# AOPS Geometry I (Math Contest)

**Objective: **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 8, and AMC 10, with a few problems coming from even more advanced contests to stretch the strongest students. This course is specifically designed for high-performing students and draws material from many programs for top middle and high school students in the country.

AOPS Geometry is a two semester course (AOPS Geometry I in the summer semester and AOPS Geometry II in the fall semester). It covers a full honors geometry curriculum, plus many advanced problem solving geometric applications not found in a standard geometry class. Topics covered in the class include triangle similarity and congruence, complicated area problems, mastering the triangle, special quadrilaterals, polygons, the art of angle chasing, construction, power of a point, 3-dimensional geometry, transformations, analytic geometry, basic trigonometry, and geometric proofs.

**Prerequisite:** This course is suitable for driven students who have mastered the Algebra 1 course (equivalent to Algebra 1 or AOPS Algebra 1 Math Contest at Megrez). This group often includes students who are in grades 5, 6, 7, or 8 in spring 2022. Given the depth and breadth of the topics covered in this course, it can be very helpful developing problem solving and critical thinking skills even for students who have learned Geometry in the high school. Motivated students who are interested in challenging math problems can use this course to prepare testing out high school math courses and systematically prepare for future middle/high school math contests.

**Textbook:** The Art of Problem Solving – Introduction to Geometry, 2019 (2nd edition). Author: Richard Rusczyk. This course covers topics in the textbook in the summer and fall semesters. WE WILL NOTIFY YOU WHEN SUFFICIENT ENROLLMENT IS REACHED. YOU CAN PLACE THE BOOK ORDER UPON THE NOTIFICATION.

**Schedule**: Class will meet on each Sunday 1:30 pm – 3:00 pm ET from 06/19/2022 to 09/11/2022 (except for 07/03, 10 meetings in total): 06/19, 06/26, 07/10, 07/17, 07/24, 07/31, 08/07, 08/14, 08/21, 08/28/2022.

Small class for maximized individual attention: 5-10 students

ONLINE INSTRUCTION USING ZOOM IN A FACE-TO-FACE LIVE FASHION! Syllabus and coursework will be distributed in the course Curriculum section (course registration is required).

**Tuition: $240 ($24 per 1.5-hour class) non-refundable after first class.**

Schedule: Sundays 1:30 pm-3:00 pm ET from 06/19/2022 to 08/28/2022 (except for 07/03)