Mathematics
Advanced
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen
ten-square battery bar

Ratio, Proportion and Percentage Links

Learn to read the parts of a ratio as fractions and percentages of the whole, and discover when each form is clearest for describing how a group divides.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedIn a class, 1 pupil walks to school for every 3 who get a lift. Roughly what fraction of the class walk? And if the class had 100 pupils, about how many would that be?

    2 - Watch and Notice ~9 mins

    The interactive shows three ratios on a battery bar, each as a fraction and a percentage. The filled bar is the first part and the empty bar is what is left. Watch how the two parts of every ratio add back up to 100%, then say which part is bigger in a 3:7 ratio and why, before we check it together.

    3 - Try It Together ~10 mins

    Key point

    The slider fills to the first-named part each time. So 3:2 catches people out — the first part (3 of 5) is the bigger one, so the bar fills past half.

    Now we work three ratios together on the slider: first 1:1, then 1:4, then 3:2. No pencils yet, and nothing to write here — the writing comes next in your copy. For now, just watch the board and say the answers aloud: as a class we say the total number of parts, name the first part as a fraction, then say what percentage it is. A pupil at the board sets the slider to the first part while the rest of us agree or correct out loud, then we read off the empty part and check the two make 100%.

    Set each ratio part as a percentage

    4 - Write the Three Forms in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, for each ratio write the total number of parts, then each part as a fraction of the total, and then as a percentage. Set them out one under the other so you can check the two percentages add to 100.

    • 1:3
    • 2:3
    • 3:7
    • 1:4

    5 - Class Challenge ~8 mins

    Key point

    Now we turn each ratio into the percentage of one named part. Watch closely, because the part each question asks for changes. For 1:3, 2:3 and 3:7 we set the first-named part (the smaller one). For 1:1 both parts are equal, so it is just 50% either way. The last one is the tricky switch: 9:1 asks for the larger part, not the smaller one, so read the label carefully before you set the slider. Read each ratio, say the total parts, then set the slider to the percentage of the named part and press Check.

    Turn the ratio into a percentage

    Pupil practice
    Module 4 · Ratio and Proportion Measures
    Lesson 45 · Ratio, Proportion and Percentage Links
    Download Activity Book page (PDF)
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