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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.

Saturday
10:15 – Noon
Aug. 26 – June 1
Michael Seablom
ENROLL
Sunday
2:45 – 4:30pm
Aug. 27 – June 2
Dr. David Elkin
ENROLL
Tuesday
6:45 – 8:30pm
Aug. 29 – May 21
Anna Perrin-Porzondek
ENROLL
Wednesday
6:45 – 8:30pm
Aug. 30 – May 22
Anna Perrin-Porzondek
ENROLL
Thursday
4:30 – 6:15pm
Aug. 31 – May 23
James Cho
WAITLIST
Friday
4:30 – 6:15pm
Sep. 1 – May 24
Ella Mihailescu, PhD
ENROLL
Friday
6:45 – 8:30pm
Sep. 1 – May 24
Ella Mihailescu, PhD
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

AoPS Academy is such a valuable resource for my two daughters and our family.  We kept hitting brick walls with our former school and the Director of AoPS Academy was the first person to honestly explain to us options and provide us with information so that we could make informed decisions about their education.  For that we are forever grateful and trust him beyond measure. AoPS Academy is far more than just an after-school academic training center. They have gone above and beyond to help our children's talents develop into their full potential.  Art of Problem Solving Academy will continue to be a key part of our long-term education plan.  The results have been amazing! They are truly my children’s first school, even though they are an after-school program!

Wendy D.