Mathematics Standards
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Circles
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Creating Equations
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Expressions and Equations
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Geometric Measurement and Dimension
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Interpreting Functions
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Reasoning with Equations and Inequalities
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Using Probability to Make Decisions
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Showing 71 - 80 of 154 Standards
Standard Identifier: 8.EE.7.a
Grade:
8
Domain:
Expressions and Equations
Cluster:
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Solve linear equations in one variable. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Solve linear equations in one variable. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
Standard Identifier: 8.EE.7.b
Grade:
8
Domain:
Expressions and Equations
Cluster:
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Solve linear equations in one variable. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Solve linear equations in one variable. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
Standard Identifier: 8.EE.8.a
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. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Analyze and solve pairs of simultaneous linear equations. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
Standard Identifier: 8.EE.8.b
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 systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Analyze and solve pairs of simultaneous linear equations. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
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-CED.1
Grade Range:
8–12
Domain:
Creating Equations
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships.
Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *
Create equations that describe numbers or relationships.
Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *
Standard Identifier: A-CED.2
Grade Range:
8–12
Domain:
Creating Equations
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships.
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
Create equations that describe numbers or relationships.
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
Standard Identifier: A-CED.4
Grade Range:
8–12
Domain:
Creating Equations
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships.
Standard:
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. * [Include formulas involving quadratic terms.]
Create equations that describe numbers or relationships.
Standard:
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. * [Include formulas involving quadratic terms.]
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.
Showing 71 - 80 of 154 Standards
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