Mathematics
Intermediate
40 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen

Fractions of a Length and of a Set

Learn how to find fractions of lengths and sets by splitting or sharing into equal parts first, then taking the parts you need. Use paper strips and counters to explore halves, quarters and thirds.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedPicture twelve hurling sliotars laid out on the table in front of two GAA teams. One team needs to take their fair share. If we give one half to one team and one half to the other team, how many sliotars does each team get? Have a think before any hands go up.

    2 - Watch and Notice ~8 mins

    Illustration for Watch and NoticeWatch the fraction strips on the board. First we split a whole strip into two equal parts and shade one half. Then we split a strip into four equal parts and shade one quarter. Then a strip into three equal parts for one third. Notice the rule: split the whole into equal parts first, then take the parts you need. The very same rule works when we share a set of counters into equal groups.

    3 - Try It Together ~11 mins

    Look at the four strips on the board. One classmate at a time comes up to shade a fraction, and the rest of us follow on the board and agree or correct out loud. We shade one half on the first strip, one quarter on the second, one third on the third, then two quarters on the last strip. Each time, count the equal parts carefully before shading, and check the parts are exactly the same size.

    Mark fractions of a length

    4 - Ring the Fractions in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, draw 8 dots in a row and ring one half of them. Then, underneath, draw 6 dots and ring one third of them. Count how many you ringed each time and write the number beside your rings.

    5 - Class Challenge ~9 mins

    You each have counters and a 12 cm paper strip at your own desk. We work through these four together, one at a time.

    The rule today

    Each time, share into equal parts first, then count.

    1. Find one half of 10 counters.
    2. Find one quarter of 8 counters.
    3. Find one third of 9 counters.
    4. Find one half of the 12 cm paper strip by folding.

    Hands-on Task

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    When we took one half of a length and one half of a set, what was the same about what we did each time?

    7 - What's Next ~2 mins

    What we learned today

    • To find a fraction of a length, split it into equal parts, then take the parts you need.
    • To find a fraction of a set, share the objects into equal groups, then take the groups you need.
    • Both jobs start the same way: make equal parts first, then count.
    Key point

    Both jobs start the same way: make equal parts first, then count.

    Coming up

    Next we place fractions on a number line, finding exactly where one half, one quarter and one third sit between 0 and 1.

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