Skowhegan Area High School
 Topics Introduction Random Simulation Models Independent Events Law of Large Numbers

 Simulation Models Math I Unit 7 Unit Overview: The “Simulation Models” unit introduces students to simulation and to the idea of probability distributions. Important probabilistic concepts explored include the Law of Large Numbers, the geometric distribution, the collector’s problem, and the idea of independent events. Simulation is the modeling of a probabilistic situation using random devices such as coins, spinners, cards, tables of random digits, or computers. Simulation is useful throughout instruction on probability. Setting up a simulation helps students clarify their assumptions about such things as whether trials are independent. Simulation helps develop student’s intuition about probabilistic events. And, perhaps most importantly, students who have been introduced to simulation have a feeling of control over probability. They know that they can get the answer to any probability problem that arises. (Teachers Book; Math 1 Part B, Unit 7. Pg T483) Objectives: • To design and carry out simulations in order to estimate answers to questions about probability • To use the law of Large Numbers to understand situations involving chance • To use tables of random digits in order o perform simulations and to understand some properties of random digits • To understand the concept of a probability distribution, how an approximate probability distribution can be constructed using simulation and used to understand situations involving chance. (Teachers Book; Math 1 Part B, Unit 7. Pg T483) Maine Learning Results D1, D2