Warm Up

Use an inequality symbol to make each expression true

a. 5.43 x 104 ___________ 5, 430

b. 32 ÷ ¼ ___________ 32 ÷4

c. 0.72___________¾

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?

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.

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

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

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?

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?

Homework

Day 1 – Fundamental Counting Principle

Day 2 – Pizza Place Combination

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.