tag:blogger.com,1999:blog-684256519801046819.post8143222331027334327..comments2016-01-18T08:36:53.182-08:00Comments on Math is Happening Now: Mission #3: What Else is Happening Out There?Laura Hawkinsnoreply@blogger.comBlogger6125tag:blogger.com,1999:blog-684256519801046819.post-89571987467393996522013-10-28T21:52:14.265-07:002013-10-28T21:52:14.265-07:00This may help: http://www.mathedpage.org/infinity/...This may help: http://www.mathedpage.org/infinity/cubes.htmlHenri Picciottohttp://www.blogger.com/profile/06875198126877279937noreply@blogger.comtag:blogger.com,1999:blog-684256519801046819.post-48406628280682357542013-10-27T18:15:43.221-07:002013-10-27T18:15:43.221-07:00I'm totally geeked out on this site as well. ...I'm totally geeked out on this site as well. it's completely fascinating to me how much math there is in one pattern: tables, graphs, simplifying expressions, expanding brackets, equivalent expressions, quadratic, linear, cubic...it's amazing! THanks for the post.mathybeaglehttp://mathybeagle.wordpress.com/noreply@blogger.comtag:blogger.com,1999:blog-684256519801046819.post-92149224099536732342013-10-27T10:06:19.790-07:002013-10-27T10:06:19.790-07:00Thanks for your comment! How crazy that Pattern 10...Thanks for your comment! How crazy that Pattern 100 is the squares of the triangular numbers! I didn't realize it until you pointed it out. Makes me wish I knew more about them to understand why that would be! I'll update with my students' responses on Monday!Laura Hawkinshttp://www.blogger.com/profile/09821023948980936380noreply@blogger.comtag:blogger.com,1999:blog-684256519801046819.post-3703352770777901182013-10-25T08:45:50.942-07:002013-10-25T08:45:50.942-07:00Nice post, I'd like to know what your students...Nice post, I'd like to know what your students thought of it?<br />Pattern 100 is indeed 4th degree and it happens to be the squares of the triangular numbers (according to the online encyclopedia of integer sequences). I'm wondering how to make sense of that visually....trigortreathttp://trigortreat.wordpress.com/noreply@blogger.comtag:blogger.com,1999:blog-684256519801046819.post-77324706768670437652013-10-24T07:28:25.704-07:002013-10-24T07:28:25.704-07:00Hi Fawn! Thanks for the comment and all the love! ...Hi Fawn! Thanks for the comment and all the love! And thank you even MORE for the awesome site!!<br /><br />And I definitely agree that that's how you could calculate the value of step 43 for Pattern 100. But for finding the rule (because that's a lot of multiplying and adding unless you're using a computer program for it), it's definitely 4th degree even though each step is made up of cubes. (Which is part of what I like about it - it's tricky that way!) Now I'm going to have to sit down and figure it out :)<br /><br />My tweet is blowing up on twitter (by my standards, anyways) so hopefully you'll get a lot more visitors to your site, which means a lot more kids will get to benefit from the hard work you did. Thank you!!Laura Hawkinshttp://www.blogger.com/profile/09821023948980936380noreply@blogger.comtag:blogger.com,1999:blog-684256519801046819.post-58414873879865843482013-10-23T22:37:23.011-07:002013-10-23T22:37:23.011-07:00Hi Laura! OMG, whose site is this?? So awesome. Th...Hi Laura! OMG, whose site is this?? So awesome. The person who started it must be awesome too. She's my new cool hero, for sure. (Okay. Enough before I really throw up on myself :)<br /><br />I'm super thrilled that you're using the site with students. That's why it's there!! It really is a labor of love, and of course MANY teachers have contributed to the site, including Chris Robinson who helps me with all the coding.<br /><br />Pattern #100... I never (very rarely) use table of values and find the difference until it's constant. I just look at it. I'm seeing that step 43 has 43 sets of cubes, the biggest (at the bottom) is a 43x43x43, then 42x42x42, .... all the way up to 1x1x1. So, it's like sum of consecutive integers, in this case sum of consecutive cubes. Since we're dealing with cubes, shouldn't it be 3rd degree? <br /><br />Spread the love, Laura. Thank you so much for sharing!Fawn Nguyenhttp://www.blogger.com/profile/03605571262680195155noreply@blogger.com