# Five Question Mixed Review Five Question Mixed ReviewKEY

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Five Question Mixed Review

Five Question Mixed Review--KEY 1. (x + 3) 2. x 2 = 3 x = 3. 25 4. 9 x + 7 5. x+1 6. 5. Mean = 7. 5

Activator: What are the chances…? So, what’s in the bag?

Pie Graph

Basic Probability MM 1 D 1: a & b: Students will determine the numbers of outcomes related to a given event Apply the addition and multiplication principles of counting

Basic Probability: Key Vocabulary And Or Outcome Probability

Essential Question How do we use the counting principles of multiplication and addition?

Addition Counting Principle In words If the possibilities being counted can be divided into groups with no possibilities in common, then the total number of possibilities is the sum of the numbers of possibilities in each group. Multiplication Counting Principle If one event can occur in m ways and another event can occur in n ways, then the number of ways that both events can occur together is m times n.

Counting Principle Rules RULE: When items sequence are joined with sequence are joined the word “and” you with the word “and” always you always MULTIPLY! X x RULE: When items in a sequence are joined with the word “or” you always ADD! + Example: You go to buy a wallet for your uncle. You see four styles and each is in three colors. How many choices do you have? You have the choice to get a drink or a snack. There are six types of drinks and three types of snack. How many choices do you have? 4 x 3 = 12 6+3=9

Counting Principle Rules RULE: When items sequence are joined with sequence are joined the word “and” you with the word “and” always you always MULTIPLY! X x RULE: When items in a sequence are joined with the word “or” you always ADD! + Example: You go to buy a wallet for your uncle. You see four styles and each is in three colors. How many choices do you have? You have the choice to get a drink or a snack. There are six types of drinks and three types of snack. How many choices do you have? 4 x 3 = 12 6+3=9

GRAPHI ORGANIZER Counting Principle Rules RULE: When items sequence are joined with sequence are joined the word “___” you with the word “and” always you always _______! MULTIPLY! x RULE: When items in a sequence are joined with the word “___” you always _____! Example: You go to buy a wallet for your uncle. You see four styles and each is in three colors. How many choices do you have? ________ You have the choice to get a drink or a snack. There are six types of drinks and three types of snack. How many choices do you have?

Basic Counting Principle: Looking in the closet Suppose you have a black and white pair of pants and a plaid, striped, and polka dotted shirt. How many different outfits could you wear? Pass out manipulatives! 6

Making a chart White Pants Polka Dot Striped Plaid Black Pants Polka Dot Striped Plaid Notice that the numbers of each of the choices are multiplied.

Do you have to draw it out? No, you can just use the numbers! For example… How many different ice cream cones could you order if there were 3 different flavors of ice cream, 4 different sauces, and 2 different toppings? 24

How many different ice cream cones could you order if there were 3 different flavors of ice cream, 4 different sauces, and 2 different toppings? 24

Quick Check: Assessment Prompt Suppose you want to make a sandwich. There are three types of meat, two types of cheeses, and four condiments. How many total choices do you have?

THINK Why do restaurants have a limited menu?

Try this one. How many different lunches could you order if there were 4 different sandwiches, 3 different sides, and 4 different drinks? ______ 11 48 24

Suppose you wanted lunch and an ice cream cone. What would you do? REMEMBER: “and” means to 48 x 24 = 1152

Suppose you wanted lunch and an ice cream cone. What would you do? REMEMBER: “and” means to 48 x 24 = 1152

Quick Check: Assessment Prompt If you could choose a car from these colors: blue, red, black, white, and with either a hard top or convertible, how many different choices would you have? How would gathering this information help car retailers?

Suppose you wanted lunch or an ice cream cone. What would you do? 48 + 24 = 72

Suppose you wanted lunch or an ice cream sundae. What would you do? Remember: You are adding the ice cream cones to the list to choose between.

Suppose you wanted lunch or an ice cream sundae. What would you do? Panic is not an option! Remember: You are adding the ice cream cones to the list to choose between. What do I know? I know that or means to add. Now what?

We already worked each problem Separately, now let’s put them together! 48 choices + = 72 24 choices

Suppose you have \$1. 25 to buy a drink from the vending machine. There are 8 choices. OR you could go to the snack machine and for the same price, have a choice of 12 snacks. What is the probability you will choose a drink? KEY WORD ? =

When using the counting principle, the word "and" means to multiply. When using the counting principle, the word "or" means to add. +

Practice! 1. Choose a raisin, whole grain toast or apple muffin with milk or juice. 2. Choose one of 3 group projects and one of 4 individual projects. 3. Choose sneakers or dress shoes in white, black or blue. 4. Choose a small, medium, large or extra large drink with a hamburger or hot dog. Amended from Mathematics 1 Georgia Note taking Guide, Mc. Dougal Littell, page 354.

Practice!--KEY 1. Choose a raisin, whole grain toast or apple muffin with milk or juice. 6 choices 2. Choose one of 3 group projects and one of 4 individual projects. 12 choices 3. Choose sneakers or dress shoes in white, black or blue. 6 choices 4. Choose a small, medium, large or extra large drink with a hamburger or hot dog. 8 choices

Assessment Time! 1. Choose apple, blueberry, or cherry pie with juice, soda or milk. 2. Choose a hat, scarf, or gloves in gray , brown, or black. 3. Choose one of 4 essay questions and one of 5 extra credit questions. 4. You want to go to a movie, play or to Wild Adventures. You can go with your brother, cousin, or friend. You can go on Friday, Saturday, Sunday. How many different options do you have? 5. During the class election, you have a ballot that shows the candidates. Find the number of different ways to choose president, treasurer, and secretary. Amended from Georgia High School Mathematics I. Mc. Dougal Littell, page 340.

Assessment Time!--KEY 1. Choose apple, blueberry, pumpkin, or cherry pie with juice, soda or milk. 12 2. Choose a hat, scarf, or gloves in gray, brown, or black. 9 3. Choose one of 4 essay questions and one of 5 extra credit questions. 20 4. You want to go to a movie, play or to Wild Adventures. You can go with your brother, cousin, or friend. You can go on Friday, Saturday, Sunday. How many different options do you have? 27 5. During the class election, you have a ballot that shows the candidates. Find the number of different ways to choose president, treasurer, and secretary. 64 Georgia High School Mathematics 1. Mc. Dougal LIttell. I, page 340.

Extension! Develop your own counting principle problem. Have 2 classmates solve them. When you solve the problem, make sure you write your initials on the problem.

Slide 15 BACK

Slide 15 BACK

Team Manipulatives: Print & Reproduce