Mathematics
Intermediate
50 mins
Teacher/Student led
Learning Goals
Learning Outcomes
Lesson Files
+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

Finding a Half, a Third and a Quarter of a Quantity

Learn to find a half, a third and a quarter of a quantity by sharing amounts into equal groups. Use counters and drawings to understand how the bottom number of a fraction tells you how many groups to make.

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    Your written work is on page 36
    Equal groups

    1 - Getting Started ~4 mins

    Here are 12 counters on the board. If four children in a family share them out completely fairly, so nobody gets more than anybody else, how many counters will each child end up with?

    Have a think before any hands go up.

    👇 Mark your steps as done as you complete them.

    +5 XP

    2 - Watch and Notice ~11 mins

    The interactive shares out counters to find a fraction of a number. Each time, watch two things: how many equal groups we make, and how many counters land in one group.

    👇 Mark your steps as done as you complete them.

    +10 XP

    3 - Try It Together ~7 mins

    Worked example

    Today we work through these fractions of quantities together on the board: one half of 6, then one third of 6, then one quarter of 12. Each time we ask the same two questions — how many equal groups, and how many in one group? For the last one, the total on the board grows from 6 up to 12 before we share it.

    Find the fraction of the quantity together

    +15 XP

    4 - Work It in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, find one half of 10 and one quarter of 8 by drawing the equal groups. Then write each answer as a number sentence.

    • one half of 10 = ___
    • one quarter of 8 = ___

    For one half, draw 2 groups and share the 10 fairly. For one quarter, draw 4 groups and share the 8. Count what lands in one group, then fill in your number sentence.

    +10 XP
    Pupil practice
    Module 3 · Fractions and First Decimals Number
    Lesson 38 · Finding a Half, a Third and a Quarter of a Quantity
    Download Activity Book page (PDF)
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