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Angles Unlimited Too (Properties of Parallel Lines)

This is one lesson in a larger Unit Plan that covers all the properties of triangles and several other theorems.  It has proofs, real world problems, constructions, a unit project, assessments, and more.  In this lesson, “Angles Unlimited Too (Properties of Parallel Lines)”, students explore the relationship of angles formed by transversals.   Resources include detailed lesson plans and student handouts, as well as accompanying Sketchpad instructions.  The entire unit plan can be found hereThis lesson uses individual practice as well as cooperative learning groups, and a hands-on activity with patty paper.

Standards & Objectives

Essential and guiding questions: 
  • How can 21st Century tools improve the study of triangles?
  • How can triangular relationships affect your everyday life?
  • Why study triangular relationships?
  • How do the properties of triangles influence their usage?
  • What are the limits of geometrical representation and modeling?

Lesson Variations

Blooms taxonomy level: 
Applying

Helpful Hints

Materials: 

  • Sticky notes
  • markers
  • poster paper
  • activity sheets
  • journals
  • straightedges
  • protractors spaghetti or Wikki Stix
  • plain white paper
  • drinking straws (dry spaghetti, etc.) rulers
  • calculators
  • computers with internet access
  • compasses
  • scissors
  • cardboard
  • poster board 
  • patty paper
  • Miras
  • tape
  • SketchPad software (optional)

References

Contributors: