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

Division as Grouping and the Times-and-share Link

Explore how division groups equal quantities and discover the multiplication–division fact family that links three numbers together using counters and number lines.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere are 12 counters on the board. How many groups of 4 can we make from them? And once you know that, what times fact does it match?

    2 - Watch and Notice ~8 mins

    We make equal groups from a pile of counters and read what we find two ways. Watch how a division question and a multiplication fact turn out to be the same three numbers.

    First: how many fours are in 12? Then: how many fives are in 20? Look for the pattern between the groups you make and the times fact hiding underneath.

    3 - Try It Together ~12 mins

    Today we work these together on the number line: how many fives in 20, how many fours in 12, then how many threes in 18. Start at 0 and add equal jumps of the group size until the marker lands exactly on the total. Then count the arcs to say how many groups, and name the times fact it matches.

    How many groups fit?

    4 - Write the Fact Family in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, write the fact family for 4, 5 and 20 — two multiplications and two divisions. Then do the same for 3, 6 and 18.

    • 4 × 5 = 20
    • 5 × 4 = 20
    • 20 ÷ 4 = 5
    • 20 ÷ 5 = 4

    Now write all four sentences for 3, 6 and 18 the same way.

    5 - Class Challenge ~8 mins

    Today we work through these together on the number line, from 0 each time: reach 12 in 2s, then 15 in 5s, then 28 in 4s, then 30 in 6s. Each one uses only that one jump size. When the marker lands on the total, count the arcs to say how many groups fit — then tell us the times fact that checks it.

    Reach the total in equal jumps

    Pupil practice
    Module 2 · The Four Operations: Mental and Written Number
    Lesson 26 · Division as Grouping and the Times-and-share Link
    Download Activity Book page (PDF)

    Practice at home
    Homework
    Device required
    Tonight's homework — work through these on your device.
    Number line jumps
    123learn · Online learning platform

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