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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
Feb 18 - Aug 4
7:30 - 9:00
PM ET
Feb 18 - Aug 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
FULL
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
ENROLL
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
ENROLL
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, and November 25 ‐ December 1.

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

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! :)