Mathematics
Beginner
45 mins
Teacher/Student led
+90 XP
What you need:
IWB/Projector/Large Screen

Fractions of a Shape, a Length and a Set

Explore how fractions work across three different types: shapes, lengths and sets of objects. Use strips, chocolate bars and counters to see that one half, one quarter and one third mean the same thing everywhere.

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    1 - Getting Started ~4 mins

    Here is a chocolate bar, a long strip we can split along its length. Now picture a tub of twelve counters beside it, a pile we can share out. They are very different things, but here is a question for both of them: what would one half of each one look like?

    Key point

    Hands up: how would you split the chocolate bar to find one half? And how would you split the counters?

    2 - Watch and Notice ~9 mins

    Each strip on the board is a length cut into equal parts, with one or more parts shaded to show a fraction. Look at how each strip is split into equal parts, and look for where the shaded parts line up.

    3 - Demonstrate a Shape ~5 mins

    We have seen a fraction of a length on the strips. Now let us see a fraction of a shape together on the board.

    Worked example

    Here is a rectangular strip. It is split into four equal parts with just one part shaded. That shaded piece is one quarter of the whole strip.

    4 - Try It Together ~11 mins

    Now we work with sets of counters — a set of counters just means a group of counters. Each table has twelve counters. When I name a fraction, one pupil shares the counters at the board while the rest of us count along and predict how many will land in one group.

    Key point

    One half of the set, one quarter of the set, one third of the set — every time, we make equal groups and look at just one of them.

    Hands-on Task

    5 - Shade and Ring in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, draw a rectangle and shade one quarter of it. Then draw a line of eight dots and ring one half of them. Write how many dots are in your half.

    6 - Class Challenge ~8 mins

    Today we work through finding fractions of sets together at the board. Here are our four rounds:

    • One half of 6 counters
    • One half of 10 counters
    • One quarter of 8 counters
    • One third of 9 counters
    Key point

    Each time, share into equal groups and count just one group. We will tick each round off as we finish it.

    Hands-on Task

    7 - What Did We Notice? ~3 mins

    MATHS TALK

    How is finding one half of a shape the same as finding one half of a set of counters? What is the same about both, even though one is a strip and one is a pile of counters?

    8 - What's Next ~2 mins

    What we learned today

    • A fraction can name a part of a shape, a part of a length or a part of a set of objects.
    • Every time, we split the whole into equal parts and look at one of them.
    • One half of a set means sharing into two equal groups and taking one group.

    Coming up

    Key point

    Next we will name more fractions — fifths, eighths and tenths — and see that the more equal parts we make, the smaller each piece becomes.

    Pupil practice
    Module 3 · Fractions and First Decimals Number
    Lesson 30 · Fractions of a Shape, a Length and a Set
    Download Activity Book page (PDF)
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