Mathematics Ratio & Proportion Conceptual 12–14 yrs

Proportion

比例

Description

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

Mastery Evidence

✓ 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)

Assessment Prompt

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)?