Art of Problem Solving

Math texts, online classes, and more for students in grades 5-12.

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Geometry

Academic Year Mathematics

Geometry introduces students to spatial thinking. Students learn to dissect complex geometrical configurations, applying what they’ve learned to arrive at key insights and novel understandings. Geometry problems are also tackled analytically by placing them on the Cartesian plane. In addition, we build the foundations for precalculus and calculus by introducing students to trigonometry. Many of the challenging problems from this course come from contests such as MATHCOUNTS, AMC 10, and AMC 12, with a few problems coming from even more advanced contests to stretch the strongest students.

Homework and exams

Students should expect to spend 1-3 hours on homework every week. Homework will be assigned and completed through the class website, where students receive immediate feedback on their work. Students will take three in-class exams throughout the course.

Textbook

The textbook for the course is Introduction to Geometry by Art of Problem Solving.

Hardcopy and lifetime digital access to the online version of the textbook are included in the tuition and fees of this course.

Schedule in 2023-24

All times Pacific.

Select Day of the Week

Only show open classes

Friday

6:30 – 8:15pm

Aug. 18 – May 31

Bill Zabor

WAITLIST

Saturday

10:00 – 11:45am

Aug. 19 – June 1

Peter Kane

ENROLL

Saturday

5:00 – 6:45pm

Aug. 19 – June 1

Uma Sridevi Nadiminti

ENROLL

Sunday

10:00 – 11:45am

Aug. 20 – June 2

Dr. Shanshan Wu

ENROLL

5 spots left

Sunday

2:45 – 4:30pm

Aug. 20 – June 2

Peter Kane

ENROLL

Tuesday

4:15 – 6:00pm

Aug. 22 – May 28

Uma Sridevi Nadiminti

ENROLL

Wednesday

6:30 – 8:15pm

Aug. 23 – May 29

Marcia Chron

ENROLL

Thursday

6:30 – 8:15pm

Aug. 24 – May 30

Marcia Chron

ENROLL

Don't see a class option that works for you? Fill out this course interest form to be notified if new class options are opened!

Sample Problems

Below are examples of some of the types of problems that students will encounter in our Geometry course.

Problem 0

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

My children have been students of AoPS Academy for several years now. The staff is very good at identifying and encouraging high achieving students to attain their fullest potential. The instructors engage kids to solve tough math problems, and push them to think logically and come up with unique solutions, instead of following a memorized formula. I have witnessed many classes where students are given the opportunity to suggest multiple ways of approaching the same problem. This has really helped my children develop independent learning skills and a stronger foundation in mathematics. The staff truly care for each and every student’s growth. Every child gets an abundance of individual attention. Programs such as the math competition classes, MATHCOUNTS Trainer Contest, and Short Story Contest really challenge the kids to reach up to the next level. The language arts classes like Debate & Public Speaking and College Essay Writing provide a much higher quality of education for their students. Thank you so much for being such a valuable resource for my children.

Usha D.