This unit consists 8th grade math lessons (can also be used for 9th grade integrated math 1 course) in a 2 week unit plan on solving systems of linear equations and inequalities that are provided or modeled by word problems. The unit covers solving methods of systems of equations (substitution, elimination, graphing) then modeling systems of linear equations described in word problems in the first week. Then the second week consists of a real world modeling project for the students (partners or groups), a quiz day, then covering solving inequalities by graphing and modeling inequalities in word problems as well. The unit includes fun activities for the students to engage in learning and have fun practicing solving systems.

Solving Systems of Linear Equations and Inequalities Unit Plan

Subject Math — Expressions and Equations

Resource Type Lesson Plan

Standards Alignment

Common Core State Standards

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### Standards

Solve word problems leading to equations of the form 𝑝𝑥 + 𝑞 = 𝑟 and 𝑝(𝑥 + 𝑞) = 𝑟, where 𝑝, 𝑞, and 𝑟 are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

Solve real-world and mathematical problems leading to two linear equations in two variables.

Analyze and solve pairs of simultaneous linear equations.

Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.

Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

Solve linear equations in one variable.

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