Lesson Plan

Characteristics of Parallel Lines

Curated and Reviewed by Lesson Planet

Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines whether systems have a solution based upon their slope and y-intercepts.

15 Views 5 Downloads
CCSS: Designed
Additional Tags
Instructional Ideas
  • Use technology to graph the lines using a large scale to cement the concept that lines with the same slope do not intersect
  • Have individuals graph the equations in the problem set to verify their responses
Classroom Considerations
  • Discussion of the proof about parallel lines addresses the high school standard HSG-GPE.B.5
Pros
  • Includes alternative exercises to replace the proof
  • For answers that have several answers that would be correct, the answer key provides a description of the correct response along with a sample answer
Cons
  • None