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Stretch Introduction to Algebra AStretch Introduction to Algebra A covers the same topics as Introduction to Algebra A, but at a more methodical pace (22 two-hour classes versus 16 ninety-minute classes). Topics covered include 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.This course is University of California a-g approved. Click here for more details. |
22 weeks |
22 weeks ARE YOU READY? DO YOU NEED THIS? |
Schedule
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Who Should Take?
Students are ready for this class if they have mastered arithmetic with fractions, decimals, percents, negative numbers, and integer exponents. Most students who have completed a typical Prealgebra course are ready for this course. Our Stretch Introduction to Algebra A course covers the same syllabus as our Introduction to Algebra A course.
AoPS Stretch courses are designed for high-performing students who seek a more gradual pace than our regular courses offer. Our Stretch Introduction to Algebra A consists of 22 two-hour classes, compared to 16 ninety-minute classes in Introduction to Algebra A. Each Stretch class features an instructor-led component that highlights the week's central concepts, followed by a student-led session in which students apply these concepts to more challenging problems.
Students wishing to cover the material in this course at a more rapid pace should consider Introduction to Algebra A.
Please note: Our Algebra sequence will likely not match up exactly with your school's. Most students who have completed a Prealgebra course are ready for this course. This course covers much of the algebra of a typical honors Algebra 1 course, some of the content of an honors Algebra 2 course, and some additional material not taught in most standard curricula. Visit our Recommendations page for help in choosing the right class.
Lessons
Lesson 1 | Follow the Rules |
Lesson 2 | Fractional Exponents and Radicals |
Lesson 3 | Expressions and Variables (Part 1) |
Lesson 4 | Expressions and Variables (Part 2) |
Lesson 5 | Linear Equations |
Lesson 6 | More Variables |
Lesson 7 | Linear Equations with Two Variables |
Lesson 8 | Word Problems and Linear Equations with Several Variables |
Lesson 9 | Ratio |
Lesson 10 | Percents and Proportion |
Lesson 11 | Proportion and Rate Problems |
Lesson 12 | Common Errors and Challenging Problems |
Lesson 13 | Introduction to Graphing Lines |
Lesson 14 | Using Slope and Finding Equations |
Lesson 15 | Introduction to Inequalities |
Lesson 16 | Graphing Inequalities |
Lesson 17 | Quadratic Equations and Factoring |
Lesson 18 | Quadratic Equations and Roots |
Lesson 19 | Factorizations: Squares of Binomials and Difference of Squares |
Lesson 20 | Rationalizing Denominators and Special Factorizations |
Lesson 21 | Complex Numbers |
Lesson 22 | Completing the Square and the Quadratic Formula |