HSS-CP.A.2

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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.2

## Understand 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.

7 Lesson(s)

### 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
(11)

Resources
(19)

### Box and Whisker Spiral Lesson

8th Grade Math »
Unit: Statistical Spirals

8th Grade Math »
Unit: Statistical Spirals

Big Idea:

#### Students can understand a box and whisker plot by constructing it.

Standards:

Resources
(20)

Reflections
(1)

Big Idea:

#### Factorials, permutations and understanding independent and mutually exclusive events are critical to solving basic probability problems

Standards:

Favorites
(1)

Resources
(8)

Reflections
(1)

### Correlation Spiral Lesson

8th Grade Math »
Unit: Statistical Spirals

8th Grade Math »
Unit: Statistical Spirals

Big Idea:

#### The tighter packed the data, the better the correlation

Standards:

Favorites
(1)

Resources
(21)

Reflections
(1)

### Central Tendency Spiral Lesson

8th Grade Math »
Unit: Statistical Spirals

8th Grade Math »
Unit: Statistical Spirals

Big Idea:

#### We can use algebra to analyze central tendency questions

Standards:

Resources
(16)

Reflections
(1)

### Data Tables Spiral Lesson

8th Grade Math »
Unit: Statistical Spirals

8th Grade Math »
Unit: Statistical Spirals

Big Idea:

#### We can use histograms, bar graphs, cumulative histograms and bar graphs to make sense of data.

Standards:

Resources
(17)

Reflections
(1)

Big Idea:

#### The probability of an event changes based on the conditions connected to it.

Standards:

Favorites
(5)

Resources
(12)

Reflections
(1)

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HS Algebra

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