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September 29, 2009 Math 102 Objective: Students will learn how to add integers. Aim: How do number lines help us to add integers? NYS Mathematics Standards: 7.N.12 Prior Knowledge: Find each sum: 5 + 7 = ____ 25 + 0 = ____ 11 + 21 = ____ 12 + 86 = ____ Mini-lesson: To add positive numbers on a number line, begin at the first number. Move right the same number of spaces as the second number. To add negative numbers on a number line, begin at the first number. Move left the same number of spaces as the second number. Ex. -2 + (-3) Start here, then move LEFT 3 units… Guided Practice: Find the sum of -1 and 3. Use a number line. 1. Graph the first number. 2. Start at -1 3. Since 3 is a positive integer, move right 3 units. Start here, then move to the RIGHT 3 units… Write the Sum. -1 + 3 = 2 Independent Practice: Complete Exercises 23, 26, 30, 34, 35 Mr. Brooks will visit each desk, review your work, and answer any questions you may have. Group Activity (Lesson Extension): (Mr. Brooks will hand out red and yellow counters) Find the sum of 2 and -6. Use counters. 1. Write the addition expression 2 + (-6). 2. Use 2 positive (yellow) counters to represent the first number. 3. Use 6 negative (red) counters to represent the second number. 4. You can make 2 zero pairs (1 red and 1 yellow cancel each other out). 5. There are 4 negative counters left. 6. Write the difference. 2 + (-6) = -4 Assessment: Which are correct? If not, why not? 1. -8 + 3 = -11 ___________ 2. The number line shows -2 + 5 = 3 _______ 3. The sum of -6 and -9 is -15 ________ Homework: 8-1 Skills Practice worksheet