A shopping bill answers “What do these items cost altogether?” Change answers a different question: “How much of the amount paid should come back?” Keep those questions separate. First total the items, then compare that cost with the payment, and finally check that cost + change = amount paid.
This is a pretend classroom shop. Every price and purchase below is fictional, written in whole Kenyan shillings using KSh. The paper value cards are teaching tokens, not real notes or coins and not a guide to actual currency denominations. Nobody needs to bring money, visit a shop or buy anything.
Read a price label before adding
The words tell you which item is being sold. The number tells you the price of one item. The unit tells you what the number measures. Here “pencil: KSh 15” means one pencil costs fifteen Kenyan shillings in this invented shop. It does not mean fifteen pencils.
| Item | Price of one item |
|---|---|
| Exercise book | KSh 35 |
| Pencil | KSh 15 |
| Eraser | KSh 20 |
Before calculating, say how many of each item the shopper chooses. You may tick the relevant rows, draw the items or make a short list. An adult can read the labels aloud while the learner points. Keep unchosen items out of the bill; a price list shows what is available, not what every shopper must buy.
Worked case 1: one of every item
The shopper chooses one exercise book, one pencil and one eraser. Add their prices: 35 + 15 + 20. Pairing the first two prices makes a helpful round number: 35 + 15 = 50. Then 50 + 20 = KSh 70.
| Chosen item | Quantity | Line cost |
|---|---|---|
| Exercise book | 1 | KSh 35 |
| Pencil | 1 | KSh 15 |
| Eraser | 1 | KSh 20 |
| Total | 3 items | KSh 70 |
The shopper pays a pretend KSh 100. Subtract the cost from the payment: 100 − 70 = KSh 30 change. The shop keeps KSh 70 and returns KSh 30. These two parts account for all KSh 100: 70 + 30 = 100.
You can check without doing the same subtraction again. Start at 70 and count on in tens: 80, 90, 100. There are three jumps of 10, giving 30. Count the jumps, not just the final number. Saying “100” names the amount paid; saying “30” names the increase needed to reach it.
Show the same value with different teaching tokens
Copy large rectangles on paper and write their pretend values. A card labelled KSh 50 means a teaching value of fifty shillings. All cards have the same plain shape so the written value, rather than the card’s size or appearance, does the mathematical work. Keep each complete label visible.
- Payment A: KSh 50 + KSh 50 = KSh 100, using two cards.
- Payment B: KSh 50 + KSh 20 + KSh 20 + KSh 10 = KSh 100, using four cards.
- Change A: KSh 20 + KSh 10 = KSh 30, using two cards.
- Change B: KSh 10 + KSh 10 + KSh 10 = KSh 30, using three cards.
More cards do not necessarily mean more value. Payment B uses twice as many cards as Payment A, but both totals are KSh 100. Likewise, both change groups total KSh 30. Ask the learner to prove equality by adding the labels rather than by counting rectangles alone.
If handling cards is difficult, write each sum on a line or point to the diagram. An adult can prepare large cards if needed. Real coins, small loose counters and cutting are unnecessary for this activity.
Worked case 2: remember the repeated item
A second shopper chooses two pencils and one eraser, paying a pretend KSh 100. Each pencil costs KSh 15. Two pencils therefore cost 15 + 15 = 30. Add the eraser: 30 + 20 = KSh 50. The change is 100 − 50 = KSh 50.
The full check is 50 + 50 = 100. One KSh 50 teaching card could represent the change; KSh 20 + KSh 20 + KSh 10 could represent it too. Both arrangements work because the total value is the same.
A common error is adding 15 + 20 = 35 because only the item names “pencil” and “eraser” were noticed. That leaves out one pencil. Repair the bill by writing a separate price for every item or by using a quantity column. Here “two pencils” means two copies of the pencil price, not 15 + 2.
Worked case 3: there is not enough money
A third shopper wants one exercise book and one eraser. The cost is 35 + 20 = KSh 55. The shopper has only a pretend KSh 50. Compare before giving change: 50 is less than 55. The amount is short by 55 − 50 = KSh 5.
There is no completed purchase and no change in this case. We do not call the missing KSh 5 “change”. It is the extra amount needed to reach the cost. Check: 50 + 5 = 55. In the pretend game, the shopper can choose a different combination or leave the purchase unfinished.
For example, one exercise book and one pencil cost 35 + 15 = KSh 50. That different basket could be paid for exactly with the available amount. Changing the basket changes the question, so state clearly which items are now chosen.
Worked case 4: investigate an incorrect change claim
A shopper buys one pencil and one eraser, giving a pretend KSh 50. Someone claims the change is KSh 25. First find the bill: 15 + 20 = KSh 35. Now test the claim: 35 + 25 = 60. That is KSh 10 more than the amount paid, so the claimed change cannot be correct.
The correct change is 50 − 35 = KSh 15. Count on to check it: 35 to 40 adds 5, and 40 to 50 adds 10. The jumps total 5 + 10 = 15. Then 35 + 15 = 50, matching the payment exactly.
The check identifies a mistake in the arithmetic without guessing why anyone made it. Use a helpful sentence such as “Let’s add the cost and change and compare them with the payment.” It keeps the discussion focused on the numbers.
Use a four-step shop routine
- List: name the chosen items and their quantities.
- Total: add every chosen item’s price once for each item bought.
- Compare: decide whether the pretend payment is enough. If it is, subtract the total to find change; if it is not, find the shortfall.
- Check: for a completed purchase, add cost and change. The result must equal the payment.
When two learners play, one can read the order and the other can write the bill. Swap roles for the next order. The important part is explaining how the numbers match the items. You can practise alone by covering the solution and checking each line afterwards.
Three practice purchases with solutions
Practice 1: two books
Using the fictional price list, buy two exercise books and pay a pretend KSh 100. Find the total and change.
Solution: 35 + 35 = KSh 70. The change is 100 − 70 = KSh 30. Check: 70 + 30 = 100. A KSh 20 card and a KSh 10 card show the change. The two books happen to cost the same as the three different items in the first case.
Practice 2: exact payment
Choose two erasers and one pencil. Is a pretend KSh 55 enough? What change is due?
Solution: the erasers cost 20 + 20 = 40. Add the pencil: 40 + 15 = KSh 55. The payment equals the cost, so the change is KSh 0. Check: 55 + 0 = 55. Zero change means exact payment, not that the items were free.
Practice 3: can the order be completed?
Choose one exercise book and two pencils with a pretend KSh 60 available. Explain the result.
Solution: 35 + 15 + 15 = KSh 65. Since 60 is less than 65, the amount is insufficient. The shortfall is 65 − 60 = KSh 5. Check: 60 + 5 = 65. No change is due because the stated payment cannot complete this purchase.
Frequently asked questions
What does KSh mean here?
It identifies amounts in Kenyan shillings. All the lesson’s amounts are whole shillings, and every shop price is fictional.
Do the teaching cards show real notes or coins?
No. They are plain value tokens for addition and subtraction. Their labels and combinations make no claim about real Kenyan currency denominations.
Should I add every price in the list?
Only when one of every listed item is chosen. Otherwise add the prices of the selected items, including repeated items as many times as they are bought.
Why do I subtract the cost from the payment?
The payment contains both the amount the shop keeps for the items and the amount returned. Removing the cost leaves the change.
What if the payment is exactly the total?
The change is KSh 0. The check still works: cost plus zero equals the amount paid.
Can an insufficient amount give negative change?
For this beginner shop game, describe the shortfall instead. The purchase cannot be completed with the stated amount, and no change is returned.
Why check with addition after subtracting?
Addition rebuilds the payment from its two parts. If cost plus change does not equal the payment, recheck the quantities, total and subtraction.
One last explanation: choose a basket and tell a partner its total before naming the change. Then point to the two parts that add back to the pretend payment. That explanation is more useful than an unsupported answer.
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