
- ProportionhardAges 12—14
- Compound UnitssoftAges 11—14
- Ratio NotationsoftAges 11—12
- Ratio Notation and RelationshipshardAges 12—14