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Mathematics Standards

Remove this criterion from the search Circles Remove this criterion from the search Expressing Geometric Properties with Equations Remove this criterion from the search Similarity, Right Triangles, and Trigonometry Remove this criterion from the search The Number System Remove this criterion from the search Trigonometric Functions
Remove this criterion from the search Math III Remove this criterion from the search Statistics and Probability (AP)


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Showing 1 - 8 of 8 Standards

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. *

Standard Identifier: G-GPE.3.1

Grade Range: 9–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math III
Conceptual Category: Geometry

Cluster:
Translate between the geometric description and the equation for a conic section.

Standard:
Given a quadratic equation of the form ax^2 + by^2 + cx + dy + e = 0, use the method for completing the square to put the equation into standard form; identify whether the graph of the equation is a circle, ellipse, parabola, or hyperbola and graph the equation. [In Algebra II, this standard addresses only circles and parabolas.] CA

Standard Identifier: G-SRT.10

Grade Range: 9–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Math III
Conceptual Category: Geometry

Cluster:
Apply trigonometry to general triangles.

Standard:
(+) Prove the Laws of Sines and Cosines and use them to solve problems.

Standard Identifier: G-SRT.11

Grade Range: 9–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Math III
Conceptual Category: Geometry

Cluster:
Apply trigonometry to general triangles.

Standard:
(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).

Standard Identifier: G-SRT.9

Grade Range: 9–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Math III
Conceptual Category: Geometry

Cluster:
Apply trigonometry to general triangles.

Standard:
(+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.

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