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

April 16, 2010 Math 132: Foundations of Mathematics

8.6 Homework SolutionsAnnual % Rate: 7.0%Amount of Mortgage: $200,000# of Monthly Payments: 240

Monthly payment: $1550Term: Years 20, Months 0

Payment Number Interest Payment Principal Payment Balance of Loan

1 $1166.67 $383.33 $199,616.672 $1164.43 $385.57 $199,231.103 $1162.18 $387.82 $198,843.284 $1159.92 $390.08 $198,453.20


Math 132:Math 132:Foundations of MathematicsFoundations of Mathematics

Amy LewisMath Specialist

IU1 Center for STEM Education


11.1 The Fundamental Counting Principle

• Use the Fundamental Counting Principal to determine the number of possible outcomes in a given situation.


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!


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?



• 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?



• 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 = 7200choices for your wardrobe.


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?


Zip Codes

• How many possible zip codes exist?

• How many more were created when they switched to a 9-digit zip code?


Radio Stations

• How many different four-letter radio station call letters can be formed if the first letter must be a W or K?


Telephone Numbers

• How many 10-digit phone numbers exist?


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

Documents

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