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Mathematics Standards

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Showing 71 - 80 of 97 Standards

Standard Identifier: 8.G.6

Grade: 8
Domain: Geometry

Cluster:
Understand and apply the Pythagorean Theorem.

Standard:
Explain a proof of the Pythagorean Theorem and its converse.

Standard Identifier: 8.G.7

Grade: 8
Domain: Geometry

Cluster:
Understand and apply the Pythagorean Theorem.

Standard:
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

Standard Identifier: 8.G.8

Grade: 8
Domain: Geometry

Cluster:
Understand and apply the Pythagorean Theorem.

Standard:
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Standard Identifier: 8.G.9

Grade: 8
Domain: Geometry

Cluster:
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Standard:
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

Standard Identifier: F-TF.8

Grade Range: 8–12
Domain: Trigonometric Functions
Discipline: Math II
Conceptual Category: Functions

Cluster:
Prove and apply trigonometric identities.

Standard:
Prove the Pythagorean identity sin^2(θ ) + cos^2(θ ) = 1 and use it to find sin(θ ), cos(θ ), or tan(θ ) given sin(θ ), cos(θ ), or tan(θ ) and the quadrant of the angle.

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.1

Grade Range: 9–12
Domain: Trigonometric Functions
Discipline: Algebra II
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: Algebra II
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

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
Showing 71 - 80 of 97 Standards

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