This midterm is due on disk at the beginning of class on Tuesday, October 19. Each file should be saved as indicated.

The upcoming hours for the lab (rm 111/113) are as follows:

Friday, Oct 15: 7:30-12:00, 2:30-5:00

Monday, Oct 19: 7:30-12:00, 2:30-4:30

For evenings, Saturday, & Sunday--just let me know when (within reason) you would like to get in and I will let you in.

1.Too Square!

In GSP, construct the figure shown at the right. Square B should rotate around the center point of square A. As square B rotates (see figures below), what is the largest possible area of the overlapping shaded region? the smallest?

Create a GSP sketch that explores this relationship. Answer the questions and prove your result. Your write-up should be dynamic--I should be able to change the sizes of the squares, rotate square B, etc... You should also take advantage of the "area" measurement option which will display the area of a polygon.

You should save this file as ***.gsp (where *** is your last name)

2.Q&A

Go to Ask Dr. Math on the Math Forum web site. Search the Archives for your first name. Browse some of the questions and answers that this search brings up. (If searching for you first name yields no results, try searching for the names of your relatives--this is just to get a random sampling of questions and answers from the archive--however, if you do use a different name, state what you used on your write-up).

Create a web page on which you can post the following:

a) Find a question for which the answer is particularly good. Provide a link to it from your page. Then explain what it is about the answer that makes it so good.

b) Find a question for which the answer is particularly poor. Provide a link to it from your page. Then explain what it is about the answer that makes it so bad. THEN, answer the question yourself (naturally you will want to answer it in a way you would consider 'good'), as if you were responding to the original e-mail (only you are placing your response on your web page--don't actually e-mail the person!).

Save this file as ***.html (*** is still your last name)

That's it. Save these two files to a disk and put your name on it. You will hand it in first thing Tuesday morning. Good luck!