Smarter Spending Choices

Overview

Students investigate how consumers can reduce expenses by comparing unit prices, distinguishing planned and unplanned expenses, and creating a realistic savings plan. They use equations and inequalities to model budget constraints and evaluate spending strategies using evidence.

Learning intentions

Students will be able to:

• Calculate and interpret unit prices in real-world purchasing situations.
• Represent income, expenses, and savings goals with equations and inequalities.
• Distinguish between planned expenses, unplanned expenses, and emergency savings.
• Compare spending strategies and justify which option is most financially viable.

Success criteria

• I can calculate cost per ounce, item, or unit and identify the better deal.
• I can write an equation or inequality that represents a budget constraint.
• I can explain what an expression means in a budgeting context.
• I can support a spending recommendation with calculations and clear reasoning.

Curriculum links

• Reading technical procedures: following a multistep process accurately, including exceptions and special cases.
• Creating equations and inequalities: representing constraints and interpreting viable solutions in a modeling context.
• Seeing structure in expressions: interpreting quantities and terms according to their real-world meaning.
• Using probability to make decisions: comparing strategies based on expected value.
• Modeling with geometry: applying geometric reasoning to solve a design problem involving physical constraints or cost.

Lesson structure (90 minutes)

1. 0–8 min · Hook: Which deal wins? Teacher displays two body-wash options on the opening comparison slide: 12 ounces for $5.40 and 20 ounces for $8.40. Students make an individual choice, then briefly explain whether they used total price, package size, or unit price.

2. 8–23 min · Direct teach: Reading the fine print. Teacher models the procedure on the unit-pricing instruction slides: identify the total cost, identify the number of units, divide cost by units, label the answer, and round appropriately; teacher highlights that a larger package is not automatically the better deal. Students calculate the examples $5.99 for 12 rolls and $7.99 for 18 rolls, checking that the second option costs less per roll.

3. 23–43 min · Worksheet practice: Multiple question formats. Teacher distributes the smarter spending worksheet and completes the first problem aloud. Students work independently for eight minutes, then compare methods with a partner. The worksheet includes multiple choice, matching, fill-in-the-blank calculations, short response, error analysis, and a brief explanation requiring students to follow the calculation steps in order.

4. 43–58 min · Mini-lesson: Budget constraints. Teacher uses the budget-modeling slides to introduce the scenario: Jordan has $120 of monthly flexible income, plans to spend $45 on transportation and $25 on phone service, and wants to save at least $30. Teacher models the expression (120 - 45 - 25 - x), explains each term, and develops the inequality (120 - 45 - 25 - x \geq 30). Students identify what (x) represents, solve for the maximum viable spending, and explain why a value above that amount is nonviable.

5. 58–75 min · Team challenge: Reduce the expense. Students work in five groups of four using a scenario on the team challenge slides. Each group receives a monthly budget with fixed expenses, a savings target, and two optional spending choices. Groups must calculate at least two unit prices, write one budget inequality, and recommend a strategy such as scrimping, switching products, negotiating a bill, or postponing a purchase. Teacher conferences with groups and checks calculations before presentations.

6. 75–85 min · Share and evaluate strategies. Each group gives a one-minute recommendation using its calculations. Teacher records strategies on the board and asks students to compare them by savings, feasibility, and possible trade-offs. For a brief expected-value connection, students evaluate two discount plans: Plan A guarantees $10 savings; Plan B gives a 50% chance of saving $25 and a 50% chance of saving $0. Students calculate and compare expected savings, recognizing that the larger expected value may involve greater uncertainty.

7. 85–90 min · Exit assessment. Teacher displays the closing prompts. Students answer independently: “A 16-ounce product costs $6.40 and a 24-ounce product costs $8.40. Which is the better deal, and why?” They then write one inequality for a person with $200 income, $90 planned expenses, and a goal to save at least $50.

Resources

• the complete spending choices slide deck
• the smarter spending worksheet
• Calculators or calculator tools
• Whiteboard and markers
• Printed group budget scenarios
• Pencils and lined paper
• Timer
• Projector or interactive display

Assessment

• During modeling, ask students to explain what each number and variable represents rather than only stating an answer.
• Check worksheet responses for accurate division, labels, rounding, and correct interpretation of viable and nonviable budget solutions.
• Collect the exit assessment to evaluate unit-price reasoning and the ability to represent a budget constraint with an inequality.

Differentiation

• Support students with a four-step unit-price checklist, a worked example, a calculator, and sentence starters such as “The unit price represents…” and “This option is viable because…”
• Provide pre-labeled equations and a word bank for students who need help translating the scenario into mathematics; allow oral explanation before written recording.
• For multilingual learners, pair visual product labels with plain-language definitions of “unit price,” “planned expense,” “emergency fund,” “constraint,” and “viable.”
• Extend students by asking them to design a package-size comparison or savings plan that meets three constraints, then explain which assumptions could change their recommendation.