Special Right Triangles

This is one lesson in a larger Unit Plan that introduces triangular relationships through the lens of building a treehouse with a variety of triangular characteristics.  It has proofs, real world problems, constructions, a unit project, assessments, and more. In Lesson 13, “Special Right Triangles”, students investigate properties of 45-45-90 and 30-60-90 right triangles.  This resource includes a variety of downloadable files, including student worksheets to use with or without Sketchpad, and one hands-on activity. The entire unit plan can be found here. This lesson plan has several activities to work on special right triangles. It includes a hands-on activity, sketchpad activities, and real world problems.

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: