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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.

Syllabus


Schedule in 2023-24

All times Eastern.

Tuesday
4:30 – 6:15pm
Sep. 5, 2023 – June 18, 2024
ENROLL
5 spots left
Tuesday
6:45 – 8:30pm
Sep. 5, 2023 – June 18, 2024
WAITLIST
Wednesday
4:30 – 6:15pm
Sep. 6, 2023 – June 12, 2024
WAITLIST
Thursday
4:30 – 6:15pm
Sep. 7, 2023 – June 6, 2024
ENROLL
3 spots left
Thursday
6:45 – 8:30pm
Sep. 7, 2023 – June 6, 2024
ENROLL
2 spots left
Friday
4:30 – 6:15pm
Sep. 8, 2023 – June 14, 2024
WAITLIST
Saturday
10:15 – Noon
Sep. 9, 2023 – June 15, 2024
WAITLIST
Saturday
2:45 – 4:30pm
Sep. 9, 2023 – June 15, 2024
ENROLL
1 spot left
Sunday
10:15 – Noon
Sep. 10, 2023 – June 16, 2024
ENROLL
3 spots left
Sunday
5:00 – 6:45pm
Sep. 10, 2023 – June 16, 2024
WAITLIST
Sunday
5:00 – 6:45pm
Sep. 10, 2023 – June 16, 2024
ENROLL
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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