Mathematics
Intermediate
50 mins
Teacher/Student led
+80 XP
Teacher-led from the board. Pupils do not need a device, but can follow on one.
What you need:
IWB/Projector/Large Screen
Counters

Division with Remainders

Learn what remainders are and how to write division answers as a quotient and remainder. Work through real-life sharing problems and discover why the remainder must always be smaller than the divisor.

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    Equal groups

    1 - Getting Started ~4 mins

    Illustration for Getting StartedPicture this: your team has 13 hurleys to share out between 4 players so everyone has the same number. How many hurleys does each player get? And here is the tricky part: is there anything left over?

    Hands up: what do we call the bit that is left over after we have shared as fairly as we can?

    2 - Watch and Notice ~9 mins

    The interactive deals counters into equal groups, one round at a time: each time we press Deal one, every group gets one more counter. Before each share finishes, say how many you think each group will get and how many will be left over. When there are not enough counters left for another round, the ones left over are the remainder.

    13 shared between 4

    23 shared between 5

    29 shared between 6

    30 shared between 4

    3 - Try It Together ~8 mins

    Today we work through these four divisions one after another at the board, dealing the counters into equal groups and reading off the leftover each time: 14 ÷ 3, then 22 ÷ 4, then 26 ÷ 6, then 40 ÷ 7. Each one leaves something over, and we will say the remainder aloud and check it is smaller than the number of groups before we move on to the next one.

    Deal and read the remainder

    4 - Work It in Your Copy ~2 mins

    COPYBOOK MOMENT

    In your maths copy, work these two divisions and write each answer as “□ remainder □”:

    • 17 ÷ 5
    • 26 ÷ 4

    When you have both, check each remainder is smaller than the number you divided by.

    Pupil practice
    Module 2 · The Four Operations: Mental and Written Number
    Lesson 27 · Division with Remainders
    Download Activity Book page (PDF)
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