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

Ratio: the Basic Idea

Learn what a ratio is and how to describe the split between two groups using the colon notation. Build ratio scenarios with bars and counters to see how ratios work in practice.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere is a class lined up for a photograph. In this class there are 12 boys and 18 girls. How would you describe the split between boys and girls to someone who could not see them? Is there a shorter way to say it than "twelve boys and eighteen girls"?

    2 - Watch and Notice ~9 mins

    The interactive shows four ratios as coloured bars. Look at the lengths of the bars for each ratio, and how the two groups compare. Read each ratio aloud with the colon as you go.

    Here is what each one is showing:

    • 2:3 boys to girls: in a class of 30, that is 12 boys and 18 girls.
    • 1:4 teachers to pupils: in a group of 30, that is 6 teachers and 24 pupils.
    • 3:5 red to blue counters: in a pile of 8, that is 3 red and 5 blue.
    • 1:1 cats to dogs: in a shelter of 30, that is 15 cats and 15 dogs.

    3 - Try It Together ~11 mins

    Today we set the bars to match a story. Before each one, guess which bar will be longer, and by roughly how much.

    Key point

    The first number counts one group and the second counts the other. Read the colon as "for every".

    We work through these four in order:

    • 2:1 two dogs for every cat in the shelter
    • 3:4 three apples for every four oranges in the fruit bowl
    • 2:5 two adults for every five children on the bus
    • 1:6 one goalkeeper for every six outfield players in the squad

    Set the bars to match the story

    4 - Sketch the Bars in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, sketch each ratio scenario as two bars of small squares, one square per unit, so the split is visible at a glance. Draw these three:

    • 2:3 boys to girls
    • 1:4 teachers to pupils
    • 3:5 red to blue counters

    Label each bar with its group name, and write the ratio (like 2:3) underneath each pair of bars.

    5 - Class Challenge ~8 mins

    Key point

    Today we build these ratios at our tables with two-colour counters, in this order: 2:5, then 3:7, then 4:1. For each one, lay out the counters so the split is easy to see, then say the ratio aloud.

    Optional stretch — a three-part ratio: so far every ratio has compared just two groups. A three-part ratio compares three groups at once. We write it 1:3:6 and read it "one to three to six" — for every 1 of the first colour, there are 3 of the second colour and 6 of the third colour. If your group is ready, use a third colour and build 1:3:6: one counter of the first colour, three of the second, six of the third.

    Hands-on Task

    Pupil practice
    Module 3 · Fractions, Decimals and Percentages Number
    Lesson 41 · Ratio: the Basic Idea
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