A Math Fair Theorem

| | Comments (0) | TrackBacks (0)
I judged a  middle school math fair a couple of weeks ago.   At the fair, I found out how many Airheads, Reese's Pieces or marshmallows it would take to tile and/or fill a typical classroom.  I also learned how to decide whether to drive may family to Florida or buy airline tickets, etc.   Lots of typical projects, but one was obvious, mathematical and neat, because it isn't a textbook fact (at least as far as I know).

Here it is.  Draw a semicircle. Then draw smaller semicircles whose diameters cover the diameter of the larger semicircle.  Like this:
Thumbnail image for semicircle.jpg
No matter what what smaller semicircles you insert, the sum of their circumferences is equal to the circumference of the larger semicircle.  It's totally obvious, but these were 6th graders and they did a nice job explaining it.

0 TrackBacks

Listed below are links to blogs that reference this entry: A Math Fair Theorem.

TrackBack URL for this entry: http://blog.uml.edu/mt-tb.cgi/1936

Leave a comment

Type the characters you see in the picture above.

Comment Policy

Comments are welcome on University of Massachusetts Lowell blogs. Although the way in which comments are handled is up individual blog owners there are some guidelines to which all commenters should adhere:

  • Comments should not include swearing or profanity
  • Personal attacks against bloggers or other commenters will not be tolerated
  • Comments should not be defamatory or libelous
  • All commenters must supply a genuine email address. This will not be published.

Other points:

  • Blog owners reserve the right to edit or delete comments that do not adhere to the guidelines above.
  • All comments are moderated before they appear on the blog.
  • A spam filter operates on all blogs. Sometimes genuine comments may get incorrectly marked as spam, especially if they contain a number of links. If this occurs please try to be patient, your comment will be approved when the blog owner reviews the spam.

About this Entry

This page contains a single entry by Levasseur, Kenneth published on June 9, 2011 4:51 PM.

Cotangents - the UML Math Blog is the next entry in this blog.

Find recent content on the main index or look in the archives to find all content.

Subscribe to feed Subscribe to this blog's feed