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Cronnelly/Bell Work Convert each percent into decimal and a fraction: 1)1.36% 2)254% 3)16.25% Convert each decimal into percent and a fraction: 7) 136.254.

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Presentation on theme: "Cronnelly/Bell Work Convert each percent into decimal and a fraction: 1)1.36% 2)254% 3)16.25% Convert each decimal into percent and a fraction: 7) 136.254."— Presentation transcript:

1 Cronnelly/Bell Work Convert each percent into decimal and a fraction: 1)1.36% 2)254% 3)16.25% Convert each decimal into percent and a fraction: 7) 136.254 8) 18.9 9) 0.675

2 Cronnelly/Bell Work Convert each percent into decimal and a fraction: 1)1.36%.0136; 136/10,000 2)254% 2.54; 254/100; 2 54/100 3)16.25%.1625; 1625/1000 Convert each decimal into percent and a fraction: 7) 136.254 13,625.4%; 136,254/1000; 136 254/1000 8) 18.9 1890%; 189/10; 18 9/10 9) 0.675 67.5%; 675/1000

3 Homework 1.1.4 ANSWERS 1-35. Median is 82 1-36: a. 84 inches b. 36 inches 1-37: a. b. c.c. d.

4 You have probably heard a weather forecaster say that the chance of rain tomorrow is 40%. Have you thought about what that means? Does it mean that it will rain tomorrow for sure? What is the chance that it will not rain? In today’s lesson, you will investigate the chance, or the probability, of something happening or not happening. As you do the activities, ask your team these questions: What is the probability of the event occurring? How can we record that probability?

5 Texting While Driving Increases Crash Risk by 20X By Chloe AlbanesiusChloe Albanesius July 28, 2009 01:49pm EST Running late because of traffic? Not sure what exit to take? It's probably best to wait until you're off the road to text someone about your predicament – texting while driving increases your chances of crashing by 20 times, according to a Tuesday study.Tuesday study Drivers take their eyes off the road for an average of 4.6 seconds when composing text messages. That might not seem like a long time, but cars going 55 miles per hour can travel the length of a football field in 4.6 seconds, and presumably hit many a pedestrian, vehicle, or highway divider in the process. "There is an alarming amount of misinformation and confusion regarding cell phone and texting use while behind the wheel of a vehicle," Dr. Tom Dingus, VTTI director, said in a statement. That misinformation, Dingus said, includes the notion that having a phone conversation is as distracting as dialing a phone or typing out a text message, or that using your cell phone in the car is akin to driving drunk. Earlier this month, The New York Times posted a previously unreleased 2003 study from the National Highway Traffic Safety Administration that suggested that all cell phone use – whether it be talking on the phone, listening to someone, writing a text message, or dialing – was equally as dangerous.2003 study "Limiting use to hands-free phones while driving will not solve the problem," the NHTS report said. "In either operational mode, we have found that the cognitive distraction is significant enough to degrade a drivers' performance." VTTI, however, found that the biggest factor of whether or not a crash will occur is "keeping your eyes on the road." Driving while texting increases your chance of crashing by 20 times, but dialing a cell phone increases the possibility of a crash by only 2.8 times, and talking or listening to a cell phone conversation increases risk by 1.3 times, the report said. Reaching for an object, meanwhile, ups your chances of crashing by 1.4 times. As a result, VTTI recommends that any activity that takes a driver's attention away from the road should always be avoided, and texting should be banned.

6 1-50. POSSIBLE OR IMPOSSIBLE? As a class, we will make lists of three different types of events: 1.Events that you think are possible but not certain to happen, 2.Events that certain to happen. 3.Events that would be impossible to happen. Then we will use our lists to complete the activities below: c. At the “Certain” end, write the events your team has decided are certain to happen. How could you label the possibility of these events occurring with a percentage? d. Along the line, write the events that you thought were possible. Place them along the line in order from closer to impossible, somewhere in the middle, or closer to certain.

7 1-51. GO FISH Mike wants to win a giant stuffed animal at the carnival. He decided to play the “Go Fish” game, which has three prizes: a giant stuffed animal, a smaller stuffed animal, and a plastic kazoo. The game is set up with a tank containing 1 green fish, 3 blue fish, and 6 yellow fish. To play, Mike must go fishing. The game is set up so that every time a player goes fishing, he or she will catch a fish. a. If all of the fish in the tank are green, how would you describe the probability of Mike’s winning a giant stuffed animal?

8 1-51. GO FISH Mike wants to win a giant stuffed animal at the carnival. He decided to play the “Go Fish” game, which has three prizes: a giant stuffed animal, a smaller stuffed animal, and a plastic kazoo. The game is set up with a tank containing 1 green fish, 3 blue fish, and 6 yellow fish. To play, Mike must go fishing. The game is set up so that every time a player goes fishing, he or she will catch a fish. b. The way the tank is set up (with 1 green, 3 blue, and 6 yellow fish), what are the chances that Mike will catch a black fish? c. Given the information in the problem, what percent of the time would you expect Mike to catch a green fish and win the giant stuffed animal? Be ready to explain your thinking.

9 1-52. In the game described in problem 1-51, you could expect Mike to win a giant stuffed animal 10% of the time. A percentage is one way to express the probability that a specific event will happen. You might also have said you expected Mike to win 1 out of every 10 attempts. So the probability that Mike will win is, because the 1 represents the number of desired outcomes (green fish that Mike can catch) and the 10 represents the number of possible outcomes (all the fish that Mike could catch). a. What is the probability that Mike will catch a blue fish? A yellow fish? Write each of these probabilities as a fraction and a percent. b. Probabilities such as the ones you found in part (a) are called theoretical probabilities because they are calculated mathematically based on what is expected. What is the theoretical probability of getting a fish that is green, blue, or yellow (that is, a fish that is any of those three colors)? How do your answers for this problem compare to the probabilities you considered in problem 1-50?

10 40% should be red. should be yellow. 30% should be blue. The rest should be green. 1-54. SPINNERS – THEORY vs. REALITY, Part One Your teacher will give your team a spinner. You will need to decide how to color the spinner so that it meets the following criteria: a. Which color is the most likely result of a spin? How do you know? b. Which color is the least likely result of a spin? How do you know? c. Work with your team to determine the theoretical probability of the spinner landing on each of the four colors (red, yellow, blue, and green). Express your answers as fractions and percents. d. What is the probability of the spinner landing on purple? Explain. e. What is the probability of the spinner landing on either red or blue?

11 1-55. SPINNERS – THEORY vs. REALITY, Part Two Now your team will use your new spinner to do an investigation. a. Each person in your team should spin the spinner 10 times while the other team members record the color resulting from each spin. b. Write the number of times the spinner landed on each color as the numerator of a fraction with the total number of spins as the denominator. c. Now combine your team’s data with the results from the rest of your classmates. Use the class data to write similar fractions as you did in part (b) for each color. d. Recall that the numbers you calculated in part (c) of problem 1-54 are theoretical probabilities, because you calculated these numbers (before actually spinning the spinner) to predict what you expected to happen. The numbers you found in your investigation (when you actually spun the spinner) are called experimental probabilities, because they are based on the results from an actual experiment or event. Both theoretical and experimental probabilities can be written as a percent, a fraction, or a decimal. i. Does it make sense that the theoretical probabilities and the experimental probabilities you calculated for the spinner might be different? Explain. ii. Does it make sense that the experimental probabilities that you found for the class are different from those found for just your team?

12 Exit Ticket 1-57. Joyce’s dad packs her lunch and always packs a yogurt. Joyce knows that there are five yogurts in the refrigerator: one raspberry, two strawberry, one blueberry, and one vanilla. Her dad usually reaches into the refrigerator and randomly grabs a yogurt. Which flavor is she most likely to have in her lunch today? What are her chances of finding a vanilla yogurt in her lunch bag? 1-59. Write “theoretical” or “experimental” to describe the probabilities for each of the following situations. a. The chance of getting tails when flipping a coin is. b. I flipped a coin eight times and got heads six times, so the probability is. My mom packed my lunch three of the past five days, so the probability of my mom packing my lunch is. The chance of winning the state lottery is 1 in 98,000,000. Based on mathematical models, the chance of rain today is 60%. Lena got three “hits” in her last seven times at bats, so her chance of getting a hit is.

13 Practice


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