Mathematics Standards
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Expressions and Equations
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Number and Operations—Fractions
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Operations and Algebraic Thinking
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Reasoning with Equations and Inequalities
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Similarity, Right Triangles, and Trigonometry
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Showing 111 - 120 of 145 Standards
Standard Identifier: 8.EE.8.c
Grade:
8
Domain:
Expressions and Equations
Cluster:
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Analyze and solve pairs of simultaneous linear equations. Solve real-world and mathematical problems leading to to linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Analyze and solve pairs of simultaneous linear equations. Solve real-world and mathematical problems leading to to linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
Standard Identifier: A-REI.4.a
Grade Range:
8–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Solve equations and inequalities in one variable. [Quadratics with real coefficients]
Standard:
Solve quadratic equations in one variable. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)^2 = q that has the same solutions. Derive the quadratic formula from this form.
Solve equations and inequalities in one variable. [Quadratics with real coefficients]
Standard:
Solve quadratic equations in one variable. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)^2 = q that has the same solutions. Derive the quadratic formula from this form.
Standard Identifier: A-REI.4.b
Grade Range:
8–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Solve equations and inequalities in one variable. [Quadratics with real coefficients]
Standard:
Solve quadratic equations in one variable. Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
Solve equations and inequalities in one variable. [Quadratics with real coefficients]
Standard:
Solve quadratic equations in one variable. Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
Standard Identifier: A-REI.7
Grade Range:
8–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Solve systems of equations. [Linear-quadratic systems]
Standard:
Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x^2 + y^2 = 3.
Solve systems of equations. [Linear-quadratic systems]
Standard:
Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x^2 + y^2 = 3.
Standard Identifier: G-SRT.1.a
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Standard Identifier: G-SRT.1.a
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Standard Identifier: G-SRT.1.b
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Standard Identifier: G-SRT.1.b
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Standard Identifier: G-SRT.10
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Apply trigonometry to general triangles.
Standard:
(+) Prove the Laws of Sines and Cosines and use them to solve problems.
Apply trigonometry to general triangles.
Standard:
(+) Prove the Laws of Sines and Cosines and use them to solve problems.
Standard Identifier: G-SRT.11
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Apply trigonometry to general triangles.
Standard:
(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).
Apply trigonometry to general triangles.
Standard:
(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).
Showing 111 - 120 of 145 Standards
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