Mathematics
Intermediate
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen

Ordering a Set of Fractions

Learn to order a set of fractions by re-expressing them over a common denominator so their numerators can be compared fairly. Use visual strips to predict and verify the order from smallest to largest.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere are four fractions all jumbled up: 1/2, 1/3, 2/3, 5/6. If I asked you to line them up from smallest to biggest, which one would you put first? What is tricky about doing that when the bottom numbers are all different?

    2 - Watch and Notice ~9 mins

    Each fraction is shaded on its own strip, and every strip is the same length. The further the shading reaches, the bigger the fraction. Watch first, then check by re-writing over a common denominator.

    3 - Try It Together ~9 mins

    Let's order this set together at the board: 1/4, 3/8, 1/2, 5/8. Before each strip is shaded, I'll ask the class to predict where it lands, then a pupil shades it and we check the prediction. When all four are shaded, we read the order out loud, smallest first.

    Order 1/4, 3/8, 1/2, 5/8

    4 - Line Them up in Your Copy ~4 mins

    COPYBOOK MOMENT

    In your maths copy, re-write each of these four fractions over sixths. Just the re-write for now — we'll say the order out loud together in a moment.

    • 1/2
    • 1/3
    • 2/3
    • 5/6

    Remember: multiply the top and the bottom by the same number so each fraction is written over sixths.

    5 - Class Challenge ~8 mins

    Today we order three sets, each one a step harder than the last: first 2/5, 1/2, 3/5, 7/10, then 1/3, 1/2, 2/3, 5/6, then the trickiest one 1/3, 5/12, 1/2, 3/4. We'll shade each set and read the order off, smallest first.

    Order the set: smallest first

    Pupil practice
    Module 3 · Fractions, Decimals and Percentages Number
    Lesson 34 · Ordering a Set of Fractions
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