Search the California Content Standards

Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems. [Include quadratic.]

Standard:
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. *

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Interpret expressions for functions in terms of the situation they model.

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Apply quadratic functions to physical problems, such as the motion of an object under the force of gravity. CA *

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Extend the properties of exponents to rational exponents.

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Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.

Cluster:
Extend the properties of exponents to rational exponents.

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Rewrite expressions involving radicals and rational exponents using the properties of exponents.

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Use properties of rational and irrational numbers.

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Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

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Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]

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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. [Introductory; apply counting rules.]

Standard:
(+) 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. [Introductory; apply counting rules.]

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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. [Introductory; apply counting rules.]

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

Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.

Standard:
For exponential models, express as a logarithm the solution to ab^ct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. * [Logarithms as solutions for exponentials]