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Warm Up Use an inequality symbol to make each expression true a. 5.43 x 10 4 ___________ 5, 430 b. 32 ÷ ¼ ___________ 32 ÷4 c. 0.72___________¾

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Warm Up Construct a tree diagram of the following ice cream choices: You can have vanilla, chocolate, or strawberry ice cream and you can have either hot fudge or caramel as a topping. What is the probability that your ice cream will have hot fudge on it?

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Ch 8-1C Count Outcomes pg 440 & Ch 8-1D Permutations pg 444 Objectives Use multiplication to count outcomes and find probabilities Find the number of permutations of a set of objects and find probabilities CCSSM 7.SP.C.8 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulations. 7.SP.C.8a Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the event occurs.

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Vocabulary Fundamental Counting Principle: uses multiplication of the number of ways each event in an experiment can occur to find the number of possible outcomes in a sample space Permutation: an arrangement, or listing, of objects in which order is important

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Direct Instruction a. Find the total number of outcomes when a coin is tossed an a number cube is rolled b. Find the total number of outcomes when choosing from bike helmets that come in three colors and two styles c. Tossing a quarter, a dime, and a nickel

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Direct Instruction d. In how many ways can the starting six players of a volleyball team stand in a row for a picture? e. How many permutations are possible of the letters in the words friend? f. A garage door has 5 digits. If no digit is repeated, how many codes are possible?

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Guided Practice g. A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there? h. How many ways can 5 paintings be line up on a wall? i. Rob has 4 shirts, 3 pairs of pants, and 2 pairs of shoes that all coordinate. How many outfits can you put together? j. Miss G loves to eat salad. How many salads can she put together if she can pick out one type of lettuce from 2 choices, one vegetable from 4 choices and one dressing from 7 choices?

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Homework Day 1 – Fundamental Counting Principle Day 2 – Pizza Place Combination

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Exit Question Day 1 – In how many ways can 6 bicycles be parked in a row? Day 2 – You are buying a sweater from the store. You have to choose a size, color, and style. You can choose between Small, Medium, Large for size, blue, pink, red, brown for color, and cardigan or v-neck for style.

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