01 November 2007

Algebra is not wild...

...it is accurate and efficient. I know you are all missing math, given the activities which keep us from meeting as a class.

One suggestion I will make is to change subtraction to addition of the opposite before you begin any distributions. It is often difficult to visualize what is being distributed to a group when the group is being subtracted. For now, apply the algebraic definition of subtraction until you are completely comfortable with and clear on appropriate distributions.

For example: (11x+9) - (7x-3).

First, change subtraction to addition of the opposite: (11x+9)+-(7x+-3).

Then apply the distributive property: 11x+9+(-1)(7x)+(-1)(-3).
[Continue accordingly from there.]

The alternate approach to that simplification is to "distribute the negative sign."
Doing this would yield: 11x+9-7x-(-3).
[This explanation may be clearer in person.]

Please come see me if you have any questions regarding any of the work you are doing.

Your lesson masters for 2.4 are corrected and will be in your folders. Please look at these and correct the mistakes you made. This will be on the quiz on Tuesday.

The homework for next class is as follows:
1. section 2.4 (17-23)
2. post your number puzzle on the blog
3. read section 2.5
4. complete the notes hand-out on section 2.5
5. section 2.5 (10-17)

3 comments:

rt said...

miss. Hogan,
i do not quite understand the distributing the negative sign. If you add a negative sign to a number wouldnt you have to change the 1st sign to a plus sign? Also, will this be on the quiz on tuesday?

the next Math Idol said...

After you "distibute the negative sign," it does affect each subsequent term...as it is, we read that sign as "the opposite of," so you will have the opposite of what you started with. HOWEVER, if it is confusing to think of it in that way, please use the Algebraic Definition of Subtraction and change all subtractions to addition of the opposite before proceeding with your simplification. This is a key way to avoid making errors!

rt said...

okay....thanks Miss Hogan i understand it now! Thnaks!