Proportion
Recognise and solve problems involving direct proportion (as one quantity increases, the other increases at a constant rate) and inverse proportion (as one increases, the other decreases), including graphical and algebraic representations
Typical age: 12–14 years
“Does your child understand the difference between quantities that grow together at the same rate (direct proportion) and ones where one goes up as the other goes down — like more workers meaning fewer days to finish a job (inverse proportion)?”
0 / 3 mastered
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Needs first
- Proportional Reasoning VocabularyREQUIRED
Direct and inverse proportion require 'direct proportion' and 'inverse proportion' as precisely understood contrasting terms
- Proportion GraphsREQUIRED
Direct and inverse proportion with graphical representations requires reading and plotting proportion graphs (y = kx through origin)
- Dividing Quantities by RatioREQUIRED
Proportion problems require dividing quantities in given ratios
- Linear Function Graphs
Graphical representations of proportion connect to linear graphs (y = kx through origin)
- Ratio Notation and RelationshipsREQUIRED
Direct/inverse proportion requires understanding multiplicative relationships