Proportional Reasoning
📋 What it is
Spot when a situation is proportional and use ratios to solve it.
🗣️ Coach says
Proportional reasoning is knowing WHEN to use a ratio. If two things grow together at a constant rate (more hours → proportionally more pay), set up a proportion. Recognising proportionality is half the battle.
🧠 Memory hook
If doubling one doubles the other, it's proportional — set up a ratio and scale.
😂 Giggle
Why did the baker love proportions?
Because everything in life is better when properly measured out!
😲 Whoa!
Cooks, chemists and engineers all "reason proportionally" daily — scaling a formula up or down without changing its balance.
✅ Quick check: 3 workers build a wall in a set time; is "6 workers, half the time" proportional reasoning?
Say your answer out loud first — then reveal.
Yes (inverse) — doubling workers roughly halves the time; it's a proportional relationship.
Recognising the proportional link lets you scale the answer.
🧪 Try it! (2 minutes)
If 2 pizzas feed 6 people, use a proportion to find how many feed 15.