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Unit 4

Lesson 3

Revolving vs. Installment Credit: Mathematical Comparisons

Last Updated: 5/18/2026
Preparation
Prep
Lesson Narrative

In this lesson, students compare the structural differences between revolving credit (credit cards, lines of credit) and installment credit (auto loans, mortgages, student loans). They will analyze how open-ended borrowing limits differ from closed-end, fixed-term loans, mathematically evaluating the risks of compounding interest in revolving accounts.

Learning Goals

• Differentiate between revolving credit and installment credit.

• Analyze the compounding interest risks of open-ended revolving accounts.

• Compare the typical interest rates and terms of both credit structures.

Student Facing Learning Goals

• Let's figure out the difference between borrowing money for a house versus borrowing money on a credit card.

Student Facing Learning Targets

• I can explain the difference between revolving and installment credit.

• I can categorize common loans into the correct credit type.

• I understand why revolving credit usually has higher interest rates.

Required Academic Standards

National Jump$tart Standards:

• Credit and Debt (Standard 1): Analyze the costs and benefits of various types of credit.

Glossary Entries

Revolving Credit: A credit line with a maximum limit that can be borrowed against, repaid, and borrowed against again (e.g., credit cards).

Installment Credit: A loan for a fixed amount of money, repaid with a set number of scheduled payments over a specific term (e.g., auto loans).

Credit Limit: The maximum amount you can borrow on a revolving credit account.

Fixed Interest Rate: An interest rate that does not change over the life of the loan.

Lesson
Lesson
Warm Up

4.3.1: The Bucket vs. The Hose

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 baseline: Installment loans give you all the money at once and close when you pay them off (the bucket). Revolving credit lets you keep drawing money as long as you pay it back (the hose).

Student Facing Task

You need to borrow money. Bank A hands you a check for $5,000, and you pay them $100 a month for 5 years until the account is closed forever. Bank B gives you a card with a $5,000 limit; you can spend $1,000, pay it back, and immediately spend another $1,000 forever. What is the fundamental difference between these two types of borrowing?

Activity 1

4.3.2: Categorizing Debt

Launch: Keep students at whiteboards. Project the list of debts. Give groups 8 minutes to categorize them.

Synthesis: Have the class observe the boards. (Teacher Key: Installment = Auto, Student, Mortgage. Revolving = Credit Card, HELOC). Emphasize that installment loans usually have fixed terms and fixed payments, making them highly predictable for budgeting.

Student Facing Task

Categorize the following five types of debt as either "Installment Credit" (fixed amount, closed-end) or "Revolving Credit" (open-ended limit, reusable):

1. A 30-Year Home Mortgage

2. A Visa Credit Card

3. A 5-Year Auto Loan

4. Federal Student Loans

5. A Home Equity Line of Credit (HELOC)

Activity 2

4.3.3: The Rate Risk Math

Launch: Present the interest rate scenario. Give the whiteboard groups 8 minutes to calculate the differences.

Synthesis: Facilitate a class debate. (Key: Revolving credit is "unsecured," meaning the bank can't repossess your dinner or vacation if you don't pay. Installment credit like a car loan is "secured"—they take the car if you don't pay. Higher risk for the bank = higher APR for you).

Student Facing Task

You borrow $20,000 on an Installment Auto Loan at a 6% APR. You also borrow $20,000 on a Revolving Credit Card at a 24% APR.

1. In the first year, roughly how much interest would the auto loan generate? (6% of $20k)

2. In the first year, roughly how much interest would the credit card generate? (24% of $20k)

3. Why does the bank charge 4x more interest for the credit card than the auto loan? (Hint: What happens if you stop paying for the car?)

Lesson Synthesis

Lesson Synthesis (5 min)

Narrative: Bring the class back to their seats. Review the student-facing learning targets. Summarize: "Installment credit is a predictable path to buying big assets. Revolving credit is an open-ended tool for daily spending that becomes a massive liability if you carry a balance."

Cool Down

4.3.4: Defining the Structures

Narrative: This exit ticket serves as a formative assessment on credit structures.

Teacher Rubric: A successful response must articulate that an auto loan is Installment Credit (fixed term, fixed payment, closed when paid off), while a credit card is Revolving Credit (open limit, reusable, variable payments).

Student Facing Task

In your own words, explain the structural difference between how you borrow and repay an auto loan versus how you borrow and repay a credit card.

Assignments
Printouts
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