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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.


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 2022-23

All times Eastern.

12:30 – 2:15pm
Aug. 20, 2022 – June 3, 2023
2:45 – 4:30pm
Aug. 21, 2022 – June 4, 2023
1 spot left
7:15 – 9:00pm
Aug. 22, 2022 – May 22, 2023
2 spots left
7:15 – 9:00pm
Aug. 24, 2022 – May 24, 2023
7:15 – 9:00pm
Aug. 25, 2022 – May 25, 2023
2 spots left
7:15 – 9:00pm
Aug. 26, 2022 – June 2, 2023
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

AoPS Academy is truly a wonderful place to learn advanced concepts in math. The academy has highly qualified instructors who not only help kids learn rigorous math concepts in great depth, but also inspire them to achieve the lofty heights that they are capable of. The instructors are truly an inspiration for my children due to their thoughtful mentoring. Thank you for everything you do for our kids.

Praveen T.