Search the California Content Standards

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

Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. *

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

Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Recognize situations in which one quantity changes at a constant rate per unit interval relative to another. *

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

Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another. *

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

Standard:
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). *

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

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. *

Cluster:
Interpret expressions for functions in terms of the situation they model. [Linear and exponential of form f(x) = b^x + k]

Standard:
Interpret the parameters in a linear or exponential function in terms of a context. *

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). *

Cluster:
Perform arithmetic operations on polynomials. [Beyond quadratic]

Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.