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Introduction to Geometry

Online Free Online Course by  edX
Online / Free Online Course

Details

Measure angles, prove geometric theorems, and discover how to calculate areas and volumes in this interactive course!

About this course

More than 2000 years ago, long before rockets were launched into orbit or explorers sailed around the globe, a Greek mathematician measured the size of the Earth using nothing more than a few facts about lines, angles, and circles. This course will start at the very beginnings of geometry, answering questions like "How big is an angle?" and "What are parallel lines?" and proceed up through advanced theorems and proofs about 2D and 3D shapes. Along the way, you'll learn a few different ways to find the area of a triangle, you'll discover a shortcut for counting the number of stones in the Great Pyramid of Giza, and you'll even come up with your own estimate for the size of the Earth.
 
In this course, you'll be able to choose your own path within each lesson, and you can jump between lessons to quickly review earlier material. GeometryX covers a standard curriculum in high school geometry, and CCSS (common core) alignment is indicated where applicable.

Learn more about our High School and AP* Exam Preparation Courses

This course was funded in part by the Wertheimer Fund.

What you'll learn
  • How to measure angles, and rules for determining when angles are congruent
  • How to prove and apply properties of triangles, quadrilaterals, and other polygons
  • How to calculate the areas of polygons, circles, ellipses, and other complex shapes
  • How to prove and apply the Pythagorean theorem
  • How line segments and angles in circles are related
  • How to calculate the volumes and surface areas of three-dimensional solids

Outline

Speaker/s

Zach Wissner-Gross
Zach is the CEO of School Yourself. He completed his doctorate in Physics at Harvard, where he won multiple teaching awards, including Harvard's White Award for Excellence in Teaching. He is a Hertz Fellow, and has authored papers in neuroscience, biophysics, and biotechnology, as well as three interactive math textbooks with the School Yourself team.

John Lee
John is the CTO of School Yourself, and is a software engineer with a background in artificial intelligence and data mining. As a Senior Software Engineer at Google, he led the data extraction team on experimental projects to mine knowledge from the open Web and push the boundaries of open-domain question answering. He studied Physics and Computer Science at MIT and completed his Masters in Computer Science and Engineering at MIT.

Vivek Venkatachalam

Vivek completed his doctorate in low energy physics at Harvard, where he studied robust approaches to quantum computation. He is currently a postdoctoral fellow at Harvard, where he uses optical tools to study learning and memory in individual neurons. He has taught electromagnetism and quantum mechanics at both MIT and Harvard, for which he has earned teaching distinctions.

Kenny Peng
Kenny is a software engineer with experience in creating performant technical infrastructure. Prior to School Yourself, he worked at Athena Capital Research as one of the lead engineers on a platform for high-frequency trading. As a former member of the Singapore-MIT GAMBIT Game Lab, he worked on projects involving innovative technologies and concepts, such as Ochos Locos, a card game for the OLPC with its own modifiable engine, and Oozerts for Nintendo DS.

Michael Fountaine

Michael is an undergraduate at Harvard, where he studies Mathematics. While teaching, he strives to promote abstract reasoning and intellectual curiosity. Previously, Michael worked on the Large Hadron Collider's ATLAS experiment, writing software for its detectors.

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