1. Math Review 1. Ashton is drawing a map of the trails at the Grand Canyon. If she wants 1 mile to be 2.5 inches on her map, then how many inches would represent 1/2 a mile? 2. 3900 + -4700 3. Alexis has a letter to send to Germany. The post office in Germany will deliver the package directly to her friends' apartment if it weighs less than 3 kilos. What is the most the package can weigh if 1 kilo is the same as 2.2 pounds? 4. Write an equation: 56 is the product of 20 and a number. 5. Write 1 1/8 as a decimal and a percent.

2. Math Review 1.25 in -800 6.6 lbs 56 = 20x 1. Ashton is drawing a map of the trails at the Grand Canyon. If she wants 1 mile to be 2.5 inches on her map, then how many inches would represent 1/2 a mile? 2. 3900 + -4700 3. Alexis has a letter to send to Germany. The post office in Germany will deliver the package directly to her friends' apartment if it weighs less than 3 kilos. What is the most the package can weigh if 1 kilo is the same as 2.2 pounds? 4. Write an equation: 56 is the product of 20 and a number. 5. Write 1 1/8 as a decimal and a percent. 1.125, 112.5%

3. I can analyze the relationship between tree-diagrams and the multiplication principle of counting (factorial method). Objective

4. Share with your neighbor... A pro and a con when using tree diagrams!

5. But..... Is there an easier way?!

6. Multiplication Principle of Counting If one event can occur in m ways, and another can occur in n ways, then the two events can occur in mn ways!

7. Now without a diagram... Rincon Vista’s math club has 5 officers: 3 boys and 2 girls. You are forming a committee of 2 officers: one boy and one girl. How many different committees are possible?

8. What to wear?! You have three shirts and two different pairs of slacks. How many outfits can you put together?

9. Mmm... Mmm Good! The school cafeteria has 4 different types of meats, and 3 types of bread to choose from. How many different sandwiches can you make?

10. Mmm... Mmm Good! The school cafeteria has 4 different types of meats, 3 types of bread, and 5 cheeses to choose from. How many different sandwiches can you make?

11. At a restaurant at Cedar Point, you have the choice of 8 different entrees, 2 different salads, 12 different drinks, and 6 different desserts. How many different dinners (one choice of each) can you choose? YEEEEEEEE! 8*2*12*6= 1152 different dinners

12. License Plates! Arizona Licenses plates have 3 #’s followed by 3 letters. How many different license plates are possible if digits and letters can be repeated? There are 10 choices for digits and 26 choices for letters. 10*10*10*26*26*26= 17,576,000 different plates

13. ...In your own words... Tell the person BEHIND you what the Multiplication Principle of Counting is!

14. Pop Quiz! A multiple choice test has 10 questions with 4 answers each. How many ways can you complete the test? 4*4*4*4*4*4*4*4*4*4 = 4 10 = 1,048,576

15. Vocabulary Combination:An arrangement of items or events in which order does not matter! Permutation: An arrangement of items or events in which order is important!

16. Solve It! How many different ways can you arrange three books on a shelf? COMBO or PERMUTATION?

17. How many plates are possible if digits and numbers cannot be repeated? 11,232,000 plates _ _ _

18. Find the number of permutations in the word math 4 x 3 x 2 x 1 = 24

19. Find the number of permutations in the words Anza Trail 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880 Find the number of permutations in 5 of the letters 9 x 8 x 7 x 6 x 5= 15,120

20. Closure Write down a way you will REMEMBER the difference between a combination and permutation. Come up with a REAL life example! Be prepared to share tomorrow!