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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.

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

16 weeks

#### Diagnostics

ARE YOU READY? DO YOU NEED THIS?

SYLLABUS
16 weeks

### AoPS Holidays

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

### 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

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

I can say the class has prepared me substantially for mathematical studies and competitions in the future and provided a well-constructed introduction to higher-level algebra. I enjoyed interacting with the teacher on an intellectual level while he taught the class in an fun and creative way. In addition, the challenging problems students received weekly to complete as homework enhanced our problem solving skills. Overall, this class has been an amazing experience for me, and I can't wait to see what AoPS has in store next!

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