New classes are starting soon! Enroll 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

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
CLOSED
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
CLOSED
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
CLOSED

STARTING SOON

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
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
ENROLL
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
ENROLL
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

AoPS Holidays

There are no classes May 23 ‐ 25, July 3 ‐ 5, September 5 ‐ 7, October 31, November 23 ‐ 29, December 21 ‐ January 3, and February 13 - 15 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

Not only did Introduction to Geometry help me become a better math student, it also helped me to think more abstractly and look for multiple roads to solve a problem. This class challenged me to become a better thinker.