Functions

• Choose an algebraic function, graph the function and then find a memorable phrase that helps students remember that type of function. For example, a logarithmic function can be both negative and positive, but no matter how you graph it the shape is always the same. Stress how the graph of a one-to-one function is a mirror image and you can use a horizontal line between the two lines to determine an inverse function.
  
  

Letters as Numbers

• In algebra, several letters represent numbers. Design a poster around a specific letter that functions as a number or a specific symbol that has special meaning. For example, the letter "e" represents a constant number, roughly 2.71828, that is used in algebra. However, the full, precise number that it represents is so long that it has 50 decimal places, so it is much easier to use "e" in algebraic calculations. A similar example is the symbol for "pi," representing roughly 3.14159, a key number in algebra and other branches of mathematics that is used to solve many algebraic equations.
  
  

Transformations

• Have students transform and translate a specific graph in as many ways as possible. Transform the graph in different ways using a horizontal shift, vertical shift reflection over the "y" and "x" axes. As the students transform and translate the graph, make sure they also produce the new equation for that graph.
  
  

Complex Numbers

• Create a poster that details how complex numbers work. A complex number is different from a real number, but complex numbers are very meaningful. The definition of a complex number is an ordered pair of real numbers that can further be defined by the equation (a,b) + (c,d) = (a+c, b+d). Show how this complex number can be shown on a graph using real numbers, and how complex numbers, such as the square root of -1, can be written in the above equation. It is important to present the main concepts without going into great detail.