Science · Stage 6
Challenge: Quantitative Reasoning
A steady rate is a promise — learn it once, and you can work out any amount, for any time, fairly and exactly.
✦ Science📘 Stage 6 · S6⏱ ~13 min🧒 Ages 10–12★ Free to start
I can work out questions like: "At that same steady speed, how far would the cyclist ride in three hours?"
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Kavi and the Steady Cyclist
A cyclist glides past Kavi's branch — 12 km in the first hour, then 12 more, then 12 more. "Her speed is steady!" hoots Kavi. "So I don't have to watch all day — if she keeps that same rate, I can work out how far she'll ride in any number of hours. That is the power of a rate!"
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What your child will learn
1The language of comparing fairlyRatios, rates and proportions let us compare amounts fairly. Tap each idea to learn it.
2Evidence: a steady rate climbs evenlyA graph is evidence. When a rate is steady, each equal step of time adds the same amount — so the bars climb by equal jumps.
3Use the rate to work it outRead the steady rate, then scale it. Pick your answer, tap to check, then tap Next test for another case!
4Guessing vs proportional reasoningThe same steady cyclist — but one way is only a guess. Tap each card.
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A peek inside
The steady cyclist. Maya rides at a steady 12 km every hour. At that same speed, how far will she ride in 3 hours?
Her rate is 12 km for each 1 hour (the unit rate). 'Steady' means every hour is the same, so 3 hours is 12 + 12 + 12, which is 12 × 3. 12 × 3 = 36.
Try this at home: A cyclist rides a steady 12 km each hour. How far in 4 hours?
Ready to play and learn?
Start the free interactive lesson, or print the handout for screen-free play.
Part of Science · Stage 6 · S6 on KAVI Academy — a secular, whole-child learning platform for ages 5–12.