Introduction to Geometry

Fundamentals of geometry, including angles, triangle similarity and congruence, complicated area problems, mastering the triangle, special quadrilaterals, polygons, the art of angle chasing, power of a point, 3-dimensional geometry, transformations, analytic geometry, basic trigonometry, geometric proof, and more.

This course is University of California a-g approved. Click here for more details.

24 weeks

Diagnostics

ARE YOU READY? DO YOU NEED THIS?

Documents

SYLLABUS
24 weeks ARE YOU READY? DO YOU NEED THIS?  

Schedule

Wednesday
May 24 - Nov 1
7:30 - 9:00
PM ET
May 24 - Nov 1
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$495
$552 w/books
$495
With Books $552
FULL
Thursday
Jun 8 - Nov 16
7:30 - 9:00
PM ET
Jun 8 - Nov 16
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$495
$552 w/books
$495
With Books $552
FULL
Monday
Jun 12 - Dec 4
7:30 - 9:00
PM ET
Jun 12 - Dec 4
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$495
$552 w/books
$495
With Books $552
WAITLIST
Friday
Jun 30 - Dec 15
7:30 - 9:00
PM ET
Jun 30 - Dec 15
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$495
$552 w/books
$495
With Books $552
ENROLL
2 spots left
Tuesday
Aug 8 - Feb 6
7:30 - 9:00
PM ET
Aug 8 - Feb 6
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$495
$552 w/books
$495
With Books $552
ENROLL
Wednesday
Sep 6 - Mar 7
7:30 - 9:00
PM ET
Sep 6 - Mar 7
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
TBA $495
$552 w/books
$495
With Books $552
ENROLL
Monday
Sep 18 - Mar 19
7:30 - 9:00
PM ET
Sep 18 - Mar 19
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
TBA $495
$552 w/books
$495
With Books $552
ENROLL
Friday
Oct 20 - Apr 20
7:30 - 9:00
PM ET
Oct 20 - Apr 20
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
TBA $495
$552 w/books
$495
With Books $552
ENROLL
Tuesday
Nov 28 - May 22
7:30 - 9:00
PM ET
Nov 28 - May 22
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
TBA $495
$552 w/books
$495
With Books $552
ENROLL

AoPS Holidays

There are no classes July 4, September 4, November 18 - 26, and December 21 - January 3.

Who Should Take?

This is the most challenging of our Introduction series of classes. We recommend that students complete our Introduction to Algebra B course, or are able to pass the Introduction to Algebra B post-test, prior to taking Introduction to Geometry.

Lessons

Lesson 1 Angles
Lesson 2 Triangle Angles and Congruent Triangles
Lesson 3 Isosceles & Equilateral Triangles, Perimeter, and Area
Lesson 4 Similar Triangles
Lesson 5 Similar Triangles and Right Triangles
Lesson 6 More Right Triangles!
Lesson 7 Special Parts of a Triangle
Lesson 8 Special Parts of a Triangle, Continued!
Lesson 9 Quadrilaterals
Lesson 10 More Quadrilaterals
Lesson 11 Polygons
Lesson 12 Geometric Inequalities
Lesson 13 Introduction to Circles
Lesson 14 Circles and Angles
Lesson 15 Tangents
Lesson 16 Power of a Point
Lesson 17 3D Geometry Part 1
Lesson 18 3D Geometry Part 2
Lesson 19 Transformations
Lesson 20 Analytic Geometry
Lesson 21 More Analytic Geometry
Lesson 22 Basic Trigonometry
Lesson 23 Problems!
Lesson 24 More Problems!

Required Textbook

Introduction to Geometry
By Richard Rusczyk
A full course in challenging geometry for students in grades 7-10, including topics such as similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, introductory trigonometry, and more.

This was the best and most enjoyable math course I have ever taken (and this is coming from an engineering major who sat through a lot of math/engineering classes). I had never learned geometry well back in high school and was only really good at the Pythagorean theorem/SAT geometry type stuff, so I really wanted to finally address this weak area of mine. Needless to say, this course went above and beyond my expectations. I have learned so much that I can now solve almost any Alcumus geometry problem, as well as most AMC geometry problems I've encountered, where just 5 months ago I could barely do any slightly tricky geometry problem.

ACS WASC
ACCREDITED
SCHOOL

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