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.
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...
Article
Khan Academy

Khan Academy: The Euclidean Algorithm

For Students 9th - 10th
As related to cryptography, understanding and providing proof of the Euclidian Algorithm.
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.
Handout
Other

Mathematical the Four Color Theorem and Computer Proof

For Students 9th - 10th
This site describes the role of computer involvement in the four color map theorem.
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.
Handout
Cut the Knot

Cut the Knot!: Analogues and Generalization of the Pythagorean Theorem

For Students 9th - 10th
This site discusses the theorems and other findings which are directly related to the fundamental Pythagorean theorem. Be sure to click on the link to information on Pythagorean theorem to find several proofs of the theorem.
Activity
Cut the Knot

Cut the Knot!: The Law of Cosines (Cosine Rule)

For Students 9th - 10th Standards
This site from Cut The Knot provides an overview of the law of cosines, complete with an explanation of the law and a proof of the law.
Handout
Dartmouth College

Dartmouth College: The Different Styles of Euclid and Copernicus

For Students 9th - 10th Standards
A history of the differences between Euclid's and Copernicus's methods of proving geometric ideas.

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