Lesson 4: Solve Mult-Step Equations
Duration of Days: 6
Lesson Objective
Students will be able to solve multi-step linear equations in one variable requiring the systematic application of the distributive property and the collection of like terms.
When simplifying a multi-step equation, why is it strategically necessary to apply the distributive property before combining like terms?
How can you determine if two variable terms or two constant terms are "like terms" that can be collected?
What visual or algebraic cues indicate that an equation will require more than three steps to isolate the variable?
Multi-Step Equation,
Distributive Property,
Like Terms,
Linear Equation,
Simplify,
Properties of Operations,
Coefficient,
Constant,
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: This 6-day lesson synthesizes variable isolation with foundational algebraic properties.
Purpose: To build the complex structural fluency required to solve any linear equation.
DOK Level: 2 (Skill / Concept Application)
Partial Distribution: Multiplying the outside factor by only the first term inside the parentheses.
Breaking the Equal Sign Wall: Attempting to combine like terms that are on opposite sides of the equals sign without using inverse operations.
Sign Attachment Errors: Distributing a negative number incorrectly.
Color-Coded Distribution Arrows: Provide templates where students draw "rainbow arrows" from the outer factor to all inside terms using distinct colors to reinforce thorough multiplication.
Expression Boxes: Have students draw boxes around variable terms and circles around constant terms to visually organize like terms before attempting to add them together.
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