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Objective: Students will add integers using models and rules (11-3).

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Vocabulary Zero pair – the result of pairing one positive counter with one negative counter.

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Steps “Place” all positive counters on the paper. “Place” all negative counters on the paper. Pair up all positive and negative counters. Remove as many zero pairs as possible. Remember zero pairs do not change the value of the problem.

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Examples Use counters to find -4 + 3.

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Examples Use counters to find -4 + 3. - - - - Place 4 negative counters on the mat to represent -4

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Examples Use counters to find -4 + 3. - - - - + + + Place 4 negative counters on the mat to represent -4. Then place 3 positive Counters on the mat to represent 3.

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Examples Use counters to find -4 + 3. - - - - + + + -+ + + - - - Place 4 negative counters on the mat to represent -4. Then place 3 positive counters on the mat to represent 3. Pair the negative and positive counters. Remove as many as possible.

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Examples Use counters to find -4 + 3. - - - - + + + -+ + + - - - - Place 4 negative counters on the mat to represent -4. Then place 3 positive counters on the mat to represent 3. Pair the negative and positive counters. Remove as many as possible. Count the counters left on the mat. So, -4 + 3 = -1.

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Examples Use counters to find -2 + (-2).

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Examples Use counters to find -2 + (-2). - - Place 2 negative counters on the mat to represent -2.

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Examples Use counters to find -2 + (-2). - - Place 2 negative counters on the mat to represent -2. Then place 2 more negative counters on the mat to represent the other -2. - -

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Examples Use counters to find -2 + (-2). - - - -- - Place 2 negative counters on the mat to represent -2. Then place 2 more negative counters on the mat to represent the other -2. Since there are no positive counters you can not remove any zero pairs. So, -2 + (-2) = -4. - -

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Rules for adding integers: Read directions/copy problem. If you have like signs (+,+ or -,-), you are to add and keep the same sign. If you have unlike signs(+,- or -,+), you are to subtract and take the sign of the largest #.

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Examples On a popular TV game show, a contestant has 200 points and then loses 500 points. What is the contestant’s score?

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Examples On a popular TV game show, a contestant has 200 points and then loses 500 points. What is the contestant’s score? You need to find the sum of 200 + (-500). (Consider a number line.)

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Examples On a popular TV game show, a contestant has 200 points and then loses 500 points. What is the contestant’s score? You need to find the sum of 200 + (-500). (Consider a number line.) -300 -200 -100 0 100 200 300

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Examples On a popular TV game show, a contestant has 200 points and then loses 500 points. What is the contestant’s score? You need to find the sum of 200 + (-500). (Consider a number line.) -300 -200 -100 0 100 200 300 Start at 0 and go to 200 in the positive direction (right).

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Examples On a popular TV game show, a contestant has 200 points and then loses 500 points. What is the contestant’s score? You need to find the sum of 200 + (-500). (Consider a number line.) -300 -200 -100 0 100 200 300 Start at 0 and go to 200 in the positive direction (right). From that point, go 500 in the negative direction (left).

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Examples On a popular TV game show, a contestant has 200 points and then loses 500 points. What is the contestant’s score? You need to find the sum of 200 + (-500). (Consider a number line.) -300 -200 -100 0 100 200 300 Start at 0 and go to 200 in the positive direction (right). From that point, go 500 in the negative direction (left). You end at -300. So, 200 + (-500) = -300

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Guided Practice State whether each sum is positive, negative, or zero. -5 + 3 -3 + 7

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Guided Practice State whether each sum is positive, negative, or zero. -5 + 3 negative -3 + 7 positive

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Find each sum. Use counters or a number line if necessary. 3 + (-1) 0 + (-2) -4 + (-8) 4 + (-6)

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Find each sum. Use counters or a number line if necessary. 3 + (-1) 0 + (-2) 2 -2 -4 + (-8) 4 + (-6) -12 -2

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Find the sum of -4, 8, and -12.

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-4 + 8 + (-12) 4 + (-12) -8

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