Here is a sum: 47 + 38. No paper, no columns. How could you work this out in your head? There is more than one way, and some ways are quicker than others depending on the numbers.
Give five seconds of quiet think-time before any hands go up, then take three hands-up answers, not open call-outs.
Don't reveal the answer yet. Listen for the different routes pupils describe (some add the 30 first, some round up to 40) — you'll name these as strategies in the next step.

Watch 47 + 38 worked as two forward jumps. First jump +30 to land on 77, then +8 to land on 85. We split the 38 into its tens and ones.
This time we jump +40 to land on 87, which is a little too far, then jump back 2 to land on 85. Adding 40 is easier than adding 38, so we fix it afterwards.
Here we jump +3 first to land on the friendly number 50, then +35 to land on 85. Landing on a round ten first makes the next jump easier.
Watch how compensating shines here. Jump +200 to land on 435, then jump back 2 to land on 433. Adding 200 is much easier than adding 198.
Walk each example aloud, one at a time. Don't rush — the point is that the same sum can be reached three ways.
Today we explore one sum together: 56 + 27. First we choose a strategy, then we draw the jump arcs to land on the answer — and once we pick a strategy, the label on the screen names the strategy we used. When we are finished we clear the line and start fresh for the next sum the class wants to try.
This round is for talking it through together — pupils take turns at the board and the class agrees or corrects out loud.
Let the class decide the strategy before a pupil draws. For 56 + 27, some will partition (+20, +7); others will bridge to 60 (+4, +23). Both land on 83 — revoice that different routes reach the same answer.
If time allows, reset the line and let the class call a fresh two-digit sum to try the same way; the focus is matching strategy to numbers, not copying a worked example.
In your maths copy, take the sum 47 + 38 and work it three ways, one under the other: once by partitioning, once by compensating, once by bridging to fifty. Write the jumps you used beside each one. Then decide which way you would choose if you had to do it quickly.
Walk the room glancing at whether each pupil's three routes all land on 85 — this is whole-class copybook practice, not marking. If a route lands somewhere else, the jumps don't yet add to 38.
Today we work through these sums and reach each target in the fewest jumps you can: 47 + 38, then 56 + 27, then 235 + 198, then 268 + 197. The numbers get bigger, so think about which strategy keeps your jumps to a minimum each time.
This round is the practice bank — pupils take turns at the board, check each answer, and the class confirms before moving on. Keep the board work brisk rather than over-explaining.
The 'Aim' shows the fewest possible jumps. For the three-digit sums, compensating usually wins (235 + 198 in two jumps: +200, −2; 268 + 197 in two jumps: +200, −3). If a pupil reaches the answer in more jumps, accept it, then ask the class if there's a shorter route.
One pupil says partitioning is always best. Another says compensating is best for 235 + 198. Who is right, and how would you settle it? Which strategy fits 47 + 38, and which fits 235 + 198?
Listen for pupils tying the strategy to the numbers, not picking a single favourite. Revoice: 'so the numbers decide — when one number is just under a round ten or hundred, compensating wins.'
Head off the misconception that one strategy is always best. The whole point of the lesson is choosing to fit the numbers.
Next we move from mental jumps to the written column method, where we line up the ones and add column by column with regrouping.
Keep this brief. Reinforce the one big idea: mental strategy is a choice that fits the numbers, not a single rule to memorise.
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