1 / 35

Five Question Mixed Review

Learn the rules of addition and multiplication counting principles in basic probability, and apply them to solve various problems efficiently. Understand key vocabulary for events and outcomes in probability math. Discover how to determine total possibilities through proper counting methods.

rgivens
Download Presentation

Five Question Mixed Review

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Five Question Mixed Review 1. 2. 3. 4. 5.

  2. Five Question Mixed Review--KEY • (x + 3)(x + 3) • x2 = 3 x = • 25 • 9x + 7 • x + 1 • 5. Mean = 7.5 1. 2. 3. 4. 5.

  3. Activator: What are the chances…? Goody Bag So, what’s in the bag?

  4. Pie Graph

  5. Basic Probability MM1D1: a & b: Students will determine the numbers of outcomes related to a given event Apply the addition and multiplication principles of counting

  6. Basic Probability: Key Vocabulary And Or Outcome Probability

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

  8. Addition Counting Principle In words If one event can occur inm ways and another event can occur in n ways, then the number of ways that both events can occur together is m times n. 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

  9. Counting Principle Rules and OR RULE: When items sequence are joined with the word “and” you always MULTIPLY! x RULE: When items in a sequence are joined with the word “or” you always ADD! + RULE: When items sequence are joined with the word “and” you always MULTIPLY! X Example: 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? 6 + 3 = 9 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? 4 x 3 = 12

  10. Counting Principle Rules and OR RULE: When items sequence are joined with the word “and” you always MULTIPLY! x RULE: When items in a sequence are joined with the word “or” you always ADD! + RULE: When items sequence are joined with the word “and” you always MULTIPLY! X Example: 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? 6 + 3 = 9 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? 4 x 3 = 12

  11. GRAPHI ORGANIZER Counting Principle Rules and OR RULE: When items sequence are joined with the word “and” you always MULTIPLY! x RULE: When items in a sequence are joined with the word “___” you always _____! RULE: When items sequence are joined with the word “___” you always _______! Example: 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? 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? _______________

  12. 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

  13. Making a chart Polka Dot Striped Plaid Polka Dot Striped Plaid White Pants Black Pants 3 choices Notice that the numbers of each of the choices are multiplied. 2 choices 2 x 3 choices = 6 total choices 3 choices 6 total choices

  14. 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? 3 4 2 = 24

  15. 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? 3 x 4 x 2 = 24 24

  16. 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?

  17. THINK Why do restaurants have a limited menu?

  18. 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

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

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

  21. 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?

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

  23. 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.

  24. 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?

  25. We already worked each problem Separately, now let’s put them together! Lunch Ice Cream Cone OR 48 choices + 24 choices = 72

  26. 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 ? OR =

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

  28. Practice! • 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 fromMathematics 1 Georgia Note taking Guide, McDougal Littell, page 354.

  29. Practice!--KEY • 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

  30. Choose apple, blueberry, or cherry pie with juice, soda or milk. Choose a hat, scarf, or gloves in gray ,brown, or black. 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. McDougal Littell, page 340. Assessment Time!

  31. Choose apple, blueberry, pumpkin, or cherry pie with juice, soda or milk. 12 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. McDougal LIttellI, page 340. Assessment Time!--KEY

  32. 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.

  33. WHOA! Did you forget the "and"? Slide 15 BACK

  34. EXCELLENT! Slide 15 BACK

  35. Team Manipulatives: Print & Reproduce

More Related