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Represent & Solve [1 variable]

6th Grade

Arkansas Academic Standards: 6.EE.B.5

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?

Arizona - K-12 Academic Standards: 6.EE.B.5

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

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

Use substitution to determine whether a given number in a specified set makes an equation true.

Tennessee Academic Standards: 6.EE.B.5

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

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

  • 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

Arizona - K-12 Academic Standards: 6.EE.B.6

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

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

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

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

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

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.
  1. Interpret the solution of an equation in the context of the problem.

Arkansas Academic Standards: 6.EE.B.7

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 - K-12 Academic Standards: 6.EE.B.7

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

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

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

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.

New York State Next Generation Learning Standards: 6.EE.7

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

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.
  1. Interpret the solution of an inequality in the context of a problem.
  2. Represent the solutions of inequalities on a number line and explain that the solution set may contain infinitely many solutions.

Arkansas Academic Standards: 6.EE.B.8

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

Arizona - K-12 Academic Standards: 6.EE.B.8

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

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

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

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.

New York State Next Generation Learning Standards: 6.EE.8

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

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

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

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

Write algebraic expressions to represent real-world or mathematical problems.

Pennsylvania Core Standards: M06.B-E.2.1.3

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

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

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

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

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

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

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

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

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

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.

6th Grade Math - Represent & Solve [1 variable] Lesson
 




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