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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

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
CLOSED
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
Few Spots Left!

STARTING SOON

Friday
Aug 28 - Feb 26
7:30 - 9:00
PM ET
Aug 28 - Feb 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
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
Wednesday
Jan 6 - Jun 16
7:30 - 9:00
PM ET
Jan 6 - Jun 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
Thursday
Jan 28 - Jul 8
7:30 - 9:00
PM ET
Jan 28 - Jul 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
Feb 21 - Aug 15
7:30 - 9:00
PM ET
Feb 21 - Aug 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
$735 (~$31/lesson)
$800 w/books
$735 (~$31/lesson)
With Books $800
ENROLL
Tuesday
Mar 2 - Aug 10
7:30 - 9:00
PM ET
Mar 2 - Aug 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
Mar 28 - Sep 26
7:30 - 9:00
PM ET
Mar 28 - Sep 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
ENROLL
Summer 2027This course will be offered in Summer 2027. Click here to join our mailing list to be notified when the course schedule is available.

AoPS Holidays

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

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! :)