Skip to main content
California Department of Education Logo

Mathematics Standards




Results


Showing 51 - 60 of 100 Standards

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-CED.1

Grade Range: 8–12
Domain: Creating Equations
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Create equations that describe numbers or relationships.

Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *

Standard Identifier: A-CED.2

Grade Range: 8–12
Domain: Creating Equations
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Create equations that describe numbers or relationships.

Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *

Standard Identifier: A-CED.4

Grade Range: 8–12
Domain: Creating Equations
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Create equations that describe numbers or relationships.

Standard:
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. * [Include formulas involving quadratic terms.]

Standard Identifier: G-GPE.1

Grade Range: 8–12
Domain: Expressing Geometric Properties with Equations
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Translate between the geometric description and the equation for a conic section.

Standard:
Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

Standard Identifier: G-GPE.1

Grade Range: 8–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Translate between the geometric description and the equation for a conic section.

Standard:
Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

Standard Identifier: G-GPE.2

Grade Range: 8–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Translate between the geometric description and the equation for a conic section.

Standard:
Derive the equation of a parabola given a focus and directrix.

Standard Identifier: G-GPE.2

Grade Range: 8–12
Domain: Expressing Geometric Properties with Equations
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Translate between the geometric description and the equation for a conic section.

Standard:
Derive the equation of a parabola given a focus and directrix.

Standard Identifier: G-GPE.4

Grade Range: 8–12
Domain: Expressing Geometric Properties with Equations
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]

Standard:
Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2).

Standard Identifier: G-GPE.4

Grade Range: 8–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Use coordinates to prove simple geometric theorems algebraically.

Standard:
Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2). [Include simple circle theorems.]

Showing 51 - 60 of 100 Standards


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