Mathematics 4020 Problem Set 1

Due date: Monday, January 24, 2005

Please attach the specified Problem Set cover sheet to your assignment when you turn it in. Remember that it must be
stapled and also that this will only be accepted it it's turned in on time. You may not get full credit unless
you circle or box all answers!

List capital letters of the alphabet which have the indicated symmetry and make the longest word you can using that
set of letters.
(a) vertical reflection symmetry
(b) horizontal reflection symmetry
(c) rotational symmetry
Place all letters of the alphabet in a Venn Diagram letting L be the set of all letters (the universal set),
V the set of those letters with vertical symmetry, H the set of those letters with horizontal symmetry and R the
set of letters with rotational symmetry.
From the book:
12.1 B #3, 5, 11 page 563 #3
12.2 B #6, 8, 12 page 575 #2
12.3 B #4, 8, 9 page 586 #2
Reflection Question: (Must be Typed.) What misconceptions were cleared up for you with your new
knowledge of quadrilaterals? What new vocabulary terms did you learn in this chapter? What were the easiest
and hardest concepts for you in this chapter? What do you think that tells you about your learning style?

Extra Credit:
For a bonus 15 points, you can choose to do the following fun (it is not required). Go to the website
Map Coloring Fun .

Read the story of The Young Map Colorer.
Read "A Television Story" and answer the question: What does the problem in this story have in common with the map
coloring problem?
Print out all four town maps and color them according to what you learned in your reading.
Click on the Next Activity link (at the bottom of the page), read the information about making a 2-color map.
Then, create and color your own 2-color map.

This is a fun and simple math activity that young kids really enjoy. The 4-color map coloring theorem was only recently
proved mathematically, although it's been used by map colorers for a very long time.