Foundations of Mathematical Thinking · 1st Class

Active learning ideas

Using Money: Paying and Getting Change

Money skills stick when children handle real coins and act out transactions. Active, hands-on tasks let students feel the weight of coins, see value relationships, and immediately correct errors through peer feedback. This direct engagement builds both confidence and accuracy in paying and making change.

• NCCA Curriculum Specifications
• NCCA: Junior Cycle - Strand 3: Number - N.1.7
• NCCA: Junior Cycle - Strand 3: Number - N.1.8

• 20–35 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Role Play
• 35 min · Pairs

Role-Play: Classroom Market Stall

Create a market stall with 8-10 priced items under 50c. Pairs act as buyer and seller: buyer selects item, counts out exact coins or overpays, seller verifies and gives change using play money. Switch roles every three turns and discuss strategies as a group.

How do you find out how much something costs by reading the price label?

Facilitation Tip

Before the Classroom Market Stall, model a full transaction with think-alouds so students hear how you decide which coins to use.

What to look for

Present students with a price label (e.g., 35c) and a selection of play coins. Ask: 'Show me the coins you would use to pay exactly for this item.' Observe their coin choices and accuracy.

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

Activity 02

• Stations Rotation
• 25 min · Small Groups

Stations Rotation: Coin Challenges

Prepare four stations with price cards (10c-40c) and coin trays. At each, small groups build exact amounts, record combinations on worksheets, then test by 'paying' a partner. Rotate every 7 minutes; end with share-out of trickiest amounts.

What coins would you use to buy something that costs 30 cent?

Facilitation Tip

At the Coin Challenges station, provide only one set of each coin denomination so students must negotiate and share resources.

What to look for

Give each student a card with a scenario: 'You bought an apple for 20c and paid with a 50c coin. How much change did you get?' Students write their answer and draw the coins for the change.

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

Activity 03

• Simulation Game
• 30 min · Whole Class

Simulation Game: Change Dash Board

Draw a path board with 12 squares, each showing a price paid with extra coins. Whole class rolls dice to advance; players compute change and move forward if correct, using coin manipulatives. Correct peers' work collaboratively.

Can you act out buying an item in a shop and work out the change you would receive?

Facilitation Tip

During Change Dash Board, circulate with a timer and a checklist to note who hesitates on subtraction and needs a quick mini-lesson.

What to look for

Pose the question: 'If an item costs 40c, what are two different ways you could pay for it using only 10c and 20c coins?' Facilitate a class discussion where students share and compare their coin combinations.

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

Activity 04

• Role Play
• 20 min · Individual

Individual: Price Tag Match-Up

Provide cards with prices and coin sets. Students work alone to match sets that make exact payment or compute change from 50c, drawing their solutions. Pair up afterward to verify and explain choices.

How do you find out how much something costs by reading the price label?

Facilitation Tip

For the Price Tag Match-Up, have students record their matches on mini whiteboards to expose errors in real time.

What to look for

Present students with a price label (e.g., 35c) and a selection of play coins. Ask: 'Show me the coins you would use to pay exactly for this item.' Observe their coin choices and accuracy.

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

A few notes on teaching this unit

Teach money as a system, not isolated facts. Use small, frequent sessions with real coins to build subitizing of coin groups (e.g., two 20c coins feel like 40c). Avoid worksheets early on; they mask gaps in coin recognition and value. Research shows that dramatic play and station rotations deepen understanding faster than abstract drills. Keep language consistent: always say 'pay with' and 'get back' to reinforce the direction of the transaction.

By the end of these activities, students will confidently select coin combinations for exact payments, calculate change using subtraction within 100 cent, and explain their choices to peers. They will move from trial-and-error to flexible, purposeful use of denominations.

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Watch Out for These Misconceptions

• During Coin Challenges, watch for students who group coins by size or color instead of value.

  Prompt them to place coins on a value mat labeled 1c, 2c, 5c, 10c, 20c, and 50c, then sort by the labels rather than appearance. Have peers verify each placement with a quick count aloud.

• During Classroom Market Stall, watch for students who hand over coins without calculating change first.

  Introduce a 'price card' with a subtraction sentence on the back (e.g., 50c – 30c). Students must fill in the change amount before selecting coins, turning the dramatic play into a math task.

• During Price Tag Match-Up, watch for students who assume 30 cent can only be three 10c coins.

  Provide a coin bank with multiple 5c and 20c coins. Challenge them to find all combinations that equal 30 cent and record them on a whiteboard for the class to see and compare.

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Methods used in this brief

• Role Play
• Stations Rotation
• Simulation Game