Euclid's Axiomatic Geometry Lesson Plan

Instructor: John Hamilton

John has tutored algebra and SAT Prep and has a B.A. degree with a major in psychology and a minor in mathematics from Christopher Newport University.

Educate your students about Euclid's axiomatic geometry with this helpful lesson plan. They will view a video lesson, take a related quiz, and take part in a fun, hands-on activity involving Euclid and his axiomatic geometry.

Learning Objectives

After studying this lesson about Euclid, your students will be able to:

  • Differentiate between Euclidean and non-Euclidean geometry
  • Explain who Euclid was and why he was famous
  • List Euclid's five postulates related to the field of geometry


1 - 1.25 Hours


Curriculum Standards


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.

Warmup and Instructions

  • Inform your students they will be learning about the famous Greek mathematician Euclid, as well as his axiomatic geometry.
  • Ask them if anyone is familiar with Euclid, or has even read about him in the past.
  • Have them read the short introduction to the video lesson.
  • Start the video lesson Euclid's Axiomatic Geometry: Developments & Postulates and pause for the first time at 2:18.
    • Who was Euclid and what is he known for?
    • What was the name of his book?
    • What are Euclid's five axioms?
  • Next, restart the video and pause this time at 3:31.
    • How does the axiomatic system work?
  • Now, restart the video and pause for the final time at 4:35.
    • How do Euclidean and non-Euclidean geometry differ?
  • Next, restart the video and watch the 'Lesson Summary' section.
  • Finally, have your students take the lesson quiz to confirm their grasp of this newfound knowledge about Euclid's axiomatic geometry.

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