Mathematics · Primary 3

Active learning ideas

Solving Word Problems Involving Money

Active learning works well for money problems because students need to experience the transaction process physically before abstracting it. Real-world contexts like shopping make abstract operations concrete, which helps students connect symbols to actions. Hands-on stations and peer interactions build confidence before moving to written work.

• MOE Syllabus Outcomes
• MOE: Numbers and Algebra - P3
• MOE: Money - P3

• 25–45 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Stations Rotation
• 45 min · Small Groups

Stations Rotation: Money Shop Stations

Prepare four stations with price tags, play money, and item cards: buying one item, two items, calculating change, comparing prices. Students rotate in groups, solve problems at each station, record workings, and exchange money physically. Debrief as a class on operation choices.

What information from the problem tells you whether to add, subtract, multiply, or divide?

Facilitation Tip

During Money Shop Stations, circulate and listen for students naming the operation aloud as they combine prices.

What to look for

Provide students with a scenario: 'Sarah bought a pencil case for $3.50 and a notebook for $1.20. She paid with a $5 note. How much change did she receive?' Students write down their answer and show their working.

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

Activity 02

• Outdoor Investigation Session
• 30 min · Pairs

Pairs: Problem Card Match-Up

Create cards with word problems on one set and matching solutions or operations on another. Pairs match them, discuss why the operation fits, then solve three new problems together using play money. Pairs share one insight with the class.

How do you check that your answer for a money problem is reasonable?

Facilitation Tip

For Problem Card Match-Up, provide calculators only after students have solved problems mentally to encourage number sense.

What to look for

Display two items on the board with prices, e.g., a book for $8.75 and a pen for $2.30. Ask students: 'Which item is more expensive? How much more?' Students write their answers on mini whiteboards.

• Remember
• Understand
• Analyze
• Social Awareness
• Self-Awareness
• Decision-Making

Activity 03

• Outdoor Investigation Session
• 35 min · Whole Class

Whole Class: Money Problem Relay

Divide class into teams. Project a word problem; first student from each team writes the operation and solves at board, tags next teammate for steps like calculating change. First team to reasonable answer wins; review all solutions.

Can you write your own word problem that involves buying two items and calculating change?

Facilitation Tip

In the Money Problem Relay, assign roles like 'shopper' and 'cashier' to make the sequence of steps visible.

What to look for

Pose the question: 'Imagine you have $10. You want to buy a toy car that costs $6.50 and a comic book that costs $3.00. What steps would you take to figure out if you have enough money and how much change you would get?' Facilitate a class discussion on their strategies.

• Remember
• Understand
• Analyze
• Social Awareness
• Self-Awareness
• Decision-Making

Activity 04

• Outdoor Investigation Session
• 25 min · Individual

Individual: Create Your Own Problem

Students write a two-step money problem about shopping, including purchasing and change. They solve it, then swap with a partner for peer checking on reasonableness. Collect for class gallery walk.

What information from the problem tells you whether to add, subtract, multiply, or divide?

Facilitation Tip

When students Create Your Own Problem, ask them to include a 'hint' word that signals the operation they used.

What to look for

Provide students with a scenario: 'Sarah bought a pencil case for $3.50 and a notebook for $1.20. She paid with a $5 note. How much change did she receive?' Students write down their answer and show their working.

• Remember
• Understand
• Analyze
• Social Awareness
• Self-Awareness
• Decision-Making

A few notes on teaching this unit

Teachers should model the full transaction process with think-alouds, showing how to read a problem, identify clues, and sequence operations. Avoid rushing to written work; instead, use concrete materials like coins and price tags to build understanding. Research suggests frequent, low-stakes practice with immediate feedback prevents misconceptions from forming. Emphasize estimation before calculation to develop number sense.

Successful learning looks like students confidently selecting the correct operations, explaining their steps aloud, and verifying answers for reasonableness. They should use money notation accurately and discuss strategies with peers during collaborative tasks. Written work reflects clear, logical steps with correct final answers.

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Watch Out for These Misconceptions

• During Money Shop Stations, watch for students who combine prices incorrectly when buying multiple items.

  Ask them to lay out play money for each item, then combine piles to visualize total cost before writing the equation.

• During Money Problem Relay, watch for students who stop after subtracting one item's price from payment.

  Pause the relay and prompt them to read the problem again aloud, circling each price and operation cue before resuming.

• During Problem Card Match-Up, watch for students who accept unrealistic change amounts without checking.

  Require them to round prices to the nearest dollar and estimate change before calculating to develop a sense of reasonableness.

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Methods used in this brief

• Stations Rotation
• Outdoor Investigation Session