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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. |
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 |