# AoPS Online School/Algebra 1

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# 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 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.