Art of Problem Solving

Math texts, online classes, and more for students in grades 5-12.

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Algebra 2

Academic Year Mathematics

In Algebra 2, students continue their study of algebraic functions and applications. We begin by reviewing key concepts from Algebra 1, then expand upon them to solve even more challenging problems. Students explore the rich field of polynomials and build foundations for calculus through the study of sequences and series. They are exposed to a variety of important algebraic forms and functions, and are equipped with the tools necessary for understanding new forms and functions they'll encounter in the future. We also lay the groundwork for navigating optimization problems with a study of inequalities. Many challenging problems in this course are drawn from contests such as AMC 10, AMC 12, AIME, and the Harvard-MIT Math Tournament.

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 Intermediate Algebra 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.

Sample Problems

Below are examples of some of the types of problems that students will encounter in our Algebra 2 course.

Problem 0

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

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My children have been students of AoPS Academy for several years now. The staff is very good at identifying and encouraging high achieving students to attain their fullest potential. The instructors engage kids to solve tough math problems, and push them to think logically and come up with unique solutions, instead of following a memorized formula. I have witnessed many classes where students are given the opportunity to suggest multiple ways of approaching the same problem. This has really helped my children develop independent learning skills and a stronger foundation in mathematics. The staff truly care for each and every student’s growth. Every child gets an abundance of individual attention. Programs such as the math competition classes, MATHCOUNTS Trainer Contest, and Short Story Contest really challenge the kids to reach up to the next level. The language arts classes like Debate & Public Speaking and College Essay Writing provide a much higher quality of education for their students. Thank you so much for being such a valuable resource for my children.

Usha D.