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WDYE? 3.1: Designing a Spinner to Find Probability Learning Target: I will determine the theoretical probabilities for a spinner. HW: Complete the WDYE Investigation 3.1 p. 4 and Correct with the Zaption video: WDYE 3.1 Warm Up:
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Warm-Up Question They all give him the SAME chance of going to bed at 11:00! Eleven o’clock covers ½ of each circle.
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11:00 and 9:00 are equally likely to occur Kalvin’s father is probably not likely to agree because he is more likely to go to bed later than 9:00. 1. Which time do you think is most likely to occur? 2. Is Kalvin’s father likely to agree to use this spinner? Explain why or why not.
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B. 1. Find the experimental probability that the pointer lands on 9, on 10, and on 11. 2. After how many spins did you decide to stop spinning? Explain why. 3. Suppose Kalvin spins the pointer 64 times. Based on your experiment, how many times can he expect to land on 9, 10, and 11?
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C.1. Find the theoretical probability that the pointer lands on 9, on 10, and on 11. Do your experimental probabilities match the theoretical probabilities? Explain what you notice. Suppose Kalvin spins the pointer 64 times. Based on your theoretical probabilities, how many times can he expect to land on 9, 10, and 11? Describe one way Kalvin’s father can design a spinner so that Kalvin is most likely to go to be at 9.
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D. The cooks at Kyla’s school make the spinners below to help them choose the lunch menu. They let the students take turns spinning. For parts (a)-(c), decide which spinner you would choose. Explain your reasoning. a. Your favorite lunch is pizza. b. Your favorite lunch is lasagna. c. Your favorite lunch is hot dogs. P (pizza) = P (lasagna) = P (hot dog) =
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WDYE? 3.1: Designing a Spinner to Find Probability Did I reach my Learning Target? I will determine the theoretical probabilities for a spinner. HW: Complete the WDYE Investigation 3.1 p. 4 and Correct with the Zaption video: WDYE 3.1
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Exit Ticket Find the theoretical probability of landing on A, B, C, D, E. Hint: What must you do first? Divide into equal size pieces! What is your common denominator? P(A) = 4/16 = 1/4 P(B) = 2/16 = 1/8 P(C) = 2/16 = 1/8 P(D) = 1/16 P(E) = 7/16
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