Mathematics Standards
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Showing 11 - 20 of 21 Standards
Standard Identifier: G-SRT.5
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Prove theorems involving similarity. [Focus on validity of underlying reasoning while using variety of formats.]
Standard:
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Prove theorems involving similarity. [Focus on validity of underlying reasoning while using variety of formats.]
Standard:
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Standard Identifier: G-SRT.6
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
Standard Identifier: G-SRT.7
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Explain and use the relationship between the sine and cosine of complementary angles.
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Explain and use the relationship between the sine and cosine of complementary angles.
Standard Identifier: G-SRT.8
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. *
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. *
Standard Identifier: G-SRT.8.1
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Derive and use the trigonometric ratios for special right triangles (30°, 60°, 90°and 45°, 45°, 90°). CA
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Derive and use the trigonometric ratios for special right triangles (30°, 60°, 90°and 45°, 45°, 90°). CA
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.
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.
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:
Algebra II
Conceptual Category:
Functions
Cluster:
Extend the domain of trigonometric functions using the unit circle.
Standard:
Graph all 6 basic trigonometric functions. CA
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:
Algebra II
Conceptual Category:
Functions
Cluster:
Model periodic phenomena with trigonometric functions.
Standard:
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. *
Model periodic phenomena with trigonometric functions.
Standard:
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. *
Standard Identifier: F-TF.8
Grade Range:
9–12
Domain:
Trigonometric Functions
Discipline:
Algebra 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.
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.
Showing 11 - 20 of 21 Standards
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