Points, Lines and Planes -The Big 3 Undefined Terms
Rays, Line Segments and Angles-3 Big Definitions
Polygons -Multi-Sided Figures
Circles -Single Sided Figures
Congruency and Similarity-Ratios of Corresponding Parts
Coordinate Geometry -Where Figures are Located
Parallel and Perpendicular Lines -Intersection: Yes or No?
Logic and Reasoning-Pattern Recognition applied to Problem Solving
Transformations - Pattern Creation
Solid Figures -Rising Above the Page
Why the “Big Ideas of Geometry”
Sometimes math subjects become confusing when we try to analyze it and break it into
its different pieces. Often the result is an unending and incredibly complicated
list. Instead of making math clearer, these efforts often muddy the water even more.
(Just looking at a textbook’s table of contents or index can sometimes make us dizzy.)
Dr. James Choike out of Oklahoma State University is a teacher of high school math
teachers. He is always working on new ways to simplify all of the details of math
subjects into lists of less than a dozen topics. I always liked that idea.
By summarizing the subject of geometry into one page, it’s my hope that the subject
will become less intimidating for student and teacher alike.
So Dr. Choike, this page is dedicated to you with my take on the Big Ideas of Geometry.
I hope it meets with your approval.