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.

• Primary 3
• Mathematics
• 4 activities
• 25 min–45 min

Learning Objectives

1. Calculate the total cost of purchasing two or more items, given their individual prices.
2. Determine the correct change to be received after a purchase, given the amount paid and the total cost.
3. Compare the prices of two or more items to identify the cheaper or more expensive option.
4. Formulate a two-step word problem involving purchasing two items and calculating the change received.
5. Explain the steps taken to solve a given money word problem, identifying the operations used and why.

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.

Prepare & details

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.

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

Problem-Based Learning

⏱ 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.

Prepare & details

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.

Setup: Groups at tables with access to research materials

Materials: Problem scenario document, KWL chart or inquiry framework, Resource library, Solution presentation template

• Analyze
• Evaluate
• Create
• Decision-Making
• Self-Management
• Relationship Skills

Problem-Based Learning

⏱ 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.

Prepare & details

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.

Setup: Groups at tables with access to research materials

Materials: Problem scenario document, KWL chart or inquiry framework, Resource library, Solution presentation template

• Analyze
• Evaluate
• Create
• Decision-Making
• Self-Management
• Relationship Skills

Problem-Based Learning

⏱ 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.

Prepare & details

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.

Setup: Groups at tables with access to research materials

Materials: Problem scenario document, KWL chart or inquiry framework, Resource library, Solution presentation template

• Analyze
• Evaluate
• Create
• Decision-Making
• Self-Management
• Relationship Skills

Teaching This Topic

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.

What to Expect

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.

Watch Out for These Misconceptions

Common Misconception

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

What to Teach Instead

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

Common Misconception

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

What to Teach Instead

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

Common Misconception

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

What to Teach Instead

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

Assessment Ideas

Exit Ticket

After Money Shop Stations, provide each student with a shopping scenario to solve independently, showing all steps. Collect these to identify persistent errors in operation choice or notation.

Quick Check

During Problem Card Match-Up, circulate with an answer key and listen to pairs explain their matching process to assess whether they identify operation cues correctly.

Discussion Prompt

After the Money Problem Relay, facilitate a whole-class debrief where teams share their strategies and reasoning. Take notes on common approaches and missteps to address in future lessons.

Extensions & Scaffolding

• Challenge students to create two-step problems with a 'better deal' scenario, such as comparing bulk purchases.
• For students who struggle, provide pre-labeled price tags and partially completed number sentences during stations.
• Deeper exploration: invite students to research real store flyers and design their own shopping scenarios with tax calculations.

Key Vocabulary

Cost	The amount of money needed to buy something.
Change	The money a customer receives back when they pay more than the cost of an item.
Total Cost	The sum of the prices of all items purchased.
Compare Prices	Looking at the cost of different items to decide which is less or more expensive.