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Lesson Plan
EngageNY

The Euclidean Algorithm as an Application of the Long Division Algorithm

For Students 6th Standards
Individuals learn to apply the Euclidean algorithm to find the greatest common factor of two numbers. Additionally, the lesson connects greatest common factor to the largest square that can be drawn in a rectangle.
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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...
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Worksheet
3
3
K12 Reader

Basic Geometry Terms

For Students 4th - 5th Standards
Set your pupils up to start on geometry by teaching them some introductory terminology. Pupils learn the terms by reading a short passage and looking at examples. They then respond to five questions related to the text.
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Lesson Plan
Harvard University

The Nouns of Geometry

For Teachers 9th - 12th
Socratic questioning to teach Euclidean geometry? "The Nouns of Geometry," followed by "The Verbs of Geometry," and the misfit, "A Beginner's Story - The Equilateral Triangle" are designed to encourage learners to explore various...
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Worksheet
Curated OER

Euclidean Geometry

For Students 9th - 12th
In this Euclidean geometry learning exercise, students use a straight edge and a compass to create constructions that are possible with Euclid's Postulates. This one-page learning exercise contains two construction problems.
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Worksheet
Curated OER

Worksheet 26

For Students 11th - Higher Ed
In this math worksheet, students use the polar coordinates to find the Euclidian coordinates. Then they compare points on the coordinate plane.
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Lesson Plan
Curated OER

Why Study Fractals?

For Teachers 9th - 12th
Students explore the concept of fractals. In this fractals lesson, students use the website to research where fractals occur in nature. Students research what fractals are and how fractals are used to solve real world problems.
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Lesson Plan
Curated OER

Mathematicians and Scientists Treasure Hunt

For Teachers 8th - 10th
In this Mathematicians and Scientists Treasure Hunt worksheet, students use the internet to research facts about a famous mathematician or scientists. Students read the fact on the worksheet and write the name of the famous individual...
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Website
Wolfram Research

Wolfram Math World: Euclid: The Elements

For Students 6th - 8th
The classic treatise in geometry written by Euclid is presented in English. It is the textbook used for more than 1,000 years in western Europe.
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Article
University of Oregon

University of Oregon: Greek Science: Early Cosmology

For Students 9th - 10th
Discusses the evolution of ideas about the cosmos, from the Magic Cosmology of the Neolithic age to the stage of Mythical Cosmology, to the Geometric Cosmology of the ancient Greeks. The third stage advocated a rational approach to...
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Article
Texas A&M University

Texas a & M University: The Origins of Greek Mathematics [Pdf]

For Students 9th - 10th
Describes the history of Greek mathematics and the major figures and schools of mathematics.
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Website
Other

Alexandria: A Historical Outline

For Students 9th - 10th
The Hellenic Electronic Center offers extensive information about Alexandria starting with its founding by Alexander to contemporary times. Describes the achievements of the city and its decline because of other sea routes for trade.
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Handout
Other

Euclid and the Elements [Pdf]

For Students 9th - 10th
A brief biographical sketch of Euclid contained in an extensive discussion of his Elements.
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Handout
Other

The Mathematical Elements of Euclid

For Students 9th - 10th
An extensive discussion of the Elements, which contains all the geometrical knowledge available in the Hellenistic period.
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Handout
Math Open Reference

Math Open Reference: Biography of Euclid

For Students 9th - 10th
Biography of Euclid, a Greek Mathematician, also known as the 'Father of Geometry'.
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Handout
University of St. Andrews (UK)

University of St. Andrews: Non Euclidean Geometry

For Students 9th - 10th
The University of St. Andrews in Scotland provides an excellent site explaining Non-Euclidean geometry.
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Activity
Math Open Reference

Math Open Reference: Constructions

For Students 9th - 10th Standards
Learn about drawing shapes using only a compass and straight edge or ruler with out measuring any lengths or angles.
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Handout
Wolfram Research

Wolfram Math World: Euclid's Postulates

For Students 9th - 10th
This site from MathWorld.com provides a listing of the postulates of Euclid and a brief discussion on the validity of the fifth postulate.
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Handout
Wolfram Research

Wolfram Math World: Euclid's Theorems

For Students 9th - 10th
This site from MathWorld.com provides a description of the theorems of Euclid and his theories of prime and composite numbers.
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Website
Wolfram Research

Wolfram Science World: Life of Sir Isaac Newton

For Students 9th - 10th
This site from ScienceWorld provides an interesting biographical sketch of the English physicist and mathematician, Isaac Newton. The biography is a good size in length and very informative, with links provided throughout for additional...
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Handout
Jim Loy

Jimloy.com: Saccheri

For Students 9th - 10th Standards
This site explains the Saccheri quadrilateral and the importance of his work in geometry.
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Unit Plan
Clark University

Clark University: Euclid's Elements

For Students 9th - 10th
A review of the 13 books of Euclid's "Elements" text can be found here. Each of the chapters are broken down into definitions, propositions, and common notations that are used throughout this overview.
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Article
Other

History World: History of Greek Science

For Students 9th - 10th
Presents the history of Greek science from the 6th century BC to the 2nd century AD. Navigate using the menu on the left. Covers major figures in science and mathematics, their theories and beliefs, and the influence they had, as well as...
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Article
Famous Scientists

Famous Scientists: Euclid

For Students 9th - 10th
Learn about the Greek scientist best known as the author of the Elements, the oldest book consisting of geometrical theorems which is considered to be a standard for logical exposition.