Mathematics
Intermediate
40 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen

Mental Addition Strategies: Partition, Count on and Near Doubles

Learn three mental addition strategies—partition, count-on and near doubles—and use a number line to show how each one works. Choose the strategy that fits the numbers you are adding.

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    1 - Getting Started ~4 mins

    Here is one to do in your head: what is 38 + 27? Hands up when you have it.

    Now the interesting part: how did you do it in your head? Did you split one number up? Did you count on from 38? Did you spot a double you already knew? There is more than one good way, and today we will name the ones you used.

    2 - Watch and Notice ~9 mins

    38 + 27 by partition

    Watch the jumps. We start at 38, jump +20 to land on 58, then jump +7 to land on 65. We split the 27 into 20 and 7.

    46 + 9 by counting on

    This time we jump +4 to get to a tidy 50 first, then +5 more to land on 55. Jumping to the next tidy ten first is called bridging, and it makes the second jump easy.

    35 + 36 as a near double

    Here is the new one. We already know double 35 is 70. So the first big jump of +35 lands us on 70 in one go, because that is the double doing the heavy lifting. Then 36 is just one more than 35, so we jump +1 more to land on 71. We did not split 36 into tens and units at all, we leaned on a double we already knew.

    48 + 23 by counting on, bridging through 50

    We count on, but we bridge first: jump +2 to reach the tidy ten of 50, then +21 to land on 71. Crossing the tidy ten first keeps the second jump simple.

    3 - Try It Together ~9 mins

    Key point

    On the hundred square, moving down a row is +10 and moving along is +1. Watch that as we count on together for these additions: 34 + 22, then 27 + 15, then 53 + 19. For each one we step down for the tens and along for the units, then say the answer aloud.

    Show the count-on path

    4 - Work It in Your Copy ~2 mins

    COPYBOOK MOMENT

    In your maths copy, work these three additions. Beside each answer, write the name of the strategy you chose: partition, count on, or near double.

    • 47 + 25
    • 39 + 39
    • 58 + 6

    5 - Class Challenge ~8 mins

    Today we reach each target by adding jumps along the number line: 26 + 17, then 48 + 35, then 67 + 28. Each one crosses a ten somewhere, so we will choose our jumps carefully.

    Reach the target sum

    Pupil practice
    Module 2 · The Four Operations, Mental and Written Number
    Lesson 13 · Mental Addition Strategies: Partition, Count on and Near Doubles
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