Need help finding the right class? Have a question about how classes work?
Click here to Ask AoPS!
Scholars Math 9: Intermediate AlgebraAlgebraic subjects covered include advanced quadratics, polynomials, conics, general functions, logarithms, clever factorizations and substitutions, systems of equations, sequences and series, symmetric sums, advanced factoring methods, classical inequalities, functional equations, and more. |
24 weeks |
| 24 weeks ARE YOU READY? DO YOU NEED THIS? SYLLABUS |
Schedule
|
Thursday
Jul 2 - Dec 17 |
7:30 - 9:00 PM ET
Jul 2 - Dec 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 |
Radu Andrei Cebanu |
$715
(~$30/lesson)
$789 w/books
|
$715
(~$30/lesson)
CLOSED
With Books $789
|
|
Sunday
Jul 26 - Jan 31 |
7:30 - 9:00 PM ET
Jul 26 - Jan 31
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 |
Ana Malagon |
$715
(~$30/lesson)
$789 w/books
|
$715
(~$30/lesson)
CLOSED
With Books $789
|
|
STARTING SOON |
||||
|
Thursday
Aug 20 - Feb 18 |
7:30 - 9:00 PM ET
Aug 20 - Feb 18
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 |
Sindi Sabourin |
$715
(~$30/lesson)
$789 w/books
|
$715
(~$30/lesson)
With Books $789
|
|
Monday
Sep 14 - Mar 22 |
7:30 - 9:00 PM ET
Sep 14 - Mar 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 |
Luis Beltran Vasquez Mijares |
$715
(~$30/lesson)
$789 w/books
|
$715
(~$30/lesson)
With Books $789
|
|
Sunday
Sep 27 - Apr 4 |
7:30 - 9:00 PM ET
Sep 27 - Apr 4
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 |
$715
(~$30/lesson)
$789 w/books
|
$715
(~$30/lesson)
With Books $789
|
|
Tuesday
Oct 6 - Apr 6 |
7:30 - 9:00 PM ET
Oct 6 - Apr 6
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 |
Marco Figueroa Ibarra |
$715
(~$30/lesson)
$789 w/books
|
$715
(~$30/lesson)
With Books $789
|
|
Sunday
Nov 15 - May 23 |
7:30 - 9:00 PM ET
Nov 15 - May 23
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 |
Ryo Kudo |
$715
(~$30/lesson)
$789 w/books
|
$715
(~$30/lesson)
With Books $789
|
|
Friday
Dec 11 - Jun 4 |
7:30 - 9:00 PM ET
Dec 11 - Jun 4
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 |
Ryo Kudo |
$715
(~$30/lesson)
$789 w/books
|
$715
(~$30/lesson)
With Books $789
|
|
Tuesday
Jan 19 - Jun 29 |
7:30 - 9:00 PM ET
Jan 19 - Jun 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 |
TBA |
$715
(~$30/lesson)
$789 w/books
|
$715
(~$30/lesson)
With Books $789
|
|
Sunday
Feb 7 - Aug 8 |
7:30 - 9:00 PM ET
Feb 7 - Aug 8
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 |
TBA |
$715
(~$30/lesson)
$789 w/books
|
$715
(~$30/lesson)
With Books $789
|
|
Wednesday
Feb 24 - Aug 4 |
7:30 - 9:00 PM ET
Feb 24 - Aug 4
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 |
Ryo Kudo |
$715
(~$30/lesson)
$789 w/books
|
$715
(~$30/lesson)
With Books $789
|
|
Sunday
Mar 28 - Sep 26 |
7:30 - 9:00 PM ET
Mar 28 - Sep 26
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 |
Homero Gallegos |
$715
(~$30/lesson)
$789 w/books
|
$715
(~$30/lesson)
With Books $789
|
|
Monday
Apr 12 - Oct 11 |
7:30 - 9:00 PM ET
Apr 12 - Oct 11
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 |
Jerry Leung |
$715
(~$30/lesson)
$789 w/books
|
$715
(~$30/lesson)
With Books $789
|
| Summer 2027 | This course will be offered in Summer 2027. Click here to join our mailing list to be notified when the course schedule is available. | |||
AoPS Holidays
Who Should Take?
Students should have a mastery of basic algebra up through and including quadratic equations before taking this course. Typically this class follows our Scholars Math 8: Introduction to Geometry class.
This course goes beyond what you would find in a typical honors Algebra curriculum. Algebra courses vary widely in their definitions, but our Scholars Math 9: Intermediate Algebra class covers topics typically found in honors Algebra 2 and Precalculus classes, as well as many topics that are not found in most other curricula. Students who have completed a typical honors Algebra 2 course elsewhere may be ready for Intermediate Algebra.
Lessons
| 1 | Review and Overview |
| 2 | Functions Review |
| 3 | Complex Numbers |
| 4 | Quadratic Equations and Graphing Parabolas |
| 5 | Minima, Maxima, and Circles |
| 6 | Conics |
| 7 | Polynomial Division, the Remainder Theorem, the Factor Theorem |
| 8 | Integer and Rational Roots |
| 9 | Proof by Contradiction and Irrational Roots |
| 10 | Vieta's Formulas |
| 11 | Multivariable Polynomials |
| 12 | Advanced Strategies for Polynomials |
| 13 | Arithmetic and Geometric Sequences and Series |
| 14 | Advanced Sequences and Series |
| 15 | Induction |
| 16 | Exponents and Logarithms |
| 17 | Radicals, Monotonic, and Even and Odd Functions |
| 18 | Rational Functions and Partial Fractions |
| 19 | Piecewise Functions, Absolute Value, Integer and Fractional Part |
| 20 | Inequalities |
| 21 | Mean Inequality Chain |
| 22 | Cauchy-Schwarz Inequality |
| 23 | Functional Equations |
| 24 | More Functional Equations and Challenging Problems |
Required Text
|
Intermediate Algebra A comprehensive textbook covering Algebra 2 and topics in Precalculus. This book is the follow-up to the acclaimed Introduction to Algebra textbook. In addition to offering standard Algebra 2 and Precalculus curriculum, the text includes advanced topics such as those problem solving strategies required for success on the AMC and AIME competitions. |