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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.
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.
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?
This course is designed for students who enjoy math and have completed our Prealgebra 1 course or its equivalent.
- To determine if you’re ready for the course, students can take the diagnostic pretest.
- To determine if you need this course, students can take the diagnostic post-test.
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.
- Definition of percent
- Relationships among percents, fractions, and decimals
- Percents of numbers
- Percent word problems
- Percent increase and decrease
- Definition of square root
- Equations with square roots
- Non-integer square roots
- Simplification of square roots
- Arithmetic with square roots
- Angle measurement
- Parallel lines
- Angles in a triangle
- Angles in other polygons
- Segments and perimeter
- Triangle inequality
- Triangle area
- Circumference of a circle
- Area of a circle
- Unusual areas
- The Pythagorean Theorem
- Pythagorean triples
- 30-60-90 and 45-45-90 triangles
- Types of quadrilaterals
- Quadrilateral area
- Average (mean)
- Averages as a balancing act
- Median, mode, and range
- Limits of basic statistics
- Types of graphs and charts
- Numbers in lists
- Venn diagrams
- Multiplication principle
- Casework
- Pairs
- Introduction to probability
- Find a pattern
- Make a list
- Draw a picture
- Work backwards
Required Textbook
Related courses: Prealgebra 1 and Prealgebra 2
