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.

Teacher Class Feed

Load previous activity

    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

    Watch 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

    The board shows four strips as a reference: one half, one quarter, one third, then two quarters, each already split into equal parts and shaded. You each have your own paper strip. We read the board together, one strip at a time, and you fold or shade the same fraction on your own strip. One classmate at a time points to the next strip on the board and names it aloud, and the rest of us agree or correct. Each time, count the equal parts carefully before you shade, and check the parts are exactly the same size.

    Fractions of a length

    4 - Ring the Fractions in Your Copy ~3 mins

    COPYBOOK MOMENT

    First we watch one worked example on the board together. The teacher draws 4 dots in a row. We share them into two equal groups to find one half, ring one group, and count how many we ringed. After that, 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 32 · Fractions of a Length and of a Set
    Download Activity Book page (PDF)
    End of lesson
    123learn · Online learning platform

    Unlock the full learning experience

    You're previewing this lesson. Get full access to this lesson and hundreds more — each one ready to teach, with interactive activities, printable resources and pupil progress tracking built in.

    Hundreds of curriculum-aligned lessons
    Interactive activities in every lesson
    Printable resources & progress tracking
    Copyright Notice
    This lesson is copyright of Coding Ireland 2017 - 2025. Unauthorised use, copying or distribution is not allowed.
    🍪 Our website uses cookies to make your browsing experience better. By using our website you agree to our use of cookies. Learn more