Geo+Unit+8

1. Make sense of problems and perseveres in solving them. 2. Reasons abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity and repeated reasoning. || Remembering Understanding Applying Analyzing Evaluating Creating || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Learning Target/Task Analysis**===
 * ===**Common Core Standard(s)**===
 * S-CP.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”).
 * S-CP.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.
 * S-CP.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//.
 * S-CP.4**. Construct 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.//
 * S-CP.5.** Recognize 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.//
 * S-CP.6**. Find the conditional probability of //A// given //B// as the fraction of //B//’s outcomes that also belong to //A//, and interpret the answer in terms of the model.
 * S-CP.7**. Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model.
 * S-CP.8**. (+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model.
 * S-CP.9**. (+) Use permutations and combinations to compute probabilities of compound events and solve problems.
 * S-MD.6.** (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).
 * S-MD.7.** (+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Anchor Standard/Mathematical Practice(s)**===
 * ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Information Technology Standard**=== || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Revised Bloom's Level of thinking**===

‍‍‍‍‍‍**I can...**

 * Define a sample space and events within the sample space
 * Identify subsets from a sample space
 * Identify two events as independent or not
 * Define and calculate conditional probability
 * Construct and interpret two way frequency tables of data
 * Recognize and explain the concepts of independence and conditional probability in everyday situations
 * Calculate and interpret conditional probability
 * Identify two events as disjoint (mutually exclusive)
 * Calculate probability using the General Multiplication Rule
 * Use permutations and combinations to compute probabilities of compound events and solve problems
 * Make decisions based on expected values
 * Use probabilities to make fair decisions

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍===

**Essential Vocabulary**
conditional probability, independence, unions, intersections, complements, two way frequency table, compound event, addition rule, multiplication rule, fair decisions

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Sample Assessments**=== ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Differentiation**===

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Instructional Resources**===

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Notes and Additional Information**===