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Warm-Up

Warm-Up. If ice cream sundaes come in 5 flavors (vanilla, strawberry, chocolate, butter pecan, fudge ripple) with 4 possible toppings (hot fudge, nuts, cherries, butterscotch), how many different sundaes can be made with one flavor of ice cream and one topping?. Unit 5 Chances of Winning.

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Warm-Up

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  1. Warm-Up If ice cream sundaes come in 5 flavors (vanilla, strawberry, chocolate, butter pecan, fudge ripple) with 4 possible toppings (hot fudge, nuts, cherries, butterscotch), how many different sundaes can be made with one flavor of ice cream and one topping?

  2. Unit 5 Chances of Winning Concept 1 Outcomes of a Given Event Day 1

  3. Standards MA1D1 Students will determine the number of outcomes related to a given event. • Apply the addition and multiplication principles of counting • Calculate and use simple permutations and combinations

  4. Essential Question How do you determine the outcomes for a given event?

  5. Key Terms • Addition Principle of Counting • Multiplication Principle of Counting

  6. Fundamental Counting Principle-   It will allow us to count the number of ways a task can occur given a series of events.  Basically you multiply the number of possibilities each event of the task can occur.   It is like multiplying the dimensions of it.

  7. Warm-Up Discussion • How many flavors of ice cream were there? • How many choices of toppings were there? • How many different outcomes are possible?

  8. Practice • 1) Thomas goes to a Mc Donalds' restaurant and chooses to create his own burger. He has 2 different kinds of cheese, 3 different breads, and 3 different sauces he can choose from, but he can only choose one of each category. How many different ways can he create this burger? • 2) Diane is ordering pizza for her family. There are 4 different possible sizes of the pizza. Also, she has to choose one of 5 toppings to place on the pizza and one of 3 different types of cheese for the pizza. In addition, she must choose one of 3 different kinds of crust. How many different ways can she have her pizza?

  9. Addition Counting Principle • You decide that you are kind of hungry you can choose from a hamburger or chicken sandwich with the all the toppings or none, but you don’t have enough $ for a sandwich and ice cream. • How does that change the number of outcomes (choices) for this event?

  10. Addition Counting Principle

  11. Example of Addition Counting Principle

  12. Multiplication Counting Principle • You decide that you are kind of hungry you can choose from a hamburger or chicken sandwich with the all the toppings or none. You don’t have enough $ for a sandwich and ice cream, but your friend said he would spot you so you can get both? • How does that change the number of outcomes (choices) for this event?

  13. Multiplication Counting Principle • If a total event can be sub-divided into two or more independent sub-events, then the number of ways in which the total event can be accomplished is given by the product of the number of ways in which each sub-event can be accomplished.

  14. Example

  15. Summary and Closure Do Graphic Organizer #1 and Graphic Organizer #2 Do Math 1 Text book page 341 1-14

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