Units #2: Probability of Simple and Compound Events Learning

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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
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