tag:blogger.com,1999:blog-1210764468738959445.post8879520471263886932..comments2016-11-04T17:25:11.828-04:00Comments on Do we understand?: Transformations vs. Order of OperationsProfJonhhttp://www.blogger.com/profile/10458868925258435912noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-1210764468738959445.post-72353883262645350982016-11-04T17:25:11.828-04:002016-11-04T17:25:11.828-04:00Nice question! It certainly follows order of opera...Nice question! It certainly follows order of operations--has to, right? <br /><br />x --> (-x) --> (-x)-1 --> sqrt((-x)-1)<br /><br />First work within the grouping symbol (sqrt). Then multiply x by -1. Then subtract. Now that's done, so look outside the grouping symbol. That means apply the sqrt.<br /> <br />But the question is whether the "rules" provided by the book will yield the same result as applying the order of operations. The answer there is no, but that's ok: the conditions for applying the rules has not been met: the function is you named has a horizontal reflection (b/c of the -x), and the book's "rules" are not meant to be applied in that case. Jon Hasenbankhttp://www.blogger.com/profile/10538045353594459444noreply@blogger.comtag:blogger.com,1999:blog-1210764468738959445.post-6722337669047015762016-11-04T13:33:17.026-04:002016-11-04T13:33:17.026-04:00What if you graph Square root of (-x-2)? Does this...What if you graph Square root of (-x-2)? Does this follow order of operations? Unknownhttp://www.blogger.com/profile/15940809643983289059noreply@blogger.comtag:blogger.com,1999:blog-1210764468738959445.post-6982269408017197092016-02-02T21:15:56.330-05:002016-02-02T21:15:56.330-05:00I meant GEMA instead of PEMDAS--not order of opera...I meant GEMA instead of PEMDAS--not order of operations! LD Helferhttp://www.blogger.com/profile/15362613994636151867noreply@blogger.comtag:blogger.com,1999:blog-1210764468738959445.post-47052729657748791762016-02-02T07:53:38.041-05:002016-02-02T07:53:38.041-05:00Thank you for linking to my blog post on using GEM...Thank you for linking to my blog post on using GEMA instead of order of operations. I have received great feedback from teachers who have tried using this method instead of PEMDAS. <br /><br />Lauren @ www.leafandstemlearning.comLD Helferhttp://www.blogger.com/profile/15362613994636151867noreply@blogger.com