Mathematics
Intermediate
50 mins
Teacher/Student led
+75 XP
What you need:
IWB/Projector/Large Screen
Money

Dividing Decimals in Context

Share decimal amounts of money and measures into equal groups, keeping the decimal point lined up directly above the starting point. Decide how to handle leftovers based on the real-life situation.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedFive friends buy a €15.75 pizza-and-chips deal and agree to split the cost exactly. Hands up: how much should each friend pay, and will it come out evenly?

    2 - Watch and Notice ~11 mins

    The interactive shares each amount into equal groups, one example at a time. Watch how each amount splits into equal groups, and see what happens when the last one doesn't share out evenly.

    3 - Try It Together ~9 mins

    We work through three shares together on the interactive. Before each reveal, say the answer to yourself, then watch the answer appear and notice that the decimal point stays in the same place-value position as in the amount we started with.

    4 - Line up the Point in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, set out each of these decimal divisions with the decimal point in the answer lined up directly above the point in the amount you are sharing:

    • €15.75 ÷ 5
    • €9.60 ÷ 8
    • 4.5 m ÷ 6
    • €18.60 ÷ 6

    Beside each answer, write the unit (€ or m) and one short note on how you handled any leftover.

    5 - Class Challenge ~8 mins

    Now we work through these bill-and-bottle shares together, each one a step harder than the last: split a €23.40 bill among 4, share a €14.55 taxi among 5, pour a 2.5 l bottle into 4 equal glasses. Then comes a different kind of question. The last one is not a straight share — it asks how many you can buy and what change you get. You have a €50 note and each item costs €7.25. To answer it you count how many €7.25 items fit inside €50, then work out what is left over as change.

    Share real bills and bottles into equal parts, then work out how much you can buy and what change is left.

    1. A €23.40 restaurant bill is shared equally among 4 people. How much does each pay?
    2. A €14.55 taxi fare is split equally among 5 passengers. How much does each pay?
    3. A 2.5 litre bottle of orange squash is poured equally into 4 glasses. How much is in each glass?
    4. This one is different: it is not an equal share. You have a €50 note and want to buy notebooks costing €7.25 each. How many can you buy, and how much change do you get? (Count how many €7.25 items fit inside €50, then find the change.)
    Answers & strategies (teacher)
    1. A €23.40 restaurant bill is shared equally among 4 people. How much does each pay? — €5.85
    2. A €14.55 taxi fare is split equally among 5 passengers. How much does each pay? — €2.91
    3. A 2.5 litre bottle of orange squash is poured equally into 4 glasses. How much is in each glass? — 0.625 l
    4. This one is different: it is not an equal share. You have a €50 note and want to buy notebooks costing €7.25 each. How many can you buy, and how much change do you get? (Count how many €7.25 items fit inside €50, then find the change.) — 6 notebooks, €6.50 change (6 × €7.25 = €43.50; €50 − €43.50 = €6.50)
    Pupil practice
    Module 2 · Operations and Computational Fluency Number
    Lesson 21 · Dividing Decimals in Context
    Download Activity Book page (PDF)
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