Mathematics
This page shows the academic work of Joonyong Choi in the mathematics subjects throughout his high school years.
9th Grade
Honors Geometry
In my freshman year of high school, I took the Honors Geometry course for the mathematics subject. In this geometry class, I studied the fundamental topics of the subject, such as transformations, congruence, similarity, trigonometry, and circle properties. In addition to those geometry units, I also studied probability, which is pretty distant from geometry, as our class was challenged to exceed expectations as an Honors class. The course was rigorous as we not only studied how to solve questions but were tested on how to prove geometric properties using the CER (Claim, Evidence, Reasoning) chart. Also, I have demonstrated extraordinary passion through creative projects like the Mini Gold Trigonometry Project and the Art of Triangles Project, which was to design golf routes or creative shapes using the geometric properties I learned. For the Art of Triangles Project, I drew a mask and a virus using triangles and their transformation to symbolize the COVID-19 pandemic that spread during the time.
10th Grade
Honors Algebra Ⅱ
During 10th grade, I took the Honors Algebra Ⅱ course for my mathematics subject. In this course, I studied the fundamental concepts of algebra, such as basic functions, quadratics, polynomials, rationals, sequence and series, exponentials, and trigonometry. While going through these topics of algebra throughout my sophomore year, I exhibited exceptional performance and passion for mathematics. I have always scored high on tests or quizzes and have demonstrated a deep understanding of the concepts throughout individual and group projects. For example, I showed my deep understanding and application abilities of exponential functions in my individual Algebra Ⅱ Investments Project. Also, I have led the designated group during the Conic Crime Solvers Project and highly contributed to creating appropriate conic graphs (functions) and the documentation of the project.
11th Grade
AP Calculus BC
During my junior year, I took the AP Calculus BC course for my mathematics subject for the academic year. In this course, I studied the topics related to calculus overall, such as limits and continuity, differentiation of composite, implicit, and inverse functions, applications of differentiation, integration and accumulation of change, differential equations, applications of integration, parametric equations, polar coordinates, and infinite sequences and series. Since this course was a rigorous course focused on preparing for the AP Calculus BC exam in May 2023, it was mostly composed of quizzes and unit tests. In these quizzes and unit tests, I have scored the top of the course among the students, including juniors and seniors, and have won the mathematics subject award for the grade. This is evident in the “AP Calculus BC Tests” file, where the front pages of unit tests are combined for proof of my grades. In addition, I have demonstrated outstanding performance and passion in the two individual projects done during the year. For instance, in the Sports Analyst Assignment, I used linear regression to build a mathematical model and graphs to examine the feasibility of a swimming athlete actually attaining the time I predicted. Also, in the AP Calculus BC Final Assignment, I used Riemann Sum and definite integrals to approximate the area of the Northern Territory of Australia assigned to me.
