Art of Problem Solving

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

Visit AoPS Online

Books for Grades 5-12 Online Courses

Engaging math books and online learning for students ages 6-13.

Visit Beast Academy

Books for Ages 6-13 Beast Academy Online

Small live classes for advanced math and language arts learners in grades 2-12.

Visit AoPS Academy

Find a Physical Campus Visit the Virtual Campus

JavaScript is not enabled. JavaScript is required to fully utilize the site.

Algebra 1

Academic Year Mathematics

In Algebra 1, students engage with various expressions from an algebraic and geometric perspective. They learn to solve linear and quadratic equations as well as how to represent expressions in the Cartesian plane. Students are imbued with a deep understanding of the general concept behind functions and are introduced to several important types of functions. Students are also introduced to the rich field of complex numbers. As with previous courses, we continue to emphasize challenging word problems to train students how to apply their new tools. Advanced problems from contests such as MATHCOUNTS, AMC 8, and AMC 10 are included throughout the course.

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 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 1 course.

Problem 0

Problem 1

Problem 2

Problem 3

Problem 4

Problem 6

Problem 7

Problem 9

Problem 10

Problem 11

Problem 12

Virtual Campus Schedule

Fremont Campus Schedule

Irvine Campus Schedule

Pleasanton Campus Schedule

San Diego Campus Schedule

Santa Clara Campus Schedule

Lexington Campus Schedule

Gaithersburg Campus Schedule

Morrisville Campus Schedule

Princeton Campus Schedule

Frisco Campus Schedule

Vienna Campus Schedule

Bellevue Campus Schedule

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.