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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 2023-24

All times Pacific.

Saturday
3:00 – 4:45pm
Aug. 19 – June 1
ENROLL
Wednesday
5:00 – 6:45pm
Aug. 23 – May 29
TBA
ENROLL
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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
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10

General coaching classes at many academic training centers stress repetition of the concept until a student grasps it thoroughly. At AoPS Academy, they go far beyond repetition. Their highly qualified instructors do a great job at teaching fundamental concepts to students at much greater depth, and challenge them to walk that extra mile by presenting them with more complex problems to solve. It provides a great learning experience in a friendly, fun, yet competitive and challenging environment. They provide their students with a combination of excellent instructional curriculum along with amazing online tools. AoPS Academy also encourages students to take part in various competitions. Overall they do an incredible job imparting a deep knowledge of both math and language arts to all of their students, and AoPS Academy sets them on a path towards their career goals. We are happy to be part of AoPS Academy family!

Sandeep J.