California Department of Education

Search the California Content Standards

Mathematics Standards

Domain

Counting and Cardinality Modeling with Geometry Similarity, Right Triangles, and Trigonometry The Real Number System

Discipline

Algebra II Math III

Conceptual Category

Minimum Grade

Maximum Grade

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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 1 - 6 of 6 Standards

Standard Identifier: G-MG.1

Grade Range: 9–12

Domain: Modeling with Geometry

Discipline: Math III

Conceptual Category: Geometry

Cluster:
Apply geometric concepts in modeling situations.

Standard:
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder). *

Standard Identifier: G-MG.2

Grade Range: 9–12

Domain: Modeling with Geometry

Discipline: Math III

Conceptual Category: Geometry

Cluster:
Apply geometric concepts in modeling situations.

Standard:
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot). *

Standard Identifier: G-MG.3

Grade Range: 9–12

Domain: Modeling with Geometry

Discipline: Math III

Conceptual Category: Geometry

Cluster:
Apply geometric concepts in modeling situations.

Standard:
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). *

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.

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