tag:blogger.com,1999:blog-5473916205424933781.post8926784580274408810..comments2024-02-06T05:26:29.877-05:00Comments on M^3 (Making Math Meaningful): TMC14 - Thinking Through Day 1 of Algebra 2Mary Bourassahttp://www.blogger.com/profile/12427568524129802618noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-5473916205424933781.post-54545089329538736772014-08-03T07:51:42.248-04:002014-08-03T07:51:42.248-04:00ahhhh, why did i never think of this. we do y = mx...ahhhh, why did i never think of this. we do y = mx+c (internationally we use c instead of b) and Ax + By = C, but not this form.<br /><br /><br />and it fits SO perfectly with what i do with my students in transformational geometry. it has always been difficult for them to understand why you use the opposite signs when you put the translation into the equation...then it doesn't really get reinforced until they do quadratics (which in our curriculum is a full year later!). this year i will reinforce it with linear equations!<br /><br />now i need to rethink my pacing, because i do have linear equations before transformations, but this is too good a connection to miss. i love it. thanks for posting about it!! Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-5473916205424933781.post-50306938851685290832014-08-02T07:53:50.873-04:002014-08-02T07:53:50.873-04:00Y=mx+b is big in Algebra 1, I have used Glenn mode...Y=mx+b is big in Algebra 1, I have used Glenn model (vertex form, tho its really not that for several functions) the past 2 years. We have an intro functions unit and explore transformations there. I assign students different functions, they explore manipulating a, h, K and develop connections btwn eq. And graph transformation. We then jig saw, putting 3 or 4 different function people together and they share their findings, create mini-golf we on white boards of big ideas, then while class discussion. Then we stand up and model function transformations with our physical movements. pamjwilsonhttps://www.blogger.com/profile/15913770804266346807noreply@blogger.comtag:blogger.com,1999:blog-5473916205424933781.post-83008260139209158592014-07-31T11:52:31.022-04:002014-07-31T11:52:31.022-04:00I know y=a(x-h)+k as "point-slope" form....I know y=a(x-h)+k as "point-slope" form. I feel the same way as you: it kind of bugs me but only because I'm so used to seeing y=mx+b. I also agree that point-slope form is definitely more useful because you can choose ANY point on the line. If you choose the y-intercept, then h is zero and, voila, you have slope-intercept form. I like the idea of doing y=mx+b first (the kids are familiar with it) and then spiraling back to lines with y=a(x-h)+k later to tie in with other functions.Anonymoushttps://www.blogger.com/profile/10741947068530736216noreply@blogger.comtag:blogger.com,1999:blog-5473916205424933781.post-85763482047202324502014-07-28T11:54:28.482-04:002014-07-28T11:54:28.482-04:00They definitely could go together. Spiraling is gr...They definitely could go together. Spiraling is great because you can do multiple forms of the same thing in different cycles. So if you need to do y = mx + b you could do that during the 1st cycle, then introduce y = a(x - h) + k in the next cycle and tie them together.Mary Bourassahttps://www.blogger.com/profile/12427568524129802618noreply@blogger.comtag:blogger.com,1999:blog-5473916205424933781.post-66248377978493239792014-07-27T01:25:43.398-04:002014-07-27T01:25:43.398-04:00I'm wondering if you think that Glenn and Jona...I'm wondering if you think that Glenn and Jonathon's way could be merged? I like the (h, k) form and multiple representations but I like Jonathan's idea of cycling through and the algebra first. Do you think they could go together? miss.calcul8https://www.blogger.com/profile/02014623484245570719noreply@blogger.com