Lesson 5: Review and Assess
Duration of Days: 1
Lesson Objective
Students will be able to demonstrate mastery of multi-step linear equations by solving for variables on both sides, identifying the number of solutions, and applying geometric facts about transversals to find missing angle measures.
When solving a complex equation, how do you decide which side to move the variable terms to?
How can you tell if an equation has no solution or infinitely many solutions without completing all the steps?
How are algebraic equations used to find unknown angle measures in a transversal system?
Identity: An equation with infinitely many solutions (e.g., 5 = 5).
Contradiction: An equation with no solutions (e.g., 5 = 2).
Rational Coefficients: Numbers (fractions/decimals) multiplied by a variable.
Alternate Interior/Exterior: Specific angle pairs created by a transversal.
8.EE.C.7: Solve linear equations in one variable, including those with rational coefficients.
8.G.A.5: Use informal arguments to establish facts about angles created by transversals.
Description: A cumulative review where students practice solving various linear equations and applying those algebraic skills to geometric transversal problems.
Purpose: To consolidate algebraic and geometric reasoning skills before the Unit Summative Assessment.
DOK Level: 3 (Strategic Thinking) - Students must choose and justify their solving strategies.
Clearing vs. Multiplying: Forgetting to multiply the constant terms when clearing fractions from an equation.
Visual vs. Logical Proof: Assuming angles are congruent based on their appearance rather than their geometric relationship (e.g., corresponding).
Choice Board: Students choose between a "Solving Quest" (algebra-heavy) or a "Map Design" (transversal-heavy) review activity.
Guided Review Sheet: Provide a structured notes template for students needing more scaffolding for multi-step problems.
-Quiz
-Check-Ins
-Performance Task
Manipulatives
Worksheets
Google Forms
Textbook