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.
This course was funded in part by the Wertheimer Fund.
- 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