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
Typical age: 11–14 years
“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?”
0 / 3 mastered
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Needs first
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Unlocks next
- Scale and similar shapes (age 11+)
Scale diagrams use proportional relationships that can be represented on double number lines
- ProportionREQUIRED
Direct and inverse proportion with graphical representations requires reading and plotting proportion graphs (y = kx through origin)
- Compound Units
Compound units like speed and density involve proportional relationships visible on proportion graphs
- Ratio Notation
Ratio notation and simplification is complemented by double number line representations
- Ratio Notation and RelationshipsREQUIRED
Understanding multiplicative relationships as ratios or fractions is reinforced by the double number line and proportion graph