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Mathematics Standards

Remove this criterion from the search Circles Remove this criterion from the search Congruence Remove this criterion from the search Geometric Measurement and Dimension Remove this criterion from the search Interpreting Categorical and Quantitative Data Remove this criterion from the search Measurement and Data Remove this criterion from the search Number and Operations in Base Ten Remove this criterion from the search Quantities 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 Using Probability to Make Decisions
Remove this criterion from the search Calculus Remove this criterion from the search Math III


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Showing 1 - 10 of 11 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-GMD.4

Grade Range: 9–12
Domain: Geometric Measurement and Dimension
Discipline: Math III
Conceptual Category: Geometry

Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.

Standard:
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

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.

Standard Identifier: S-ID.4

Grade Range: 9–12
Domain: Interpreting Categorical and Quantitative Data
Discipline: Math III
Conceptual Category: Statistics and Probability

Cluster:
Summarize, represent, and interpret data on a single count or measurement variable.

Standard:
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. *

Standard Identifier: S-MD.6

Grade Range: 9–12
Domain: Using Probability to Make Decisions
Discipline: Math III
Conceptual Category: Statistics and Probability

Cluster:
Use probability to evaluate outcomes of decisions. [Include more complex situations.]

Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Showing 1 - 10 of 11 Standards

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