Use of Concept Map in Math

For my class, we will be discussing and working on the order of operations. For the lecture, I will be using a concept map to help as a visual for students. The concept map will have the order starting at the top with parentheses and on down. The first sub links will list the acronym PEMDAS: Please Excuse My Dear Aunt Sally (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction).  The last two branches will have an example problem, where the students will work out the problem in the space provided and a place to put their answer. The concept will be a good tool for students to see the Order and then work out some problems on their own using the map as a guide.

 For the discussion, we will start out by watching the video from YouTube that has made the acronym into a song.  I feel that the song will be entertaining and helpful to the students for remembering the order. There are two links that will serve as more explanations or practice of the material. The first one under the Exponents will take the students to a site that goes over exponents more and the different ways exponents can appear.  The other link, under the Addition or Subtraction will allow me to go to a site where I can print off more practice work for the students. This is if I feel they could use more practice. The link under Multiplication and subtraction will take students to a site where they can test their skill level over multiplication, division, addition, and subtraction.  After the students have completed that, they can print off their results to see which areas they need to work on. The link under Parentheses is a very good interactive game for the students to take what they have learned from the lesson and try to compete with other classmates. 

lllllllllllllllllllllllllll Theorem

After looking over the teaching standards, I came across one standard that was unknown to my educational experience; "State, prove, and use De Moivre's Theorem." After a moment's pause, I took a few deep breathes and ventured to the mysterious realm of Google in search of De Moivre's Theorem. Following the click of the search button, I came across a theorem more fierce than I had ever experienced. It was the De Moivre's Theorem. For those of you still reading along and need to...


If the complex number z= r(cos a + sin a), then

Which as I scroll down the page I find that:

If  z = r (cos a + sin a), and n is a natural number, then

Horrified by the events that had unfolded, I felt faint, sick, and a little hungry. I became very dizzy, and my head and computer desk came together with a thud. 

Thank you, Cliff Notes, for the theorem and pictures. For information on the theorem: Yay!