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Common Core: Math
Subject: High School Precalculus and Advanced Topics
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 Student Outcomes Students use probability concepts to make decisions in a variety of contexts.

 Student Outcomes Students use probability concepts to make decisions in a variety of contexts.

 Student Outcomes Students use probability to learn what it means for a game to be fair. Students determine whether or not a game is fair. Students determine what is needed to make fair an unfair game...

 Student Outcomes Students use probabilities to make fair decisions (e.g., drawing by lots, using a randomnumber generator).

 Student Outcomes Students calculate expected values. Students make rational decisions based on calculated expected values.

 Student Outcomes Students use expected pay off to compare strategies for a simple game of chance.

 Student Outcomes Students analyze simple games of chance. Students calculate expected pay off for simple games of chance. Students interpret expected pay off in context.

 Topic C is a capstone topic for this module, where students use what they have learned about probability and expected value to analyze strategies and make decisions in a variety of contexts (S.MD.B....

 Student Outcomes Students use empirical data to estimate probabilities associated with a discrete random variable. Students interpret probabilities in context.

 Student Outcomes Students use empirical data to estimate probabilities associated with a discrete random variable. Students interpret probabilities in context.

 Student Outcomes Given a description of a discrete random variable, students determine the probability distribution of that variable. Students interpret probabilities in context.

 Student Outcomes Given a description of a discrete random variable, students determine the probability distribution of that variable.

 Student Outcomes Students interpret expected value in context.

 Student Outcomes Students calculate the expected value of a discrete random variable.

 In this topic, students first distinguish between discrete and continuous random variables and then focus on probability distributions for discrete random variables. In the early lessons of this...

 Student Outcomes Given the probability distribution of a discrete random variable in table or graphical form, students describe the longrun behavior of the random variable. Given a discrete...

 Student Outcomes Students distinguish between discrete random variables and continuous random variables. Given the probability distribution for a discrete random variable in table or graphical form,...

 Student Outcomes Students distinguish between situations involving combinations and situations involving permutations. Students use permutations and combinations to calculate probabilities. Students...

 Student Outcomes Students calculate the number of different combinations of items selected from a set of distinct items.

 Student Outcomes Students use the fundamental counting principle to determine the number of different possible outcomes for a chance experiment consisting of a sequence of steps. Students calculate...

 Student Outcomes Students use the general multiplication rule to calculate the probability of the intersection of two events. Students interpret probabilities in context.

 In this topic, students extend their understanding of probability, building on work from Grade 11. The multiplication rule for independent events introduced in Grade 11 is generalized to a rule that...

 Student Outcomes Students model situations using trigonometric functions and will apply inverse trigonometric functions to solve problems in modeling contexts.

 Student Outcomes Students use inverse trigonometric functions to solve realworld problems addressing best viewing angles.