Mathematics · Year 2 · The Power of Place Value · Term 1

Money: Counting and Making Change

Students practice counting Australian coins and notes and making simple change.

• ACARA Content Descriptions
• AC9M2N06

About This Topic

In Year 2 mathematics, students count collections of Australian coins and notes, including 5¢, 10¢, 20¢, 50¢, $1, $2, $5, $10, and $20, and calculate simple change for purchases up to $20. They group coins by denomination, apply place value to dollars and cents, and use strategies like counting from largest to smallest value. This meets AC9M2N06 and builds on the unit's place value work, showing money as a practical base-10 system.

Students justify efficient counting methods and design real-life purchase scenarios, such as buying fruit at a market. These tasks develop reasoning, where they explain why one strategy beats another, and connect math to everyday decisions like budgeting pocket money.

Active learning excels with this topic through physical money handling and role-play. When students set up shops to buy and sell classroom items, they repeatedly practice counting and change in context, spot strategy flaws immediately, and discuss improvements with peers. This makes skills stick better than worksheets alone.

Key Questions

1. How can we efficiently count a collection of different coins and notes?
2. Justify the most effective strategy for making change from a given amount.
3. Design a scenario where understanding money is crucial for a purchase.

Learning Objectives

• Calculate the total value of a collection of Australian coins and notes up to $20.
• Determine the correct change from a purchase when paying with Australian currency up to $20.
• Compare different strategies for counting money and explain the most efficient method.
• Design a simple shopping scenario involving Australian currency and calculate the total cost and change.
• Identify the value of individual Australian coins and notes.

Before You Start

Counting by Skip Counting (2s, 5s, 10s)

Why: Students need to be proficient in skip counting to efficiently count collections of coins with the same denomination.

Number and Place Value to 100

Why: Understanding place value is fundamental for combining dollars and cents and for calculating totals and change accurately.

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.

Watch Out for These Misconceptions

Common Misconception

All coins have the same value or shapes determine worth.

What to Teach Instead

Physical sorting and matching activities reveal distinct values and sizes. When students handle replicas and group by denomination, they correct ideas through direct comparison and peer checks during relays.

Common Misconception

Change calculation ignores efficient coin combinations.

What to Teach Instead

Role-play shops show fewer coins simplify giving change. Group discussions after challenges help students see and debate compact sets, building preference for largest-first strategies.

Common Misconception

Counting money skips place value between cents and dollars.

What to Teach Instead

Modelling with coin sets and drawings links money to unit tens and ones. Collaborative puzzles reinforce this as partners explain jumps from 99¢ to $1, clarifying the exchange.

Active Learning Ideas

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.

45 min·Pairs

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.

30 min·Small Groups

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.

35 min·Pairs

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.

40 min·Small Groups

Real-World Connections

• Cashiers at a supermarket, like Woolworths or Coles, regularly count customer payments and provide correct change for purchases. They use strategies to quickly sum amounts and return the right coins and notes.
• Children managing pocket money use this skill to buy items at a toy store or a local bakery. They must count their money to see if they have enough and calculate how much they will have left after buying a treat.
• Small business owners, such as a market stall holder selling fruit, need to accurately count money received and give correct change to customers to ensure fair transactions and manage their earnings.

Assessment Ideas

Quick Check

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.

Exit Ticket

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.

Discussion Prompt

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.

Frequently Asked Questions

How do you teach Year 2 students to count Australian coins efficiently?

Start with real or replica coins sorted by denomination. Practice grouping from largest value down, like $2 then $1. Use daily routines like recess snacks for quick counts. Justify strategies in pairs to build reasoning, aligning with AC9M2N06 expectations.

What activities help Year 2 make change with money?

Set up shop role-plays with priced items and play money. Students pay exact or over amounts, calculate change using coins. Follow with card puzzles for varied scenarios. Debriefs focus on fewest coins needed, making practice contextual and repeated.

How does active learning benefit money concepts in Year 2?

Active approaches like handling coins and market role-plays let students kinesthetically test strategies, correct errors on the spot, and debate with peers. This beats passive drills by linking abstract place value to tangible purchases, boosting retention and confidence in real scenarios.

Common misconceptions in Year 2 money counting and change?

Students often confuse coin values by looks or skip efficient orders. Address with sorting relays and shop games where they group and recount. Peer explanations during challenges correct these, as seeing others' methods highlights better ways tied to place value.