 Standard #: MAFS.912.S-CP.2.6

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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.

Cluster: Use the rules of probability to compute probabilities of compound events in a uniform probability model. (Algebra 2 - Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved

Related Courses

 Course Number1111 Course Title222 1200330: Algebra 2 (Specifically in versions: 2014 - 2015, 2015 and beyond (current)) 1200340: Algebra 2 Honors (Specifically in versions: 2014 - 2015, 2015 and beyond (current)) 1210300: Probability & Statistics with Applications Honors (Specifically in versions: 2014 - 2015, 2015 and beyond (current)) 1298310: Advanced Topics in Mathematics (formerly 129830A) (Specifically in versions: 2014 - 2015, 2015 and beyond (current)) 1200335: Algebra 2 for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2019 (course terminated))

Access Point

 Access Point Number Access Point Title MAFS.912.S-CP.2.AP.6a Using a two-way table, find the conditional probability of A given within the context of the model.

Teaching Idea

 Name Description Conditional Probability and Probability of Simultaneous Events This lesson is designed to further students' practice with probability as well as introduce them to conditional probability and probabilities of simultaneous independent events. The lesson provides links to discussions and activities related to conditional and simultaneous probabilities as well as suggested ways to integrate them into the lesson. Finally, this lesson provides links to follow-up lessons designed for use in succession with this one.

Lesson Plan

 Name Description Medical Testing This lesson unit is intended to help you assess how well students are able to:make sense of a real life situation and decide what math to apply to the problemunderstand and calculate the conditional probability of an event A, given an event B, and interpret the answer in terms of a modelrepresent events as a subset of a sample space using tables, tree diagrams, and Venn diagramsinterpret the results and communicate their reasoning clearly

Worksheet

 Name Description Replacement and Probability This lesson is designed to develop students' understanding of sampling with and without replacement and its effects on the probability of drawing a desired object. The lesson provides links to discussions and activities related to replacement and probability as well as suggested ways to work them into the lesson. Finally, the lesson provides links to follow-up lessons that are designed to be used in succession with the current one.

Assessment

 Name Description Sample 4 - High School Algebra 2 State Interim Assessment This is a State Interim Assessment for 9th-12th grade.

Text Resource

 Name Description The Logic of Drug Testing This informational text resource is intended to support reading in the content area. This article explores the reliability of drug tests for athletes, using mathematics. The author attempts to address this issue by relating drug tests to conditional probability. Throughout the text, various numbers that affect the calculation of a reliable probability are discussed. Numbers such as test sensitivity, test specificity, and weight of evidence are related to Bayes' theorem, which is ultimately used to calculate the conditional probability.

Student Resources

 Name Description The Titanic 1 This task asks students to calculate probabilities using information presented in a two-way frequency table. The Titanic 2 This task lets students explore the concepts of probability as a fraction of outcomes and using two-way tables of data. The Titanic 3 This problem solving task asks students to determine probabilities and draw conclusions about the survival rates on the Titanic by consulting a table of data.

Parent Resources

 Name Description The Titanic 1 This task asks students to calculate probabilities using information presented in a two-way frequency table. The Titanic 2 This task lets students explore the concepts of probability as a fraction of outcomes and using two-way tables of data. The Titanic 3 This problem solving task asks students to determine probabilities and draw conclusions about the survival rates on the Titanic by consulting a table of data.

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