The document defines integers as numbers on the number line that include whole numbers and their opposites. Positive integers are whole numbers to the right of zero, while negative integers are whole numbers to the left of zero. Zero is neither positive nor negative. The sum of two positives or two negatives is either positive or negative, respectively. The document provides examples and links to interactive games and practice problems for adding, subtracting, and understanding integers on a number line.
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)
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
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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