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Algebra II

Play and experiment with interactive graphs to build a strong foundation in algebra!

Use interactive graphing apps to explore and transform functions of all varieties: polynomials, exponents, logarithms, absolute value, and more. Learn a method of factoring not commonly taught in school, practice modeling scenarios, and do problem solving that reveals the beauty of mathematics.

Interactive
lessons

26

Concepts and
exercises

260+
  1. 1

    Function Fundamentals

    Put a number in. Get a number out.

    1. Function Notation

      Review functions and the notation used to represent them.

    2. Playing With Functions

      Explore a variety of function types by experimenting with their graphs.

    3. Domain and Range

      Find the inputs and outputs of functions.

    4. So Many Functions

      Strengthen your skills by working with a variety of functions.

  2. 2

    Transformations

    Changing functions in a changing world.

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      Translations

      Change a function to slide its graph around.

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      Scalings

      See how we can stretch and shrink graphs.

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      Reflections and Symmetry

      Throw some negatives into to the mix and see what happens!

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      Problem Solving

      Test what you've learned about function transformations.

  3. 3

    Quadratics

    When x is squared, the function is quadratic.

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      Intro to Quadratics

      Get to know quadratics and their shapes.

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      Factored Form

      Get to the root of quadratics and investigate their factored form.

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      Finding Roots

      Explore various ways to factor quadratics.

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      Intro to Complex Numbers

      Investigate the square root of negative one and its connection to quadratics.

  4. 4

    Polynomials

    More powers of x, more interesting functions.

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      Intro to Polynomials

      Get a feel for how polynomials work by interacting with their graphs.

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      Arithmetic and Finding Roots

      Explore factoring polynomials through arithmetic, grouping, and long division.

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      Symmetry and Roots in Graphs

      See how symmetry reveals the number of roots.

  5. 5

    Rational Functions

    Divide by a polynomial to get a rational function.

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      Direct and Inverse Variation

      When one variable goes up, does the other go up with it?

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      Variation with Powers

      Explore what variation looks like when larger powers are involved.

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      Rational Functions and Domain

      Meet rational functions, and see how some inputs can make things go wrong.

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      End Behavior

      Make the inputs really large and see what happens.

  6. 6

    Piecewise Functions

    For when a function has more than one piece.

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      Absolute Value

      It's always positive!

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      Piecewise Functions

      Splice multiple functions together to make new ones.

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      Floor and Ceiling

      Explore functions defined by rounding.

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      Problem Solving

      Stretch your understanding of piecewise functions.