Mathematics · Year 4

Active learning ideas

Counting Money and Making Amounts

Active, hands-on experiences let students feel the weight of coins and notes in their hands while they practice counting and grouping, which strengthens memory and builds automaticity. When students move between stations and work in pairs, they rehearse real-world decisions about which coins and notes to use, making abstract values concrete.

• ACARA Content Descriptions
• AC9M4N06

• 20–45 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Stations Rotation
• 45 min · Small Groups

Stations Rotation: Target Amount Stations

Prepare four stations with tubs of mixed Australian coins and notes, each targeting a different amount like $2.00 or $5.50. Groups use fewest pieces to make the amount, sketch their combination, record the total, and rotate every 10 minutes. Conclude with groups sharing most efficient solutions.

Construct multiple ways to make a given monetary amount.

Facilitation Tip

For Target Amount Stations, place a timer and a small whiteboard at each station so students can record both their combinations and the time taken to verify their fastest strategies.

What to look for

Provide students with a set of play Australian coins and notes. Ask them to show you two different ways to make $3.50. Observe if they use a variety of denominations and if their calculations are correct.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 02

• Stations Rotation
• 25 min · Pairs

Pairs Challenge: Combo Builder Race

Pairs receive a set of play money and take turns calling target amounts between $1 and $10. The partner builds it quickly with fewest coins/notes, then they switch and verify totals together. Time five rounds and discuss winning strategies.

Analyze the most efficient way to count a large sum of money.

Facilitation Tip

In Combo Builder Race, circulate to listen for pairs explaining their choices aloud, pausing to ask, 'Why did you start with the $2 coin?' to prompt deeper reasoning.

What to look for

Pose the question: 'Imagine you need to pay exactly $7.80. Which coins and notes would you use, and why is this the most efficient way?' Facilitate a class discussion where students share their strategies and justify their choices.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 03

• Stations Rotation
• 30 min · Whole Class

Whole Class: Big Pile Countdown

Display a large pile of mixed currency on a projector or board. Class calls out efficient counting steps together, starting with notes then largest coins. Students predict total, then confirm by grouping physically if possible.

Justify the importance of being able to count money accurately.

Facilitation Tip

During Big Pile Countdown, model how to sort the pile into denominations before counting, narrating your thought process for students to emulate.

What to look for

Give each student a card with a different target amount (e.g., $5.25, $12.10). Ask them to write down the coins and notes they would use to make this amount and count the total number of items used. They should also write one sentence explaining why they chose those specific items.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 04

• Stations Rotation
• 20 min · Individual

Individual: Money Puzzle Sheets

Provide sheets with coin/note images and targets like $3.75. Students draw or list two combinations each, circle the fewest pieces option, and explain why. Collect for quick feedback.

Construct multiple ways to make a given monetary amount.

Facilitation Tip

Hand out Money Puzzle Sheets only after students have had concrete practice, ensuring they connect symbols on the page to real coins they’ve handled.

What to look for

Provide students with a set of play Australian coins and notes. Ask them to show you two different ways to make $3.50. Observe if they use a variety of denominations and if their calculations are correct.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

A few notes on teaching this unit

Teach counting by anchoring it to real objects first, then move to representational tools like grids and sheets. Avoid rushing to abstract symbols before students can physically group and trade coins. Research shows that students who manipulate physical money before paper tasks perform better on transfer problems. Always highlight efficiency by comparing methods side by side, so students see the value of grouping largest denominations first.

Students will confidently count mixed collections of Australian currency, construct multiple combinations for target amounts, and justify their choices using efficient strategies. They will explain why grouping by largest denominations saves time and demonstrate flexibility in their problem-solving approaches.

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Watch Out for These Misconceptions

• During Target Amount Stations, watch for students starting with the smallest coins by default.

  Redirect them by asking, 'If you start with the $2 coin, how many coins do you need to reach $4.25?' Then time both methods and ask which felt faster, guiding them to compare totals on the station’s whiteboard.

• During Combo Builder Race, watch for pairs assuming all combinations are equally good.

  Ask each pair to count the total number of items in their two best solutions, then have them share with another pair to see whose combination uses fewer pieces, sparking a discussion about practicality.

• During Money Puzzle Sheets, watch for students treating $5 and $10 notes as equivalent to five or ten 50¢ coins.

  Provide a tray of manipulatives beside the sheet so students can physically trade a $5 note for five $1 coins, reinforcing the difference in quantity and handling.

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Methods used in this brief

• Stations Rotation