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Showing 11 - 20 of 21 Standards

Standard Identifier: G-GPE.6

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:
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

Standard Identifier: G-GPE.6

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:
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

Standard Identifier: G-GPE.7

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 compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. *

Standard Identifier: G-MG.1

Grade Range: 8–12
Domain: Modeling with Geometry
Discipline: Geometry
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: 8–12
Domain: Modeling with Geometry
Discipline: Geometry
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: 8–12
Domain: Modeling with Geometry
Discipline: Geometry
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-GPE.3.1

Grade Range: 9–12
Domain: Expressing Geometric Properties with Equations
Discipline: Algebra II
Conceptual Category: Geometry

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

Standard:
Given a quadratic equation of the form ax^2 + by^2 + cx + dy + e = 0, use the method for completing the square to put the equation into standard form; identify whether the graph of the equation is a circle, ellipse, parabola, or hyperbola and graph the equation. [In Algebra II, this standard addresses only circles and parabolas.] CA

Standard Identifier: G-GPE.3.1

Grade Range: 9–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math III
Conceptual Category: Geometry

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

Standard:
Given a quadratic equation of the form ax^2 + by^2 + cx + dy + e = 0, use the method for completing the square to put the equation into standard form; identify whether the graph of the equation is a circle, ellipse, parabola, or hyperbola and graph the equation. [In Algebra II, this standard addresses only circles and parabolas.] CA

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). *

Showing 11 - 20 of 21 Standards


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