Mathematics Standards
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Arithmetic with Polynomials and Rational Expressions
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Operations and Algebraic Thinking
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Reasoning with Equations and Inequalities
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Statistics and Probability
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The Real Number System
Results
Showing 71 - 80 of 107 Standards
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.SP.1
Grade:
8
Domain:
Statistics and Probability
Cluster:
Investigate patterns of association in bivariate data.
Standard:
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
Investigate patterns of association in bivariate data.
Standard:
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
Standard Identifier: 8.SP.2
Grade:
8
Domain:
Statistics and Probability
Cluster:
Investigate patterns of association in bivariate data.
Standard:
Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.
Investigate patterns of association in bivariate data.
Standard:
Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.
Standard Identifier: 8.SP.3
Grade:
8
Domain:
Statistics and Probability
Cluster:
Investigate patterns of association in bivariate data.
Standard:
Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.
Investigate patterns of association in bivariate data.
Standard:
Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.
Showing 71 - 80 of 107 Standards
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