Welcome to Math 30-3, week 1! My name is Geoff Rosenstein and I will be your teacher in Cyberhigh. Please follow the instructions below to complete your lessons and practice for the first week of class. If you have any questions, don’t hesitate to email me at geoff.rosenstein@hfcrd.ab.ca and I can email you an answer or we can arrange a meeting (online or in person) to sort out any problems. Thanks very much, and God bless! The below text questions are to allow you to test your own understanding of each topic. Upon completion of each set of questions, please check your answers to ensure you have done them correctly. Mr. R Ok, let’s get started… TOPIC 1: ACCURACY AND PRECISION First, to prepare you to answer the first set of questions, watch the following video: http://www.youtube.com/watch?v=5APhVxCEPFs Then review the sample questions from the text on pg. 6 – 12. When you feel you have an understanding of what “accuracy” and “precision” are, answer the following questions: 1-4 on page 13 & 7 on page 14. Then, read the page on “tolerance” (pg. 15 of your textbook). When you are done, answer questions 1 and 5 on pg. 16. As a review of precision and accuracy, test your understanding on pg. 18 (1, 5, 8). TOPIC 2: PROBABILITY AND ODDS To start off with, let’s learn about odds and probability. They are similar concepts, but have a subtle difference. Watch the following video to understand the difference: http://www.youtube.com/watch?v=XllKz2cX73Q The important thing to note is that when you are calculating probability, you take the number of favorable outcomes (what you are looking for), and compare it to the total number of outcomes. When you are calculating odds, you take the number of favorable outcomes and compare it to all the other outcomes. For example, the probability of rolling a 3 on a six-sided di is 1/6. The 1 comes from the fact that there is one 3 on the di, and the 6 comes from the fact that there are 6 possible outcomes. On the other hand, the odds of rolling a 3 on a six-sided di is 1/5. The 1 once again comes from the fact that there is one 3 on the di, and the 5 comes from the fact that there are 5 other possible outcomes (which would be rolling a 1, 2, 4, 5 or 6). Try questions 1-3 on page 27 to test your understanding of calculating odds. To get a basic understanding of basic probability, first watch the following video: https://www.khanacademy.org/math/probability/independent-dependentprobability/basic_probability/v/basic-probability This video should help you familiarize yourself with calculating probability of a single event. Once you understand how to calculate probability of one event, you need to understand how to calculate the probability of more than one event. Watch the following lesson to help you understand how. Stop the video at 6 minutes and answer the first set of questions. http://www.youtube.com/watch?v=-FfC4EVwKt0 Stop the video at 6 minutes and answer questions 4 & 5 on pg. 27. Then try questions 1 & 2 on pg. 28. Continue watching the video at this point. It will be a preview of some of the material you will be completing in the next few chapters of your text. Try to follow along to the examples in the video. TOPIC 3: THEORETICAL AND EXPERIMENTAL PROBABILITY In the previous chapter, you have been calculating theoretical probability. In other words, you are using mathematical theory to determine probability. There is another type of probability called experimental probability. This type of probability is determined by experiments. Read over pg. 30 to 32 to reinforce this concept. Then, try the experiment on p. 33 (#2) to practice experimental probability. Finally, it’s time to review all the skills that you learnt this chapter. You may want to look back at your old work or review old lessons as you do this. If you need any help, don’t hesitate to email me and I can email you help, or we can set up a meeting online or in person. REVIEW: p. 54-55 (all). (If you feel you need more practice, you may also complete p. 56 and 57.) CHAPTER PROJECT: Complete the Probability Project that was attached to this email.