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Showing 21 - 30 of 56 Standards

Standard Identifier: G-GPE.4

Grade Range: 7–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math I
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).

Standard Identifier: G-GPE.5

Grade Range: 7–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math I
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).

Standard Identifier: G-GPE.7

Grade Range: 7–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math I
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: A-CED.1

Grade Range: 8–12
Domain: Creating Equations
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Create equations that describe numbers or relationships.

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: 8–12
Domain: Creating Equations
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Create equations that describe numbers or relationships.

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.4

Grade Range: 8–12
Domain: Creating Equations
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Create equations that describe numbers or relationships.

Standard:
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. * [Include formulas involving quadratic terms.]

Standard Identifier: G-GMD.1

Grade Range: 8–12
Domain: Geometric Measurement and Dimension
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Explain volume formulas and use them to solve problems.

Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.

Standard Identifier: G-GMD.1

Grade Range: 8–12
Domain: Geometric Measurement and Dimension
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Explain volume formulas and use them to solve problems.

Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.

Standard Identifier: G-GMD.3

Grade Range: 8–12
Domain: Geometric Measurement and Dimension
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Explain volume formulas and use them to solve problems.

Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *

Standard Identifier: G-GMD.3

Grade Range: 8–12
Domain: Geometric Measurement and Dimension
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Explain volume formulas and use them to solve problems.

Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *

Showing 21 - 30 of 56 Standards


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