Let's see, every even number can be written as 2k so (2k)^2, ;when divided
by 4 yields a remainder of 0. Every odd number can be written as 2k+1, so
(2k+1)^2, when divided by 4 yields a remainder of 1. Hence, since even and
odd numbers alternate, the remainders will follow the pattern 0,1,0,1,...
regardless of which even number you start with. Probably a little abstract
for the typical intermediate algebra class, but after they understand the
concept of factoring perfect square trinomials and squaring binomials,
maybe.....
Oh no, we are back to the do-students-need-to-know-how-to-factor discussion.=
:-)
Bret
>
>***************************************************************************=
*
>* To post to the list: email mathedcc@archives.math.utk.edu *
>* To unsubscribe, send mail to: majordomo@archives.math.utk.edu =
*
>* In the mail message, enter ONLY the words: unsubscribe mathedcc =
*
>* Words in the Subject: line are NOT processed! *
>* Archives at http://archives.math.utk.edu/hypermail/mathedcc/ =
*
>***************************************************************************=
*
>
>
Bret Taylor Lake-Sumter Community College Leesburg FL
"It matters not the subject taught, nor all the books on all the shelves.
What matters more, yes most of all, is what the teachers are themselves."
John Wooden
John 3: 3^3 + 3
****************************************************************************
* To post to the list: email mathedcc@archives.math.utk.edu *
* To unsubscribe, send mail to: majordomo@archives.math.utk.edu *
* In the mail message, enter ONLY the words: unsubscribe mathedcc *
* Words in the Subject: line are NOT processed! *
* Archives at http://archives.math.utk.edu/hypermail/mathedcc/ *
****************************************************************************