Search the California Content Standards

Cluster:
Analyze functions using different representations. [Focus on using key features to guide selection of appropriate type of model function.]

Standard:
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

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Analyze functions using different representations. [Focus on using key features to guide selection of appropriate type of model function.]

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Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

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Analyze functions using different representations. [Focus on using key features to guide selection of appropriate type of model function.]

Standard:
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

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Use probability to evaluate outcomes of decisions. [Include more complex situations.]

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(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *

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Use probability to evaluate outcomes of decisions. [Include more complex situations.]

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(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *

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Use probability to evaluate outcomes of decisions. [Include more complex situations.]

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(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *

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Use probability to evaluate outcomes of decisions. [Include more complex situations.]

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(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *

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Calculate expected values and use them to solve problems.

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(+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions. *

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Calculate expected values and use them to solve problems.

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(+) Calculate the expected value of a random variable; interpret it as the mean of the probability distribution. *

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Calculate expected values and use them to solve problems.

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(+) Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, and find the expected grade under various grading schemes.*