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

Written Addition of 3-digit Numbers with Regrouping

Learn how to add three-digit numbers by setting out columns neatly and trading ten of one place value for one in the next column to the left when needed.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Here is a question to start us off. If the units column in an addition comes to 13, that is more than nine ones. What should we do with the extra ten that does not fit in the units column?

    Have a think, then we will look at the sum 156 + 138 together and decide where a trade is going to happen.

    2 - Watch and Notice ~9 mins

    The block pictures below show the final total after trading. We do the live trading together on the board first, then look at the finished blocks to check.

    156 + 138

    Before we add: which column do you think will trade? The units make fourteen, so we trade ten ones for one ten. We write the 4 in the units and the new ten joins the tens column.

    247 + 185

    Predict first: how many columns will trade this time? Two columns make ten or more, so we trade in the units and again in the tens. Watch the small carry written above each column.

    308 + 196

    Look hard at the zero in the tens column of 308. A trade still lands there. Tell me what you think happens to that empty column before we check.

    475 + 268

    This one is the hardest. Two trades happen one after the other. Watch how each carry is added in before we read the final answer.

    3 - Try It Together ~9 mins

    Now we work through these additions together on the board: build both numbers, then trade whenever a column makes ten or more.

    We will go through four or five together — sums like 164 + 129, 273 + 158 and 345 + 286. Each pupil who comes up builds the two numbers and carries out the trade, and the rest of us say whether the carry is in the right place before we check.

    Build and trade together

    4 - Set Out the Sums in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, set out these two additions in columns, one under the other so the units, tens and hundreds line up:

    • 264 + 158
    • 437 + 295

    Carry where a column makes ten or more, then read each answer aloud to yourself.

    5 - Class Challenge ~10 mins

    Now we solve four real GAA-club problems, each one a little harder than the last:

    • A club sells 143 and 126 raffle tickets at two stalls. How many altogether?
    • A collection gathers 235 cans on Saturday and 187 on Sunday. How many in total?
    • Pupils take 318 steps to the pitch and 296 steps home on a sponsored walk. How many steps?
    • A hurling-skills stall stacks 467 cones in the morning and 358 in the afternoon. How many cones?
    Key point

    Add each one in your copy, then we check it together on the board.

    Add the GAA totals

    Pupil practice
    Module 2 · The Four Operations, Mental and Written Number
    Lesson 15 · Written Addition of 3-digit Numbers with Regrouping
    Download Activity Book page (PDF)
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