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

Fractions on a Number Line

Learn to place fractions as points on a number line between 0 and 1 by splitting the gap into equal jumps, then connect this to fractions of whole shapes.

Teacher Class Feed

Load previous activity

    1 - Getting Started ~4 mins

    Illustration for Getting StartedPicture a 100 metre running track. The start line is 0 and the finish line is 1 whole race. If a runner is at the halfway point, exactly where on the track are they standing?

    Hands up: where would halfway be, and how could you be sure it really is the middle?

    2 - Watch and Notice ~9 mins

    The number line runs from 0 to 1, and each fraction lands a marker on it. Watch how the bottom number splits the gap into equal jumps and the top number tells us how many to count.

    3 - Try It Together ~11 mins

    Today we explore together: when a fraction is called out, place its point on the line between 0 and 1. First we decide how many equal jumps to split the gap into, then we count the jumps.

    Place the called fraction between 0 and 1

    4 - Draw the Line in Your Copy ~5 mins

    COPYBOOK MOMENT

    Illustration for Draw the Line in Your CopyIn your maths copy, draw a line from 0 to 1. Split it into four equal jumps using your ruler. Then label one half at the point exactly in the middle.

    5 - Class Challenge ~7 mins

    Today we work through these fractions one at a time: place one half, then one quarter, then one third, then two thirds on the line between 0 and 1. Each time, decide the equal jumps first, then place the point and check.

    Place fractions between 0 and 1

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    We placed one half on the number line by splitting the gap into 2 equal jumps. Now picture a pizza split into 2 equal slices, and you take 1 slice. How is the point on the line the same as that slice of pizza? Both show one half — the same amount, just drawn in a different picture.

    7 - What's Next ~3 mins

    What we learned today

    • A fraction is a point between 0 and 1 on the number line.
    • The bottom number tells us how many equal jumps to split the gap into; the top number tells us how many to count.
    • One half on the line is the same amount as one half of a whole shape.
    Coming up

    Next we will line up fractions to find ones that name the very same amount, like one half and two quarters.

    Pupil practice
    Module 3 · Fractions and First Decimals Number
    Lesson 33 · Fractions on a Number Line
    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