Mathematics
Intermediate
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen

Written Addition: Multi-digit Whole Numbers

Learn to add multi-digit whole numbers using column addition with regrouping. Work through the standard algorithm step by step, tracking each carry as it moves left across place-value columns.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Today's question

    We are going to add two big numbers today: 4,738 + 2,569. Hands up: where do we start working — the left end with the thousands, or the right end with the units? Be ready to defend your answer.

    2 - Watch and Notice ~10 mins

    Watch three worked column-additions on the board. On each one, notice where the small carry-1 lands and which column it lands in. After each example, we name the column the carry lands in.

    The third example is a deliberate contrast. Look carefully at every column as it lands, then say what makes this one different from the first two.

    Example 1: 4,738 + 2,569 = 7,307

    The classic three-regroup case. A carry lands above the tens, the hundreds and the thousands.

    Example 2: 9,876 + 1,234 = 11,110

    One carry triggers the next, all the way up — a cascade through to the thousands, with a brand-new ten-thousands digit at the very end.

    Example 3: 5,000 + 4,999 = 9,999

    Two big four-digit numbers, but watch each column: nothing regroups at all. The numbers are big, but the columns stay friendly.

    3 - Try It Together ~13 mins

    Today we work through 6,847 + 3,956 together. One pupil at a time comes to the board and steps the algorithm column by column. Before each column is added, hands up: the teacher takes one prediction for the column total, then the rest of you show thumbs up to agree or thumbs sideways to change it before the pupil at the board taps to reveal.

    Key point

    After each carry lands, we name the column it lands in.

    6,847 + 3,956

    4 - Build Alongside in Your Copy ~5 mins

    COPYBOOK MOMENT

    In your maths copy, set up the lesson's first sum, 4,738 + 2,569, vertically — units under units, tens under tens, hundreds under hundreds, thousands under thousands. Then work each column in sync with the class, starting from the units, and mark every regroup with a small carry-1 above the next column to the left.

    5 - Class Challenge ~11 mins

    Today's bank: six sums of increasing size, starting with a no-regroup warm-up and ending with a five-digit answer. Pupils take turns at the board. Before each column is added, the class predicts the total; the pupil at the board taps Check to confirm before moving on.

    Six sums of increasing size

    Pupil practice
    Module 2 · Operations and Computational Fluency Number
    Lesson 18 · Written Addition: Multi-digit Whole Numbers
    Download Activity Book page (PDF)
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