Minecraft
Preparation
Lesson Narrative
Students dive into the economics of transportation. They will calculate vehicle depreciation curves, compare the total mathematical costs of leasing versus buying a car, and dissect common dealership financing traps like the "four-square" negotiation method.
Learning Goals
• Calculate the mathematical impact of vehicle depreciation over time.
• Compare and contrast the total financial costs of leasing versus buying a vehicle.
• Dissect and bypass dealership financing tricks.
Student Facing Lesson Objective
• Let's calculate why buying a brand-new car is often a terrible financial decision and learn how to beat a car salesman at his own game.
Student Facing Learning Targets ("I Can" Statements)
• I can calculate a vehicle's depreciation curve.
• I can explain the mathematical difference between leasing and buying a car.
• I can identify a dealer financing trap.
Required Academic Standards
National Jump$tart Standards:
• Credit and Debt (Standard 1): Analyze the costs and benefits of various types of credit.
Glossary Entries
Depreciation: The reduction in the economic value of an asset over time, particularly vehicles.
Lease: A contract renting a land or vehicle to another for a specified period of time.
Residual Value: The estimated value of a leased asset at the end of the lease term.
Four-Square Method: A psychological negotiation tactic used by car dealerships to hide the total loan cost by mixing down payments, trade-ins, and monthly payments.
Lesson
Warm Up
4.8.1: The Drive-Off Drop
Launch: Have students stand in randomized groups of 3 at vertical whiteboards. Present the prompt verbally or project it. Give them 4 minutes.
Synthesis: Select two groups to share. Establish the concept of a "depreciating asset." Unlike real estate or stocks, a car loses value the more you use it. Buying a new car means watching wealth evaporate.
Student Facing Task
Student-Facing Task: You buy a brand-new car today for $30,000. The moment you drive it off the dealership lot, the market value drops by 10%.
1. Calculate the exact dollar value your car lost in the first 30 seconds of ownership.
2. What is the car worth now?
Activity 1
4.8.2: The Depreciation Curve
Launch: Keep students at whiteboards. Project the 5-year depreciation chart (20% drop in Year 1, 15% each year after). Give groups 8 minutes.
Synthesis: Have the class observe the boards. (Teacher Key: Year 1 = $24,000; Year 5 = Roughly $13,000) . Emphasize that you are paying interest on a $30,000 loan while the asset itself is rapidly shrinking in value. This is how consumers get "underwater" on a loan.
Student Facing Task
Student-Facing Task: Using the $30,000 car from the Warm-Up, calculate its value over a 5-year depreciation curve.
• Year 1: Loses 20% of original value.
• Years 2 through 5: Loses 15% of the remaining value each year.
1. Calculate the value at the end of Year 1.
2. Calculate the value at the end of Year 2.
3. If you took out a 5-year loan for $30,000, why is it dangerous that your car is only worth around $13,000 in Year 5?
Activity 2
4.8.3: MINI-PROJECT: The Car Dealership Simulation [BLM Required]
Launch: Distribute the Car Dealership Simulation catalog containing 8 different car listings (new, used, lease, high interest vs low interest). Give groups 15 minutes to review the options and run their calculations.
Synthesis: Have groups present their final purchasing decision. They must mathematically defend how their choice avoids negative equity traps and results in the best long-term deal.
Student Facing Task
Student-Facing Task: Review a catalog of 8 car listings containing options for new cars, used cars, leases, and loans with varying interest rates. Identify the listings that contain negative equity traps. Calculate the total expenditures for your top choices and purchase the mathematically best deal.
Lesson Synthesis
Lesson Synthesis (5 min)
Narrative: Bring the class back to their seats. Review the student-facing learning targets. Summarize: "When walking into a dealership, never negotiate based on the monthly payment. The dealer will use that number to hide the true price of the car using the four-square trick."
Cool Down
4.8.4: Bypassing the Four-Square
Narrative: This exit ticket serves as a formative assessment on consumer negotiation tactics.
Teacher Rubric: A successful response must state that the buyer should refuse to discuss monthly payments and instead insist on negotiating the "Out-the-Door" (total purchase) price of the vehicle first, then shopping for their own financing at a credit union.
Student Facing Task
Student-Facing Task: A car dealer slides a piece of paper divided into four squares (Monthly Payment, Trade-In Value, Down Payment, Purchase Price) and asks, "What monthly payment fits your budget?" Based on today's lesson, how do you respond to protect your wallet?