Georgia standard · Mathematics

`6.PAR.7`One-Step Equations and Inequalities

Write and solve one-step equations and inequalities as mathematical models to explain authentic, realistic situations.

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Expectations

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.
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.
6.PAR.7.3
Solve problems by writing and solving equations of the form x + p = q, px = q and $\frac{x}{p}$ = q for cases in which p, q and x are all nonnegative rational numbers.
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.

Mathematics Grade 6 (EOG) · Patterning & Algebraic Reasoning
Write and solve one-step equations and inequalities as mathematical models to explain authentic, realistic situations.
about 12% of the test · 7 points

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

Beginning: Use substitution to determine whether a given value for a variable is a solution to an equation.
Developing: Use substitution to determine whether a given value for a variable is a solution to an inequality. Write a one-step, one-variable equation to represent a realistic problem. Solve mathematical problems of the form x ± p = q, px = q, and x/p = q. Match an inequality of the form x > c, x ≥ c, x < c, or x ≤ c to a solution graphed on a number line.
Proficient: Write a one-step, one-variable inequality to represent a realistic problem. Solve real-life problems that can be modeled by equations of the form x ± p = q, px = q, and x/p = q. Describe the solution to a realistic problem that can be modeled by an inequality in the form x > c, x ≥ c, x < c, or x ≤ c in the context of the problem.
Distinguished: Create and solve one-step equations and inequalities and describe the solutions in the context of the problems.