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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,
- systems of quadratic equations.
