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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.
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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%
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I can analyze the relationship between tree-diagrams and the multiplication principle of counting (factorial method). Objective
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Share with your neighbor... A pro and a con when using tree diagrams!
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But..... Is there an easier way?!
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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!
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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?
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What to wear?! You have three shirts and two different pairs of slacks. How many outfits can you put together?
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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?
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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?
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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
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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
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...In your own words... Tell the person BEHIND you what the Multiplication Principle of Counting is!
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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
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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!
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Solve It! How many different ways can you arrange three books on a shelf? COMBO or PERMUTATION?
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How many plates are possible if digits and numbers cannot be repeated? 11,232,000 plates _ _ _
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Find the number of permutations in the word math 4 x 3 x 2 x 1 = 24
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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
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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!
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