Properties & Postulates of Geometric Figures Lesson Plan

Instructor: Kerry Gray

Kerry has been a teacher and an administrator for more than twenty years. She has a Master of Education degree.

This lesson will help your students understand the properties and postulates of geometric figures. Students will watch a video lesson, explore examples of mathematical postulates, and take a short quiz.

Learning Objectives

After this lesson, students will be able to:

  • describe postulates related to points, lines, and planes
  • generate examples that illustrate geometric postulates
  • define and use related vocabulary

Length

45-90 minutes

Curriculum Standards

  • CCSS.MATH.CONTENT.HSG.CO.A.1

Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

  • CCSS.MATH.CONTENT.HSG.CO.C.9

Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.

  • CCSS.MATH.CONTENT.HSG.CO.D.12

Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.

Materials Needed

  • Chart paper
  • Index cards

Vocabulary

  • postulates
  • theorems
  • points
  • lines
  • non-collinear
  • planes

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