California Department of Education

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Mathematics Standards

Domain

Counting and Cardinality Linear, Quadratic, and Exponential Models Quantities The Number System Trigonometric Functions

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Conceptual Category

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Additional information about the Standards below:

* Indicates a modeling standard linking mathematics to everyday life, work, and decision-making.
(+) Indicates additional mathematics to prepare students for advanced courses.
Some standards are repeated in multiple higher mathematics courses; therefore instructional notes, which appear in brackets, indicate what is appropriate for study in this particular course.
Standards with California additions appear with a "CA" notation at the end.
Standards for Mathematical Practice
These Standards were approved by the CA State Board of Education in 2010, and updated in 2013.

Results

Showing 1 - 8 of 8 Standards

Standard Identifier: F-LE.4

Grade Range: 9–12

Domain: Linear, Quadratic, and Exponential Models

Discipline: Math III

Conceptual Category: Functions

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]

Standard Identifier: F-LE.4.1

Grade Range: 9–12

Domain: Linear, Quadratic, and Exponential Models

Discipline: Math III

Conceptual Category: Functions

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

Standard:
Prove simple laws of logarithms. CA *

Standard Identifier: F-LE.4.2

Grade Range: 9–12

Domain: Linear, Quadratic, and Exponential Models

Discipline: Math III

Conceptual Category: Functions

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 *

Standard Identifier: F-LE.4.3

Grade Range: 9–12

Domain: Linear, Quadratic, and Exponential Models

Discipline: Math III

Conceptual Category: Functions

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 *

Standard Identifier: F-TF.1

Grade Range: 9–12

Domain: Trigonometric Functions

Discipline: Math III

Conceptual Category: Functions

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.

Standard Identifier: F-TF.2

Grade Range: 9–12

Domain: Trigonometric Functions

Discipline: Math III

Conceptual Category: Functions

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.

Standard Identifier: F-TF.2.1

Grade Range: 9–12

Domain: Trigonometric Functions

Discipline: Math III

Conceptual Category: Functions

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

Standard:
Graph all 6 basic trigonometric functions. CA

Standard Identifier: F-TF.5

Grade Range: 9–12

Domain: Trigonometric Functions

Discipline: Math III

Conceptual Category: Functions

Cluster:
Model periodic phenomena with trigonometric functions.

Standard:
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. *

Questions: Curriculum Frameworks and Instructional Resources Division | CFIRD@cde.ca.gov | 916-319-0881