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Prealgebra 2
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 both as a live course and as a self-paced course. Our self-paced courses allow students to advance through lessons on their own schedule, with automated interactive instruction replacing live class meetings. Both versions provide instructor feedback on student work, as well as office hours and a class message board for accessible support.
Prealgebra 2: 16 Weeks
Our live Prealgebra 2 course brings bright young mathematicians together to meet with an experienced instructor and assistants for 75-minute sessions. Students refine their skills with several types of homework problems and refer to our Prealgebra textbook and videos as resources. 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
Our teachers were outstanding math students themselves, and many were winners of major math awards as well as recipients of degrees from the best universities in the nation. They understand from their personal experiences how to galvanize eager learners, and they serve as role models for students who aspire to similar success.
Active Learning
Students learn best by tackling hard problems themselves, not by watching others do the work. In our classes, instructors start with questions, challenging the students to find the key insights on their own. This helps students learn how to generate new ideas and develop new skills as needed, though teachers and assistants also provide hints and direct instruction when students get stuck. Once students have the solution, the instructors reinforce important concepts and strategies and move on to the next problem.
Focus on Non-Routine, Challenging Problems
Successful people in the next generation will need to develop new skills throughout their careers as their older skills become obsolete. To prepare our students for this challenging future, we show students how to apply fundamentals to different types of problems, not just variations on the same problem they’ve seen before. Our students will be ready for the rigors of top-tier colleges and internationally competitive careers because they have been taught how to learn.
Multiple Learning Avenues
Students learn in many ways, so we teach through multiple avenues. In addition to the live classes, our students can read the Prealgebra textbook, watch videos, solve many different types of homework problems, and participate in mathematical conversations with instructors and other students on the class message board.
Schedule: Prealgebra 2
The current and upcoming sections of our live Prealgebra 2 course are listed below. All sections cover the same course material.
Sunday
Oct 27 - Mar 2 |
7:30 - 8:45 PM ET
Oct 27 - Mar 2
7:30 - 8:45 PM Eastern 6:30 - 7:45 PM Central 5:30 - 6:45 PM Mountain 4:30 - 5:45 PM Pacific Click here to see more time zones |
Julie Zhu |
$445
(~$28/lesson)
$504 w/books
|
$445
(~$28/lesson)
CLOSED
$504 w/books
|
Thursday
Nov 7 - Mar 13 |
7:30 - 8:45 PM ET
Nov 7 - Mar 13
7:30 - 8:45 PM Eastern 6:30 - 7:45 PM Central 5:30 - 6:45 PM Mountain 4:30 - 5:45 PM Pacific Click here to see more time zones |
Andrea Knapp |
$445
(~$28/lesson)
$504 w/books
|
$445
(~$28/lesson)
ENROLL
$504 w/books
|
Monday
Dec 2 - Mar 31 |
7:30 - 8:45 PM ET
Dec 2 - Mar 31
7:30 - 8:45 PM Eastern 6:30 - 7:45 PM Central 5:30 - 6:45 PM Mountain 4:30 - 5:45 PM Pacific Click here to see more time zones |
Brian Edwards |
$445
(~$28/lesson)
$504 w/books
|
$445
(~$28/lesson)
ENROLL
$504 w/books
|
Wednesday
Jan 8 - Apr 23 |
7:30 - 8:45 PM ET
Jan 8 - Apr 23
7:30 - 8:45 PM Eastern 6:30 - 7:45 PM Central 5:30 - 6:45 PM Mountain 4:30 - 5:45 PM Pacific Click here to see more time zones |
Brian Edwards |
$445
(~$28/lesson)
$504 w/books
|
$445
(~$28/lesson)
ENROLL
$504 w/books
|
Sunday
Jan 19 - May 4 |
1:00 - 2:15 PM ET –
Jan 19 - May 4
1:00 - 2:15 PM Eastern 12:00 - 1:15 PM Central 11:00 - 12:15 PM Mountain 10:00 - 11:15 AM Pacific Click here to see more time zones |
Annie Meyers |
$445
(~$28/lesson)
$504 w/books
|
$445
(~$28/lesson)
ENROLL
$504 w/books
|
Monday
Jan 27 - May 12 |
7:30 - 8:45 PM ET
Jan 27 - May 12
7:30 - 8:45 PM Eastern 6:30 - 7:45 PM Central 5:30 - 6:45 PM Mountain 4:30 - 5:45 PM Pacific Click here to see more time zones |
Carl Yerger |
$445
(~$28/lesson)
$504 w/books
|
$445
(~$28/lesson)
ENROLL
$504 w/books
|
Tuesday
Jan 28 - May 13 |
4:30 - 5:45 PM ET –
Jan 28 - May 13
4:30 - 5:45 PM Eastern 3:30 - 4:45 PM Central 2:30 - 3:45 PM Mountain 1:30 - 2:45 PM Pacific Click here to see more time zones |
Brian Edwards |
$445
(~$28/lesson)
$504 w/books
|
$445
(~$28/lesson)
ENROLL
$504 w/books
|
Sunday
Feb 16 - Jun 8 |
7:30 - 8:45 PM ET
Feb 16 - Jun 8
7:30 - 8:45 PM Eastern 6:30 - 7:45 PM Central 5:30 - 6:45 PM Mountain 4:30 - 5:45 PM Pacific Click here to see more time zones |
David Reynoso Valle |
$445
(~$28/lesson)
$504 w/books
|
$445
(~$28/lesson)
ENROLL
$504 w/books
|
Tuesday
Mar 25 - Jul 8 |
7:30 - 8:45 PM ET
Mar 25 - Jul 8
7:30 - 8:45 PM Eastern 6:30 - 7:45 PM Central 5:30 - 6:45 PM Mountain 4:30 - 5:45 PM Pacific Click here to see more time zones |
Josh Zucker |
$445
(~$28/lesson)
$504 w/books
|
$445
(~$28/lesson)
ENROLL
$504 w/books
|
Sunday
Apr 13 - Aug 10 |
7:30 - 8:45 PM ET
Apr 13 - Aug 10
7:30 - 8:45 PM Eastern 6:30 - 7:45 PM Central 5:30 - 6:45 PM Mountain 4:30 - 5:45 PM Pacific Click here to see more time zones |
Elizabeth Dunn |
$445
(~$28/lesson)
$504 w/books
|
$445
(~$28/lesson)
ENROLL
$504 w/books
|
AoPS Holidays
Who Should Take This Class?
This course is designed for students who enjoy math and have completed either our Prealgebra 1 course or its equivalent. Students can determine if their previous mathematical experience has prepared them for the course by taking the Prealgebra 2 "Are You Ready?" diagnostic test to see if they are prepared to take this course. Students who are finishing our Beast Academy curriculum should take our Prealgebra 1 course prior to taking Prealgebra 2. Students who wish to pursue studies at their own pace or cannot attend the live class times should consider our self-paced version of Prealgebra 2.
- Definition of percent
- Relationships among percents, fractions, and decimals
- Percents of numbers
- Basic percent word problems
- More percent word problems
- Percentage increase and decrease
- Definition of square root
- Equations with square roots
- Non-integer square roots
- Products and quotients of square roots
- Simplification of square roots
- Sums and differences of square roots
- Angle measurement
- Parallel lines
- Angles in a triangle
- Angles in other polygons
- Segments and perimeter
- Rectangle and right triangle area
- Triangle area
- Circumference of a circle
- Area of a circle
- Unusual areas
- Pythagorean Theorem fundamentals
- Pythagorean triples
- Challenging Pythagorean Theorem problems
- 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