| (Formerly called Algebra 3) Algebraic 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. Required Text: Intermediate Algebra | 24 weeks DiagnosticsARE YOU READY?DO YOU NEED THIS? DocumentsSYLLABUS |
| 24 weeksARE YOU READY?DO YOU NEED THIS?SYLLABUS |
Schedule
| Monday Apr 22 -Oct 14 | 7:30 - 9:00 PM ET Apr 22 - Oct 14 | Grace Unger | $670(~$28/week) $744 w/books | $670(~$28/week) With Books $744 |
| Friday May 10 -Oct 25 | 7:30 - 9:00 PM ET May 10 - Oct 25 | Anna Meyers | $670(~$28/week) $744 w/books | $670(~$28/week) With Books $744 |
| Tuesday May 28 -Nov 5 | 7:30 - 9:00 PM ET May 28 - Nov 5 | Radu Andrei Cebanu | $670(~$28/week) $744 w/books | $670(~$28/week) With Books $744 |
| Sunday Jun 9 -Nov 24 | 7:30 - 9:00 PM ET Jun 9 - Nov 24 | Andrew Sayler | $670(~$28/week) $744 w/books | $670(~$28/week) With Books $744 |
| Wednesday Jun 26 -Dec 11 | 7:30 - 9:00 PM ET Jun 26 - Dec 11 | Aaron Doman | $670(~$28/week) $744 w/books | $670(~$28/week) With Books $744 |
| Monday Jul 22 -Jan 27 | 7:30 - 9:00 PM ET Jul 22 - Jan 27 | TBA | $670(~$28/week) $744 w/books | $670(~$28/week) With Books $744 |
| Tuesday Aug 20 -Feb 18 | 7:30 - 9:00 PM ET Aug 20 - Feb 18 | Maria Mendes | $670(~$28/week) $744 w/books | $670(~$28/week) With Books $744 |
| Sunday Sep 8 -Mar 9 | 7:30 - 9:00 PM ET Sep 8 - Mar 9 | Caleb Bilenkin | $670(~$28/week) $744 w/books | $670(~$28/week) With Books $744 |
| Wednesday Sep 25 -Mar 26 | 7:30 - 9:00 PM ET Sep 25 - Mar 26 | TBA | $670(~$28/week) $744 w/books | $670(~$28/week) With Books $744 |
| Thursday Oct 17 -Apr 24 | 7:30 - 9:00 PM ET Oct 17 - Apr 24 | Marcus Neal | $670(~$28/week) $744 w/books | $670(~$28/week) With Books $744 |
| Sunday Nov 10 -May 11 | 7:30 - 9:00 PM ET Nov 10 - May 11 | Dylon Chow | $670(~$28/week) $744 w/books | $670(~$28/week) With Books $744 |
| Tuesday Dec 3 -May 27 | 7:30 - 9:00 PM ET Dec 3 - May 27 | Luís Finotti | $670(~$28/week) $744 w/books | $670(~$28/week) With Books $744 |
AoPS Holidays
There are no classes May 25 ‐ 27, July 4, August 30 ‐ September 2, October 31, November 25 ‐ December 1, and December 21, 2024 ‐ January 3, 2025.
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 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 Intermediate Algebra class covers topics typically found in honors Algebra 2 and Precalculus classes, as well as many topics that are notfound in most other curricula. Students who have completed a typical honors Algebra 2 course elsewhere may be ready for Intermediate Algebra.
Lessons
| Lesson 1 | Review and Overview |
| Lesson 2 | Functions Review |
| Lesson 3 | Complex Numbers |
| Lesson 4 | Quadratic Equations and Graphing Parabolas |
| Lesson 5 | Minima, Maxima, and Circles |
| Lesson 6 | Conics |
| Lesson 7 | Polynomial Division, the Remainder Theorem, the Factor Theorem |
| Lesson 8 | Integer and Rational Roots |
| Lesson 9 | Proof by Contradiction and Irrational Roots |
| Lesson 10 | Vieta's Formulas |
| Lesson 11 | Multivariable Polynomials |
| Lesson 12 | Advanced Strategies for Polynomials |
| Lesson 13 | Arithmetic and Geometric Sequences and Series |
| Lesson 14 | Advanced Sequences and Series |
| Lesson 15 | Induction |
| Lesson 16 | Exponents and Logarithms |
| Lesson 17 | Radicals, Monotonic, and Even and Odd Functions |
| Lesson 18 | Rational Functions and Partial Fractions |
| Lesson 19 | Piecewise Functions, Absolute Value, Integer and Fractional Part |
| Lesson 20 | Inequalities |
| Lesson 21 | Mean Inequality Chain |
| Lesson 22 | Cauchy-Schwarz Inequality |
| Lesson 23 | Functional Equations |
| Lesson 24 | More Functional Equations and Challenging Problems |
Required Textbook
 | Intermediate Algebra By Richard Rusczyk and Mathew Crawford 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. VIEW DETAILS |
