Important announcements:
Test 3 is scheduled for Tuesday, 27 October 2009;
Quiz is scheduled for Thursday, 22 October 2009 – I hinted that you should know how to solve a quadratic equation by completing the square by Thursday.
Today, we covered Section 2.4: Solving Quadratic Equations Algebraically using the following methods:
- factoring and using the Zero Product Property
- Square Root Theorem
- Completing the Square
- Quadratic formula
- Graphing and finding x-intercepts
Here is a java applet to show the geometric reasons for the various steps in completing the square:
http://illuminations.nctm.org/ActivityDetail.aspx?ID=132.
Here is a webpage that has several examples of completing the square using the same steps that I have shown in class:
http://www.themathpage.com/alg/complete-the-square.htm.
Keep in mind, if you are asked to use a particular method to solve a quadratic, then you are expected to use that method. If you are only asked to solve, then you may use any method.
The next homework assignment is due on Tuesday, 27 October 2009 and consists of the following:
Section 2.2: # 21, 25, 29, 33, 37, 41, 45, 49, 53, 65, 67, 69.
Section 2.4: # 23-65 odd
Section 2.5*: # 1-11 odd, 15, 17, 19, 21, 23, 27, 31, 33, 35, 37, 39, 41, 43, 45, 49-59 odd
Section 2.6**: # 7, 8, 11-27 odd, 47, 51, 55, 59, 63, 67, 71, 73, 75, 77.
* Note: We have not completed any examples yet from this section. We will discuss them on Thursday.
** Note: The homework for this section may or may not be due – a decision will be made by Thursday.
