1. Whole Number Property of Addition- The Commutative Property Jennifer Cutting MTE-508 Model, Theories, and Instructional Strategies Professor Sara Ewell October 4, 2010 University of Phoenix

2. Introduction (continued) What is a whole number? A number that is not a decimal or a fraction Also called integers, natural number, or real numbers

3. Properties of Addition Commutative Property of Addition Associative Property of Addition Identity Property of Addition Closure Property of Addition

4. The Commutative Property Definition of “commute” Princeton University’s World Net Web (n.d.) defines commute as : “to exchange positions without a change in value; "These operators commute with each other" OR “travel back and forth regularly, as between one's place of work and home” Commuting means changing, replacing, or exchanging. People who travel back and forth to work are called commuters.

5. Example of Commutative Property Let’s say I have two commuters: Commuter A and Commuter B Lane 1 Lane 2

6. Example of Commutative Property (continued) Now commuter B is lane 1 and commuter A is in lane 2. Commuter B Commuter A Lane 1 Lane 2

7. Example of Commutative property (continued) Same distance 3 miles H+S = S+H No matter where you start or where you end it’s still 3 miles Just like the commuters A+B = B+A

8. Let’s Practice + 3 + 2 = 2 + 3

9. Your turn 6 teddy bears and 4 goldfish 1 goldfish and 7 teddy bears 5 goldfish and 5 teddy bears

10. References Christensen, T. (2010). What is a whole number. Retrieved July 10, 2010 from http://www.wisegeek.com http://www.wisegeek.com National Council of Teachers of Mathematics. (2010). Number and operations standards for grades pre-k-12. Retrieved July 12, 2010 from http://www.nctm.org/standards/content.aspx?id=3204 http://www.nctm.org/standards/content.aspx?id=3204 Princeton University. (2010). WordNet. Retrieved from http://wordnet.princeton.edu/ http://wordnet.princeton.edu/ Lanier Tech College. Subtraction of Whole Numbers. Retrieved July 12, 2010 http://www.ltcconline.net/greenl/courses/181/A/181a.htm http://www.ltcconline.net/greenl/courses/181/A/181a.htm