Mathematics · Grade 2 · Additive Thinking and Mental Strategies · Term 2

Money: Solving Word Problems

Students solve addition and subtraction word problems involving Canadian coins (nickel, dime, quarter, loonie, toonie), applying strategies for counting, combining, and making change up to $2.00.

• Ontario Curriculum Expectations
• 2.MD.C.8

About This Topic

In this topic, students solve addition and subtraction word problems using Canadian coins such as the nickel, dime, quarter, loonie, and toonie. They practice counting collections of coins, combining amounts to reach a total, and making change from purchases up to $2.00. These problems require students to identify the needed operation, often through context clues like buying items or receiving change, and apply mental strategies from the additive thinking unit.

This work builds foundational financial literacy and reinforces number operations within real-world scenarios. Students design their own money problems, such as combining coins for a specific amount, and justify their solution steps, which strengthens reasoning and communication skills. Connections to everyday experiences, like shopping at a store, make the mathematics relevant and engaging.

Active learning shines here because students manipulate real or replica coins to act out word problems, turning abstract calculations into concrete actions. Pairing this with collaborative problem-solving helps students discuss strategies, catch errors early, and build confidence in handling money independently.

Key Questions

1. Analyze a money word problem to determine the correct operation.
2. Design a scenario where you need to combine different coins to reach a specific amount.
3. Justify the steps taken to solve a problem involving making change.

Learning Objectives

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

Before You Start

Counting and Combining Coins

Why: Students need to be able to count the value of individual coins and collections of coins before they can solve word problems involving money.

Addition and Subtraction within 100

Why: Solving money word problems requires applying addition and subtraction strategies to amounts up to $2.00.

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.

Watch Out for These Misconceptions

Common Misconception

Always add coin values, even for subtraction problems.

What to Teach Instead

Students often overlook context cues signaling subtraction, like 'change from.' Role-playing shopping scenarios helps them experience the operation physically, as they hand over coins and receive change, reinforcing the correct choice through discussion and peer feedback.

Common Misconception

Two identical coins double the value incorrectly, ignoring totals.

What to Teach Instead

Confusion arises with multiples, like two quarters as 50 cents total. Sorting and grouping coins in stations clarifies composing amounts; students build totals visibly, compare with partners, and justify why 25 + 25 = 50 cents.

Common Misconception

Loonie and toonie confuse with paper money values.

What to Teach Instead

Some think loonie is 10 cents like a dime. Hands-on matching games pair coins to values on charts; active exchange activities, like trading for equivalents, build recognition through repetition and error correction in pairs.

Active Learning Ideas

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.

45 min·Small Groups

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.

30 min·Pairs

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.

25 min·Whole Class

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.

20 min·Individual

Real-World Connections

• A cashier at a grocery store uses knowledge of coin values and addition/subtraction to accurately calculate the total cost of items and provide the correct change to customers.
• A child saving allowance for a specific toy, like a video game or a book, must combine different coins and bills to reach the target amount, practicing addition skills.
• Planning a small bake sale involves calculating the cost of ingredients and setting prices for items, then determining how much money is earned and what profit is made.

Assessment Ideas

Exit Ticket

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

Present students with a picture of 3-4 different Canadian coins. Ask them to write down the total value of the coins shown. Circulate to observe their counting strategies and provide immediate feedback.

Discussion Prompt

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.

Frequently Asked Questions

How do students determine the operation in money word problems?

Teach students to underline key words and phrases: 'buy,' 'total,' or 'spend all' signal addition; 'change,' 'left,' or 'how much more' indicate subtraction. Model analyzing sample problems together, then have pairs sort problems into operation categories before solving. This builds analytical habits and reduces errors in context reading.

What strategies help with making change up to $2.00?

Start with counting up from the purchase amount using nearest coins, like from $1.25 to $2.00 with a loonie and nickel. Practice with realia in role-plays where students verbalize steps: 'From 25 cents, next is quarter to 50, then...' Peer teaching in small groups solidifies mental math fluency.

How can active learning help students with money word problems?

Active approaches like coin manipulation and shop simulations make operations tangible; students physically combine or remove coins, mirroring problem actions. Group rotations encourage strategy sharing, while role-plays build confidence in justifying steps. These methods address misconceptions quickly through observation and immediate feedback, leading to deeper retention than worksheets alone.

How to connect money problems to real life in Grade 2?

Use school store setups or community helper visits with actual transactions under $2.00. Students track class snack sales data, solving collective problems like total earnings. This links curriculum to experiences, fosters relevance, and motivates justification of solutions through shared stories.