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# Introduction to Algebra B

(Formerly called Algebra 2) Fundamental concepts of algebra, including quadratics, systems of equations, clever factorizations, complex numbers, functions, graphing, sequences and series, special functions, exponents and logarithms, and more.

16 weeks

#### Diagnostics

ARE YOU READY? DO YOU NEED THIS?

SYLLABUS
16 weeks

## Schedule

### AoPS Holidays

There are no classes August 30 ‐ September 2, October 31, November 25 ‐ December 1, and December 21, 2024 ‐ January 3, 2025.

### Who Should Take?

Students are ready for this class if they have mastered square roots and fractional exponents, order of operations, linear equations and inequalities, ratio, and proportion. We recommend that students have experience with factoring quadratics prior to taking this course.

Please note: Our Algebra sequence will likely not match up exactly with your school's. Most students who have completed our Introduction to Algebra A course or a high-level honors Algebra 1 course in school are ready for this class. However, we encourage students to take our Introduction to Counting and Probability class before beginning this course. Visit our Recommendations page for help in choosing the right class.

### Lessons

 1 Factorization 2 Quadratics and Complex Numbers 3 Completing the Square and the Quadratic Formula 4 Graphing Quadratics 5 Quadratic Inequalities 6 Optimizing Quadratics and AM-GM Inequality 7 Functions 8 Composition and Inverses 9 Graphing Functions 10 Polynomials 11 Exponential Functions 12 Special Functions Part 1 13 Special Functions Part 2 14 Sequences & Series Part 1 15 Sequences & Series Part 2 16 Challenging Problems Day

### Required Textbook

 Introduction to Algebra By Richard Rusczyk A thorough introduction for students in grades 6-9 to algebra topics such as linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and more! Related courses: Introduction to Algebra A and Introduction to Algebra B

I cannot express how thankful I am for this course. I LOVED it! I had so much fun, and I always looked forward to Fridays to have class. The homework was challenging, but that is when it's the most fun! The instructor was a great teacher who kept me engaged in class, and we did cool problems in class. I learned so much, and I just thoroughly enjoyed this class. Thanks again!