Search the California Content Standards

Cluster:
Write expressions in equivalent forms to solve problems. [Quadratic and exponential]

Standard:
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15^t can be rewritten as (1.15^1/12)^12t ≈ 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.*

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

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. * 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.

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.

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:
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.

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.

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. *