Division Descent
Climb down: how many times does it go?
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.
- 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