WHAT	HOW LONG	MATERIALS
BRIDGE	*Review Quadratic Formula by introducing the fun song from the web: http://www.youtube.com/watch?v=CnJT1ojHT28&feature=related *Tell students being able to graph basic quadratic functions without using a graphing calculator is important (why?) and the Quadratic formula will be a useful method to remember in graphing a quadratic function	1 minute
LEARNING OBJECTIVES	*to learn how to graph a quadratic function of a standard form, y=a(x-p)2+q, by hand
TEACHING OBJECTIVES	*to teach effective ways of graphing a quadratic function: using domain, range, vertex, x/y-intercepts using a shortcut (a, b, and c relations iny=ax2+bx+c)
PRETEST	*Test if the students can rewrite the general quadratic equation in standard form by using the method of completing the square	2 minutes
PARTICIPATORY LEARNING	*Observe changes in graphs by altering a, b, and c in y=ax2+bx+c: - discuss the role of a, b, and c (use the following simulation to demonstrate the role of ‘a’ http://phet.colorado.edu/sims/equation-grapher/equation-grapher_en.html) *Do a specific example by sketching a quadratic function of standard form by finding:      1. vertex      2. maximum and minimum      3. x & y-intercepts - analyze the domain and range *Compare the graph on paper with the one on the graphing calculator screen	1 minute 4 minutes	graphing calculators
POST-TEST	*Give students an example to work on their own and let them check their graphs with the graphing calculator *Each of us will go to a group of 5-6 students and help them if questions/difficulties arise	5 minutes	graphing paper, graphing calculators
SUMMARY & WRAP-UP	*If the students grasp the main idea, then we can introduce the shortcut method. (a, b, and c relations in y=ax2+bx+c )     1. x-coordinate of vertex = -b/2a     2. y-coordinate of vertex = c-b^2/(4a)         (or by plugging in the x-coordinate to the          given function)     3. y-intercept = (0, c)     4. x-intercept = (x, 0), where x can be found by          using the quadratic formula *For some quadratic functions with complicated numbers, we might not be able to draw by hand; however, it is important to understand the process and the basic shape of the graph.	1-2 minutes