tag:blogger.com,1999:blog-5303307482158922565.post3982744864766876381..comments2024-03-22T13:39:55.941-07:00Comments on Math Mama Writes...: Monk Climbing Mountain PuzzleSue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-5303307482158922565.post-22660847142911685842012-11-14T10:27:39.439-08:002012-11-14T10:27:39.439-08:00I posted this because I wanted to talk about the I...I posted this because I wanted to talk about the IVT in class, and was unsure whether I could get to anything not public on the system. Turned out I couldn't get on the system at all, so I just drew the mountain and its path, and told the story. I gave them a few minutes, and most had no idea. I drew the distance along the path as a function of time, up in blue, down in red. They go it. I talked about what if a helicopter took the monk a ways down the trail, and connected that with continuity. <br /><br />I used this to show what the IVT can do for us. <br /><br />Why do we care about the IVT in Calc I? It feels like one of a number of random topics thrown in.Sue VanHattumhttps://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-12944369086789701872012-11-13T10:35:44.767-08:002012-11-13T10:35:44.767-08:00David, I think you could convince a good calculus ...David, I think you could convince a good calculus student with the IVT, but a picture is much better on a pre-calc student. For calculus students, perhaps a better question would be to ask if the conditions for the IVT are present .Pat's Bloghttps://www.blogger.com/profile/15234744401613958081noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-74301069275063211442012-11-13T09:53:51.196-08:002012-11-13T09:53:51.196-08:00I think you can prove this is true using the Inter...I think you can prove this is true using the Intermediate Value theorem.Davidhttps://www.blogger.com/profile/08098221991466148258noreply@blogger.com