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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 2022-23

All times Pacific.

Saturday
2:45 – 4:30pm
Aug. 13, 2022 – May 20, 2023
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Sunday
12:45 – 2:30pm
Aug. 14, 2022 – May 21, 2023
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Sunday
5:00 – 6:45pm
Aug. 14, 2022 – May 21, 2023
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Sunday
5:15 – 7:00pm
Aug. 14, 2022 – May 21, 2023
ENROLL
Monday
4:00 – 5:45pm
Aug. 15, 2022 – May 22, 2023
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Tuesday
5:00 – 6:45pm
Aug. 16, 2022 – May 16, 2023
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Wednesday
3:45 – 5:30pm
Aug. 17, 2022 – May 17, 2023
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Thursday
6:00 – 7:45pm
Aug. 18, 2022 – May 18, 2023
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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 homeschooled son is extremely gifted in math and science.  He really feels at home at AoPS Academy.  Through coaching and personal attention at AoPS, he achieved a 5 in AP Calculus at 11 years old and a 4 in AP Statistics at 12.  He also achieved an 800 on SAT II math at 12 years old.  Our son feels very comfortable in the atmosphere of AoPS, where being gifted in math is not looked down on, but treated with respect.  He has truly found his peers at AoPS Academy. 

AoPS Academy allows my son to be himself, learn that there are other kids well advanced in math, and gives him the confidence to know that it is OK to be great in math, and that other people will respect and value his ability.

Neil D.