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 Learning Goals
• 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 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
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
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: Lease vs. Buy Math
Launch: Present the lease scenario vs. loan scenario. Give the whiteboard groups 10 minutes to calculate total expenditures.
Synthesis: Facilitate a class debate. (Key: Lease = $300 x 36 = $10,800 spent, you own 0% of the asset. Buy = $500 x 36 = $18,000 spent, you own a car worth $15,000. Net cost to buy = $3,000). Prove that leasing is mathematically the most expensive way to operate a vehicle because you pay for the peak depreciation years without building equity.
Student Facing Task
Compare these two options for a $25,000 car over 3 years:
• Option A (Lease): Pay $300/month for 36 months. Hand the keys back to the dealer at the end. You own nothing.
• Option B (Buy): Pay $500/month on a 3-year loan. At the end, you keep the car, which is now worth $15,000.
1. Calculate the total out-of-pocket cash spent on the Lease.
2. Calculate the total out-of-pocket cash spent on Buying.
3. Subtract the car's remaining value ($15,000) from your total buying cost. Which option actually cost you the least amount of net wealth over the 3 years?
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
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?