1. 1-5 Adding Integers There are three parts to today's lesson: Adding positive integers Adding negative integers Adding a positive integer and a negative integer - Using the number line - Using tiles - Using the rules Review: Integers: Positive, negative whole numbers and zero (no decimals or fractions) New Material:

2. I. Adding Positive Integers (Regular Addition) 1.) 9 + 15 = 2.) 3 + 12 = 3.) 17 + 2 + 3 = II. Adding Negative Integers (Regular Addition) 1.) -18 + (-5) = 2.) -74 + (-5) = 3.) -1 + (-2) + (-3) =

3. III. Adding A Positive and A Negative Integer - A.) Using the number line 10234567 89 10 -2-3-4-5-6-7-8-9-10 1.) -4 + 6 = 2.) (-8) + 6= 3.) -10 + 7 = *4.) 5 + (-6) =

4. B.) Using Tiles means + 1 means -1 You can use tiles to add integers. The zero principle states that when you add two opposites, their sum is equal to zero. (+1) + (-1) = 0 III. Adding A Positive and A Negative Integer

5. 5 + (-4) = (-6) + 2 = Solve each problem using the tiles. Draw the tiles to help solve the problems.

6. Rule: III. Adding One Positive and One Negative Integer C.) Using the Rule 1.) (-8) + 132.) 3 + (-19)3.) 12 + (-4) Subtract the absolute values the answer has the sign of the number with the larger absolute value

7. Practice: 1.) 16 + (-9) 2.) -9 + 13 3.) 5 + (-5)4.) -2+ (-18) 5.) -22 + (-9)6.) -7 + 28 7.) -27 + 138.) -19 + 27 9.) -23 + 3110.) -5 + 31

8. Other Examples: W hen adding many integers, try adding all the positive or negative integers first. Then add the two numbers. 1.) -7 + 14 + (-3) 2.) 13 + (-6) + (-12) 3.) -4 + (-9) + (-5) + 12 4.) -14 + 22 + 2 5.) -2 + (-13) + (-5) 6.) 116 + (-119) + (-8)