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Showing 71 - 80 of 124 Standards

Standard Identifier: A-REI.6

Grade Range: 7–12
Domain: Reasoning with Equations and Inequalities
Discipline: Math I
Conceptual Category: Algebra

Cluster:
Solve systems of equations. [Linear systems]

Standard:
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

Standard Identifier: A-REI.6

Grade Range: 7–12
Domain: Reasoning with Equations and Inequalities
Discipline: Algebra I
Conceptual Category: Algebra

Cluster:
Solve systems of equations. [Linear-linear and linear-quadratic]

Standard:
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

Standard Identifier: A-REI.7

Grade Range: 7–12
Domain: Reasoning with Equations and Inequalities
Discipline: Algebra I
Conceptual Category: Algebra

Cluster:
Solve systems of equations. [Linear-linear and linear-quadratic]

Standard:
Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.

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: 8.G.1.a

Grade: 8
Domain: Geometry

Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.

Standard:
Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length.

Standard Identifier: 8.G.1.b

Grade: 8
Domain: Geometry

Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.

Standard:
Verify experimentally the properties of rotations, reflections, and translations: Angles are taken to angles of the same measure.

Standard Identifier: 8.G.1.c

Grade: 8
Domain: Geometry

Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.

Standard:
Verify experimentally the properties of rotations, reflections, and translations: Parallel lines are taken to parallel lines.

Standard Identifier: 8.G.2

Grade: 8
Domain: Geometry

Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.

Standard:
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

Showing 71 - 80 of 124 Standards


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