Math 46, Mathematics in Art, Culture, and Society: A Liberal Arts Math Class
Spring 2019 Home Page

Syllabus ("Green sheet")

Class 2, Thu., Apr. 11, 2019

Class 1, Tue., Apr. 9, 2019
Today we played the pattern game and the 1 & 2 take-away game, and also learned to make our first names into a clapping slapping rhythm, as well as a marching rhythm. Please practice!

In the take-away game, in which each player removes 1 or 2 counters on each move, the last player to move winning. 
We saw that the losing postions are all multiples of 3.
What happens if a player may remove 1, 2, or 3 counters on each move?

Chapter 1 homework to be added in with homework from chapter 2 when you turn that in, is to do any five of the following problems which begin on page 33: #3, 6, 8, 12, 13, 16, 17,18. Note that there are hints following the problems!

Here is the pattern game we played in class. Print this out and include in your portfolio.

Here are some of the vocabulary words we have used or will use soon during class related to the pattern game. Try to use each one in a sentence, to make sure you understand them: 
multiple: 12 is a "multiple" of 3 and of 4. 3 and 4 are "factors" of 12. Is 13 a multiple of 1? Is 0 a multiple of 13?
horizontal (row): parallel to the horizon. Often means we are thinking about right and left.
vertical (column): up and down
odd numbers : 1,3,5,7,... These numbers are "congruent" to 1, mod 2. Is -1 an odd number? (We'll learn about number "congruence" soon!)
even numbers : 0,2,4,6,8, .... Is 0 even? These numbers are "congruent" to 0, mod 2. Is -6 and even number?
alternate or alternation: a pattern in which two "sub-patterns" are each displayed in every other section of the pattern.