Money: Giving Change

Active learning turns abstract money calculations into concrete, social tasks. When pupils physically give and receive change, they connect symbols on paper to real coins in hand, building confidence and accuracy. Movement and talk during these activities strengthen mental math while normalising mistakes as part of the process.

• Year 2
• Mathematics
• 4 activities
• 20 min–40 min

Learning Objectives

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

Role Play

⏱ 30 min·Pairs

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.

Prepare & details

Explain how to calculate the change needed when buying an item.

Facilitation Tip: During Role Play: Class Shop, circulate with a small bag of coins so every pupil handles at least one transaction.

Setup: Open space or rearranged desks for scenario staging

Materials: Character cards with backstory and goals, Scenario briefing sheet

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

Stations Rotation

⏱ 40 min·Small Groups

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.

Prepare & details

Critique different strategies for giving change efficiently.

Facilitation Tip: For Station Rotation: Change Challenges, set a timer for three minutes per station to keep energy high and prevent over-focusing on speed.

Setup: Tables/desks arranged in 4-6 distinct stations around room

Materials: Station instruction cards, Different materials per station, Rotation timer

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

Simulation Game

⏱ 25 min·Whole Class

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.

Prepare & details

Construct a scenario where giving the correct change is crucial.

Facilitation Tip: In Whole Class: Change Relay, stand at the back of the room to observe the order of steps and note any pupils counting aloud rather than mentally.

Setup: Flexible space for group stations

Materials: Role cards with goals/resources, Game currency or tokens, Round tracker

• Apply
• Analyze
• Evaluate
• Create
• Social Awareness
• Decision-Making

Simulation Game

⏱ 20 min·Individual

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.

Prepare & details

Explain how to calculate the change needed when buying an item.

Facilitation Tip: During Individual: Change Puzzles, provide blank ten-strips and counters for pupils who need to count up visually before writing numbers.

Setup: Flexible space for group stations

Materials: Role cards with goals/resources, Game currency or tokens, Round tracker

• Apply
• Analyze
• Evaluate
• Create
• Social Awareness
• Decision-Making

Teaching This Topic

Teach this topic through repeated, low-stakes practice with physical objects first, moving to mental methods only after accuracy is secure. Avoid worksheets until pupils can explain their thinking aloud. Research shows that counting-up strategies develop more naturally when pupils are asked to ‘make the price’ with coins rather than ‘subtract’ on paper. Model both methods yourself, then step back to let pupils experiment.

What to Expect

By the end of these activities, pupils will explain two strategies for finding change and choose one based on the numbers involved. They will also justify their coin choices and verify results with a partner. Success looks like clear steps, correct totals, and willingness to try alternative methods.

Watch Out for These Misconceptions

Common Misconception

During Role Play: Class Shop, watch for pupils insisting on using the fewest coins each time and rejecting other correct combinations.

What to Teach Instead

After they complete a transaction, ask them to try giving change with any coins available, then compare totals with a partner to see that different sets can make the same amount.

Common Misconception

During Station Rotation: Change Challenges, listen for pupils always counting down from the tendered amount instead of trialling counting up from the price.

What to Teach Instead

Pose this station sign: ‘Time yourself both ways. Did counting up save seconds on this task? Share your finding with your group.’

Common Misconception

During Role Play: Class Shop, notice pupils verbalising the total cost plus extra money when explaining change to the shopkeeper.

What to Teach Instead

Prompt them to hold up the coins they are handing back and say, ‘Here is the difference,’ reinforcing the concept of subtraction as finding a gap.

Assessment Ideas

Quick Check

After Station Rotation: Change Challenges, collect the recording sheets from each station. Look for pupils writing subtraction equations and counting-up sequences, noting which method each prefers.

Discussion Prompt

During Whole Class: Change Relay, pause after each pair shares their change amount and ask, ‘Why did you choose to count up here instead of subtract?’ Record pupil responses on the board to highlight strategy choice.

Exit Ticket

After Individual: Change Puzzles, collect the completed sheets and check that pupils have written both the calculation and the correct change amount. Look for clear steps and correct totals.

Extensions & Scaffolding

• Challenge early finishers to find three different coin combinations for the same change amount and present their sets to the class.
• Scaffolding: Provide a number line with key coin values marked when pupils struggle with counting up from prices near multiples of 10.
• Deeper exploration: Ask pairs to create a ‘change guide’ poster showing when counting up is fastest and when subtraction is easier, including examples.

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.