Georgia 8.PAR.3.6
The Standard
Use algebraic reasoning to fluently manipulate linear and literal equations expressed in various forms to solve relevant, mathematical problems.
Georgia's K-12 Mathematics Standards · 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.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students rearrange linear equations and formulas to isolate a chosen variable. They use inverse operations, combine like terms, distribute, and explain why each step keeps the equation balanced.
What Mastery Looks Like
- Students can solve multistep linear equations and rearrange formulas to isolate any named variable. They show equivalent steps, substitute to check, and explain what the result means in context.
Common Misconceptions
- Students may perform an operation on only one side of an equation or lose a negative sign when distributing. They may combine unlike terms or divide only one term instead of the whole side.
How to Assess It
- Exit ticket: A phone plan is modeled by C = 25 + 8g. Solve for g, then find g when C = 81 and check your answer.
Lesson moves
Ways to Teach It
Use algebra tiles to model 3(x + 2) = 18, then have students record the matching symbolic step after each tile move.
Ask students to compare two solutions to 5(x - 2) = 35 and explain which method is more efficient and why.
Give pairs a card sort matching equations, transformed equations, isolated variables, and solutions, including cards with common sign errors.
Use d = rt with travel times and distances, then have students solve for distance, rate, and time and label each unit.
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Printable 8.PAR.3.6 Worksheet
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