Mathematics Standards
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Showing 71 - 80 of 93 Standards
Standard Identifier: G-GPE.4
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:
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). [Include simple circle theorems.]
Use coordinates to prove simple geometric theorems algebraically.
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). [Include simple circle theorems.]
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.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.
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. *
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: A-CED.1
Grade Range:
9–12
Domain:
Creating Equations
Discipline:
Algebra II
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships. [Equations using all available types of expressions, including simple root functions]
Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *
Create equations that describe numbers or relationships. [Equations using all available types of expressions, including simple root functions]
Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *
Standard Identifier: A-CED.1
Grade Range:
9–12
Domain:
Creating Equations
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships. [Equations using all available types of expressions, including simple root functions]
Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *
Create equations that describe numbers or relationships. [Equations using all available types of expressions, including simple root functions]
Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *
Standard Identifier: A-CED.2
Grade Range:
9–12
Domain:
Creating Equations
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships. [Equations using all available types of expressions, including simple root functions]
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
Create equations that describe numbers or relationships. [Equations using all available types of expressions, including simple root functions]
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
Standard Identifier: A-CED.2
Grade Range:
9–12
Domain:
Creating Equations
Discipline:
Algebra II
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships. [Equations using all available types of expressions, including simple root functions]
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
Create equations that describe numbers or relationships. [Equations using all available types of expressions, including simple root functions]
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
Standard Identifier: A-CED.3
Grade Range:
9–12
Domain:
Creating Equations
Discipline:
Algebra II
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships. [Equations using all available types of expressions, including simple root functions]
Standard:
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. *
Create equations that describe numbers or relationships. [Equations using all available types of expressions, including simple root functions]
Standard:
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. *
Showing 71 - 80 of 93 Standards
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