tag:blogger.com,1999:blog-8399389267815059112.post3221489081441512341..comments2024-09-05T06:01:28.380-05:00Comments on Algebra's Friend: #70Days Function FunAlgebra's Friendhttp://www.blogger.com/profile/04729315514507170702noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-8399389267815059112.post-34068295860119955372014-08-04T05:04:50.400-05:002014-08-04T05:04:50.400-05:00i love this, but i would also ask the kids to do s...i love this, but i would also ask the kids to do some writing about why they chose what they choose. this could also be done informally by asking the students to present their reasoning. still, i'm a big fan of writing reflections and writing for understanding in math. so i might add some questions like:<br /><br />when you approached the first problem (input 6, output 11), which function(s) did you know could not be the last one. why not?<br />likewise, which function is probably not a good choice for the first one? why? <br />in general, is there any order that the functions could never go in? why not? <br /><br /><br />also: could there ever be two different orders that give you the same output? i don't know the answer to this, but i'm curious how students might approach this. <br /><br /><br />lastly, i'd probably ask the students to identify each type of function and give a sketch of it because i'm nuts about trying to keep reinforcing this idea that we can understand so much about what a graph looks like just by looking at its equation's form. <br /><br />thanks for this; i'll definitely use it! :)Anonymousnoreply@blogger.com