Lesson Plan

Geometric Interpretations of the Solutions of a Linear System

Curated and Reviewed by Lesson Planet

An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear equations on the same graph and determine the point of intersection. They verify the point is a solution to the system by showing it is a solution to each of the equations.

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Conduct a short review on creating appropriate scales to read the point of intersection
  • Lead a discussion on why it is not enough to verify the solution in only one equation
Classroom Considerations
  • The problem set requires graph paper
Pros
  • Handouts are available in various formats
  • The answer key shows the steps used to verify the solutions
Cons
  • None
Common Core