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Intermediate Algebra

(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.

This course is University of California a-g approved. Click here for more details.

24 weeks

Diagnostics

ARE YOU READY? DO YOU NEED THIS?

Documents

SYLLABUS
24 weeks ARE YOU READY? DO YOU NEED THIS?  

Schedule

Friday
Feb 3 - Jul 14
7:30 - 9:00
PM ET
Feb 3 - Jul 14
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
$495
$559 w/books
$495
With Books $559
Monday
Feb 13 - Jul 31
7:30 - 9:00
PM ET
Feb 13 - Jul 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
$495
$559 w/books
$495
With Books $559
Tuesday
Mar 14 - Aug 29
7:30 - 9:00
PM ET
Mar 14 - Aug 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
$495
$559 w/books
$495
With Books $559
Wednesday
Apr 19 - Sep 27
7:30 - 9:00
PM ET
Apr 19 - Sep 27
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
$495
$559 w/books
$495
With Books $559
FULL
Wednesday
Jun 7 - Nov 15
7:30 - 9:00
PM ET
Jun 7 - Nov 15
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
$495
$559 w/books
$495
With Books $559
ENROLL
Thursday
Aug 31 - Mar 1
7:30 - 9:00
PM ET
Aug 31 - Mar 1
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
$495
$559 w/books
$495
With Books $559
ENROLL
Friday
Sep 22 - Mar 23
7:30 - 9:00
PM ET
Sep 22 - Mar 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
TBA $495
$559 w/books
$495
With Books $559
ENROLL
Tuesday
Oct 17 - Apr 17
7:30 - 9:00
PM ET
Oct 17 - Apr 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
TBA $495
$559 w/books
$495
With Books $559
ENROLL
Monday
Nov 27 - May 21
7:30 - 9:00
PM ET
Nov 27 - May 21
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 $495
$559 w/books
$495
With Books $559
ENROLL

AoPS Holidays

There are no classes May 29, July 4, September 4, November 18 - 26, and December 21 - January 3.

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 not found 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.

Intermediate Algebra has been an excellent course! The class has been extremely fun and challenging, and it is amazing how much material we have covered in this amount of time!  To have a great group of peers to communicate with in class and on the message board is awesome! As a homeschool student, I use Art of Problem Solving online classes as my math curriculum, and I am truly grateful to have such a great resource for my education. AoPS rocks!

ACS WASC
ACCREDITED
SCHOOL

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