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Lesson Plan--Systems of Equations--Lesson 4--Solving by Graphing

Lesson Plan: Solving Systems of Equations by Graphing

In this fourth lesson of the Systems of Equations Unit, students will learn how to solve systems of equations using the graphing method. Graphing is a visual approach that helps students understand the meaning of a system's solution by identifying the point where two lines intersect.

Students will:

  • Understand when graphing is an effective method for solving systems
  • Graph linear equations on a coordinate plane
  • Identify the solution as the point of intersection of two lines
  • Determine cases where a system has one solution, no solution, or infinitely many solutions
  • Apply graphing to real-world problems involving systems of equations

Designed for Algebra 1 and Algebra 2 students, this lesson aligns with Common Core standards and strengthens students' ability to interpret graphical representations of systems. Mastering the graphing method builds a strong foundation for solving systems algebraically using substitution and elimination.

This is the fourth lesson in an eight-part unit on systems of equations. Future lessons will compare different solving methods and explore their applications in real-world scenarios.

Subscribers to Media4Math can download these lesson plans in PDF format for easy classroom use.

Common Core Standards CCSS.MATH.CONTENT.HSA.REI.C.6, CCSS.MATH.CONTENT.HSA.REI.D.10
Grade Range 9 - 12
Curriculum Nodes Algebra
    • Linear Systems
        • Solving Systems of Equations
Copyright Year 2025
Keywords linear systems, graphical solutions to linear systems