California Department of Education

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Mathematics Standards

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Expressing Geometric Properties with Equations Linear, Quadratic, and Exponential Models Operations and Algebraic Thinking Quantities

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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 51 - 60 of 79 Standards

Standard Identifier: G-GPE.7

Grade Range: 7–12

Domain: Expressing Geometric Properties with Equations

Discipline: Math I

Conceptual Category: Geometry

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

Standard:
Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. *

Standard Identifier: N-Q.1

Grade Range: 7–12

Domain: Quantities

Discipline: Algebra I

Conceptual Category: Number and Quantity

Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]

Standard:
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.*

Standard Identifier: N-Q.1

Grade Range: 7–12

Domain: Quantities

Discipline: Math I

Conceptual Category: Number and Quantity

Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]

Standard:
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. *

Standard Identifier: N-Q.2

Grade Range: 7–12

Domain: Quantities

Discipline: Math I

Conceptual Category: Number and Quantity

Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]

Standard:
Define appropriate quantities for the purpose of descriptive modeling. *

Standard Identifier: N-Q.2

Grade Range: 7–12

Domain: Quantities

Discipline: Algebra I

Conceptual Category: Number and Quantity

Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]

Standard:
Define appropriate quantities for the purpose of descriptive modeling.*

Standard Identifier: N-Q.3

Grade Range: 7–12

Domain: Quantities

Discipline: Algebra I

Conceptual Category: Number and Quantity

Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]

Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.*

Standard Identifier: N-Q.3

Grade Range: 7–12

Domain: Quantities

Discipline: Math I

Conceptual Category: Number and Quantity

Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]

Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. *

Standard Identifier: F-LE.3

Grade Range: 8–12

Domain: Linear, Quadratic, and Exponential Models

Discipline: Math II

Conceptual Category: Functions

Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems. [Include quadratic.]

Standard:
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. *

Standard Identifier: F-LE.6

Grade Range: 8–12

Domain: Linear, Quadratic, and Exponential Models

Discipline: Math II

Conceptual Category: Functions

Cluster:
Interpret expressions for functions in terms of the situation they model.

Standard:
Apply quadratic functions to physical problems, such as the motion of an object under the force of gravity. CA *

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.

Showing 51 - 60 of 79 Standards

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