7.PAR.3Equations and Inequalities

Expectations

• 7.PAR.3.1

  Construct algebraic equations to solve practical problems leading to equations of the form $px + q = r$ and $p(x + q) = r$, where $p$, $q$, and $r$ are specific rational numbers. Interpret the solution based on the situation.

• 7.PAR.3.2

  Construct algebraic inequalities to solve problems, leading to inequalities of the form $px ± q \gt r$, $px ± q \lt r$, $px ± q \le r$, or $px ± q \ge r$, where $p$, $q$, and $r$ are specific rational numbers. Graph and interpret the solution based on the realistic situation that the inequalities represent.

Georgia Milestones coverage

• Mathematics Grade 7 (EOG) · Patterning & Algebraic Reasoning

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

  about 21% of the test · 12 points These points are shared with other standards, so count them once and never add them up per standard.

What mastery looks like

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

Beginning

Solve problems of the form px + q = r and p(x + q) = r. Solve problems of the form px ± q > r, px ± q < r, px ± q ≤ r, and px ± q ≥ r.

Developing

Solve practical problems of the form px + q = r and p(x + q) = r and interpret the solutions based on the situations. Solve problems of the form px ± q > r, px ± q < r, px ± q ≤ r, and px ± q ≥ r and interpret the solutions based on realistic situations.

Proficient

Create and solve algebraic equations and inequalities to represent realistic problems. Graph algebraic inequalities on a number line and interpret the solutions based on realistic situations.

Distinguished

Create linear equations and inequalities to solve complex, realistic problems, and graph and/or interpret the solutions.

The same standard across grades

1. Grade 1 · 1.PAR.3

   Identify, describe, extend, and create repeating patterns, growing patterns, and shrinking patterns found in real-life situations.

2. Grade 3 · 3.PAR.3

   Use part-whole strategies to solve real-life, mathematical problems involving multiplication and division with whole numbers within 100.

3. Grade 4 · 4.PAR.3

   Generate and analyze patterns, including those involving shapes, input/output diagrams, factors, multiples, prime numbers, and composite numbers.

4. Grade 7 · 7.PAR.3 (this standard)

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

5. Grade 8 · 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 explain real phenomena.