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# Integers

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• ### Integers

1. 1. Integers<br />
2. 2. Definitions or Terms You Need to Know<br />The number line goes on forever in both directions. This is indicated by arrows.<br />Whole numbers greater than zero are called positive integers. These numbers are to the right of zero on the number line. <br />Whole numbers less than zero are called negative integers. These numbers are to the left of zero on the number line. <br />What I Know<br />Mrs. Glosser's Math Goodies 1998.<br />
3. 3. The integer zero is neutral. It is neither positive nor negative. <br />The sign of an integer is either positive (+) or negative (-), except zero, which has no sign. <br />Two integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line. One will have a positive sign, the other a negative sign. In the number line above, +3 and -3 are labeled as opposites.  ( Glosser, 1998)<br />
4. 4. The Integer Song<br />http://www.youtube.com/watch?v=8eRQprqEGmk<br />
5. 5. Using a Number Line<br />When adding one or more numbers you can use a number line. Watch the following videos for a quick peekNumber Line: http://www.goalfinder.com/product.asp?productid=139<br />Addition : http://youtu.be/dI5P4MPYazE<br />Subtraction: http://youtu.be/VZh6p3kUdyA<br />
6. 6. Adding Negative Integers <br /><ul><li> Rule: The sum of two positive integers is a positive integer.</li></ul>Example 2: Find the sum of each pair of integers.<br />Do not confuse the sign of the integer with the operation being performed. Remember that: +29 + +16 = +45 is read as positive 29 plus positive 16 equals positive 45.<br />Rule: The sum of two negative integers is a negative integer.<br />Example 1: Find the sum of each pair<br />of integers. You complete 2 and 3.<br /> Do not confuse the sign of the integer with<br /> the operation being performed. Remember <br />that: -2 + -9 = -11 is read as negative 2 plus <br />negative 9 equals negative 11.<br /> Rules of Integer Addition<br />
7. 7. Your Turn<br /> Select the link below for a quick practice to challenge your skills of adding and subtracting Integers. You may use a separate sheet of paper to use a number line if desired.<br />http://amby.com/educate/math/integ_x1.html<br />Duncan-Carr (2001)<br />
8. 8. Try out a Game<br />Deep Sea DuelOkta challenges you to a duel! That crazy octopus wants to play you in a game where the first person to choose cards with a specified sum wins. You can choose how many cards, what types of numbers, and Okta's level of strategy. (NCTM 2011)<br />http://illuminations.nctm.org/ActivityDetail.aspx?ID=207<br />
9. 9. Integers with Two Color Counters<br />The link below will guide you through a short tutorial for using two color counters. It will also review how perform the method of using zero pairs.<br />http://youtu.be/jvWY3fC2e2M<br />
10. 10. Additional Practice<br />Integers & Operations with Integers http://www.ixl.com/math/grade-7<br />Math Drills – Integers http://www.math-drills.com/integers.shtml<br />Adding & Subtracting Integers http://www.teaching-tools.com/math-worksheets/integers-worksheets/index.php<br />
11. 11. Quiz Time<br />Click on the link for a short assessment to determine how you have mastered these<br />http://www.softschools.com/quizzes/math/adding_and_subtracting_integers/quiz1034.html<br />
12. 12. References<br />Duncan-Car, A. (2001). Integer Exercises with Signed Numbers. Retrieved July 29, 2011 from; http://amby.com/educate/math/integ_x1.html<br />Glosser, G. (1998). Math Goodies. Your Destination for Math Education. Hyco, Inc. Retrieved July 28, 2011 from, http://www.mathgoodies.com/lessons/vol5/intro_integers.html<br />Keeler, A. (2009) Adding and Subtracting Integer Numbers.Teachertube.com. Retrieved July 30, 2011 from: http://www.youtube.com/watch?v=jvWY3fC2e2M&NR=1<br />Miller, M. (2009). Subtracting integers video - three models to explain how subtraction of negative numbers works. Math Mammoth. Retrieved July 28, 2011 from, http://www.youtube.com/watch?v=Va_CiPK49vU<br />NCTM (2011). Deep Sea Dual. Illuminations, Resources for Teaching Math. Retrieved July 29, 2011 from; http://illuminations.nctm.org/ActivityDetail.aspx?ID=207<br />Unknown. (2010). Adding and Subtracting Integers. SoftSschhols. Retrieved from; http://www.softschools.com/quizzes/math/adding_and_subtracting_integers/quiz1034.html<br />Unknown. (2007). Integers on the Number Line, Math Software. Retrieved July 28, 2011 from , http://www.goalfinder.com/product.asp?productid=139<br />
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