Money: Counting and Making ChangeActivities & Teaching Strategies
Active learning works for money because students need repeated, hands-on practice to connect abstract values with concrete coins and notes. When children physically group, count, and exchange money, they build confidence and accuracy faster than with worksheets alone.
Learning Objectives
- 1Calculate the total value of a collection of Australian coins and notes up to $20.
- 2Determine the correct change from a purchase when paying with Australian currency up to $20.
- 3Compare different strategies for counting money and explain the most efficient method.
- 4Design a simple shopping scenario involving Australian currency and calculate the total cost and change.
- 5Identify the value of individual Australian coins and notes.
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Shop Role-Play: Classroom Market
Divide class into shopkeeper and customer pairs that switch roles. Provide replica money and priced items like toys or drawings. Shopkeepers count payments, calculate change, and record transactions on simple sheets. Debrief as a class on strategies used.
Prepare & details
How can we efficiently count a collection of different coins and notes?
Facilitation Tip: During Coin Sorting Relay, label each station with a different denomination and time groups strictly to build urgency and focus.
Setup: Open space or rearranged desks for scenario staging
Materials: Character cards with backstory and goals, Scenario briefing sheet
Coin Sorting Relay: Efficient Groups
Scatter mixed coins on tables. Teams sort into denomination piles, count each group starting with largest coins, then total the collection. Fastest accurate team wins. Rotate roles and discuss why order matters.
Prepare & details
Justify the most effective strategy for making change from a given amount.
Facilitation Tip: In Shop Role-Play, rotate roles every two minutes so every student practices both giving and receiving change.
Setup: Open space or rearranged desks for scenario staging
Materials: Character cards with backstory and goals, Scenario briefing sheet
Change Challenge: Puzzle Cards
Prepare cards showing purchase amounts and payments, like $3.50 from $5. Students use coins to model change, draw or write the solution, then justify to a partner. Collect and share best justifications.
Prepare & details
Design a scenario where understanding money is crucial for a purchase.
Facilitation Tip: With Change Challenge cards, demonstrate how to use an answer grid for self-checking before students begin independent work.
Setup: Open space or rearranged desks for scenario staging
Materials: Character cards with backstory and goals, Scenario briefing sheet
Money Design: Scenario Boards
In small groups, students create posters of shopping scenarios with prices and payments. They solve for change, label coins used, and present why their counting strategy works best. Vote on most creative boards.
Prepare & details
How can we efficiently count a collection of different coins and notes?
Setup: Open space or rearranged desks for scenario staging
Materials: Character cards with backstory and goals, Scenario briefing sheet
Teaching This Topic
Teach money as a base-10 system by always pairing coins with their place value representation. Avoid teaching coin names without values, and never let students skip the step of counting from largest to smallest. Research shows that physical handling and peer explanation cement understanding better than symbolic practice alone.
What to Expect
Students will confidently count mixed Australian coins and notes up to $20 and calculate change efficiently using largest-to-smallest strategies. They will explain their reasoning and justify coin choices during discussions and written tasks.
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 Coin Sorting Relay, watch for students who group coins by size or colour rather than denomination.
What to Teach Instead
Circulate with a quick verbal prompt: 'Check the numbers on the coins. How do you know 50¢ isn't 20¢?' Have peers verify each group before moving to the next station.
Common MisconceptionDuring Change Challenge, watch for students who give change using random coins instead of the fewest possible.
What to Teach Instead
After students solve a card, ask them to present their coins to the group and explain why their set is efficient. Encourage classmates to suggest alternatives using fewer coins.
Common MisconceptionDuring Shop Role-Play, watch for students who ignore place value when counting totals or making change.
What to Teach Instead
Pause the role-play and model counting aloud while pointing to each coin and writing the total on the board. Ask students to verbalize the jump from 99¢ to $1 using tens and ones language.
Assessment Ideas
After Coin Sorting Relay, provide each student with a mixed set of coins and ask them to count the total and explain their steps to a partner.
After Shop Role-Play, give each student a card with a purchase price and amount paid. Students calculate the change and draw the coins they would hand back, including the total number of coins.
During Change Challenge, present two different change methods for the same purchase. Ask students to discuss which method is faster and why, encouraging them to justify their reasoning with coin values.
Extensions & Scaffolding
- Challenge students who finish early to calculate change for amounts over $20 using $5 and $10 notes.
- For students who struggle, provide coin stamps and place value mats so they can draw and group before handling real coins.
- Deeper exploration: Invite students to design a board game where players earn and exchange money, requiring them to calculate change at each step.
Key Vocabulary
| Coin | A small, flat, round piece of metal used as money. Australian coins include 5¢, 10¢, 20¢, 50¢, $1, and $2 denominations. |
| Note | A piece of paper money. Australian notes include $5, $10, and $20 denominations (and higher, though Year 2 focuses on lower values). |
| Denomination | The value of a coin or note. For example, a 50¢ coin and a $10 note have different denominations. |
| Change | The money returned to a buyer after paying for an item with more money than the item costs. |
| Purchase | The act of buying something. |
Suggested Methodologies
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
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