It's not too late to sign up for Academic Year courses! VIEW COURSES

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.

Syllabus


Schedule in 2022-23

All times Pacific.

Saturday
10:15 – Noon
Aug. 13, 2022 – June 3, 2023
ENROLL
Saturday
2:45 – 4:30pm
Aug. 13, 2022 – June 3, 2023
ENROLL
2 spots left
Sunday
2:45 – 4:30pm
Aug. 14, 2022 – June 4, 2023
ENROLL
Sunday
5:00 – 6:45pm
Aug. 14, 2022 – June 4, 2023
ENROLL
4 spots left
Wednesday
4:00 – 5:45pm
Aug. 17, 2022 – May 31, 2023
WAITLIST
Thursday
6:15 – 8:00pm
Aug. 18, 2022 – June 1, 2023
ENROLL
2 spots left
Friday
4:00 – 5:45pm
Aug. 19, 2022 – June 2, 2023
WAITLIST
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 has provided a wonderful opportunity for my children to advance and hone their knowledge and skills in mathematics.  My children have attended for a few years now, and they love it. They always look forward to attending class. I truly admire the hard work and dedication of all of the staff towards making AoPS Academy a center of excellence for math and language arts.  Both of my sons, one in high school and one in middle school, are ahead of their schoolmates in their math classes.  Not only that, they have both developed a love for this subject aided by the exposure they have received at AoPS Academy. They enjoy the interactive method of teaching, and look forward to their classes. The courses offered at AoPS Academy keep them engaged and challenged. The focus on high achieving students, along with their selective admissions standards, helps to maintain high standards. I have many business associates and friends around the United States, and have told them about AoPS Academy. They are so envious that we have such a wonderful opportunity for such rigorous instruction with the Art of Problem Solving world class curriculum. I look forward to the day when there will be an AoPS Academy in every major city in the country.

Sumali S.