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Showing 71 - 80 of 129 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-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.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.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.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.

Showing 71 - 80 of 129 Standards


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