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Adding and Subtracting Basic Integers in Elementary Grade 3 GCU TEC 539 Digital Media in Education Orange Group Tammy Butler Jaime Cook Tom Sorenson Florence Townsend Jim Conner

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The layout 3 rd grade Arizona State Standards 3.OA.8 3.MP.1, 3.MP.2, 3.MP.4, 3.MP.5 3.NBT.2 Part 1: The Intro Part 2: Do it together Part 3: Bringing it back Question of the Day: How can you use integers and number lines to solve equations?

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Part 1: The Intro

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What is an integer? Integers are any whole number named on a number line. (0,1,2,3). They also include numbers that are less than zero called Negative numbers which look like; -1, -2, -3. Integers do not include fractions or decimals. Negative numbers are numbers that we will discuss at another time but are important to acknowledge.

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Using a number line To help understand integers we have used a variety of tools in the past, counting cubes, fingers, dots cards, hundred charts and number lines. Today we will use the number line to help solve our equations.

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Number lines Using a number line helps show how positive and negative integers interact in order to solve an equation. For example: the equation 465- 33= x 465 is where we would start on the number line -33 is the integer we are taking away X is the integer we are solving for Seeing this equation on a number line helps us to understand that by taking away 33, the difference is closer to the 0 point on the number line.

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So what does that all mean? http://www.slimber.com/index. php?image=integers- subtraction.g66435 (Hit play to watch) When subtracting positive integers on a number line, we move from the larger number (minuend) and count back the number given (subtrahend) to arrive at the difference. Here is an example using subtraction an open number line. When adding positive integers on a number line, we move from one number (addend) and count forward the other number given (addend) to arrive at the sum. Here is an example using addition an open number line. http://www.slimber.co m/index.php?image=ad ding-integers.g66474 http://www.slimber.co m/index.php?image=ad ding-integers.g66474 (Hit play to watch)

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Moving closer to zero When we subtract positive integers from one another we are moving closer to zero on the number line. Think of using a thermometer to find the temperature: As the weather gets cooler the reading on the thermometer becomes lower, closer to zero. As it gets warmer the reading moves up, away from zero. Just like integers on a number line.

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Part 2: Do it together

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Try these. Create an open number line to solve the following equations: a. 829 - 56= ____ b. 1,125 - 251= ____ c. 73 + 320= _____ d. 2,332 + 171= _____ How did you do? a.773 b.874 c.393 d.2,503

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Work it out 773 803 823 829 - 6 -20 - 30 1,1251,025 900 925 875 874 -100 -25 73 +20 93 +100 193 293 393 2,332 +100 2,432 +70 2,502 +1 2,503

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Part 3: Bringing it Back

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What do you know about integers? Integers are whole numbers They can be positive or negative numbers Integers can be used on a number line Adding moves the sum away from zero Subtracting moves the difference closer to zero Integers are not fractions or decimals

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Fun with Integers Can you figure out their mistakes? http://teachertube.c om/viewVideo.php?t itle=Abbot_and_Cost ello_Maths_Problem &video_id=3963

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More Fun With Integers Listen to Mr. Dueys rap about integers! Integer videos http://www.youtube.com/watch?v=B swlX1dXL_s&playnext=1&list=PLAC47 97FE2212E3F9 http://www.youtube.com/watch?v=B swlX1dXL_s&playnext=1&list=PLAC47 97FE2212E3F9 http://www.youtube.com/watch?v=2 d5rWT6bHLU

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Finally! Can you answer the Question of the day? Question of the Day: How can you use integers and number lines to solve equations?

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References Mr. Duey (n.d.). Mr. Duey/ Learning Through Rap. Mr. Duey| Learning Through Rap. Retrieved July 11, 2011, from http://mrduey.com/http://mrduey.com/ ThinkCentral. (n.d.). ThinkCentral. Retrieved July 4, 2011, from http://thinkcentral.com Yourteachermathhelp. (n.d.). YouTube- Integer Song (Willard/Berkeley). YouTube - Broadcast Yourself.. Retrieved July 9, 2011, from http://www.youtube.com/watch?v=BswlX1dXL_s&playnext=1&list=PLAC479 7FE2212E3F9 http://www.youtube.com/watch?v=BswlX1dXL_s&playnext=1&list=PLAC479 Image Source Page: http://media.photobucket.com/image/number%20lines/sharl0ck/Numberline.jpg?t=1 270573504 http://media.photobucket.com/image/number%20lines/sharl0ck/Numberline.jpg?t=1 270573504 Image Source Page: http://tunza.mobi/articles/numbers/http://tunza.mobi/articles/numbers/ Image Source Page: http://www.qualityclassrooms.com/math/measuring/integer- number-line-ruler.htmlhttp://www.qualityclassrooms.com/math/measuring/integer- number-line-ruler.html Image Source Page: http://ipcblog.org/2010/08/17/hot-summer-days-and- medications-a-recipe-for-heat-stroke/http://ipcblog.org/2010/08/17/hot-summer-days-and- medications-a-recipe-for-heat-stroke/