Adding Integers with and without Models September 20, 2012.

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Presentation transcript:

Adding Integers with and without Models September 20, 2012

 Modeling integer addition with counters:  represents a positive integer and represents a negative integer  Add the number of counters represented by each integer  When modeling integers a create a zero pair and cancel each other out  The remaining counters signify your answer Modeling Integer Addition with Counters + +

 Modeling integer addition with a number line  Moving right on the number line represents a positive integer and moving left on the number line represents a negative integer  Start at Zero and move the number and direction indicated by the first integer  From that number, move the number and direction indicated by the second integer  The number where you end is your answer Modeling Integer Addition with a Number Line

Model each problem using counters and a number line

 To add integers with the SAME SIGN:  Find the sum of their absolute values  Use the sign of the two integers  To add integers with DIFFERENT SIGNS:  Find the difference of their absolute values  Use the sign of the integer with the greatest absolute value Adding Integers without Models

Answer each question without using models

Additional Practice

10. On an underwater expedition, a diver started at a depth of 125 ft. If she dove 39 ft. further, what is her depth now? Additional Practice