Friday, October 15, 2010

Microteaching: Sketching a Quadratic Function by Maria, Hungdang,and Esther





WHAT
HOW LONG
MATERIALS
BRIDGE
*Review Quadratic Formula by introducing the fun song from the web:
*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, pastedGraphic.pdf, by hand



TEACHING OBJECTIVES
*to teach effective ways of graphing a quadratic function:
1.        using domain, range, vertex, x/y-intercepts
2.        using a shortcut (a, b, and c relations inpastedGraphic_1.pdf)



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 pastedGraphic_2.pdf:
- discuss the role of a, b, and c 
(use the following simulation to demonstrate the role of ‘a’
*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 pastedGraphic_2.pdf)
     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



1 comment:

  1. This is a good lesson plan, Hung Dang, and the lesson itself went fairly well. However, you have not yet posted your reflections on your self-assessment and your peers' assessment of the group microteaching. Please do so, and let me know when it is posted, so that I can revise your assignment mark.

    ReplyDelete