Curated OER
Properties of Fractals
Students build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using...
Curated OER
Measuring The Earth
High schoolers use their geometry and trigonometry skills to determine the distance between their school and another school.
Curated OER
Properties of Fractals
Young scholars build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by...
Cuemath
Cuemath: Euclidean Geometry
Explore the world of Euclidean geometry by understanding euclidean and non-euclidean geometry, the postulates and axioms, and how to apply them while solving problems. Check-out the solved examples for better understanding and try your...
University of St. Andrews (UK)
University of St. Andrews: Non Euclidean Geometry
The University of St. Andrews in Scotland provides an excellent site explaining Non-Euclidean geometry.
Mathigon
Mathigon: Geometry: Euclidean Geometry: Definitions
This lesson focuses on Euclidean Geometry terminology; such as line, point, line segment, congruence, circle, radius, ray, and more. It defines each term and provides an example of each.
Mathigon
Mathigon: Euclidean Geometry: Origami and Paper Folding
This lesson focuses on a different way to construct geometric figures without tools, Origami. The goal is to make objects out of one or more sheets of paper, without any additional tools like glue or scissors. You can create incredibly...
Oswego City School District
Regents Exam Prep Center: Indirect Euclidean Proofs
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.
Oswego City School District
Regents Exam Prep Center: Writing a Proof: Direct Euclidean Proofs
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...
Mathigon
Mathigon: Euclidean Geometry: Geometric Construction
This lesson focuses on the history of geometric construction beginning with Euclid's Axioms to the simple tools such as the straight edge and the compass.
Mathigon
Mathigon: Euclidean Geometry: Euclid's Axioms
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...
Mathigon
Mathigon: Euclidean Geometry: Introduction
Mathematicians in ancient Greece were amazed by mathematical patterns, and wanted to explore and explain them. They began to study mathematics just "for fun" without a specific application in mind. One of these mathematicians, Thales of...
Khan Academy
Khan Academy: The Euclidean Algorithm
As related to cryptography, understanding and providing proof of the Euclidian Algorithm.
Oswego City School District
Regents Exam Prep Center: Lines and Planes
Use these resources in preparing instruction on undefined terms (points, lines, and planes), theorems relating lines and planes, and Euclidean and non-Euclidean geometry. You'll find three lessons on the aforementioned subject areas, an...
University of Regina (Canada)
University of Regina: Math Central: Greatest Common Divisor and Least Common Multiple
Learn about the greatest common divisor, the least common multiple, and the Euclidean Algorithm. This resource gives a description of each of these concepts, accompanied by several examples.
Wolfram Research
Wolfram Math World: Distance
MathWorld.com gives a formula for finding distance using the Pythagorean theorem. The formula for finding the distance between two points in Euclidean space is given on this page. The page has links to related topics.
Khan Academy
Khan Academy: Intro to Vectors
An introduction to the most basic building block for programming motion--the vector. In JavaScript referring to a Euclidean vector defined as an entity that has both magnitude and direction.
Wolfram Research
Wolfram Mathworld: Elliptic Geometry
MathWorld offers a brief definition of elliptic geometry and including a brief discussion of its relationship to Euclidean geometry, with links to other related definitions.
City University of New York
Lehman College: An Introduction to Lines
Use this site for two short lesson plans regarding Euclidean and Spherical lines. Intersecting and parallel lines are discussed. The lesson contains activities for two days of class.
Wolfram Research
Wolfram Math World: Euclid: The Elements
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.
Wolfram Research
Wolfram Math World: Golden Ratio
Math World explains the Golden Ratio, gives the formula for finding the irrational number, and expresses this value as an infinite series. Also defines and represents the Ratio geometrically, its relationship to the Fibonacci numbers,...
Wolfram Research
Wolfram Math World: Geometry
This MathWorld tutorial provides detailed overviews of the concepts and theorems associated with geometry. Most of the Math World sites are extensive and some require higher math knowledge to understand, links to terms and topics are...
Shodor Education Foundation
Shodor Interactivate: Lesson: The Mandelbrot Set
In this instructional activity students will explore Julia sets and the Mandelbrot set. In the process they will learn about fractals and explore complex numbers and function iteration.
University of Massachusetts
Fractal Project: Exploring Fractals
A good beginner's site for fractals - the language is straightforward and requires only minimal experience to be able to understand the topic. (Note: When clicking on links on archived site, they may pause and appear not to be found...
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