Mathematics Standards
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Showing 31 - 40 of 54 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: 8.EE.1
Grade:
8
Domain:
Expressions and Equations
Cluster:
Work with radicals and integer exponents.
Standard:
Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3^2 × 3^-5 = 3^-3 = 1/3^3 = 1/27.
Work with radicals and integer exponents.
Standard:
Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3^2 × 3^-5 = 3^-3 = 1/3^3 = 1/27.
Standard Identifier: 8.EE.2
Grade:
8
Domain:
Expressions and Equations
Cluster:
Work with radicals and integer exponents.
Standard:
Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
Work with radicals and integer exponents.
Standard:
Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
Standard Identifier: 8.EE.3
Grade:
8
Domain:
Expressions and Equations
Cluster:
Work with radicals and integer exponents.
Standard:
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 × 10^8 and the population of the world as 7 × 10^9, and determine that the world population is more than 20 times larger.
Work with radicals and integer exponents.
Standard:
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 × 10^8 and the population of the world as 7 × 10^9, and determine that the world population is more than 20 times larger.
Standard Identifier: 8.EE.4
Grade:
8
Domain:
Expressions and Equations
Cluster:
Work with radicals and integer exponents.
Standard:
Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
Work with radicals and integer exponents.
Standard:
Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
Standard Identifier: 8.EE.5
Grade:
8
Domain:
Expressions and Equations
Cluster:
Understand the connections between proportional relationships, lines, and linear equations.
Standard:
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
Understand the connections between proportional relationships, lines, and linear equations.
Standard:
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
Showing 31 - 40 of 54 Standards
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