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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.

Syllabus


Schedule in 2022-23

All times Eastern.

Tuesday
6:45 – 8:30pm
Sep. 6, 2022 – June 6, 2023
WAITLIST
Thursday
4:00 – 5:45pm
Sep. 8, 2022 – June 1, 2023
ENROLL
Friday
4:30 – 6:15pm
Sep. 9, 2022 – June 9, 2023
WAITLIST
Saturday
12:30 – 2:15pm
Sep. 10, 2022 – June 10, 2023
ENROLL
1 spot left
Sunday
12:30 – 2:15pm
Sep. 11, 2022 – June 11, 2023
ENROLL
5 spots left
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 a superb curriculum, combined with outstanding teachers who have provided our son a fantastic foundation in mathematics. If only I could have experienced teaching like this when I was young, it would have changed my career choice. The academy is a perfect extension of school in that they challenge students to learn at a much deeper and rigorous level. They also stimulate their interest in mathematics by emphasizing analytical thought over rote memorization of formulas.

The academy truly lays a deep foundation in mathematical thinking for success in all areas involving STEM subjects. It is really exciting to be among teachers and children who love math!

The harder the problem - the more exciting it is to the students and teachers at AoPS Academy.

Molly and Richard T.