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Showing 41 - 50 of 52 Standards

Standard Identifier: G-C.3

Grade Range: 8–12
Domain: Circles
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Understand and apply theorems about circles.

Standard:
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

Standard Identifier: G-C.3

Grade Range: 8–12
Domain: Circles
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Understand and apply theorems about circles.

Standard:
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

Standard Identifier: G-C.4

Grade Range: 8–12
Domain: Circles
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Understand and apply theorems about circles.

Standard:
(+) Construct a tangent line from a point outside a given circle to the circle.

Standard Identifier: G-C.4

Grade Range: 8–12
Domain: Circles
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Understand and apply theorems about circles.

Standard:
(+) Construct a tangent line from a point outside a given circle to the circle.

Standard Identifier: G-C.5

Grade Range: 8–12
Domain: Circles
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Find arc lengths and areas of sectors of circles. [Radian introduced only as unit of measure]

Standard:
Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector. Convert between degrees and radians. CA

Standard Identifier: G-C.5

Grade Range: 8–12
Domain: Circles
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Find arc lengths and areas of sectors of circles. [Radian introduced only as unit of measure]

Standard:
Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector. Convert between degrees and radians. CA

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-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). *

Showing 41 - 50 of 52 Standards


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