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:
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. * Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. *

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

Standard:
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. * Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. *

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.

Cluster:
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).

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]

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

Standard:
Prove simple laws of logarithms. CA *

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

Standard:
Use the definition of logarithms to translate between logarithms in any base. CA *

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

Standard:
Understand and use the properties of logarithms to simplify logarithmic numeric expressions and to identify their approximate values. CA *

Cluster:
Extend the domain of trigonometric functions using the unit circle.

Standard:
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

Cluster:
Extend the domain of trigonometric functions using the unit circle.

Standard:
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.