Summer is a great time to explore cool problems to keep your skills sharp! Schedule a class today!

Need Help?

Need help finding the right class? Have a question about how classes work?

Click here to Ask AoPS!

Scholars Math 8: 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.
Required Text:
Introduction to Geometry

24 weeks

Diagnostics

ARE YOU READY? DO YOU NEED THIS?

Documents

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

Schedule

Sunday
May 10 - Nov 8
7:30 - 9:00
PM ET
May 10 - 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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
CLOSED
Friday
May 22 - Nov 6
7:30 - 9:00
PM ET
May 22 - Nov 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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
CLOSED

STARTING SOON

Sunday
Jun 14 - Dec 13
7:30 - 9:00
PM ET
Jun 14 - Dec 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
Tuesday
Jun 23 - Dec 8
7:30 - 9:00
PM ET
Jun 23 - 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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
ENROLL
Monday
Jul 13 - Jan 18
7:30 - 9:00
PM ET
Jul 13 - Jan 18
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
Aug 12 - Feb 10
7:30 - 9:00
PM ET
Aug 12 - Feb 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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
ENROLL
Sunday
Sep 13 - Mar 21
7:30 - 9:00
PM ET
Sep 13 - Mar 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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
ENROLL
Monday
Sep 21 - Mar 29
7:30 - 9:00
PM ET
Sep 21 - Mar 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
Thursday
Oct 8 - Apr 8
7:30 - 9:00
PM ET
Oct 8 - Apr 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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
ENROLL
Sunday
Nov 8 - May 16
7:30 - 9:00
PM ET
Nov 8 - May 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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
ENROLL
Tuesday
Dec 1 - May 25
7:30 - 9:00
PM ET
Dec 1 - May 25
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
Spring 2027This course will be offered in Spring 2027. Click here to join our mailing list to be notified when the course schedule is available.

AoPS Holidays

There are no classes July 3 ‐ 5, September 5 ‐ 7, November 23 ‐ 29, December 21 ‐ January 3, February 13 - 15, and May 29 ‐ May 31 2027.

Who Should Take?

This is the most challenging of our Introduction series of classes. We recommend that students complete our Honors or Scholars Math 7: Introduction to Algebra (Part 2) course, or are able to pass the Honors and Scholars Math 7: Introduction to Algebra (Part 2) post-test, prior to taking Scholars Math 8: 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 Text

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: Math 8: 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.