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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.

24 weeks

Diagnostics

ARE YOU READY? DO YOU NEED THIS?

Documents

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

Schedule

Sunday
Oct 26 - Apr 26
7:30 - 9:00
PM ET
Oct 26 - Apr 26
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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
CLOSED
Monday
Nov 3 - May 4
7:30 - 9:00
PM ET
Nov 3 - May 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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
CLOSED
Friday
Dec 5 - May 29
7:30 - 9:00
PM ET
Dec 5 - May 29
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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
ENROLL
Monday
Jan 5 - Jun 22
7:30 - 9:00
PM ET
Jan 5 - Jun 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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
ENROLL
Sunday
Jan 25 - Jul 19
7:30 - 9:00
PM ET
Jan 25 - Jul 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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
ENROLL
Wednesday
Feb 11 - Jul 22
7:30 - 9:00
PM ET
Feb 11 - Jul 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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
ENROLL
Thursday
Mar 5 - Aug 13
7:30 - 9:00
PM ET
Mar 5 - Aug 13
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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
ENROLL
Sunday
Mar 22 - Sep 20
7:30 - 9:00
PM ET
Mar 22 - Sep 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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
ENROLL
Tuesday
Apr 21 - Sep 29
7:30 - 9:00
PM ET
Apr 21 - Sep 29
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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
ENROLL

AoPS Holidays

There are no classes December 20 ‐ January 2, May 23 ‐ 25, July 3 ‐ 5, September 5 ‐ 7, October 31, and November 23 ‐ 29 2026.

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

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

I don't even know where to begin! This class has really given me a better outlook on geometric topics and made me learn to love geometry just as much as algebra! I love how the class provided us more material to cover than regular school curriculums and also gave us problem solving strategies along the way! The teachers helped me a lot and as this is my fourth AoPS class, I really enjoyed spending 24 weeks together learning and soaking in all that the teacher had to say! Unfortunately, it makes me sad to see the class ending because I couldn't have asked for a better way to spend my Tuesday nights! I absolutely loved this class and I can't wait to see what else AoPS has in store! :)