# AoPS Online School/Algebra 1

# Description

Algebra 1 covers the fundamental concepts of algebra, including exponents and radicals, linear equations and inequalities, ratio and proportion, systems of linear equations, factoring quadratics, complex numbers, completing the square, and the quadratic formula. (Note: This class is equivalent to the first half of the Introduction to Algebra course we used to offer.)

## Course Outline

**Week 1**: Order of operations, distribution and factoring, equations

**Week 2**: One-variable expressions, one-variable linear equations

**Week 3**: Mastering linear equations and basic word problems

**Week 4**: Algebra with multiple variables, multiple variable linear equations

**Week 5**: Systems of 2-variable linear equations

**Week 6**: Ratios and percents

**Week 7**: Proportion

**Week 8**: Extra Challenging Problem Day 1!

**Week 9**: Graphing lines

**Week 10**: Introduction to inequalities

**Week 11**: Quadratic equations

**Week 12**: Special factorizations

**Week 13**: Complex numbers

**Week 14**: Deriving the quadratic formula

**Week 15**: Extra Challenging Problem Day 2!

## Who should take this class

Students are ready for this class if they have mastered arithmetic with fractions, decimals, percents, and negative numbers. Most students who have completed a typical Prealgebra class are ready for this course.

Please note: Our Algebra sequence will not likely match up exactly with your school's. We have named our courses so as to help new students decide which class to take. Most students who have completed a Prealgebra class are ready for this course. Those who have completed a typical Algebra 1 class should consider taking our Algebra 2 course. Those who have completed a typical Algebra 2 class should consider taking our Algebra 3 course.