Here is a quick one to do in your head: what is 38 + 27?
Think it through quietly first, then we will share answers aloud. When you have an answer, notice the very first thing you did in your head to work it out.
There is more than one good way to add these numbers, so every method is welcome. We want to hear them all.
Give five seconds of quiet think-time before any hands go up. Then take two or three different methods, not repeats of the same one. The two methods this opener naturally invites are partition (split the 27 into 20 and 7) and count on (hop to a friendly ten first). Jot each on the board and quietly name it. The third strategy, near double, does not fall out of 38 + 27 because these are not near-twins, so do not fish for it here — it is introduced freshly in the next step. Do not correct or rank the methods yet.

Partition means we split one number into its tens and units. We split 27 into 20 and 7. Watch the jumps: we start on 38, hop forward 20 to land on 58, then hop 7 more to land on 65.
Counting on means we hop forward to reach a friendly ten first, then add the rest. We start on 46 and hop just 4 to reach 50, then 5 more to land on 55. Reaching a ten first keeps it tidy.
A near double is when the two numbers are almost twins. We double one of them, then adjust by the small difference. Here we hop 35 to land on 70, then just 1 more to land on 71.
Walk each example one at a time and name it aloud as the arcs draw. The plain-language meaning of each strategy is now on the board too, so point to it as you say it.
Do not move on until the class can name which strategy suits each kind of sum.
Today we work through these additions together on the number line: 48 + 23, then 27 + 29, then 55 + 8. One pupil works at the board while the rest of us follow along and confirm the landing number.
For each one, we draw the jump arcs to reach the total, and we say which strategy we chose before we start. Sometimes we bridge to a friendly ten — that means we hop to the nearest tidy ten first, like 50 or 60, before adding the rest.
This round is for talking it through together — one pupil works at the board, the class agrees or corrects out loud.
The widget starts on 48 with a 20–80 line so all three sums fit; reset the start point for each sum (48, then 27, then 55) before the pupil draws. For 48 + 23, watch for pupils who bridge through 50 (hop 2, then 21) versus those who partition (+20, +3) — both are correct, name each. For 27 + 29, the near-double spotting is the prize; revoice so 29 is just one less than 30. For 55 + 8, counting on to 60 first is the tidy route. Let a pupil pick the strategy first, draw the arcs, then the class confirms the landing number.
In your maths copy, work out these three additions. Each time, write the strategy name you chose beside the answer.
The strategy names you can choose from are partition, count on and near double.
Walk the room glancing at the strategy name beside each answer — this is whole-class copybook practice, not marking. Look for 39 + 39 being spotted as a clean double (78), and 58 + 6 counted on through 60. The strategy label matters as much as the answer here.
Today we take on a set of additions that step up in difficulty: 26 + 17, then 48 + 35, then 67 + 28, then 89 + 46. Add the jumps along the line to reach each total, and choose the strategy that fits the numbers.
The last sum, 89 + 46, is a stretch: it crosses past 100 into the hundreds, so its jumps are bigger. If that one feels tricky, just watching the jumps and predicting the landing number is plenty.
This round is the practice bank — one pupil works at the board, the class checks each answer and confirms before moving on. Keep the board work brisk rather than over-explaining.
The labels now suggest a route rather than prescribe one, and more than one jump path works on each, so let pupils pick the strategy that fits. 89 + 46 reads naturally as a partition (+40, then +6) as well as a count-on; accept both. The later sums cross into a new ten (and 89 + 46 crosses into the hundreds), so the bigger jumps are worth narrating: which jump crosses a ten or a hundred, and why does that make it trickier? Let the class predict the landing number before the pupil presses Check.
When is partition faster than counting on, and when is the opposite true? Think of a sum where each one would be your first choice.
Listen for pupils linking the choice to the numbers: counting on shines when one number is small or close to a friendly ten (46 + 9), partition shines when both numbers are chunky (38 + 27). Revoice a strong answer: so you pick the strategy that fits the numbers, not the same one every time. Head off the idea that there is one correct method.
Next we look at mental subtraction strategies, including counting up to find the difference between two numbers.
Close by asking the class to name their own favourite strategy from today and one sum it suits.
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