Integers
Definitions or Terms You Need to KnowThe 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 KnowMrs. 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 Songhttp://www.youtube.com/watch?v=8eRQprqEGmk
Using a Number LineWhen 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=139Addition : http://youtu.be/dI5P4MPYazESubtraction: http://youtu.be/VZh6p3kUdyA
Adding Negative Integers   Rule: The sum of two positive integers is a positive integer.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 pairof 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.htmlDuncan-Carr (2001)
Try out a GameDeep 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 CountersThe 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 PracticeIntegers & Operations with Integers  http://www.ixl.com/math/grade-7Math Drills – Integers  http://www.math-drills.com/integers.shtmlAdding & Subtracting Integers http://www.teaching-tools.com/math-worksheets/integers-worksheets/index.php
Quiz TimeClick on the link for a short assessment to determine how you have mastered thesehttp://www.softschools.com/quizzes/math/adding_and_subtracting_integers/quiz1034.html
ReferencesDuncan-Car, A.  (2001). Integer Exercises with Signed Numbers. Retrieved July 29, 2011 from; http://amby.com/educate/math/integ_x1.htmlGlosser, G. (1998). Math Goodies. Your Destination for Math Education. Hyco, Inc. Retrieved  July 28, 2011 from, http://www.mathgoodies.com/lessons/vol5/intro_integers.htmlKeeler, A. (2009) Adding and Subtracting Integer Numbers.Teachertube.com. Retrieved July 30, 2011 from:  http://www.youtube.com/watch?v=jvWY3fC2e2M&NR=1Miller, 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_CiPK49vUNCTM (2011). Deep Sea Dual. Illuminations, Resources for Teaching Math. Retrieved July 29, 2011 from; http://illuminations.nctm.org/ActivityDetail.aspx?ID=207Unknown. (2010). Adding and Subtracting Integers. SoftSschhols. Retrieved from; http://www.softschools.com/quizzes/math/adding_and_subtracting_integers/quiz1034.htmlUnknown. (2007). Integers on the Number Line, Math Software. Retrieved  July 28, 2011  from ,            http://www.goalfinder.com/product.asp?productid=139

Integers

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    Definitions or TermsYou Need to KnowThe 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 KnowMrs. Glosser's Math Goodies 1998.
  • 3.
    The integer zerois 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)
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  • 5.
    Using a NumberLineWhen 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=139Addition : http://youtu.be/dI5P4MPYazESubtraction: http://youtu.be/VZh6p3kUdyA
  • 6.
    Adding Negative Integers Rule: The sum of two positive integers is a positive integer.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 pairof 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
  • 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.htmlDuncan-Carr (2001)
  • 8.
    Try out aGameDeep 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 TwoColor CountersThe 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 PracticeIntegers &Operations with Integers http://www.ixl.com/math/grade-7Math Drills – Integers http://www.math-drills.com/integers.shtmlAdding & Subtracting Integers http://www.teaching-tools.com/math-worksheets/integers-worksheets/index.php
  • 11.
    Quiz TimeClick onthe link for a short assessment to determine how you have mastered thesehttp://www.softschools.com/quizzes/math/adding_and_subtracting_integers/quiz1034.html
  • 12.
    ReferencesDuncan-Car, A. (2001). Integer Exercises with Signed Numbers. Retrieved July 29, 2011 from; http://amby.com/educate/math/integ_x1.htmlGlosser, G. (1998). Math Goodies. Your Destination for Math Education. Hyco, Inc. Retrieved July 28, 2011 from, http://www.mathgoodies.com/lessons/vol5/intro_integers.htmlKeeler, A. (2009) Adding and Subtracting Integer Numbers.Teachertube.com. Retrieved July 30, 2011 from: http://www.youtube.com/watch?v=jvWY3fC2e2M&NR=1Miller, 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_CiPK49vUNCTM (2011). Deep Sea Dual. Illuminations, Resources for Teaching Math. Retrieved July 29, 2011 from; http://illuminations.nctm.org/ActivityDetail.aspx?ID=207Unknown. (2010). Adding and Subtracting Integers. SoftSschhols. Retrieved from; http://www.softschools.com/quizzes/math/adding_and_subtracting_integers/quiz1034.htmlUnknown. (2007). Integers on the Number Line, Math Software. Retrieved July 28, 2011 from , http://www.goalfinder.com/product.asp?productid=139

Editor's Notes

  • #3 http://algebra4children.com/addition_of_intergers.html