Money: Solving Word Problems

Active learning helps students grasp money concepts because handling real coins makes abstract values concrete and builds number sense through touch and movement. When students physically sort, count, and exchange coins, they develop a deeper understanding of addition and subtraction in authentic contexts like shopping and making change.

• Grade 2
• Mathematics
• 4 activities
• 20 min–45 min

Learning Objectives

1. Analyze a given money word problem to identify the operation (addition or subtraction) required for its solution.
2. Calculate the total value of a collection of Canadian coins (nickel, dime, quarter, loonie, toonie) up to $2.00.
3. Design a word problem involving combining different Canadian coins to reach a specific sum.
4. Demonstrate the process of making change from a purchase up to $2.00, justifying each step.
5. Compare different combinations of coins to determine the most efficient way to pay for an item.

Stations Rotation

⏱ 45 min·Small Groups

Stations Rotation: Money Problem Stations

Prepare four stations with word problems on cards: one for addition (buying toys), subtraction (making change), combining coins, and designing problems. Students rotate every 10 minutes, solve using play coins, record steps, and share one solution per station. Conclude with a class gallery walk.

Prepare & details

Analyze a money word problem to determine the correct operation.

Facilitation Tip: During Money Problem Stations, circulate between groups to ask guiding questions like 'How did you decide whether to add or subtract?' to prompt deeper thinking about the problem’s context.

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

Shopkeeper Role-Play: Pair Shopping

Pairs take turns as shopper and shopkeeper using price tags under $2.00 and play coins. Shopper selects items, tenders payment; shopkeeper gives change and explains steps. Switch roles twice, then pairs create a word problem from their transaction.

Prepare & details

Design a scenario where you need to combine different coins to reach a specific amount.

Facilitation Tip: In Shopkeeper Role-Play, step back and let partners resolve disagreements about change first, intervening only to highlight teachable moments after they attempt solutions.

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·Whole Class

Coin Challenge Relay: Whole Class

Divide class into teams. One student per team solves a projected word problem at the board using coins, tags teammate to continue next problem. First team to complete five problems wins; debrief strategies as a class.

Prepare & details

Justify the steps taken to solve a problem involving making change.

Facilitation Tip: For the Coin Challenge Relay, set a timer and rotate groups quickly to keep energy high and ensure all students participate in the counting and verification process.

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

⏱ 20 min·Individual

Individual: Design Your Store

Each student draws a store ad with priced items up to $2.00, writes two word problems (one addition, one subtraction), and solves them with coin sketches. Share one with a partner for verification.

Prepare & details

Analyze a money word problem to determine the correct operation.

Facilitation Tip: When students Design Your Store, provide a checklist of required elements like coin combinations, price tags, and a shopping list to guide their work and focus attention on money skills.

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 introduce this topic by connecting it to students’ real-life experiences with money, using Canadian coin sets to build familiarity before tackling word problems. Avoid rushing to abstract symbols; instead, let students explore coin values through games and role-play to solidify their understanding. Research recommends using multiple representations, such as verbal explanations, written calculations, and hands-on manipulatives, to support diverse learners and reinforce conceptual understanding.

What to Expect

By the end of these activities, students should confidently solve money word problems involving Canadian coins up to $2.00, explain their choice of operation, and justify their answers using clear counting strategies. Look for students who can break down totals, make change accurately, and identify when to add or subtract based on problem context.

Watch Out for These Misconceptions

Common Misconception

During Money Problem Stations, watch for students who always add coin values even when the problem describes receiving change or buying items priced lower than their payment.

What to Teach Instead

Ask students to underline context clues in the problem, like 'change' or 'pay,' and physically model the scenario using coin manipulatives to reinforce the correct operation before solving.

Common Misconception

During Coin Challenge Relay, watch for students who incorrectly double the value of identical coins, such as treating two quarters as 25 cents instead of 50 cents.

What to Teach Instead

Have students group identical coins together and count aloud as they combine them, using a number line or hundreds chart to visualize the total and prevent doubling errors.

Common Misconception

During Shopkeeper Role-Play, watch for students who confuse the loonie and toonie with paper money values or smaller coins.

What to Teach Instead

Display a coin chart with images and values, and have students match coins to the correct labels during the role-play, using repetition and peer feedback to reinforce recognition and value.

Assessment Ideas

Exit Ticket

After Money Problem Stations, provide students with a scenario: 'You bought a snack for $1.35 and paid with a $2.00 coin. How much change did you receive?' Ask students to show their work and write one sentence explaining their calculation.

Quick Check

During Coin Challenge Relay, present students with a picture of 3-4 different Canadian coins and ask them to write down the total value of the coins shown. Circulate to observe their counting strategies and provide immediate feedback.

Discussion Prompt

After Shopkeeper Role-Play, pose the question: 'Imagine you need to pay exactly $0.70 for a treat. What are two different combinations of Canadian coins you could use?' Facilitate a class discussion where students share their coin combinations and justify why they work.

Extensions & Scaffolding

• Challenge students during Money Problem Stations by asking them to solve problems involving three or more coins or to find multiple ways to make a given total.
• For students who struggle, provide scaffolding during Shopkeeper Role-Play by giving them pre-written shopping lists with prices and exact change amounts to reduce cognitive load.
• Explore deeper during Design Your Store by having students create a menu with prices that require combining coins up to $2.00 and justify their pricing choices to peers.

Key Vocabulary

Nickel	A Canadian coin worth 5 cents ($0.05).
Dime	A Canadian coin worth 10 cents ($0.10).
Quarter	A Canadian coin worth 25 cents ($0.25).
Loonie	A Canadian coin worth 1 dollar ($1.00).
Toonie	A Canadian coin worth 2 dollars ($2.00).
Making Change	The process of returning the difference between the amount paid and the cost of an item.