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

Design and Cost Project: an End-of-primary Celebration on a Budget

Plan an end-of-primary celebration within a €224 budget by combining money, percentages and division. Work out bulk discounts, calculate per-pupil costs, and keep the spending under control.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Here is our brief for today: every pupil puts in €8, and there are 28 of us. We are planning a class celebration to mark the end of primary school. Before we can spend a single euro, what is the very first thing we need to decide?

    2 - Watch and Notice ~11 mins

    Illustration for Watch and NoticeWatch as we set up the celebration budget on screen. We will build it in three steps.

    Step one — the cap. First we work out how much we have to spend: 28 pupils × €8 each = €224. That is the most we can spend, our ceiling.

    Step two — a bulk discount. The food order is €60, but buying a large amount earns 10% off. 10% of €60 is €6, so the food drops to €54, and that €6 stays in our balance.

    Step three — a fair share. The activity costs €56 and 28 of us share it. €56 ÷ 28 = €2 each, so every pupil's fair share of the activity is €2. Notice how the running balance changes after each cost is added.

    3 - Try It Together ~12 mins

    Today we plan one celebration together on the board. We will call out categories, enter an amount for each, and keep one eye on the progress bar. Our job is to stay at or under the €224 cap while still feeding everyone and having something fun to do.

    Plan our celebration together

    4 - Write the Plan in Your Copy ~5 mins

    COPYBOOK MOMENT

    Now copy this worked plan into your maths copy to practise the layout. This is a fresh example to work from, not the plan we just built on the board. Write each category on its own line with its cost and its share-per-pupil beside it. Total the four costs at the bottom, then write how much of the €224 is left.

    The first share is done for you so you can see the method — divide each cost by 28 to find the share:

    • Food — €56€56 ÷ 28 = €2.00 each (done for you)
    • Drinks — €42€42 ÷ 28 = €1.50 each
    • Decorations — €28€28 ÷ 28 = €1.00 each
    • Activity — €42€42 ÷ 28 = €1.50 each

    5 - Class Challenge ~11 mins

    Key point

    Today you design your own celebration plan within the €224 cap. Spread the money across food, drinks, decorations and an activity so nothing is left out and the total stays under the cap.

    Worked example

    If you'd like a real challenge, swap one item for a cheaper option and work out how much you saved as a percentage. Here is how to find a saving as a percentage: you take the amount you saved, divide it by the original price, then multiply by 100. For example, if you swap a €40 item for a €30 one, you saved €10. So €10 ÷ €40 = 0.25, and 0.25 × 100 = 25% off.

    Design your celebration plan

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    All four costs came out of the same €224 fund, so trimming any one of them by a euro frees exactly that euro. When the budget got tight, which items felt like things we really needed, and which were nice-to-have extras we could cut without spoiling the day?

    7 - What's Next ~2 mins

    What we did today

    • Worked out a fixed budget cap from a per-pupil amount (28 × €8 = €224).
    • Kept a real plan at or under the cap.
    • Applied a 10% bulk discount, shared a cost fairly per pupil, and worked out a saving as a percentage.

    Coming up

    Coming up

    Next we step back through the whole year's maths journal, choose the pieces we are proudest of, and reflect on how our thinking has grown across primary school.

    Pupil practice
    Module 11 · End-of-primary Modelling and Review Mixed
    Lesson 117 · Design and Cost Project: an End-of-primary Celebration on a Budget
    Download Activity Book page (PDF)
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