Here is our end-of-module challenge. We are planning a day-trip to Glendalough for the whole class. We have €800 to spend, there are 28 of us, and the day runs from 9 am to 4 pm.
Before we work anything out: what would we need to figure out to know if this trip actually fits?
Take three hands-up answers, not open call-outs. Steer toward the two things the lesson tests: does it fit the €800? and does it fit the 9-to-4 day?
This is the module assessment — flag that pupils will plan their own trip later, so today's shared plan is the worked model they copy the method from.
We are planning a trip to Glendalough — first the timing, then the money. The interactive builds up the budget one cost at a time against an €800 cap: bus, then tour, then lunch. Watch how tall the bar gets each time, and how much of the cap is still free at the end.
Time line first, before the money: bus leaves 9, 1 hour each way, so 2 hours travelling, on-site 10 to 3 — that's 5 hours there. This is the model for the schedule half of their own plan, so make it explicit.
Work the per-pupil arithmetic live as each picture appears, don't just read totals.
Picture 1 — bus only €280, bar low, plenty of cap free.
Picture 2 — add guided tour €196 (€196 ÷ 28 = €7 each). Bar taller, clear gap remains.
Picture 3 — add lunch €5 × 28 = €140. Total settles at €616, €184 still free, bar amber not full.
Pause on that €184 gap — ask what could that €184 do? before moving on.
We have €184 left after the bus, tour and lunch. Today we decide together how to spend the rest: some for extras (a snack stop or a souvenir), some kept back as a contingency, and maybe an optional guided walk. A contingency is money kept aside in case a cost goes up or something goes wrong.
We will add each one to the board in turn. First we add €60 for extras. Next we add €50 kept back as contingency. Then we add €40 for the optional walk. Before each new line, we stop and check the remaining amount. The bar climbs but stops well short of €800 — we keep some back on purpose.
Talk this one through together — pupils take turns at the board and the class agrees or corrects out loud.
Before each new line, ask the class to predict the new remaining amount, then let a pupil set the stepper and check. Keep the running total visible: after €60 extras we are at €676, after €50 contingency at €726, after €40 walk at €766 — so €34 stays free.
Watch for pupils who want to spend all €184 down to zero — draw out why a contingency line is sensible (a broken-down bus, a rise in the tour price). Circulate and prompt.
In your maths copy, write each cost on its own line — bus, tour, lunch — with the per-pupil amount beside it. Total the three at the bottom and check your total against the €800 budget cap.
Walk the room and glance for one line per cost with the per-pupil figure written beside it — no marking, this is whole-class copybook practice, not assessment. Nudge anyone who has only written the totals to add the per-pupil column.
Now the harder version: for each plan, spread the budget across every line so the total lands exactly on the cap, with no line left at zero. That forces a real trade-off — spend more on one thing and you must spend less on another.
We work through four plans in order: first the €800 Glendalough trip across bus, tour, lunch and extras; then the tighter €600 Newgrange trip; then a €500 Dublin Zoo trip; and finally the stretch — the same €800 Glendalough trip but for a class of 50, where the fixed bus cost is shared much wider.
Look hard at that last plan. The bus still costs €280 whether 28 or 50 pupils go. Share it out: €280 ÷ 28 = €10 each for a class of 28, but €280 ÷ 50 = €5.60 each for a class of 50. The same bus becomes cheaper per head the more pupils go.
This is the practice round — pupils take turns at the board, check each answer, and the class confirms before moving on. Keep the board work brisk rather than over-explaining.
The exact split does not matter — any non-zero split that hits the cap passes. What matters is the reasoning aloud: if we put more into extras, what has to give?
On the fourth challenge (class of 50, same €800), do the two divisions on the board where pupils can see them: €280 ÷ 28 = €10 each beside €280 ÷ 50 = €5.60 each. The interactive only tracks the total against the cap, so this comparison must be written up by hand — that falling per-head figure is what the wrap depends on.
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