Hundred Line Hop

No tick marks this time. Where does 63 go?

Game Adjusts as you go The number line itself 2.NBT.A.1 MagPI · Number line estimation
Counting on in ones? Start here. A short lesson on a number line, where one marker jumps ten at a time so you can see that every jump of ten is the same size. About about 4 minutes.
Show me jumps of ten → How do jumps of ten work again?
▤ Print this All of 2nd grade

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: “Use landmarks” — Fifty is the middle. Twenty-five is halfway to the middle. Work from those. 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

Estimating where a number sits on a 0–100 line.

The same number line, now without tick marks. Removing them is the point: the child has to reason from landmarks (nought, fifty, one hundred) instead of counting, which is what estimating a magnitude actually is.

The underlying idea
Landmark-based estimation rather than counting.
Where this sits in Illustrative Mathematics
2nd grade Unit 4: Addition and Subtraction on the Number Line · 2nd grade Unit 5: Numbers to 1,000
Sources
Institute of Education Sciences / What Works Clearinghouse (2021) · Schneider et al. (2018) · Geary (2011)  all references →

Related measured skill: MagPI · Number line estimation. What this means

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