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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 Pacific.

Sunday
12:45 – 2:30pm
Aug. 21, 2022 – June 4, 2023
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Sample Problems

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

Problem 0
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Our homeschooled son is extremely gifted in math and science.  He really feels at home at AoPS Academy.  Through coaching and personal attention at AoPS, he achieved a 5 in AP Calculus at 11 years old and a 4 in AP Statistics at 12.  He also achieved an 800 on SAT II math at 12 years old.  Our son feels very comfortable in the atmosphere of AoPS, where being gifted in math is not looked down on, but treated with respect.  He has truly found his peers at AoPS Academy. 

AoPS Academy allows my son to be himself, learn that there are other kids well advanced in math, and gives him the confidence to know that it is OK to be great in math, and that other people will respect and value his ability.

Neil D.