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

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

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

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.

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

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

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

Let’s Practice = 2 + 3

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

References Christensen, T. (2010). What is a whole number. Retrieved July 10, 2010 from National Council of Teachers of Mathematics. (2010). Number and operations standards for grades pre-k-12. Retrieved July 12, 2010 from Princeton University. (2010). WordNet. Retrieved from Lanier Tech College. Subtraction of Whole Numbers. Retrieved July 12,