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Introduction to Algebra B
Summary
Part of our introductory math series, Introduction to Algebra B builds on the foundations of Algebra A and extends into more complex topics beyond the standard school curriculum. Fundamental concepts of algebra, including quadratics, systems of equations, clever factorizations, complex numbers, functions, graphing, sequences and series, and special functions, are covered in this course.
This advanced math course is offered in two formats: a live online course or a self-paced course. Both formats include instructor feedback and a class message board for student support.
Introduction to Algebra B: Weekly Live
Length: 16 Weeks
Our live Introduction to Algebra B course brings together advanced problem solvers from around the world for 90-minute classes. Experienced instructors lead students to creatively problem-solve with quadratics, systems of equations, clever factorizations, complex numbers, functions, graphing, sequences and series, special functions, exponents and logarithms, and more.
Students learn from our Introduction to Algebra textbook and videos, while honing their skills on various types of engaging homework problems. They can also use the class message board to collaborate with their peers and reach out to instructors outside of class.
Live Online Course Features
Why AoPS?
Extraordinary Live Instruction from Accomplished Faculty
Dana Paquin
Brian Edwards
Josh Zucker
Ashley Ahlin
Miles Dillon Edwards
Our teachers were outstanding math students themselves, and many were winners of major math awards as well as recipients of degrees from schools like MIT, Harvard, Stanford, and Princeton. Our instructors understand from their personal experiences how to inspire and challenge eager learners, and they serve as role models for our students who aspire to similar success.
Active Learning
Students learn best by actively engaging with challenging problems. Our lessons start with thought-provoking questions, encouraging independent insights and problem-solving strategies. Instructors offer hints and guidance as needed and reinforce key concepts after problems are solved. To support diverse learning styles, we provide live classes, textbooks, videos, homework problems, and opportunities for discussion with instructors and peers.
Focus on Non-Routine, Challenging Problems
In today's world, many jobs previously requiring routine problem-solving are now handled by computers. To prepare students for the future, we focus on teaching them how to apply core principles to new, non-routine problems. This approach ensures that students develop essential skills for top-tier colleges and competitive careers, preparing them for lifelong learning rather than rote memorization.
Schedule: Introduction to Algebra B
The current and upcoming sections of this course are listed below. All sections cover the same course material.
|
Thursday
Feb 13 - May 29 |
7:30 - 9:00 PM ET
Feb 13 - May 29
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Sarah Seales |
$485
(~$31/lesson)
$552 w/books
|
$485
(~$31/lesson)
CLOSED
$552 w/books
|
|
Sunday
Mar 2 - Jun 22 |
7:30 - 9:00 PM ET
Mar 2 - Jun 22
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Christian Hokaj |
$485
(~$31/lesson)
$552 w/books
|
$485
(~$31/lesson)
CLOSED
$552 w/books
|
|
Wednesday
Apr 16 - Jul 30 |
7:30 - 9:00 PM ET
Apr 16 - Jul 30
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Jeffrey Hankins |
$485
(~$31/lesson)
$552 w/books
|
$485
(~$31/lesson)
ENROLL
$552 w/books
|
|
Tuesday
May 6 - Aug 19 |
7:30 - 9:00 PM ET
May 6 - Aug 19
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Grace Unger |
$485
(~$31/lesson)
$552 w/books
|
$485
(~$31/lesson)
ENROLL
$552 w/books
|
|
Wednesday
Jun 4 - Sep 17 |
7:30 - 9:00 PM ET
Jun 4 - Sep 17
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Dylon Chow |
$485
(~$31/lesson)
$552 w/books
|
$485
(~$31/lesson)
ENROLL
$552 w/books
|
|
Sunday
Jun 22 - Oct 19 |
7:30 - 9:00 PM ET
Jun 22 - Oct 19
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Angel Bell |
$485
(~$31/lesson)
$552 w/books
|
$485
(~$31/lesson)
ENROLL
$552 w/books
|
|
Friday
Jul 18 - Nov 14 |
7:30 - 9:00 PM ET
Jul 18 - Nov 14
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Orianne Luo |
$485
(~$31/lesson)
$552 w/books
|
$485
(~$31/lesson)
ENROLL
$552 w/books
|
| Fall 2025 | This course will be offered in Fall 2025. Click here to join our mailing list to be notified when the course schedule is available. | |||
AoPS Holidays
Who Should Take This Class?
Students are ready for this class if they have mastered square roots and fractional exponents, order of operations, linear equations and inequalities, ratio, and proportion. We recommend that students have experience with factoring quadratics prior to taking this course.
- To determine if you’re ready for the course, students can take the diagnostic pretest.
- To determine if you need this course or can move on to the next, students can take the diagnostic post-test.
Please note: Our algebra sequence will likely not match up exactly with your school's. Most students who have completed our Introduction to Algebra A course or a high-level honors Algebra 1 course in school are ready for this class. However, we encourage students to take our Introduction to Counting & Probability class before beginning this course. Visit our Recommendations page for help in choosing the right class.
Weekly Live vs. Self-Paced
Our weekly live class is designed for students who prefer a live group experience. In this format, students learn in an online classroom, engaging in real-time with their instructor and peers. For students interested in setting their own study schedule, we recommend considering the self-paced version of this course.
- Factoring quadratics
- Sums and products of roots of a quadratic
- Simon's favorite factoring trick
- Introduction to complex numbers
- Completing the square
- Proving the quadratic formula
- Parabolas
- Circles
- Quadratic inequalities
- Beyond quadratics
- Quadratic optimization
- The AM-GM inequality
- What is a function?
- Adding, subtracting, multiplying, and dividing functions
- Function composition
- Inverse functions
- Transformations
- Graphs of inverse functions
- What is a polynomial?
- Adding and multiplying polynomials
- Compound interest
- Logarithms
- Radicals
- Absolute value
- Floor and ceiling
- Rational functions
- Piecewise-defined functions
- Arithmetic sequences
- Arithmetic series
- Geometric sequences
- Geometric series
- Telescoping series
- Self-similarity
- Symmetry
Required Textbook
Related courses: Introduction to Algebra A and Introduction to Algebra B
