LEADERSHIP PROGRAM IN DISCRETE MATHEMATICS

CONTENT MAP FORM

AUGUST 1994



A.1. TITLE OF DATABASE FILE:	c10mGie.exponGrwth

A.2. TITLE OF ACTIVITY:		Exponential Pet Peeves

A.3. CATEGORY:	Sequences & Dynamical Systems

A.4. SUB-CATEGORY:	Exponential Growth/functions

A.5. PERSON CREATING FILE:	Diane DePriest typed by Giesing



B.1. DESCRIPTION OF ACTIVITY:	Give students a feel for just how
rapid exponential growth is.  At higher levels, students can generate
& plot exponential functions.
	Have students write down their pet peeve chore, and a sum of
money they'd agree to do the chore for.  Tell them to offer their
parents the following deal: $.01 for first day, $.02 the 2nd , $.04
the third, $.08 the fourth,etc.  Is it a good deal?  How much will
they have after a week?  a month?  At higher levels students can
derive 4 = 2^x, plot & compare with other exponential functions?  How
does exponential growth compare the power growth y = x^2? Y = x^5?
Depending on level, students need to know
 -ability to multiply (lower levels)
 -power functions (higher levels)


B.2. RESOURCES USED FOR ACTIVITY:	paper and pencil


B.3. REFERENCE FOR ACTIVITY:	Marilyn Burns activities


C.1. GRADE LEVEL FOR ACTIVITY:	9 - 12

C.3. STUDENT ABILITY LEVEL FOR ACTIVITY:     low to high	

C.3. LENGTH OF ACTIVITY:	



D.1. CONNECTIONS TO TRADITIONAL CURRICULUM:	Pre-Algebra to PreCalculus


D.2. CONNECTIONS TO OTHER SUBJECT AREAS:	



D.3. PREREQUISITE DISCRETE MATH ACTIVITIES:



D.4. SUBSEQUENT DISCRETE MATH ACTIVITIES THAT BUILD ON THIS ACTIVITY: