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_______North Seattle College____________________________________________________________ Math and Sciences Division Mr. Thomas Math 084: Lesson Plan Date: Tuesday, September 23, 2014 Homework: R.2 Page 13 Problems 15-39 (odd) Due Wed, 9/24 Agenda: Attendance (2min) Warm-up (3min) Introduction to Integers (5min) Adding and Subtracting of Integers (10min) Multiplication and Division of Integers (10min) Practice Problems (20min) Warm-up: Can you get the number 24 from 4 4 4 3 ? How about 4 3 3 ? 3 (Using any combination of the basic four operations) Introduction: THE INTEGERS The integers is a subset of the real numbers…they are also called signed numbers or simply negative and positive numbers. The set of integers is an infinite set {…-4, -3, -2, -1, 0, 1, 2, 3, 4…} The set of integers is usually described on a number line: The sum and difference of any two integers is still an integer. The product of any two integers is still an integer. The quotient of any two may not be an integer. The set of integers is not closed under the operation division. _______North Seattle College____________________________________________________________ Math and Sciences Division Adding and Subtracting Integers: The easiest way to add and subtract integers is by using a number line, either one on paper or mentally… Example: What is -2 + 5 Step 1 Step 2 Step 3 Example: What is -5 - 2 Step 1 Step 2 Step 3 _______North Seattle College____________________________________________________________ Math and Sciences Division Example: What is 2 - 5 Step 1 Step 2 Step 3 *Note: Sometimes when you add or subtract integers, you have to do an extra step: Example ( Can you tell the difference between these and the ones we just did? ) -2 – (-3) = 5 – (-1) = -7 + (-1) = 3 + (-5) = Multiplying and Division is quite different from Adding and Subtracting Integers The following Rule is Instructive: (This rule holds for all Real Numbers, and therefore applies to the Integers) Positive */ Positive = Positive Positive */ Negative = Negative Negative */ Positive = Negative Negative */ Negative = Postive _______North Seattle College____________________________________________________________ Math and Sciences Division Examples: -3 * 4 = (-2)(-6) = 4(-2) = -16/2 = 12/-3 = -6/-2 = -----------------------------------------------------------------------------------------------------------------------------------------Practice Problems Class work Page 13 Problems 2-24 (even)