Represent & Solve [1 variable]
6th Grade
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Arkansas Academic Standards:
6.EE.B.5
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Understand solving an equation or inequality as a process of answering a question:- Using substitution, which values from a specified set, if any, make the equation or inequality true?
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Arizona Academic Standards:
6.EE.B.5
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Understand solving an equation or inequality as a process of reasoning to find the value(s) of the variables that make that equation or inequality true. Use substitution to determine whether a given number in a specified set makes an equation or inequality true. |
Common Core State Standards:
Math.6.EE.5 or 6.EE.B.5
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Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. |
North Carolina - Standard Course of Study:
6.EE.5
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Use substitution to determine whether a given number in a specified set makes an equation true. |
Tennessee Academic Standards:
6.EE.B.5
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Understand solving an equation or inequality is carried out by determining if any of the values from a given set make the equation or inequality true. Use substitution to determine whether a given number in a specified set makes an equation or inequality true. |
Alabama Course of Study Standards:
18
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Determine whether a value is a solution to an equation or inequality by using substitution to conclude whether a
given value makes the equation or inequality true. |
Arkansas Academic Standards:
6.EE.B.6
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- Use variables to represent numbers and write expressions when solving a real-world or mathematical problem
- Understand that a variable can represent an unknown number or any number in a specified set
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Arizona Academic Standards:
6.EE.B.6
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Use variables to represent numbers and write expressions when solving mathematical problems and problems in real-world context; understand that a variable can represent an unknown number or any number in a specified set. |
Common Core State Standards:
Math.6.EE.6 or 6.EE.B.6
Tennessee Academic Standards:
6.EE.B.6
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Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. |
Georgia Standards of Excellence (GSE):
6.PAR.7.2
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Write one-step equations and inequalities to represent and solve problems; explain that a variable can represent an unknown number or any number in a specified set. |
North Carolina - Standard Course of Study:
6.EE.6
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Use variables to represent numbers and write expressions when solving a real-world or mathematical problem. |
New York State Next Generation Learning Standards:
6.EE.6
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Use variables to represent numbers and write expressions when solving a real-world or mathematical problem. Understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. |
Alabama Course of Study Standards:
19
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Write and solve an equation in the form of x+p=q or px=q for cases in which p, q, and x are all non-negative rational numbers to solve real-world and mathematical problems.- Interpret the solution of an equation in the context of the problem.
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Arkansas Academic Standards:
6.EE.B.7
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Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers |
Arizona Academic Standards:
6.EE.B.7
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Solve mathematical problems and problems in real-world context by writing and solving equations of the form x + p = q, x - p = q, px = q, and x/p = q for cases in which p, q and x are all non-negative rational numbers. |
Common Core State Standards:
Math.6.EE.7 or 6.EE.B.7
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Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers. |
Georgia Standards of Excellence (GSE):
6.PAR.7.3
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Solve problems by writing and solving equations of the form x + p = q, px = q and ??/?? = q for cases in which p, q and x are all nonnegative rational numbers. |
North Carolina - Standard Course of Study:
6.EE.7
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Solve real-world and mathematical problems by writing and solving equations of the form:- x + p = q in which p, q and x are all nonnegative rational numbers; and,
- p × x = q for cases in which p, q and x are all nonnegative rational numbers.
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New York State Next Generation Learning Standards:
6.EE.7
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Solve real-world and mathematical problems by writing and solving equations of the form x + p = q; x – p = q; px = q; and x/p = q for cases in which p, q, and x are all non-negative rational numbers. Note: For the x/p = q case, p ≠ 0. |
Alabama Course of Study Standards:
20
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Write and solve inequalities in the form of x>c, x, or x = c to represent a constraint or condition in a real-world or mathematical problem. - Interpret the solution of an inequality in the context of a problem.
- Represent the solutions of inequalities on a number line and explain that the solution set may contain infinitely
many solutions.
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Arkansas Academic Standards:
6.EE.B.8
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For real world or mathematical problems:- Write an inequality of the form x > c, x = c, x < c, or x = c to represent a constraint or condition
- Recognize that inequalities of the form x > c or x < c have infinitely many solutions
- Represent solutions of such inequalities on number line diagrams
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Arizona Academic Standards:
6.EE.B.8
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Write an inequality of the form x > c, x < c, x = c, or x = c to represent a constraint or condition to solve mathematical problems and problems in real-world context. Recognize that inequalities have infinitely many solutions; represent solutions of such inequalities on number lines. |
Common Core State Standards:
Math.6.EE.8 or 6.EE.B.8
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Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams. |
Georgia Standards of Excellence (GSE):
6.PAR.7.4
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Recognize and generate inequalities of the form x > c, x > c, x < c, or x < c to explain situations that have infinitely many solutions; represent solutions of such inequalities on a number line. |
North Carolina - Standard Course of Study:
6.EE.8
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Reason about inequalities by:- Using substitution to determine whether a given number in a specified set makes an inequality true.
- Writing an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical
problem.
- Recognizing that inequalities of the form x > c or x < c have infinitely many solutions.
- Representing solutions of inequalities on number line diagrams.
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New York State Next Generation Learning Standards:
6.EE.8
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Write an inequality of the form x > c, x = c, x = c, or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of these forms have infinitely many solutions; represent solutions of such inequalities on a number line. |
Tennessee Academic Standards:
6.EE.B.8
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Interpret and write an inequality of the form x > c or x < c which represents a condition or constraint in a real-world or mathematical problem. Recognize that inequalities have infinitely many solutions; represent solutions of inequalities on number line diagrams. |
Pennsylvania Core Standards:
CC.2.2.6.B.2
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Understand the process of solving a one-variable equation or inequality and apply it to real-world and mathematical problems. |
Pennsylvania Core Standards:
M06.B-E.2.1.1
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Use substitution to determine whether a given number in a specified set makes an equation or inequality true. |
Pennsylvania Core Standards:
M06.B-E.2.1.2
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Write algebraic expressions to represent real-world or mathematical problems. |
Pennsylvania Core Standards:
M06.B-E.2.1.3
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Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all non-negative rational numbers. |
Pennsylvania Core Standards:
M06.B-E.2.1.4
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Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem and/or represent solutions of such inequalities on number lines. |
Florida - Benchmarks for Excellent Student Thinking:
MA.6.AR.2.1
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Given an equation or inequality and a specified set of integer values, determine which values make the equation or inequality true or false |
Florida - Benchmarks for Excellent Student Thinking:
MA.6.AR.2.2
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Write and solve one-step equations in one variable within a mathematical or real-world context using addition and subtraction, where all terms and solutions are integers |
Florida - Benchmarks for Excellent Student Thinking:
MA.6.AR.2.3
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Write and solve one-step equations in one variable within a mathematical or real-world context using multiplication and division, where all terms and solutions are integers. |
Florida - Benchmarks for Excellent Student Thinking:
MA.6.AR.2.4
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Determine the unknown decimal or fraction in an equation involving any of the four operations, relating three numbers, with the unknown in any position |
Georgia Standards of Excellence (GSE):
6.PAR.7.1
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Solve one-step equations and inequalities
involving variables when values for the
variables are given. Determine whether an
equation and inequality involving a variable is
true or false for a given value of the variable. |
Georgia Standards of Excellence (GSE):
6.PAR.7.2
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Write one-step equations and inequalities to
represent and solve problems; explain that a
variable can represent an unknown number
or any number in a specified set. |
Georgia Standards of Excellence (GSE):
6.PAR.7.3
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Solve problems by writing and solving equations of the form x ± p = q, px = q and x/p = q for cases in which p, q and x are all nonnegative rational numbers. |
Georgia Standards of Excellence (GSE):
6.PAR.7.4
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Recognize and generate inequalities of the form x > c, x ≥ c, x < c, or x ≤ c to explain situations that have infinitely many solutions; represent solutions of such inequalities on a number line. |
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