tag:blogger.com,1999:blog-30226356.post1587629482142610029..comments2024-02-16T23:32:12.073-08:00Comments on The Exponential Curve: Next Lesson: Sum & Difference of CubesDan Wekselgreenehttp://www.blogger.com/profile/08696028020767073620noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-30226356.post-21282695410795982032007-02-02T17:48:00.000-08:002007-02-02T17:48:00.000-08:00I agree that these patterns can lead to interestin...I agree that these patterns can lead to interesting stuff, but I don't see why it needs to be covered in algebra 2 per se. There is so much to get done; I think that the standards should focus on the foundational algebra concepts needed for success in higher level math. The sum and difference of cubes patterns can only be used to solve a very specific kind of problem - I think it should be an optional topic at this level, not something that we are held accountable for on the STAR tests.Dan Wekselgreenehttps://www.blogger.com/profile/08696028020767073620noreply@blogger.comtag:blogger.com,1999:blog-30226356.post-77876948660254534282007-02-02T15:39:00.000-08:002007-02-02T15:39:00.000-08:00Oh that is interesting stuff actually.
I just go...Oh that is interesting stuff actually. <br /><br />I just got finished reviewing/relearning this concept on my own from an older algebra book. The neat thing for me was that understanding that a^x - b^x always has a factor of a - b segueyed into finding the limit of a geometric series.<br /><br />It wasn't until I figured out the general statement for factoring cubes and higher powers that I appreciated how finding the limit of the sum of an infinite geometric series "worked."Anonymousnoreply@blogger.com