Lesson Plan: Points, Lines, and Planes in Space Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to identify and model geometric concepts like points, lines, and planes in space along with their properties.


Students will be able to

  • describe the possible configurations for two lines in space: parallel, intersecting, or neither (i.e., skew),
  • understand and visualize how three noncollinear points or two intersecting lines define a plane,
  • describe the possible configurations of a line and a plane: a line and a plane intersecting at a point, a line included in the plane, a line parallel to the plane but not included (thus not intersecting),
  • identify the intersection between a plane and a line or between two or three planes.


Students should already be familiar with

  • lines,
  • 2D and 3D shapes.


Students will not cover

  • coordinates of a point,
  • equations of lines and planes.

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