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Introduction to Algebra B Self-Paced
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: Self-Paced
Length: 70 Lessons
In our self-paced Introduction to Algebra B course, students proceed at their preferred pace through a series of automated mathematical conversations. For the independently motivated learner, interactive automated instruction replaces live class meeting times.
Self-paced math classes offer live interaction through the class message board, where students can collaborate with peers and get support from instructors. We reinforce lessons with our Introduction to Algebra textbook and videos, as well as multiple types of homework problems.
Although many students complete Algebra B in 3–6 months, we offer unlimited class access for 9 months.
What's Included?
Why AoPS?
Innovative Interactive Instruction
In our self-paced courses, students progress through interactive lessons that engage them in mathematical conversations, guiding them step-by-step and addressing common misconceptions. Students learn in various ways, so we offer multiple learning avenues: interactive lessons, a textbook, videos, diverse homework problems, and opportunities to engage in discussions with instructors and peers on the class message board.
Active Learning
Learning is not a spectator sport, and students learn best by tackling hard problems themselves. Our lessons start with challenging questions to help students develop new mathematical strategies. If students get stuck, our learning technology supplies helpful hints and adapts lesson structure to further reinforce key concepts.
Focus on Non-Routine, Challenging Problems
To prepare our students for the challenges of tomorrow, we teach them how to apply fundamentals to different types of problems, not just variations on the same problem they’ve seen before. Building a critical problem-solving skill set, our students are prepared for the rigors of top-tier colleges and internationally competitive careers.
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 (at least chapters 1-9) 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.
Self-Paced vs. Weekly Live
Our self-paced class is designed for students who prefer to set their own study schedule. In this format, students can engage with peers and receive support from staff through the class message board. For students interested in a live group experience with real-time interactions in an online classroom setting, we recommend considering the weekly live version of this course.
- Factoring quadratics
- Sums and products of roots of a quadratic
- Difference of squares
- Sum and difference of cubes
- Simon's favorite factoring trick
- What are complex numbers?
- Complex number arithmetic
- Completing the square
- The quadratic formula
- Parabolas
- Circles
- Quadratic inequalities
- Quadratic optimization
- What are functions?
- Combining functions
- Inverse functions
- Transformations
- Graphs of inverse functions
- What is a polynomial?
- Adding and multiplying polynomials
- Exponential functions
- Compound interest
- Logarithms
- Radicals
- Absolute value
- Floor and ceiling
- Rational functions
- Piecewise-defined functions
- Arithmetic sequences and series
- Geometric sequences and series
- Telescoping series
- Self-similarity
- Symmetry
Required Textbook
Related courses: Introduction to Algebra A and Introduction to Algebra B
