Mathematics Standards
Results
Showing 21 - 30 of 111 Standards
Standard Identifier: G-GMD.4
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
Standard Identifier: G-GMD.5
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k^2, and k^3, respectively; determine length, area and volume measures using scale factors. CA
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k^2, and k^3, respectively; determine length, area and volume measures using scale factors. CA
Standard Identifier: G-GMD.6
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Verify experimentally that in a triangle, angles opposite longer sides are larger, sides opposite larger angles are longer, and the sum of any two side lengths is greater than the remaining side length; apply these relationships to solve realworld and mathematical problems. CA
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Verify experimentally that in a triangle, angles opposite longer sides are larger, sides opposite larger angles are longer, and the sum of any two side lengths is greater than the remaining side length; apply these relationships to solve realworld and mathematical problems. CA
Standard Identifier: G-GPE.1
Grade Range:
8–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Geometry
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.
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.
Standard Identifier: G-GPE.2
Grade Range:
8–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Translate between the geometric description and the equation for a conic section.
Standard:
Derive the equation of a parabola given a focus and directrix.
Translate between the geometric description and the equation for a conic section.
Standard:
Derive the equation of a parabola given a focus and directrix.
Standard Identifier: G-GPE.4
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 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).
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:
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:
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).
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.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.
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.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. *
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). *
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 21 - 30 of 111 Standards
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