Skip to main content
California Department of Education Logo

Mathematics Standards




Results


Showing 11 - 20 of 98 Standards

Standard Identifier: 8.F.4

Grade: 8
Domain: Functions

Cluster:
Use functions to model relationships between quantities.

Standard:
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

Standard Identifier: 8.F.5

Grade: 8
Domain: Functions

Cluster:
Use functions to model relationships between quantities.

Standard:
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

Standard Identifier: A-APR.1

Grade Range: 8–12
Domain: Arithmetic with Polynomials and Rational Expressions
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Perform arithmetic operations on polynomials. [Polynomials that simplify to quadratics]

Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

Standard Identifier: G-SRT.1.a

Grade Range: 8–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Understand similarity in terms of similarity transformations.

Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.

Standard Identifier: G-SRT.1.a

Grade Range: 8–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Understand similarity in terms of similarity transformations.

Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.

Standard Identifier: G-SRT.1.b

Grade Range: 8–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Understand similarity in terms of similarity transformations.

Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.

Standard Identifier: G-SRT.1.b

Grade Range: 8–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Understand similarity in terms of similarity transformations.

Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.

Standard Identifier: G-SRT.10

Grade Range: 8–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Geometry
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: 8–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Geometry
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.2

Grade Range: 8–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Understand similarity in terms of similarity transformations.

Standard:
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

Showing 11 - 20 of 98 Standards


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