Activity 01
Math Exploration: The Cost of Waiting
Students use compound interest formulas or a provided calculator to compute the retirement balance of three hypothetical savers: one starting at 22, one at 32, and one at 42, each saving $200 per month at 7% annual return. They calculate both total contributions and final balances for each, then graph the results. The debrief focuses on the dollar-value gap between starting at 22 versus 32, which is often larger than students expect.
Explain the power of compound interest for long-term savings.
Facilitation TipDuring Math Exploration: The Cost of Waiting, have students graph their results on the same axes to visually reinforce how compound interest grows exponentially over time.
What to look forPresent students with two scenarios: Person A starts saving $100 per month at age 25, and Person B starts saving $200 per month at age 35, both earning 7% annual interest. Ask students to calculate the balance for each person at age 65 and write one sentence explaining which person has more and why.