Skip to main content
California Department of Education Logo

Mathematics Standards




Results


Showing 1 - 3 of 3 Standards

Standard Identifier: G-GPE.4

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 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.5

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:
Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

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. *

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