Mathematics · Year 2 · Measuring the World · Summer Term

Money: Giving Change

Solving simple problems involving money, including giving change.

• National Curriculum Attainment Targets
• KS1: Mathematics - Measurement

About This Topic

Giving change requires pupils to calculate the difference between an item's price and the amount tendered, using coins up to £1: 1p, 2p, 5p, 10p, 20p, 50p, £1. Year 2 pupils solve problems such as buying a 28p toy with 50p and finding the 22p change. They explain the process, often by counting up from the price or subtracting, which strengthens mental arithmetic within 100.

This fits the KS1 Measurement objectives, linking closely to Number work on addition, subtraction, and place value. Pupils critique strategies for efficiency, like preferring two 10p coins over ten 2p for 20p change, and construct scenarios where accurate change matters, such as at a school fair. These activities build problem-solving and reasoning skills essential for later financial maths.

Active learning benefits this topic greatly. Shop role-play with toy money lets pupils practise repeatedly in realistic contexts, while peer teaching during change challenges corrects errors on the spot and builds confidence through immediate feedback.

Key Questions

1. Explain how to calculate the change needed when buying an item.
2. Critique different strategies for giving change efficiently.
3. Construct a scenario where giving the correct change is crucial.

Learning Objectives

• Calculate the correct change from a given amount when purchasing an item with a price up to £1.
• Explain two different strategies for calculating change, such as counting up or subtraction.
• Compare the efficiency of using different coin combinations to represent a specific amount of change.
• Construct a simple shopping scenario and accurately determine the change required for a given transaction.
• Critique a given method for giving change and suggest a more efficient alternative.

Before You Start

Addition and Subtraction within 100

Why: Students need a solid understanding of addition and subtraction facts and strategies to calculate the difference between the price and the amount tendered.

Recognising Coins and Notes

Why: Pupils must be able to identify and know the value of different UK coins (1p, 2p, 5p, 10p, 20p, 50p, £1) to work with money amounts.

Key Vocabulary

Price	The amount of money something costs. This is the amount a customer pays to buy an item.
Amount Tendered	The total money a customer gives to the cashier to pay for an item. This is usually more than or equal to the price.
Change	The money returned to the customer when the amount tendered is more than the price of the item. It is the difference between the amount tendered and the price.
Counting Up	A strategy for finding change by starting at the item's price and counting up to the amount tendered, using coins and notes.
Subtraction	A mathematical method where you take one number away from another. To find change, you subtract the item's price from the amount tendered.

Watch Out for These Misconceptions

Common Misconception

Change must always use the fewest coins possible.

What to Teach Instead

Pupils often think efficiency means minimal coins every time, but any correct combination works. Role-play activities let them try different coin sets and see equivalents, while group critiques build flexible thinking. Peer discussion reveals that context, like available coins, affects choices.

Common Misconception

Subtract price from tendered amount by counting down only.

What to Teach Instead

Many pupils stick to subtraction without trying counting up, missing a quicker strategy. Station rotations expose both methods hands-on; pupils time themselves giving change both ways, discovering counting up suits problems near multiples of 10. This active comparison shifts rigid habits.

Common Misconception

Change is extra money added to the price.

What to Teach Instead

Some confuse change with total cost. Shop simulations with real transactions clarify: pupils handle 'money' physically, verbalise steps, and verify with partners. Manipulatives make the difference tangible, reducing reversal errors through repeated practice.

Active Learning Ideas

Role Play: Class Shop

Set up a shop corner with priced items under 50p and toy coins. Pairs take turns as customer and shopkeeper: customer selects item and pays, shopkeeper counts change aloud using counting up method. Switch roles after three transactions and discuss efficient coin choices.

30 min·Pairs

Stations Rotation: Change Challenges

Create four stations with problem cards: Station 1 matches prices to change, Station 2 practises counting up, Station 3 sorts coins for efficiency, Station 4 builds own problems. Small groups rotate every 7 minutes, recording answers on mini-whiteboards.

40 min·Small Groups

Whole Class: Change Relay

Divide class into teams. Teacher calls a price and tendered amount; first pupil from each team runs to board, writes change and coins needed. Next teammate checks and adds efficient alternative. Continue for 10 rounds.

25 min·Whole Class

Individual: Change Puzzles

Pupils receive laminated sheets with 8 problems showing prices and payments. They draw coins for change twice: once any coins, once fewest coins. Share one puzzle with partner for peer check.

20 min·Individual

Real-World Connections

• Shopkeepers in a local grocery store or market stall use giving change daily. They must accurately calculate the difference between the cost of items like fruit or bread and the money a customer hands over, ensuring correct amounts are returned.
• Volunteers at a school fair or charity bake sale handle cash transactions. They need to quickly and accurately provide change for purchases of cakes, toys, or drinks, managing a till or cash box effectively.

Assessment Ideas

Quick Check

Present pupils with cards showing an item price (e.g., 35p) and an amount tendered (e.g., 50p). Ask them to write down the calculation they would use to find the change and the final answer. Observe their chosen method (counting up or subtraction).

Discussion Prompt

Pose this question: 'If an item costs 42p and you pay with 50p, is it quicker to count up from 42p to 50p, or to subtract 42p from 50p? Explain your thinking.' Encourage pupils to discuss why one method might be faster for them.

Exit Ticket

Give each student a slip of paper. Ask them to draw a simple shop scenario: an item with a price, the amount paid, and then write the calculation for the change and the correct change amount. They should also write one sentence about why giving the correct change is important.

Frequently Asked Questions

How do you teach Year 2 pupils to calculate change?

Start with concrete examples using toy coins: show 45p item paid with £1, count up 5p to 50p then 50p to £1 for 55p change. Progress to drawings, then mental strategies. Daily 10-minute shop role-play reinforces, with pupils explaining aloud to build fluency and confidence in real contexts.

What are efficient strategies for giving change in KS1?

Teach counting up from price to tendered amount, using nearest multiples of 10 or 5. For 37p change from £1, say 3p to 40p, 60p to £1. Encourage fewest coins where possible, but accept any correct set. Critique sessions help pupils compare and select best for speed.

How can active learning help students master giving change?

Active approaches like role-playing shops or relay games make subtraction contextual and fun, turning abstract numbers into tangible transactions. Pupils handle coins, negotiate with peers, and self-correct during rotations, which boosts retention by 30-50% over worksheets. Immediate feedback in pairs resolves misconceptions quickly and builds real-world confidence.

What coins should Year 2 know for money problems?

Focus on 1p, 2p, 5p, 10p, 20p, 50p, £1 coins. Pupils recognise values, combine for amounts to 100p, and give change. Skip £2 or notes until Year 3. Hands-on sorting and matching games ensure mastery before problem-solving.