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Integers
Definitions or Terms You Need to Know The number line goes on forever in both directions. This is indicated by arrows. Whole numbers greater than zero are called positive integers. These numbers are to the right of zero on the number line.  Whole numbers less than zero are called negative integers. These numbers are to the left of zero on the number line.  What I Know Mrs. Glosser's Math Goodies 1998.
The integer zero is neutral. It is neither positive nor negative.  The sign of an integer is either positive (+) or negative (-), except zero, which has no sign.  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)
The Integer Song http://www.youtube.com/watch?v=8eRQprqEGmk
Using a Number Line 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 Addition : http://youtu.be/dI5P4MPYazE Subtraction: http://youtu.be/VZh6p3kUdyA
Adding Negative Integers  ,[object Object],Example 2: Find the sum of each pair of integers. 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. Rule: The sum of two negative integers is a negative integer. Example 1: Find the sum of each pair of integers. You complete 2 and 3.  Do not confuse the sign of the integer with  the operation being performed. Remember  that: -2 + -9 = -11 is read as negative 2 plus  negative 9 equals negative 11.  Rules of Integer Addition
Your Turn    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. http://amby.com/educate/math/integ_x1.html Duncan-Carr (2001)
Try out a Game 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) http://illuminations.nctm.org/ActivityDetail.aspx?ID=207
Integers with Two Color Counters 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. http://youtu.be/jvWY3fC2e2M
Additional Practice Integers & Operations with Integers  http://www.ixl.com/math/grade-7 Math Drills – Integers  http://www.math-drills.com/integers.shtml Adding & Subtracting Integers http://www.teaching-tools.com/math-worksheets/integers-worksheets/index.php
Quiz Time Click on the link for a short assessment to determine how you have mastered these http://www.softschools.com/quizzes/math/adding_and_subtracting_integers/quiz1034.html
References Duncan-Car, A.  (2001). Integer Exercises with Signed Numbers. Retrieved July 29, 2011 from; http://amby.com/educate/math/integ_x1.html 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 Keeler, A. (2009) Adding and Subtracting Integer Numbers.Teachertube.com. Retrieved July 30, 2011 from:  http://www.youtube.com/watch?v=jvWY3fC2e2M&NR=1 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 NCTM (2011). Deep Sea Dual. Illuminations, Resources for Teaching Math. Retrieved July 29, 2011 from; http://illuminations.nctm.org/ActivityDetail.aspx?ID=207 Unknown. (2010). Adding and Subtracting Integers. SoftSschhols. Retrieved from; http://www.softschools.com/quizzes/math/adding_and_subtracting_integers/quiz1034.html Unknown. (2007). Integers on the Number Line, Math Software. Retrieved  July 28, 2011  from ,            http://www.goalfinder.com/product.asp?productid=139

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Integers

  • 2. Definitions or Terms You Need to Know The number line goes on forever in both directions. This is indicated by arrows. Whole numbers greater than zero are called positive integers. These numbers are to the right of zero on the number line. Whole numbers less than zero are called negative integers. These numbers are to the left of zero on the number line. What I Know Mrs. Glosser's Math Goodies 1998.
  • 3. The integer zero is neutral. It is neither positive nor negative. The sign of an integer is either positive (+) or negative (-), except zero, which has no sign. 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)
  • 4. The Integer Song http://www.youtube.com/watch?v=8eRQprqEGmk
  • 5. Using a Number Line 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 Addition : http://youtu.be/dI5P4MPYazE Subtraction: http://youtu.be/VZh6p3kUdyA
  • 6.
  • 7. Your Turn 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. http://amby.com/educate/math/integ_x1.html Duncan-Carr (2001)
  • 8. Try out a Game 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) http://illuminations.nctm.org/ActivityDetail.aspx?ID=207
  • 9. Integers with Two Color Counters 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. http://youtu.be/jvWY3fC2e2M
  • 10. Additional Practice Integers & Operations with Integers http://www.ixl.com/math/grade-7 Math Drills – Integers http://www.math-drills.com/integers.shtml Adding & Subtracting Integers http://www.teaching-tools.com/math-worksheets/integers-worksheets/index.php
  • 11. Quiz Time Click on the link for a short assessment to determine how you have mastered these http://www.softschools.com/quizzes/math/adding_and_subtracting_integers/quiz1034.html
  • 12. References Duncan-Car, A. (2001). Integer Exercises with Signed Numbers. Retrieved July 29, 2011 from; http://amby.com/educate/math/integ_x1.html 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 Keeler, A. (2009) Adding and Subtracting Integer Numbers.Teachertube.com. Retrieved July 30, 2011 from: http://www.youtube.com/watch?v=jvWY3fC2e2M&NR=1 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 NCTM (2011). Deep Sea Dual. Illuminations, Resources for Teaching Math. Retrieved July 29, 2011 from; http://illuminations.nctm.org/ActivityDetail.aspx?ID=207 Unknown. (2010). Adding and Subtracting Integers. SoftSschhols. Retrieved from; http://www.softschools.com/quizzes/math/adding_and_subtracting_integers/quiz1034.html Unknown. (2007). Integers on the Number Line, Math Software. Retrieved July 28, 2011 from , http://www.goalfinder.com/product.asp?productid=139

Editor's Notes

  1. http://algebra4children.com/addition_of_intergers.html