Division Descent
Climb down: how many times does it go?
New to dividing? Start here.
A short lesson where the same twelve counters get dealt out twice, so you can see the two different questions that dividing answers. About about 4 minutes.
Show me what dividing does →
What does dividing actually do again?
For grown-ups
- How long: 5 to 10 minutes is plenty. Short and frequent beats long and occasional — the early-numeracy trials with the largest effects ran eight weeks or less.
- The strategy to reinforce: “Multiply up” — Ask how many of the smaller number fit. Try tens first: how about ten of them? If they stall, remind them of this rather than giving the answer.
- When they get one wrong: the page shows the working. Read it together rather than moving straight on. Feedback that explains is worth several times more than feedback that only marks right or wrong, and that gap is wider in maths than in any other subject.
- It adjusts as you go: this one gets harder while they are getting them right and easier if they are not, aiming to keep them succeeding about four times in five — hard enough to be worth doing, not hard enough to stop being fun. The score is how deep they got rather than how many they answered, because the difficulty moved. Nothing is stored — it starts fresh every time the page loads.
- On the timer: it is off unless you turn it on, and it is never needed. Use it only once the skill is comfortable, never to introduce it.
- Print it too: doing the same problems on paper a few days later is worth more than doing twice as many today.
What this practises
Dividing a two- or three-digit number by a single digit.
Every division here comes out exactly. That is deliberate: remainders are a separate idea, and introducing them while the procedure is still being learned means failures are ambiguous — did the method go wrong, or is the answer just untidy?
- The underlying idea
- Division as repeated subtraction of a composed unit.
- Where this sits in Illustrative Mathematics
- 4th grade Unit 6: Multiplying and Dividing Multi-digit Numbers
- Sources
- Illustrative Mathematics / Kendall Hunt (2024) · Codding et al. (2011) · Fuchs et al. (2012) all references →
Related measured skill: CALF · Multi-digit ÷. What this means