California Department of Education

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Mathematics Standards

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Measurement and Data Similarity, Right Triangles, and Trigonometry

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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 61 - 70 of 71 Standards

Standard Identifier: G-SRT.6

Grade Range: 8–12

Domain: Similarity, Right Triangles, and Trigonometry

Discipline: Geometry

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.

Standard Identifier: G-SRT.7

Grade Range: 8–12

Domain: Similarity, Right Triangles, and Trigonometry

Discipline: Geometry

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.

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.

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. *

Standard Identifier: G-SRT.8

Grade Range: 8–12

Domain: Similarity, Right Triangles, and Trigonometry

Discipline: Geometry

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. *

Standard Identifier: G-SRT.8.1

Grade Range: 8–12

Domain: Similarity, Right Triangles, and Trigonometry

Discipline: Geometry

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

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

Standard Identifier: G-SRT.9

Grade Range: 8–12

Domain: Similarity, Right Triangles, and Trigonometry

Discipline: Geometry

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: 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).

Showing 61 - 70 of 71 Standards

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