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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

Saturday
Mar 9 - Aug 24
1:00 - 2:30
PM ET  
Mar 9 - Aug 24
1:00 - 2:30 PM Eastern
12:00 - 1:30 PM Central
11:00 - 12:30 PM Mountain
10:00 - 11:30 AM Pacific
Click here to see more time zones
$690 (~$29/week)
$755 w/books
$690 (~$29/week)
With Books $755
CLOSED
Wednesday
Mar 27 - Sep 4
7:30 - 9:00
PM ET
Mar 27 - Sep 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
$690 (~$29/week)
$755 w/books
$690 (~$29/week)
With Books $755
CLOSED
Monday
Apr 29 - Oct 21
7:30 - 9:00
PM ET
Apr 29 - Oct 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
$690 (~$29/week)
$755 w/books
$690 (~$29/week)
With Books $755
ENROLL
Tuesday
May 14 - Oct 22
7:30 - 9:00
PM ET
May 14 - Oct 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
$690 (~$29/week)
$755 w/books
$690 (~$29/week)
With Books $755
ENROLL
Friday
May 24 - Nov 8
7:30 - 9:00
PM ET
May 24 - Nov 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
$690 (~$29/week)
$755 w/books
$690 (~$29/week)
With Books $755
ENROLL
Sunday
Jun 23 - Dec 15
7:30 - 9:00
PM ET
Jun 23 - 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
$690 (~$29/week)
$755 w/books
$690 (~$29/week)
With Books $755
ENROLL
Tuesday
Jun 25 - Dec 10
7:30 - 9:00
PM ET
Jun 25 - Dec 10
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
$690 (~$29/week)
$755 w/books
$690 (~$29/week)
With Books $755
ENROLL
Wednesday
Jul 17 - Jan 15
7:30 - 9:00
PM ET
Jul 17 - Jan 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
$690 (~$29/week)
$755 w/books
$690 (~$29/week)
With Books $755
ENROLL

AoPS Holidays

There are no classes May 25 ‐ 27, July 4, August 30 ‐ September 2, November 25 ‐ December 1, and December 21, 2024 ‐ January 3, 2025.

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.
Related course: Introduction to Geometry

This course was very helpful, and it was a great way to learn geometry. I had a lot of fun doing the problem sets and in class. Some of the problems were very challenging but it was very satisfying if I was able to solve them. I am very glad I took this course and am excited to move on to other math next year.