tag:blogger.com,1999:blog-5994368862134076388.post3474593251314558232..comments2024-02-16T16:37:35.080-05:00Comments on The Math Guy: Always True/ Sometimes True/ Never TrueMikeJacobshttp://www.blogger.com/profile/03272175755461671596noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-5994368862134076388.post-36283983198179601932014-06-05T16:18:33.206-04:002014-06-05T16:18:33.206-04:00Thanks Rupesh, I'm glad you found this useful....Thanks Rupesh, I'm glad you found this useful. Tracy Zager's Google doc which inspired this post can be found at http://tinyurl.com/elemASNMikeJacobshttps://www.blogger.com/profile/03272175755461671596noreply@blogger.comtag:blogger.com,1999:blog-5994368862134076388.post-21460638386629543912014-06-05T16:12:55.022-04:002014-06-05T16:12:55.022-04:00That's right so 'cutting a piece off a sha...That's right so 'cutting a piece off a shape reduces its perimeter' is sometimes true; I like to see and hear students argue with their examples and counter examples.MikeJacobshttps://www.blogger.com/profile/03272175755461671596noreply@blogger.comtag:blogger.com,1999:blog-5994368862134076388.post-60568452973045611482014-06-03T05:54:42.452-04:002014-06-03T05:54:42.452-04:00Beautiful Mike... I do keep asking similar questio...Beautiful Mike... I do keep asking similar questions to my students... But you have really not just extended but enriched my bank... :-)<br /><br />@Carisa, Thanks for posting your comment.. Learnt from that as well :)Rupesh Gesotahttps://www.blogger.com/profile/09059947826181197064noreply@blogger.comtag:blogger.com,1999:blog-5994368862134076388.post-19857114461928594692014-06-02T16:02:42.587-04:002014-06-02T16:02:42.587-04:00I really like the cutting a peice out of a shape q...I really like the cutting a peice out of a shape questions.If you cut a peice off of a shape you reduce it's perimeter. Couldn't you cut a V shape (triangle) out of a rectangle? The sum of the two sides now in the perimeter must be larger than the third side which was formerly in the perimeter. But,if you cut the corner off the rectangle you have reduced the perimeter for the same reason: the two legs of the right triangle cut out had a larger sum that hypotenuse that is now in the perimeter.Carisa Kochhttps://www.blogger.com/profile/13728598065231340587noreply@blogger.com