Search the California Content Standards

Cluster:
Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]

Standard:
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. *

Cluster:
Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]

Standard:
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. *

Cluster:
Analyze functions using different representations. [Include rational and radical; 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 square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. *

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:
Apply geometric concepts in modeling situations.

Standard:
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder). *

Cluster:
Apply geometric concepts in modeling situations.

Standard:
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot). *

Cluster:
Apply geometric concepts in modeling situations.

Standard:
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). *