Lesson Plan: Solving Systems of Equations Graphically | Nagwa Lesson Plan: Solving Systems of Equations Graphically | Nagwa

Lesson Plan: Solving Systems of Equations Graphically Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to solve a system of two linear equations or one linear and one quadratic equation by considering their graphs and identifying the point of intersection.

Objectives

Students will be able to

• understand that the solution set of a system of equations is graphically represented by the point or points at which the lines intersect,
• understand the possible solution cases that arise when solving a linear–quadratic system of equations by using the discriminant, specifically,
• if , then the system has two solutions,
• if , then the system has one solution,
• if , then the system has no solution,
• draw the graphs for systems of two linear equations or one linear and one quadratic equation, solve them by finding the points of intersection, and verify the solutions using substitution,
• solve real-world applications of systems of equations.

Prerequisites

Students should already be familiar with

• solving linear and linear–quadratic systems of equations algebraically,
• graphing linear and quadratic functions.

Exclusions

Students will not cover

• systems of equations involving more than 2 variables,