Georgia 6.PAR.7

6.PAR.7 is a Georgia mathematics standard. These are the expectations under it.

• 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 ...

• 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 ...

• 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.

• 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 ...

01

What Students Need to Do

Students choose a variable and represent a real situation with a one-step equation or inequality. They solve it, check the result, and explain what the answer means in context.

02

What Mastery Looks Like

A student can define a variable, write the correct equation or inequality, and solve it using an inverse operation. The student checks the result and explains it with units and context.

03

Common Misconceptions

Students may reverse an inequality sign without multiplying or dividing by a negative number. They may treat phrases like “at most” as equality, or give a number without explaining what it means in the situation.

04

How to Assess It

Give this exit ticket: “Maya has $42 for notebooks that cost $6 each. Write and solve a statement showing how many she can buy, then explain your answer.”

1. 01

   Use balance mats, cups, and counters to model equations such as 4x = 20, then remove equal groups to find x.

2. 02

   Ask students to explain how “exactly 24,” “at most 24,” and “at least 24” change a mathematical model.

3. 03

   Run a card sort matching situation cards, equations or inequalities, solutions, and written interpretations.

4. 04

   Give students a $30 snack budget and a price list, then have them model how many of one item they can buy.

• 7.PAR.3

  Represent authentic situations using equations and inequalities with variables; solve equations and inequalities symbolically, using the properties of equality.

• 8.PAR.3

  Create and interpret expressions within relevant situations. Create, interpret, and solve linear equations and linear inequalities in one variable to model and ...

• 6.PAR.6

  Identify, write, evaluate, and interpret numerical and algebraic expressions as mathematical models to explain relevant situations.