"Euclid's 'Elements' Redux" is an open textbook on mathematical logic and geometry based on Euclid's "Elements" for use in grades 7-12 and in undergraduate college courses on proof writing.

Many problem solvers throughout history wrestled with Euclid as part of their early education including Copernicus, Kepler, Galileo, Sir Isaac Newton, Ada Lovelace, Abraham Lincoln, Bertrand Russell, and Albert Einstein. This edition is part of an effort to ensure that tomorrow's great thinkers will have that same privilege.

Based on knowledge of the unit Circles, students see how sinusoids (Sine and coSine waves) get their shapes.

LINEAR TRANSFORMATIONs ON THE PLAIN .
INTRODUCTION TO ISOHEDRALS , BASIC BLOCKS TO SYMMETRIC TILING.
TESSELLATIONs (PERIODIC & APERIODIC)
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BRENIKOU , MACEDONIA EAST , HELLAS (GREECE).ARTIST (PAINTER & SCULPTOR) : EFSTRATOPOULOS NIKOLAOS ( efstrato71@gmail.com )MUSIC : Εύελδωρ - Λυρογηθής (ANCIEN...

In the first part of this video, we review the idea of flat space and the Pythagorean theorem. The second part of the video reviews ideas from trigonometry including the unit circle, sine, cosine, and pi. We conclude with a proof of an angle-sum identity.

Geometry is concerned with the various aspects of size, shape and space. In this unit, you will explore the concepts of angles, shapes, symmetry, area and volume through interactive activities.

This geometry lesson shows that that an inscribed angle is half of a central angle that subtends the same arc. [Geometry playlist: Lesson 24 of 31]

Motivated by questions in cosmology, the open-content text Geometry with an Introduction to Cosmic Topology uses Mobius transformations to develop hyperbolic, elliptic, and Euclidean geometry - three possibilities for the global geometry of the universe.

The text, written for students who have taken vector calculus, also explores the interplay between the shape of a space and the type of geometry it admits. Geometry is suitable for a semester course in non-Euclidean geometry or as a guide to independent study, with over 200 exercises and several essays on topics including the history of geometry, parallax and curvature, and research aimed at determining the shape of the universe.

A Google Drive folder created by Kevin Fink of materials for Math 2231 - Calculus with Analytical Geometry at the College of DuPage. This is intended to be a foundation for anyone wanting to teach Math 2231 where students would need to spend little to no money for materials during the semester. Includes links to a textbook on openstax, a myopenmath shell template, links to lecture videos, supplemental homework assignments and answers, and the materials for an Area project about approximating area under curves.This resource will be updated as needed. For the google drive folder and the most recent version, visit: https://drive.google.com/drive/folders/1KhhTIXOT2a0oEX1hqMIhDsNi4DaO6NSk?usp=sharing

This interactive textbook includes practice problems, examples, and chapters that range from calculating angles and probability to annuities and applying geometry. The content in this e-text was developed using a variety of open educational resources, that were remixed to fit a math applications course in higher education.

In this unit you will see first how to convert vectors from geometric form, in terms of a magnitude and direction, to component form, and then how conversion in the opposite sense is accomplished. The ability to convert between these different forms of a vector is useful in certain problems involving displacement and velocity, as shown in Section‘_2, in which you will also work with bearings.

This shows how Newton's method (also known as Newton-Raphson) is used to find a root of a function. You can show/hide various parts of the construction, and edit the particular function being considered.

Students will create their own sine function to match a picture of mountains. This will teach them what the coefficents of trig functions do.

This course has been designed to help students focus learning on specific areas of improvement. Unlike a typical college course where you would complete lessons in chronological order, this course allows you to focus on specific skills. Modules include: Arithmetic Review, Percents, Geometric Figures, Measurement, and Statistics

Simply shows multiplication of a vector by a scalar. Adjust he slider to adjust the multiple. Drag the point at the end of vector v to change the original vector.

This project will explore the idea of election fairness through the concept of Gerrymandering. Gerrymandering is a means of unfairly drawing district boundaries that favor one party over another.There are legal concepts and mathematical concepts that can be considered in determining the fairness of district boundaries.Objective: Students will:Explore shapes that create fair voting districts.Calculate compactness as a measure for voting fairness.Discuss the implications of using compactness to measure voting fairness.

This 10-minute video lesson shows that three points uniquely define a circle and that the center of a circle is the circumcenter for any triangle that the circle is circumscribed about.