Search the California Content Standards

Cluster:
Analyze functions using different representations. [Linear and exponential]

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. [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:
Interpret the structure of expressions. [Polynomial and rational]

Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret parts of an expression, such as terms, factors, and coefficients. *

Cluster:
Interpret the structure of expressions. [Polynomial and rational]

Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret parts of an expression, such as terms, factors, and coefficients. *

Cluster:
Interpret the structure of expressions. [Polynomial and rational]

Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1 + r)^n as the product of P and a factor not depending on P. *