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
Teaching approaches
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1 approach
If your 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?
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
Learning resources
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0 before · 5 after
Before
No prerequisite
This concept
Check 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?'
“If your 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?”
Curriculum record
- Type
- Representational
- Subject
- Mathematics
- Domain
- Ratio & Proportion
- Age range
- Ages 11–14