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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 Pacific.

Saturday
3:00 – 4:45pm
Aug. 19 – June 1
ENROLL
Sunday
12:45 – 2:30pm
Aug. 20 – June 2
TBA
ENROLL
Tuesday
6:30 – 8:15pm
Aug. 22 – May 28
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 truly a wonderful place to learn advanced concepts in math. The academy has highly qualified instructors who not only help kids learn rigorous math concepts in great depth, but also inspire them to achieve the lofty heights that they are capable of. The instructors are truly an inspiration for my children due to their thoughtful mentoring. Thank you for everything you do for our kids.

Praveen T.