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

Class Shop Modeling: Designed by Pupils

Design and run a class shop within a €50 budget, price six items, predict customer takings, and calculate profit by subtracting stock cost from revenue.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Imagine our class is opening a shop for one day. You have €50 to start with, six things to sell, and a whole class of hungry customers waiting at the door. Here is the big question: what would you put on the shelves, and what would you charge for each thing?

    Key point

    Remember, the €50 is what we PAY to buy the stock. The price we CHARGE the customer for each thing is a different price, and it is usually a bit higher. Have a think before any hands go up: would you stock lots of cheap things, or a few expensive ones?

    2 - Watch and Notice ~9 mins

    Watch as we build one class shop together on screen. Each thing we want to sell goes in as its own line. The bar at the top shows how much of our €50 starting float we have spent on stock. Remember, this is what the stock COST us to buy, not what we will charge customers.

    Now we work out two more numbers beside the bar. First, the takings — that is all the money customers will hand over during the day. If 28 pupils each spend about €1.20, the takings come to about 28 × €1.20€33.60.

    Key point

    Then the profit — that is what is left over once we take the cost of the stock away from the takings. So takings €33.60 minus stock that cost about €18 leaves a profit of about €15.60. Profit, not takings, is the number that tells us whether the shop did well.

    3 - Try It Together ~12 mins

    Now we design one class shop together. You call out the six things you want to sell, and we put each one in as its own line. Watch the bar fill up: it shows how much of our €50 starting float we have spent buying the stock. If one line tips us over €50, we rebalance.

    Key point

    Once the stock is in, we work out two things together on the board beside the bar: how much we think the class will spend (the takings), and how much profit that leaves once the stock is paid for.

    Design our shop within €50

    4 - Sketch Your Price List in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, sketch your shop's price list with the six items priced. Underneath the list, write three separate lines:

    • Starting float
    • Predicted takings
    • Predicted profit

    Keep each one on its own line so you can read your plan at a glance.

    5 - Class Challenge ~14 mins

    Today we work through several class shops, one at a time. For each one, spread the starting float across the items so the stock you buy stays under the ceiling shown, leaving room for a profit. Then work out the takings and the profit on the board.

    Worked example

    The last shop adds a stretch twist: put a 10% promotion on a slow-selling item. To find 10% off, first find one-tenth of the price, then take that away. For example, 10% of €2 is 20c, so €2 minus 20c makes it €1.80. Decide whether dropping the price makes more total profit because you sell more of it.

    Balance three class shops

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    What is the difference between takings and profit? If two shops both took in €33.60, could one have done well and the other badly? Which number tells you the shop was a success?

    7 - What's Next ~2 mins

    What we did today

    • Priced six items so the stock fit inside a starting float.
    • Predicted the takings from a whole class of customers.
    • Worked out profit as takings minus the cost of the stock.
    • Tested whether a promotion can make more total profit.

    Coming up

    Coming up

    Next we plan a real class trip, weighing up time, money and distance to choose between two days out that both have to fit a budget.

    Pupil practice
    Module 9 · Mathematical Modeling and End-of-year Review Mixed
    Lesson 115 · Class Shop Modeling: Designed by Pupils
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