HSS-CP.A.1

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- HSS-CP.A.5Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. For example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer.
- HSS-CP.A.3Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.
- HSS-CP.A.4Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results.
- HSS-CP.A.1Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).
- HSS-CP.A.2Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

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## HSS-CP.A.1

## Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).

7 Lesson(s)

### Union and Intersection

8th Grade Math »
Unit: Sets, Subsets and the Universe

8th Grade Math »
Unit: Sets, Subsets and the Universe

Big Idea:

#### Students need a solid understanding of the symbology and language of union and intersection.

Standards:

Favorites
(1)

Resources
(10)

Reflections
(1)

### Counting Problems, Combinations and Permutations

12th Grade Math »
Unit: Statistics: Using Probability to Make Decisions

12th Grade Math »
Unit: Statistics: Using Probability to Make Decisions

Big Idea:

#### Why do combinations and permutations exist? To help us count all the possibilities of what might happen!

Standards:

Favorites
(10)

Resources
(19)

### Probability Distributions and Expected Value

12th Grade Math »
Unit: Statistics: Using Probability to Make Decisions

12th Grade Math »
Unit: Statistics: Using Probability to Make Decisions

Big Idea:

#### As the semester nears its end, we make beautiful graphs, and briefly consider some deeper ideas that students might see in their future study of statistics.

Standards:

Favorites
(2)

Resources
(33)

### Set Builder Notation

8th Grade Math »
Unit: Sets, Subsets and the Universe

8th Grade Math »
Unit: Sets, Subsets and the Universe

Big Idea:

#### Students can make sense of the types of values a variable has through set notation.

Standards:

Favorites
(1)

Resources
(14)

Reflections
(2)

### Venn Diagrams

8th Grade Math »
Unit: Sets, Subsets and the Universe

8th Grade Math »
Unit: Sets, Subsets and the Universe

Big Idea:

#### We can represent the many relationships and connections between sets with a Venn Diagram

Standards:

Resources
(10)

Reflections
(1)

### Subsets

8th Grade Math »
Unit: Sets, Subsets and the Universe

8th Grade Math »
Unit: Sets, Subsets and the Universe

Big Idea:

#### An intuitive idea of a subset is accessible to all students.

Standards:

Resources
(13)

Reflections
(1)

### Complements

8th Grade Math »
Unit: Sets, Subsets and the Universe

8th Grade Math »
Unit: Sets, Subsets and the Universe

Big Idea:

#### Complements of a set represent everything that is not in the set.

Standards:

Resources
(15)

Reflections
(2)

Common Core Math

### Kindergarten

### First Grade

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### HS Geometry

### Kindergarten

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### Sixth Grade

### Seventh Grade

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### Ninth and Tenth Grade

### Kindergarten

### First grade

### Second grade

### Third Grade

### Fourth grade

### Fifth grade

### Middle School

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Kindergarten

First grade

Second grade

Third Grade

Fourth grade

Fifth grade

Middle School