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Friday 15, January 2016 Notebook Quiz 1- 10 minutes.

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Presentation on theme: "Friday 15, January 2016 Notebook Quiz 1- 10 minutes."— Presentation transcript:

1 Friday 15, January 2016 Notebook Quiz 1- 10 minutes

2 Notebooks Entries Are: In pencil Labeled with the date Labeled with the entry number Labeled with a proper title Written very neatly Clearly legible Followed by a horizontal line to separate entries on a single page Written so as to maximize the use of each page Representative of the student’s best effort Complete

3 Quiet WorkStand & Deliver Open Discussion Team Work THE CURRENT CLASSROOM “MODE”

4 Entry 17– Lesson Objective We will use a computer simulation to find experimental probabilities of complex compound probabilities HOW WILL I BE ASSESSED? Quiz Friday with at least one of the problems from today on it EXACTLY AS IS HW tonight with 3 problems, at least 1 of which will also be on Friday’s quiz Chapter test where I will have to simplify algebraic expressions

5 Entry 18 - Word Wall When the mathematics becomes too complicated to figure out the theoretical probability of certain events, statisticians often use computer simulations instead.

6 Quiet WorkStand & Deliver Open Discussion Team Work THE CURRENT CLASSROOM “MODE”

7 DURING OPEN DISCUSSION… I contribute my ideas to class discussion. I listen to others when they are speaking. I wait for the appropriate time to contribute my ideas. I am polite in my interactions with other students and the teacher.

8 Entry 19 – Problem 5-34 RANDOM NUMBER GENERATOR Imagine a random number generator that produces numbers from 1 to 20. In each game below, if the stated outcome happens, Player X wins. If it does not, then Player Y wins. Game 1: A prime number = Player X wins Game 2: An even number = Player X wins Game 3: A number not divisible by three = Player X wins

9 Problem 5-34 continue… A. In each case, what is the theoretical probability that Player X wins? That Player Y wins? Decide whether each game above is fair. B. In which of the three games is Player X most likely to win? Why? C. In Game 1, the prime number game, if you play 40 times, how many times would you expect Player X to win? What if you played 50 times?

10 Quiet WorkStand & Deliver Open Discussion Team Work THE CURRENT CLASSROOM “MODE”

11 ENTRY 24 - CLASS DATA

12 ENTRY 24 - CLASS DATA rand(1,20,10) Obtain a random number generator from your teacher and set it up to generate integers from 1 to 20. Play the prime number game (Game 1) ten times. Start by deciding who will be Player X and who will be Player Y. Record who wins each time you play.

13 Quiet WorkStand & Deliver Open Discussion Team Work THE CURRENT CLASSROOM “MODE”

14 Entry 25 – Compare and Contrast How did the experimental and theoretical probabilities of Player X’s winning from Entry 17 part (a) and Entry 18 compare?

15 Quiet WorkStand & Deliver Open Discussion Team Work THE CURRENT CLASSROOM “MODE”

16 Entry 26 – Problem 5-35 Janelle is going to babysit her nephew all day five times this summer. She had the idea that one way to entertain him is to walk to McBurger’s for a Kids Meal for lunch each time. The Kids Meal comes packed randomly with one of three possible action figures. Janelle would like to know the probability that they get all three figures in five trips. P(Nephew get all three figures in 5 trips) = randInt(1, 3, 5)

17 Problem 5-35 continue… A. Call the action figures #1, #2, and #3. Use the random number generator to simulate five trips to McBurger’s. Did you get all three action figures? B. Simulate another five trips to McBurger’s. Did you get all three action figures this time? YesNo

18 Problem 5-35 continue… B. Do the simulation at least 20 times (that is, 20 sets of 5 random numbers), keeping track of how many times you got all three action figures in five tries, and how many times you did not. C. Use your results to estimate the probability of getting all three action figures in 5 trips. Should Janelle be worried? YesNo

19 Quiet WorkStand & Deliver Open Discussion Team Work THE CURRENT CLASSROOM “MODE”

20 Entry 27- Closure How could Janelle get an even more accurate estimation of the probability?

21 Entry 28: Homework Problems 5-38 through 5-42 Let’s look through them together to see if we have any questions before you work independently at home Remember your quiz Friday will be about 50% problems from your homework

22 END OF CLASS 3 minute warning from class leader Planner check by class leader (homework must be recorded for each class period today) SECURE YOUR GEAR Class, ATTENTION Dismissal by group


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