cMathematics Department
Geometry

Parallel and Perpendicular Lines

Enduring Understanding:

  • To describe and understand real-life objects that are composed of parallel and perpendicular lines

Essential Questions:

  • How do equations of lines reflect the appearance of their graphs?
  • What happens when two lines are intersected by a third line (transversal)?
  • What is slope?

Target Goals:

  • To be able to identify relationships between lines by analyzing graphs and equations
  • To be able to identify angles formed by two lines and a transversal
  • To be able to use properties of parallel lines to prove angles congruent or lines parallel
  • To be able to write equations of lines given various information
  • To be able to find slope and also use slope to identify parallel and perpendicular lines

Assessments:

  • Quiz/Test
  • White board/chalkboard problems in class
  • Verbal response
  • Daily homework

Activities:

  • Find parallel and perpendicular lines in various real-world settings
  • Identify angle relationships
  • Identify slopes graphically and algebraically
  • Think-pair-share
  • Writing proofs in small group and whole group settings

State Goals:

  • 8.C.4a - Analyze and report the effects of changing coefficients, exponents and other parameters on functions and their graphs
  • 9.B.4 - Recognize and apply relationships within and among geometric figures
  • 9.C.4c - Develop and communicate mathematical proofs

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Last updated: January 25, 2008