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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
Mar 23 - Sep 21
7:30 - 9:00
PM ET
Mar 23 - Sep 21
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
$710 (~$30/lesson)
$775 w/books
$710 (~$30/lesson)
With Books $775
CLOSED
Wednesday
Apr 23 - Oct 1
7:30 - 9:00
PM ET
Apr 23 - Oct 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
$710 (~$30/lesson)
$775 w/books
$710 (~$30/lesson)
With Books $775
ENROLL
Sunday
May 11 - Nov 9
7:30 - 9:00
PM ET
May 11 - Nov 9
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
$710 (~$30/lesson)
$775 w/books
$710 (~$30/lesson)
With Books $775
ENROLL
Tuesday
May 20 - Oct 28
7:30 - 9:00
PM ET
May 20 - Oct 28
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
$710 (~$30/lesson)
$775 w/books
$710 (~$30/lesson)
With Books $775
ENROLL
Monday
Jun 16 - Dec 8
7:30 - 9:00
PM ET
Jun 16 - Dec 8
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
$710 (~$30/lesson)
$775 w/books
$710 (~$30/lesson)
With Books $775
ENROLL
Friday
Jun 20 - Jan 9
7:30 - 9:00
PM ET
Jun 20 - Jan 9
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
$710 (~$30/lesson)
$775 w/books
$710 (~$30/lesson)
With Books $775
ENROLL
Sunday
Jun 29 - Jan 11
7:30 - 9:00
PM ET
Jun 29 - Jan 11
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
$710 (~$30/lesson)
$775 w/books
$710 (~$30/lesson)
With Books $775
ENROLL
Monday
Jul 14 - Jan 19
7:30 - 9:00
PM ET
Jul 14 - Jan 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
$710 (~$30/lesson)
$775 w/books
$710 (~$30/lesson)
With Books $775
ENROLL
Fall 2025This course will be offered in Fall 2025. Click here to join our mailing list to be notified when the course schedule is available.

AoPS Holidays

There are no classes May 24 ‐ 26, July 4 ‐ 6, August 29 ‐ September 1, October 31, November 24 ‐ November 30, and December 20, 2025 ‐ January 2, 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! :)