1. April 16, 2010Math 132: Foundations of Mathematics 8.6 Homework Solutions Annual % Rate: 7.0% Amount of Mortgage: $200,000 # of Monthly Payments: 240 Monthly payment: $1550 Term: Years 20, Months 0 Payment NumberInterest PaymentPrincipal PaymentBalance of Loan 1$1166.67$383.33$199,616.67 2$1164.43$385.57$199,231.10 3$1162.18$387.82$198,843.28 4$1159.92$390.08$198,453.20

2. April 16, 2010Math 132: Foundations of Mathematics Amy Lewis Math Specialist IU1 Center for STEM Education

3. April 16, 2010Math 132: Foundations of Mathematics 11.1 The Fundamental Counting Principle Use the Fundamental Counting Principal to determine the number of possible outcomes in a given situation.

4. April 16, 2010Math 132: Foundations of Mathematics The Fundamental Counting Principle It’s Friday, and you’re tired. You’re out of laundry, but you’ve go to get dressed for work nonetheless. –You have 2 pairs of pants to choose from. –You have 3 different shirts to choose from. How many different outfits could you wear to work today? Show how you know!

5. April 16, 2010Math 132: Foundations of Mathematics The Fundamental Counting Principle (Part 1) If you can choose one item from a group of M items and a second item from a group of N items, then the total number of two-item choices is M·N. A restaurant offers 10 appetizers and 15 main courses. In how many ways can you order a two-course meal?

6. April 16, 2010Math 132: Foundations of Mathematics The Fundamental Counting Principle (Part 1) What if the number of appetizers and main courses each go up by 2? What if there are 6 dessert options? In how many ways can you order a three- course meal?

7. April 16, 2010Math 132: Foundations of Mathematics The Fundamental Counting Principle (Part 2) The number of ways in which a series of successive things can occur is found by multiplying the number of ways in which each thing can occur. For example, if you own 20 pairs of pants, 30 shirts, and 12 pairs of shoes, you have 20·30·12 = 7200 choices for your wardrobe.

8. April 16, 2010Math 132: Foundations of Mathematics Multiple Choice Test You take a multiple choice test that has 15 questions. Each question has 3 answer choices with 1 correct answer. In how many ways can you answer the questions? 14,348,907! How many perfect scores are there on the test? What’s the probability of getting a perfect score by just guessing?

9. April 16, 2010Math 132: Foundations of Mathematics Zip Codes How many possible zip codes exist? How many more were created when they switched to a 9-digit zip code?

10. April 16, 2010Math 132: Foundations of Mathematics Radio Stations How many different four-letter radio station call letters can be formed if the first letter must be a W or K?

11. April 16, 2010Math 132: Foundations of Mathematics Telephone Numbers How many 10-digit phone numbers exist?

12. April 16, 2010Math 132: Foundations of Mathematics Homework Finish your project! –Teachers Notes: How are you going to facilitate this lesson? What questions are you going to ask students? What instructional strategies are you going to use? Next Session: Monday, April 19