HSS-CP.A.3

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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.3

## Understand 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.

8 Lesson(s)

Big Idea:

#### We can understand complex problems using simple models.

Standards:

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(10)

Resources
(11)

Reflections
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Big Idea:

#### With models and intuition we can check our thinking around a probability question.

Standards:

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(10)

Reflections
(1)

### 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:

#### Probability is a ratio between the outcome you want to reach and the total number of outcomes available.

Standards:

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(1)

Resources
(11)

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:

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(5)

Resources
(12)

Reflections
(1)

Common Core Math

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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