Finding Math All About Money: Does it Pay?
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1 NATIONAL PARTNERSHIP FOR QUALITY AFTERSCHOOL LEARNING Finding Math All About Money: Does it Pay? Mr. Opportunist decides to get a credit card to pay for items such as gasoline and food. He finds a card that offers an interest rate of % and begins putting it to use. Eventually, because of the convenience of not having to carry cash, he ends up charging almost everything he purchases on the card. The first statement he receives shows a balance of $ Mr. Opportunist, realizing he might be getting himself into major debt if he isn t careful, determines to pay off this balance before using the card again. Part : Below is a Credit Card Table representing Mr. Opportunist s plan to pay off his balance. Again, the interest rate of the credit card is % (a very good rate, by the way), and the original balance is $ He decides to pay a fixed amount of.00 each month, figuring he can pay the balance off in a year. To find the amount of interest Mr. Opportunist pays each month while paying off his balance, multiply the remaining balance by 0.0 (%, which is how the credit card companies figure interest. The comes from months per year, not from the %). The remainder of the goes to the Principle. (fixed) Interest paid (% = 0.0) Principle Paid Remaining $,00.00 (original balance) $.00 $. $,.00 $. $,0. $0. $. $. $0. $. $. $. $. $. $. $. $. $. $. $. $. 0 $. $. $. $. $. $0. $.0 $0.00
2 Questions:. Fill in the missing amounts. Explain/show your reasoning.. Why does the Principle Paid increase every month until month?. Why does the Interest Paid decrease every month?. Add up the Principle Paid column. Why doesn t the sum equal exactly $00.00?. What is wrong with Mr. Opportunist s assumption that putting $00 on a credit card will cost $00? Why does it take longer to pay off the card than he thinks it will?. How much does Mr. Opportunist pay to charge $00 to his credit card?. Why is this amount the same as the th payment?
3 Part : Mr. Opportunist budgets $0/year to spend at his favorite store, and figures that he can pay $0 a month toward his balance. He secures a credit card from the store with an % interest rate, and a 0% minimum payment, and is pretty sure that he can always pay more than the monthly minimum (he s heard that it is best to pay more than the minimum if Amount 0 $0 $0 $0 $0 $ $0 $0 $0 $0 $0 He figures if he spends a little more than $0 one month, he will just cut back the following month. In, Mr. Opportunist decides he can spend more money than he budgeted, because the deals are so good! As he sees it, he is only paying $0 for $0 worth of merchandise, and he will cut back later. But, Mr. Opportunist realizes, once 0 months have passed, that he is in quite a mess and needs to stop and think about how he got in to it.. Predict how many months it takes Mr. Opportunist to pay off the credit card balance if he doesn t make any more purchases. Why do you think so?. Complete the credit table below to find the answer (it is started for you!): Forward Purchaes balance Interest paid (% = 0.0) Adjusted $0.00 $0.00 $0.00 $0.00 $0 $0.00 $0.00 $. $. $. $. $0.00 $.00 $. $. $. $0.00 $. $00. $0. $0. $.00 $. $0.0 $.0 $.0 $0.00 $0.0 $.0 $0. $. $. $. $. $. $0.00 $.0 $.0 $.0 $0.00 $.0 $0. 0 $0. $0.00 $. $. $. $0.
4 Mr. Opportunist stops to think, and decides to stop making purchases. is filled out for you. Fill out the rest of the credit card table for Mr. Opportunist. 0 Forward Purchaes $0. $0.00 balance Interest paid (% = 0.0) Adjusted $0. $. $0. $0. $.0 Questions:. How long does it take Mr. Opportunist to pay off his balance once he stops making purchases?. What lessons can we learn from Mr. Opportunist? Think about his assumption that he will spend close to his budgeted amount, and that he pays off more than his monthly minimum.. How much does it cost for Mr. Opportunist to use credit for all of his purchases instead of cash? Explain.. Create a graphic display of some of the data in the table. You may create a scatter plot, line graph, or another display of your choice. Be sure to include a title and label all axes! What observations and conclusions can you make about the data in the table, based on your display?
5 Suggested Extension Activities:. Fill out a credit table for a situation relevant to you. Choose a store and amounts you think you might spend, and create a situation to match your spending. You can use the table from Part A, which doesn t ask you to add up purchases along the way, or the table from Part B, which does include monthly purchases. If you have access to the Internet, visit to find a student credit card rate for your state. Using the interest rate and a monthly payment of your choice, fill out a table to determine how much it will cost to buy on credit. To figure out the monthly interest rate, divide the annual percentage rate by. For example, the interest payment on a 0.% credit card rate is found by dividing 0. by, which equals 0.%, or If the balance is 0, calculate the monthly interest by multiplying 0 x 0.00, which equals $... Find and use formulas for any of your calculations from Parts and/or. You can even enter formulas in your calculator to help you calculate values. Table A (fixed) $ Interest paid ( % = ) Principle Paid Remaining $ (original balance) 0
6 Questions:. What did you learn about credit cards by doing these activities?. Prepare a brief report for your classmates explaining what you learned, so that everyone can be a smart consumer. Include your ideas about the following questions: a. Is there a way to use credit without paying interest? b. What is the cost of using credit? c. Assuming one decides to use a credit card for purchases, what is the smartest way to go about doing so? d. Other discoveries? Table B Forward Purchaes balance Interest paid ( % = ) Adjusted 0 0
7 Questions:. What did you learn about credit cards by doing these activities?. Prepare a brief report for your classmates explaining what you learned, so that everyone can be a smart consumer. Include your ideas about the following questions: a. Is there a way to use credit without paying interest? b. What is the cost of using credit? c. Assuming one decides to use a credit card for purchases, what is the smartest way to go about doing so? d. Other discoveries? 00 WGBH Educational Foundation. All rights reserved.
Finding Math All About Money: Does it Pay? (Teacher s Guide)
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