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
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“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)?”
Full guide and materials
- Activity. 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
What to notice. Identify whether a real-world relationship is direct or inverse proportion and justify the choice • Set up and solve a direct-proportion equation (e.g. if 4 pens cost £6, find the cost of 10) • Sketch graphs showing direct proportion (straight line through origin) and inverse proportion (curve)
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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)?
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
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Check understanding
- Identify whether a real-world relationship is direct or inverse proportion and justify the choice
- Set up and solve a direct-proportion equation (e.g. if 4 pens cost £6, find the cost of 10)
- Sketch graphs showing direct proportion (straight line through origin) and inverse proportion (curve)
“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)?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Ratio & Proportion
- Age range
- Ages 12–14
Standards