tag:blogger.com,1999:blog-7806043650549721218.post3748257580568898093..comments2020-07-15T06:31:38.548-05:00Comments on EPSILON-DELTA: Intro to Average ValueRebecka Petersonhttp://www.blogger.com/profile/12227797437296056645noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-7806043650549721218.post-13964287631699571412013-06-14T15:47:35.985-05:002013-06-14T15:47:35.985-05:00Mr. Dardy!
Ok, I went back and forth on the histo...Mr. Dardy!<br /><br />Ok, I went back and forth on the histogram terminology after I read your comment. Here's my only problem with it: Histograms typically would have the score represented on the x-axis and the frequency on the y-axis. Because we're trying to find the average value of the score, I think it needs to remain what is typically the dependent variable (y) since this is will be the kids' very first intro to average value. Or can a histogram go the other way around, too? I'm no stat expert...<br /><br />That also takes me into #7...I'm hoping students will realize that the two steps they found--(1) find area, (2) divide by total length of interval--is just the infinite extension to what they've always done to find an average--(1) find sum, (2) divide by the total number of items. I want them to make the connection that a definite integral is, yes, a way to find area, but also that it's an infinite sum. So, is there a way to phrase #7 better so they know where I'm going with it? Or is that something I address on a case-by-case basis? (As of now, I'm planning to give this in class so they can work together.)<br /><br />Good call on not telling them it's an old AP question. If they don't finish it class, they'll have to take it home, and then they're sure to find it online! I can proctor that in class...can't do anything about it once they take it home. :) Rebecka Petersonhttps://www.blogger.com/profile/12227797437296056645noreply@blogger.comtag:blogger.com,1999:blog-7806043650549721218.post-24973673573925689342013-06-14T06:55:55.072-05:002013-06-14T06:55:55.072-05:00Rebecka,
For question #2 - Do they know the word ...Rebecka,<br /><br />For question #2 - Do they know the word histogram? If so, it might be clearer to use that language AND it might make them think on their own about connections to Riemann Sums<br /><br />LOVE that you emphasize units of measurement in #3.<br /><br />Not sure I understand what you're trying to prompt them for on #7.<br /><br />For the free response question, I might refrain from telling them the exact question. I don't know how your kids are, but mine know that they can find exact AP solutions on the web for old AP FR questions. I would definitely let them know that they accomplished an old AP FR, I just might wait until after the fact for them to know that.<br /><br />Nice work, thoughtful and structured. I'd love to share this with my AB colleague - I'm doing BC these days and will use some version of this as well (if it's okay with you)mrdardyhttps://www.blogger.com/profile/00226520636242484791noreply@blogger.com