Units #2: Probability of Simple and Compound Events Learning Goal: Students will investigate chance processes and be able to develop, use, and evaluate probability models. Essential Question(s): 1. How do you determine the probability of an event and check for reasonableness? 2. What is the relationship between experimental and theoretical probabilities? Higher Order Questions: What does probability mean? How do you determine relative frequency? What is the relationship between experimental and theoretical probability? What is the relative frequency of_________________? How would you model probability of ______________? Why is ______________ an appropriate method? What kinds of questions can be answered by using proportional reasoning? When is a tree diagram beneficial? How can you solve that problem in a different way? Unit Breakdown: Introduction to Probability & Probability Scale EngageNY Module5: Lesson 1 (page 9) McDougal Littell Chapter 13.1 Estimating Probabilities through Data Collection EngageNY Module 5: Lesson 2 (page 24) McDougal Littell Chapter 13.1 Note Taking Guide Chapter 13( page 279- 291) EngageNY Module 5: Lesson 5 (page 55) McDougal Littell Chapter 13.1 Tree Diagrams EnageNY Module 5: Lesson 6 (page 64) McDougal Littell Chapter 13.2 Probability of Compound Events/ Counting Principle EngageNY Module 5: Lesson 7 (page 73) McDougal Littell Chapter 13.3 Chance Events with Equally Likely Outcomes EngageNY Module 5: Lesson 3/4 (page 35) McDougal Littell Chapter 13.1 Theoretical Probability vs. Estimated Probability EngageNY Module 5: Lesson 8 (page 73) Chance Events with Outcomes that are Not Equally Likely Simulations to Approximate a Probability EngageNY Module 5: Lesson 10/11 (page 73) Essential Vocabulary: Probability Event Random Outcomes Favorable Outcome Theoretical Probability Experimental Probability Relative Frequency Tree Diagram Sample Space Independent Event Dependent Event Compound Event Simulation Percent Uniform Daily Agenda: Monday Sept 8: 1. Introduction to probabilities 2. Spinner simulation to show how random events occur as independent events 3. Writing a probability and converting to a percent based on our outcomes 4. Explanation between theoretical and experimental probabilities 5. Exit ticket from Engage NY Lesson 1 Tuesday Sept 9: 1. Estimating our probability through data collection 2. Spinner activity recording favorable outcomes 3. Group discussions on probability exercise 4. Exit ticket from Engage NY Lesson 2 Wednesday Sept 10: 1. Discussion on Sample Space and outcomes 2. Experiment with Theoretical and Experimental probabilities 3. Exit ticket from Engage NY Lesson 3 Thursday Sept 11: 1. Comparison of equally likely and disjoint events 2. Exercises 1 and 2 page 56 Engage NY 3. Exit ticket from Engage NY Lesson Friday Sept 12: 1. Explanation of tree diagrams 2. McDougal Littell Ch. 13-2 3. Exercise 1 from Engage NY page 67 Monday Sept 15: 1. Explanation of Compound Events and the Counting Principle 2. Use of Tree Diagrams to calculate event probability 3. Exit ticket from Engage NY Lesson 7 page 79 Tuesday Sept 16: 1. The Difference Between Theoretical Probabilities and Estimated Probabilities 2. How to calculate relative frequency 3. Engage NY exercise page 87 Wednesday Sept 17: 1. Review Thursday Sept 18: 1. Review Friday Sept 19: 1. Quiz on Probabilities Engage NY page 141