Lesson Plan

Solve a linear equation in one variable by successively transforming it into simpler equivalent forms until a terminal form is reached

Identify the three possible terminal forms of a simplified linear equation: x = a (one solution), a = a (infinitely many solutions), and a = b where a and b are different numbers (no solution)

Classify a given linear equation as having one solution, infinitely many solutions, or no solution by solving it completely and interpreting the resulting terminal form

Construct original examples of linear equations that produce each of the three solution types, demonstrating understanding of the structural features that determine the outcome

Explain in words why an identity (such as 0 = 0) means every value of x is a solution and why a contradiction (such as 3 = 7) means no value of x is a solution

8.EE.C.7.a

8.EE.C.7.a: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).