Making ChangeActivities & Teaching Strategies
Active learning works for making change because students transfer abstract calculations into hands-on, realistic experiences. When they handle coins and bills in role-play or games, they see why counting up reduces errors and speeds up decision-making.
Learning Objectives
- 1Calculate the correct change from a purchase using Canadian currency up to $20.
- 2Compare the efficiency of counting up versus direct subtraction for making change.
- 3Explain at least two different strategies for calculating change.
- 4Design a realistic shopping scenario and accurately determine the change required.
- 5Analyze the steps involved in a given change-making problem and justify the chosen strategy.
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Role-Play: Classroom Market Stall
Label tables as market stalls with priced items using play money. Students pair up: one as vendor, one as buyer paying with a bill. Vendor counts up change aloud and hands it over; partners switch roles and record on charts. Debrief strategy use as a class.
Prepare & details
Explain different strategies for making change.
Facilitation Tip: During the Classroom Market Stall role-play, circulate with a small basket of coins to model efficient counting up strategies for students who are stuck.
Setup: Flexible space for group stations
Materials: Role cards with goals/resources, Game currency or tokens, Round tracker
Small Groups: Change Challenge Circuits
Set up four stations with purchase cards and payments. Groups rotate every 10 minutes, solving by counting up on whiteboards, then verifying with subtraction. Include one station for creating custom problems. Share solutions in plenary.
Prepare & details
Analyze why counting up is an effective strategy for making change.
Facilitation Tip: In Change Challenge Circuits, place a timer at each station to encourage speed and accuracy, but remind groups to discuss their reasoning before moving on.
Setup: Flexible space for group stations
Materials: Role cards with goals/resources, Game currency or tokens, Round tracker
Whole Class: Money Line-Up Game
Call out purchase and payment amounts. Students line up coins/bills physically to demonstrate counting up from cost to payment. Discuss efficient groupings, then have volunteers model for the class.
Prepare & details
Design a scenario where making change is necessary and solve it.
Facilitation Tip: For the Money Line-Up Game, use a whiteboard to record each group’s change calculations so students can compare their strategies after each round.
Setup: Flexible space for group stations
Materials: Role cards with goals/resources, Game currency or tokens, Round tracker
Individual: Scenario Design Centers
Provide templates for students to draw items, assign prices, and choose payments. Solve using preferred strategy, then trade with a partner for verification and strategy comparison.
Prepare & details
Explain different strategies for making change.
Facilitation Tip: At Scenario Design Centers, provide real receipts or price tags so students create problems that reflect actual shopping experiences.
Setup: Flexible space for group stations
Materials: Role cards with goals/resources, Game currency or tokens, Round tracker
Teaching This Topic
Teach making change by starting with physical coins and bills, not just numbers on paper. Use counting up as the primary strategy because research shows it reduces errors when students group coins to the next dollar first. Avoid rushing students to subtraction; instead, let them explore why counting up feels more natural for many scenarios. Encourage peer teaching as students explain their steps aloud, which reinforces their own understanding.
What to Expect
By the end of these activities, students will confidently determine change using counting up, explain their strategies, and adapt to different payment types. They will also justify why counting up can be more efficient than subtraction in some cases.
These activities are a starting point. A full mission is the experience.
- Complete facilitation script with teacher dialogue
- Printable student materials, ready for class
- Differentiation strategies for every learner
Watch Out for These Misconceptions
Common MisconceptionDuring the Classroom Market Stall role-play, watch for students who immediately subtract payment minus cost without counting coins. Redirect them by asking, 'Show me how you would give back each coin step-by-step to the customer.'
What to Teach Instead
During Change Challenge Circuits, if students ignore efficient coin combinations, prompt them to compare their change with a partner and ask, 'Could you use fewer coins? What would that look like?'
Common MisconceptionDuring Change Challenge Circuits, watch for students who insist on using only quarters for every amount. Redirect them by asking, 'What larger coin could you use to cover most of the amount first?'
What to Teach Instead
During the Money Line-Up Game, if students struggle with mixed payments, provide a sample calculation on the board showing how counting up works from any starting point, even partial bills.
Assessment Ideas
After the Classroom Market Stall role-play, collect students’ written steps for making change on a sample receipt. Look for clear counting up sequences and correct coin totals.
During the Money Line-Up Game, listen for students to explain why counting up from $1.35 to $5.00 avoids subtraction errors. Call on two students to share their reasoning with the class.
After Scenario Design Centers, collect each student’s self-created scenario and their change calculation with coin breakdown. Verify that they used counting up and justified their coin choices.
Extensions & Scaffolding
- Challenge early finishers to create a multi-step purchase scenario where they must calculate change for two items and explain their coin choices.
- Scaffolding for struggling students: Provide a visual chart with coin values and a step-by-step counting up template to guide their calculations during Scenario Design Centers.
- Deeper exploration: Ask students to research and compare how other countries make change efficiently, then present their findings to the class.
Key Vocabulary
| Purchase Price | The amount of money a customer pays for an item or service. |
| Amount Paid | The total money a customer gives to the cashier for their purchase. |
| Change | The money returned to a customer when the amount paid is more than the purchase price. |
| Counting Up | A strategy for making change where you start from the purchase price and count up to the amount paid, using the fewest coins and bills possible. |
| Direct Subtraction | A strategy for making change where you subtract the purchase price from the amount paid to find the difference. |
Suggested Methodologies
Planning templates for Mathematics
5E Model
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