• Math!

    Below you will find some sites that I have found to be very helpful for either further practice or more explanation of topics. Feel free to peruse these sites...
    BUT-- Don't forget, you can ALWAYS come to me if you don't understand something!!
    Systems of Equations:
          • A "system" of equations is a set or collection of equations that you are dealing with at once.
          • You are looking for the point (x,y) that satisfies BOTH equations at the same time.
          • There are many methods to solving systems-- ie. Graphing, Substitution, or Elimination.
    • http://www.mathsisfun.com/algebra/polynomials.html
          • Polynomials are expressions of variables with multiple terms.
          • Each piece of the expression is considered a term.
          • Expressions with two terms are called binomials.
          • Expressions with three terms are called trinomials.
    Solving Quadratics:

    By Graphing:

    Graphing Quadratics

        • The graph of a quadratic function is called a parabola.
        • Once you have graphed your parabola you are looking for your:
            • Y-intercept = c
            • Axis of Symmetry = -b/2a
            • Vertex
            • Max or Min?
              • When your a value is positive, your parabola will open up & have a minimum value
              • When your a value is negative, your parabola will open down & have a maximum value
                •  Your max or min value is the y-coordinate of your vertex

    By Factoring:

    • http://www.purplemath.com/modules/solvquad.htm
        • When a=1
          • Looking for numbers that multiply to give you your last number, but add to give you your middle number!
        • When a>1
          • Multiply a*c, factor like we know how!, divide each number by a & simplify, if you are left with a simplified faction bring your bottom number up in front of your x squared!  
        • **REMEMBER: You can always FOIL out your answer to make sure you are right!!*

    Using the Quadratic Formula:

    Quadratic Formula
    Congruence & Similarity:
    This is a Theorem and Definition heavy topic.
    • Make sure you know  your theorems! Make sure you can name corresponding sides and angles (& make sure you know what corresponding sides & angles mean!)
    • The big theorems that you need to know right now are: Side-Angle-Side, Side-Side-Side, Angle-Side-Angle, & Right Angle- Hypotenuse-Side. These are aspects of triangles that if you can prove they have in common-- then you can prove congruence! {When matching these aspects it is important that the Angle in SAS is IN BETWEEN the two matching sides-- same goes for ASA: make sure that the Side is IN BETWEEN the two matching angles!!}
    • For more practice: http://www.mathwarehouse.com/geometry/congruent_triangles/

     Exponential Functions:

    • Exponential functions are similar to functions we have worked with before; however, there is one big difference-- the variable is now the power, rather than the base. Before we dealt with functions like  f(x) = x2, where the variable x was the base and 2 was the power. In the case of exponentials, we see functions like g(x) = 2xwhere the base is the fixed number and the exponent is the changing variable.
    • In cases of exponential functions we will have either

                      Exponential Growth or Exponential Decay