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Teaching simple interest with classroom loans

Simple interest is one formula, I = Prt, and most students can plug numbers into it by the end of one lesson. What they usually can't do is tell you whether a loan is a good deal. Class loans fix that, because the P is their money and the deal is theirs to take or leave.

Set up loans that keep the math clean

A few choices make classroom loans friendly to middle school math:

The worked example

A student borrows $20 at 8% per month for 4 weeks.

t = 4 ÷ 4 = 1 month
I = P × r × t = 20 × 0.08 × 1 = $1.60
Total to repay = 20 + 1.60 = $21.60
Weekly payment = 21.60 ÷ 4 = $5.40

Have students calculate the interest and total before the loan is approved. If they can't explain what they're agreeing to, they aren't ready to sign.

The rounding question everyone asks

Sooner or later a total won't divide evenly. Borrow $100 at 4% per month for 6 weeks:

t = 6 ÷ 4 = 1.5
I = 100 × 0.04 × 1.5 = $6.00, total $106.00
106.00 ÷ 6 = 17.666... → $17.67 a week
5 × 17.67 = 88.35, so the last payment is 106.00 − 88.35 = $17.65

Students always ask where the extra pennies go. That's a great question to answer out loud: the first payments round up, and the last payment is whatever's left, so the total comes out exact. Many real loans settle the leftover cents in the final payment the same way.

Compare two offers

This is where interest stops being a formula and becomes a decision. A student needs $50:

RateTermInterestWeekly payment
Offer A6% / month4 weeks$3.00$13.25
Offer B4% / month8 weeks$4.00$6.75

The lower rate costs more, because time matters as much as rate. And the cheaper loan has a payment twice as big. If a student earns $25 a week and payments are capped at 40% of pay ($10), Offer A isn't even available to them. It is the same trade-off people weigh on a car loan.

Paying off early

If interest is charged only for the weeks a student actually held the loan, paying early saves money, and students can prove it. Take $100 at 4% for 8 weeks: interest $8.00, payments $13.50. After three on-time payments ($40.50), the student pays off the rest at the three-week mark:

Interest for 3 weeks = 100 × 0.04 × 0.75 = $3.00
Owed = 103.00 − 40.50 = $62.50
Saved = 8.00 − 3.00 = $5.00

Practice before the real thing

Our free simple interest practice sheet has eight loan problems built on these ideas, including the rounding, comparison, and early payoff problems above, with a full answer key. Use it the week before loans open, and the first real application becomes the assessment.

In Cashroom, students do this math on the loan application itself: they work out the interest and the total before it sends, then pay weekly or turn on autopay, and their credit score responds to how it goes.

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