This lesson (download) takes a student through the process of deciding at which bank to deposit $1500 in a savings account. The banks and their terms for interest are entirely fanciful, but the main purpose of the lesson is to guide the student to this understanding: that compounding interest at shorter and shorter intervals always increases the benefit, but by an amount that becomes less and less; in other words, the benefit approaches a limit as "n" goes to infinity. The extension activity (download) shows the student that for a principal of 1 and an interest of 100%, the limit of the formula for compound interest (as "n" goes to infinity) is equal to e.
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