We have your learning goals covered with Spring and Summer courses available. Enroll today!

Need Help?

Need help finding the right class? Have a question about how classes work?

Click here to Ask AoPS!

Prealgebra 2 Self-Paced

Summary

Our Prealgebra 2 course builds off the concepts mastered in Prealgebra 1 by introducing percents and square roots, delving into a thorough exploration of geometric tools and strategies, and providing an introduction to topics in discrete mathematics and statistics, while continuing to facilitate discussion of general problem-solving strategies.

Prealgebra 2 is available as a live course that meets online weekly for 75-minute sessions, or as a self-paced course. Our self-paced courses allow students to advance at their own pace, with automated interactive instruction replacing live class meeting times. Both course styles offer instructor feedback on student work, as well as office hours and a class message board for student support throughout the course.

Required Text: Prealgebra

Prealgebra 2: Self-Paced

Length: 50 Lessons

In our self-paced Prealgebra 2 course, students proceed at their own rate and explore new concepts independently through a series of automated, interactive mathematical conversations.

Instead of prescheduled meeting times, self-paced math classes offer live interaction through the class message board, where students can connect with peers on challenging problems and receive support from instructors. We reinforce lessons with examples from the second half of our Prealgebra textbook, engaging videos, and various types of homework problems.

While many students will complete Prealgebra 2 in 3–6 months, we offer unlimited access to the class for 9 months.

$445 $504 w/books

What's Included?

50 interactive lessons featuring lively, adaptive mathematical conversations to help students deepen their understanding
More than 80 supplementary videos by AoPS founder and Prealgebra co-author Richard Rusczyk, providing expert insights and guidance
Scheduling tools that allow students to set their preferred study hours each week, ensuring that activities are aligned with their personal schedule
Class message board where students can collaborate with peers, ask questions, and receive support from instructors and teaching assistants outside of class time
Periodic homework assignments including challenging short-answer problems, assigned readings from our Prealgebra textbook, and personalized practice through our adaptive online learning system, Alcumus
Detailed instructor evaluation of students' written solutions to open-response problems, designed to enhance mathematical writing and problem-solving skills
Comprehensive reporting that allows students and parents to track progress and performance throughout the course

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?

This course is designed for students who enjoy math and have completed our Prealgebra 1 course or its equivalent.

Students finishing our Beast Academy curriculum should take our Prealgebra 1 course prior to taking Prealgebra 2.

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.

Chapters

Show All Topics
Chapter 8
Percents
  • Definition of percent
  • Relationships among percents, fractions, and decimals
  • Percents of numbers
  • Percent word problems
  • Percent increase and decrease
Chapter 9
Square Roots
  • Definition of square root
  • Equations with square roots
  • Non-integer square roots
  • Simplification of square roots
  • Arithmetic with square roots
Chapter 10
Angles
  • Angle measurement
  • Parallel lines
  • Angles in a triangle
  • Angles in other polygons
Chapter 11
Perimeter and Area
  • Segments and perimeter
  • Triangle inequality
  • Triangle area
  • Circumference of a circle
  • Area of a circle
  • Unusual areas
Chapter 12
Right Triangles and Quadrilaterals
  • The Pythagorean Theorem
  • Pythagorean triples
  • 30-60-90 and 45-45-90 triangles
  • Types of quadrilaterals
  • Quadrilateral area
Chapter 13
Data and Statistics
  • Average (mean)
  • Averages as a balancing act
  • Median, mode, and range
  • Limits of basic statistics
  • Types of graphs and charts
Chapter 14
Counting
  • Numbers in lists
  • Venn diagrams
  • Multiplication principle
  • Casework
  • Pairs
  • Introduction to probability
Chapter 15
Problem-Solving Strategies
  • Find a pattern
  • Make a list
  • Draw a picture
  • Work backwards

Required Textbook

Prealgebra By Richard Rusczyk, David Patrick, Ravi Boppana
Prealgebra prepares students for the rigors of algebra and also teaches students problem-solving techniques to prepare them for prestigious middle school math contests such as MATHCOUNTS, MOEMS, and the AMC 8. The text is written to challenge students at a much deeper level than a traditional middle school prealgebra course.
Related courses: Prealgebra 1 and Prealgebra 2
View Details
$445 $504 w/books

As a parent, I think the lessons were very good because it explains the whys of the math rules and proves them. The structure of the lessons are good and sequential. As a student, my son said he learns a lot and it is fun. He learns a lot of math tricks or shortcuts. Thank you so much