Lesson 2: Solve Two-Step Equations
Duration of Days: 4
Lesson Objective
Students will be able to solve two-step linear equations in one variable with rational coefficients by applying inverse operations in the reverse order of operations to isolate the variable.
Why do we typically undo addition or subtraction before undoing multiplication or division when solving a two-step equation?
How does the properties of equality guarantee that the equation remains balanced during each step of isolation?
How can you substitute your calculated solution back into the original equation to verify if your answer is correct?
Two-Step Equation,
Inverse Operation,
Property of Equality,
Isolate the Variable,
Constant,
Coefficient,
Solution,
Simplify
8.EE.C.7: Analyze and solve linear equations and pairs of simultaneous linear equations.
8.EE.C.7.b: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms
Description: Students will formalize their understanding of algebraic balance by solving equations that require exactly two inverse operations.
Purpose: To build procedural fluency in variable isolation.
DOK Level: 2 (Skill / Concept Application)
Order of Operations Confusion: Students often try to divide by the coefficient before clearing the constant term.
Sign Attachment Errors: Dropping the negative sign in front of a variable term when removing a constant.
Operation Reversal: Accidentally applying the same operation to clear a term rather than its inverse.
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