Unit 8: Probability
Lessons
Focus Standards
Learning Focus
Additional Resources
Lesson 1: Two-Way Streets
A Practice Understanding Task
Extends the organization and interpretation of data to two-way frequency tables. Students write conditional statements using relative frequency tables.
Organize two-variable categorical data.
Interpret two-way frequency tables.
What information does a two-way table reveal?
What information is highlighted when data is interpreted from relative frequency tables?
Lesson 2: Testing, Testing
A Develop Understanding Task
Introduces conditional probability by analyzing and making sense of data in a tree diagram.
Interpret medical testing results using conditional probability.
Use a tree diagram to find probabilities.
How do I describe probabilities where one event seems related to another?
Lesson 3: Favorite Flavors
A Solidify Understanding Task
Compares representations for finding probabilities with tree diagrams, two-way tables, and Venn diagrams, and uses probability statements supported by data to make arguments.
Make Venn diagrams, tree diagrams, and two-way tables for data.
Use representations to find probabilities.
What kind of probability statements are easiest to find with each representation?
A Solidify Understanding Task
Uses Venn diagrams to find probabilities of the union of two events, the intersection of two events and the complement of an event. Develops the Addition Rule for probability.
Use Venn diagrams to find probabilities.
What connections exist between the Venn diagram and probability notation?
Lesson 5: I Will Survive!
A Solidify Understanding Task
Formalizes the definition of conditional probability. Examines the meaning of independence using conditional probability.
Represent probabilities with Venn diagrams.
Use conditional probability to draw conclusions.
Understand the definition of conditional probability.
What does it mean for events to be independent?
How does the Venn diagram connect to probability statements?
Lesson 6: Declaring Independence
A Solidify Understanding Task
Examines independence of events using the conditional probability test for independence. Derives and uses the Multiplication Rule for independent events to find probabilities.
NC.M2.S-CP.3
NC.M2.S-CP.3.a
NC.M2.S-CP.3.b
NC.M2.S-CP.4
NC.M2.S-CP.5
NC.M2.S-CP.8
NC.M2.S-CP.6
Determine if two events are independent.
Find the probabilities of independent events.
Under what conditions is an event independent of another event?
How does knowing that events are independent help find probabilities?
A Practice Understanding Task
Practices determining the independence of events and finding probabilities by analyzing data from different representations.
NC.5.MD.1
NC.M2.S-CP.3,a,b
NC.M2.S-CP.4
NC.M2.S-CP.5
NC.M2.S-CP.6
NC.M2.S-CP.8
NC.M2.S-CP.1
NC.M2.S-CP.7
Determine if events are independent.
Use representations to find probabilities.
How do I determine if one event is independent of another event?