Mathematics · Year 2

Active learning ideas

Money: Counting and Making Change

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.

• ACARA Content Descriptions
• AC9M2N06

• 30–45 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Role Play
• 45 min · Pairs

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.

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.

What to look for

Provide students with a small collection of mixed Australian coins and notes (e.g., two $1 coins, three 20¢ coins, one $5 note). Ask them to write down the total amount and explain the steps they took to count it.

• Apply
• Analyze
• Evaluate
• Social Awareness
• Self-Awareness

Activity 02

• Role Play
• 30 min · Small Groups

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.

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.

What to look for

Give each student a card showing a purchase price (e.g., $3.50) and an amount paid (e.g., $5.00). Ask them to calculate the change they should receive and draw or write the coins and notes they would hand back.

• Apply
• Analyze
• Evaluate
• Social Awareness
• Self-Awareness

Activity 03

• Role Play
• 35 min · Pairs

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.

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.

What to look for

Present students with two different methods for making change from $10 for a $7.30 purchase. Ask: 'Which method is faster? Why? How do you know it is correct?' Encourage students to justify their reasoning.

• Apply
• Analyze
• Evaluate
• Social Awareness
• Self-Awareness

Activity 04

• Role Play
• 40 min · Small Groups

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.

How can we efficiently count a collection of different coins and notes?

What to look for

Provide students with a small collection of mixed Australian coins and notes (e.g., two $1 coins, three 20¢ coins, one $5 note). Ask them to write down the total amount and explain the steps they took to count it.

• Apply
• Analyze
• Evaluate
• Social Awareness
• Self-Awareness

A few notes on teaching this unit

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.

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.

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Watch Out for These Misconceptions

• During Coin Sorting Relay, watch for students who group coins by size or colour rather than denomination.

  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.

• During Change Challenge, watch for students who give change using random coins instead of the fewest possible.

  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.

• During Shop Role-Play, watch for students who ignore place value when counting totals or making change.

  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.

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Methods used in this brief

• Role Play