California Department of Education

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Mathematics Standards

Domain

Counting and Cardinality Making Inferences and Justifying Conclusions Number and Operations in Base Ten Similarity, Right Triangles, and Trigonometry Using Probability to Make Decisions

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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 106 Standards

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.

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: S-MD.6

Grade Range: 8–12

Domain: Using Probability to Make Decisions

Discipline: Math II

Conceptual Category: Statistics and Probability

Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]

Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *

Showing 61 - 70 of 106 Standards

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