Mathematics · Year 3 · Parts of a Whole: Fractions · Term 3

Money: Australian Currency

Recognizing and ordering Australian coins and notes, and calculating change for simple transactions.

• ACARA Content Descriptions
• AC9M3N06

About This Topic

Australian currency introduces Year 3 students to coins such as 5¢, 10¢, 20¢, 50¢, $1, and $2, along with notes like $5, $10, and $20. Students recognize these, order them by value from smallest to largest, and calculate change for purchases under $5, for example, buying a 65¢ apple with $1. This work strengthens addition and subtraction skills with numbers to 100 and supports conversions between cents and dollars.

Aligned with AC9M3N06, the topic encourages analysis of coin combinations that equal the same total, like 50¢ as five 10¢ coins or one 50¢ coin. In the fractions unit, students see money as partitioning wholes, such as different combinations representing equivalent parts of $1. Key questions guide them to design change strategies and justify currency's role in shopping and budgeting.

Active learning benefits this topic greatly. When students use replica money in partner trades or group market stalls, they practice real transactions, discuss efficient combinations, and correct errors through peer feedback. These hands-on methods turn routine calculations into engaging, relevant experiences that build confidence and fluency.

Key Questions

1. Analyze how different combinations of coins can make the same total amount.
2. Design a strategy for calculating change efficiently when making a purchase.
3. Justify the importance of understanding currency in everyday life.

Learning Objectives

• Identify and classify Australian coins and notes by their value.
• Calculate the total value of different combinations of Australian coins and notes.
• Determine the correct change from a purchase using subtraction strategies with Australian currency.
• Compare different combinations of coins and notes that represent the same monetary value.
• Design a strategy for efficiently calculating change for simple transactions.

Before You Start

Number and Place Value to 1000

Why: Students need a solid understanding of whole numbers and their values to work with the values of coins and notes.

Addition and Subtraction Strategies

Why: Calculating totals and change relies heavily on students' ability to add and subtract numbers accurately.

Key Vocabulary

Australian Currency	The official money used in Australia, consisting of coins and banknotes with specific values.
Coin	A piece of metal money, with a fixed value, such as 5¢, 10¢, 20¢, 50¢, $1, and $2.
Note	A piece of paper money, with a fixed value, such as $5, $10, and $20.
Value	The worth of a coin or note, indicating how much it can be exchanged for.
Change	The money returned to a customer after they pay more than the price of an item.

Watch Out for These Misconceptions

Common Misconception

The physical size of a coin matches its value.

What to Teach Instead

Students often assume a larger coin like the 50¢ is worth more than the smaller $1 coin. Hands-on sorting activities with replicas help them measure and compare values directly. Peer teaching during relays reinforces that value, not size, determines order.

Common Misconception

There is only one way to make a total amount with coins.

What to Teach Instead

Children overlook multiple combinations, such as 40¢ as four 10¢ or two 20¢. Matching games reveal equivalents through visual matching and group discussion. This builds flexibility in problem-solving.

Common Misconception

Calculating change means subtracting without considering coin availability.

What to Teach Instead

Students subtract totals but ignore practical coins for change. Role-play shops require using actual replicas, prompting strategies like counting up from price. Group debriefs highlight efficient methods.

Active Learning Ideas

Role-Play: Market Stall

Assign roles: shopkeepers price 5-10 items under $2 using sticky notes. Customers select items, pay with 2-3 coins or a note, and receive change. Rotate roles after 10 minutes; end with groups sharing best change strategies.

45 min·Small Groups

Coin Combo Cards: Matching Game

Prepare cards showing totals like 75¢ with images of coin sets. Pairs match equivalent combinations, such as three 20¢ + one 10¢ + one 5¢ to 75¢. Discuss and record multiple solutions per total.

30 min·Pairs

Change Calculation Relay: Line Up

Divide class into teams. Call a price and payment, like $1.50 for 85¢. First student calculates change verbally, next draws coins for it, third orders them. Teams compete for accuracy.

25 min·Whole Class

Ordering Sort: Individual Challenge

Provide mixed coin and note images. Students order by value on worksheets, then trade with partners to check and justify. Extend by grouping into sets making $1.

20 min·Individual

Real-World Connections

• Cashiers at supermarkets like Coles or Woolworths use Australian currency daily to process customer purchases and provide correct change, requiring quick calculation skills.
• Children at a school fete or market stall use replica Australian coins and notes to buy and sell items, practicing real-life transaction skills and managing a budget.
• Parents helping children understand the value of money for pocket money or saving for a toy, using Australian coins and notes to explain budgeting and spending choices.

Assessment Ideas

Quick Check

Present students with a selection of Australian coins and notes. Ask them to sort them from least to greatest value. Then, ask them to select coins to make a specific amount, such as 75¢.

Exit Ticket

Give each student a scenario: 'You bought a pencil for 85¢ and paid with a $2 coin. How much change will you receive?' Students write their answer and show the calculation used.

Discussion Prompt

Pose the question: 'Imagine you need to pay exactly $1. How many different ways can you make $1 using Australian coins and notes?' Facilitate a class discussion where students share their combinations and explain their thinking.

Frequently Asked Questions

How do you teach recognition of Australian coins and notes in Year 3?

Start with life-size images or replicas sorted into trays by type. Use sorting races where pairs order by value, then label with amounts. Follow with daily flashcard reviews and wallet inspections of family money brought in, connecting to real use. This builds quick recall through repetition and relevance.

What are effective strategies for calculating change?

Teach counting up from the price to the payment amount, like from 65¢ to $1 as 10¢ + 20¢ + 5¢. Practice with number lines or empty coin charts. Role-plays ensure students select appropriate coins, while apps simulate transactions for extra fluency.

How can active learning help students master Australian currency?

Active methods like market stalls and relay races engage students physically with replica money, making values concrete. Partners negotiate change, correcting misconceptions in real time, while whole-class games build speed and collaboration. These approaches link math to shopping, increasing motivation and long-term retention over worksheets alone.

Why connect money to fractions in Year 3?

Money combinations model equivalent fractions, like 50¢ as 1/2 of $1 or five 10¢ as parts of the whole. Activities partitioning $1 into coin sets visualize this. It deepens understanding of equivalence and prepares for ratio work, showing math's interconnectedness.