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

Comparing Fractions with the Same Bottom Number

Compare fractions with the same denominator by counting shaded parts, and record which fraction is bigger using the words 'is bigger than'.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere are two chocolate bars that are exactly the same size. Both have been broken into five equal pieces. One bar has two pieces shaded in. The other bar has three pieces shaded in. Which shaded part is bigger, and how can you tell just by looking?

    2 - Watch and Notice ~9 mins

    Each pair of strips is split into the same number of pieces, and different amounts are shaded. When the pieces are the same size, we can compare by counting the shaded ones. Watch each pair and decide which fraction is bigger.

    3 - Try It Together ~10 mins

    Now let's work through four pairs together. For each one, you'll come up to shade the strips and then read out which is bigger. Every pair shares the same bottom number, so we count the shaded parts to decide.

    1. 1/4 (one quarter) and 2/4 (two quarters)
    2. 3/5 (three fifths) and 4/5 (four fifths)
    3. 5/8 (five eighths) and 6/8 (six eighths)
    4. 3/10 (three tenths) and 8/10 (eight tenths) — here the tenths are the smallest pieces yet

    Shade and compare

    4 - Draw and Compare in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, draw two equal bars and split each one into fifths. Shade two fifths on the first bar and four fifths on the second bar. Then write which one is bigger using the words "is bigger than".

    5 - Class Challenge ~8 mins

    Now find the bigger fraction in each pair. Every pair shares a bottom number, and these are fresh pairs we haven't shaded yet. We build up from quarters to tenths:

    1. 2/4 (two quarters) or 3/4 (three quarters)
    2. 1/5 (one fifth) or 4/5 (four fifths)
    3. 2/8 (two eighths) or 6/8 (six eighths)
    4. 3/10 (three tenths) or 7/10 (seven tenths) — the tenths are the smallest pieces

    Compare each pair

    Pupil practice
    Module 3 · Fractions and First Decimals Number
    Lesson 34 · Comparing Fractions with the Same Bottom Number
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