Mathematics Standards
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Showing 91 - 100 of 130 Standards
Standard Identifier: A-REI.5
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:
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
Solve systems of equations. [Linear-linear and linear-quadratic]
Standard:
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
Standard Identifier: A-REI.5
Grade Range:
7–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Math I
Conceptual Category:
Algebra
Cluster:
Solve systems of equations. [Linear systems]
Standard:
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
Solve systems of equations. [Linear systems]
Standard:
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
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.
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.
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.
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: N-RN.1
Grade Range:
7–12
Domain:
The Real Number System
Discipline:
Algebra I
Conceptual Category:
Number and Quantity
Cluster:
Extend the properties of exponents to rational exponents.
Standard:
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.
Extend the properties of exponents to rational exponents.
Standard:
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.
Standard Identifier: N-RN.2
Grade Range:
7–12
Domain:
The Real Number System
Discipline:
Algebra I
Conceptual Category:
Number and Quantity
Cluster:
Extend the properties of exponents to rational exponents.
Standard:
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Extend the properties of exponents to rational exponents.
Standard:
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Standard Identifier: N-RN.3
Grade Range:
7–12
Domain:
The Real Number System
Discipline:
Algebra I
Conceptual Category:
Number and Quantity
Cluster:
Use properties of rational and irrational numbers.
Standard:
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
Use properties of rational and irrational numbers.
Standard:
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
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.
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.
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.
Showing 91 - 100 of 130 Standards
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