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Algebra I—Semester B

Double the equations, double the fun.

Course Description

It doesn't matter whether you love it or hate it. The fact remains that Algebra is around and by golly, it's here to stay.

What's not to love about it, though? We'll admit that it might get a bit irrational from time to time, and there's no denying a few of its radical tendencies, but it can simplify your life in more ways than the square root of one. Besides, its graphing skills are off the charts. Why not give it a chance? Take it from us: there's a high probability of it working out.

Semester B is chock-full of stuff that we haven't come across in other math classes. In this course, we'll

  • start out in familiar territory with systems of equations.
  • move quickly onto radicals and quadratics, lines' curvy cousins.
  • open the gate to polynomials and rational expressions, which are all about factoring. (And plaid! They're pretty stylish.)
  • finish up with probability and statistics. (Well, maybe. There’s a 99% chance we'll get there.)

Get ready for interactive readings, activities, and problem sets galore.

P.S. Algebra I is a two-semester course. You're looking at Semester B, but you can check out Semester A here.

Technology Requirements

  • Microsoft Office, Google Docs, or another word processing program
  • A scanner (or access to one)
  • A camera (a camera phone is sufficient)
  • All other work can be done via the Shmoop website.

Required Skills

Knowledge of pre-algebra concepts and the material from Semester A of this course

Course Breakdown

Purchase units individually
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    Unit 7. Systems of Equations

    After having graphed linear equations and learned the bare bones of functions, we'll solve and graph systems of linear equations. Whether they're given as equations or word problems, we'll be able to tackle these problems in their many forms. Wear a helmet, though. The last thing you want is a concussion.

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    Unit 8. Radicals and Quadratic Equations

    We'll start by performing major arithmetic operations on square roots and by the time this unit's over, we'll be able to wrangle radicals just about anywhere. That'll lead us into quadratic equations, which are like linear equations with more twists and turns. (We're not kidding. Have you seen them behind the wheel?)

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    Unit 9. Polynomials

    Polynomials are all about factoring. They also have a fondness for Bocce ball, but that's not as relevant. Once we learn a thing or five about factoring, we'll be able to understand polynomials on the equation level. And if you really want to connect with polynomials, consider joining in a round of Bocce ball.

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    Unit 10. Division of Polynomials

    Right when you thought you knew all there was to know about polynomials, we go and start dividing them. Luckily, all our old factoring tricks will still apply and they'll be even more useful as we start dealing with rational expressions. Too bad they aren't nearly as rational as their name suggests!

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    Unit 11. Probability and Statistics

    We’ll start out with the beautification of data, because data alone is just boring. Get ready for stem and leaf plots, bar graphs, histograms, pie charts, box and whisker plots, and finally scatter plots. Then, we'll move on to probability, which is probably going to be fun. Actually, scratch that. It's definitely going to be fun.

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