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Algebra 1

Academic Year Mathematics
Schedule in 2024-25

All times Pacific.

2:45 – 4:30pm
Aug. 25 – June 8
6:45 – 8:30pm
Aug. 27 – June 10
5:00 – 6:45pm
Aug. 28 – June 11
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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.


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

Our family regularly talks about AoPS. We try to think about how our life would be different without you all. What if my daughter hadn't learned to love math? What if she never experienced being pushed to her limits? Overcoming failure? She wouldn't be who she is. And she is AWESOME! A very proud mom here. We are so fortunate that we found AoPS Academy. I credit AoPS for much of her confidence.

Kelly B.,

AoPS Academy parent to 16-year-old engineering major at UW and future cancer researcher