Unit Plan
University of California

Euclidean Geometry

For Teachers 9th - 12th
Go back to where it all began! Investigate how axiomatic systems and Euclidean geometry are based on undefined terms, common notions, postulates, and propositions by examining passages from Euclid's Elements. (Social studies teachers...
Lesson Plan
Curated OER

Preparation and Transition to Two-Column Proofs

For Teachers 10th - 11th
Students investigate proofs used to solve geometric problems. In this geometry lesson, students read about the history behind early geometry and learn how to write proofs correctly using two columns. The define terminology valuable to...
eBook
Mathigon

Mathigon: Euclidean Geometry: Euclid's Axioms

For Students 9th - 10th Standards
This lesson focuses on Euclid's Axioms, simple, intuitive statements, that everyone agrees are true. An axiom(or postulate) is a mathematical statement that is regarded as "self-evident" and accepted without proof. A key part of...
Unit Plan
Oswego City School District

Regents Exam Prep Center: Writing a Proof: Direct Euclidean Proofs

For Students 9th - 10th Standards
This site is a look into the world of geometric proofs. You'll learn what a proof is and about the different types of proofs. Try the practice page to check your understanding. Teachers can check out the teacher resources for lesson and...
Activity
Oswego City School District

Regents Exam Prep Center: Indirect Euclidean Proofs

For Students 9th - 10th
This Oswego City School District Regents Exam Prep site shows you how to proof something by showing that it is false. This look at indirect proofs includes a practice and a teacher resource page, which features a warm-up activity.
Handout
Oswego City School District

Regents Exam Prep Center: Theorems and Postulates for Geometry

For Students 9th - 10th Standards
Here is a partial list of theorems, postulates, and properties.
Activity
Other

Georgia Tech: The Four Color Theorem

For Students 9th - 10th
An explanation and proof of the Four Color Map Theorem. Includes illustrative images and a plethora of information.