Adding and Subtracting basic Integers

Adding and Subtracting Basic Integers in ElementaryGrade 3

GCUTEC 539 Digital Media in EducationOrange GroupTammy ButlerJaime CookTom SorensonFlorence TownsendJim Conner

The layout3rd grade Arizona State Standards3.OA.83.MP.1, 3.MP.2, 3.MP.4, 3.MP.53.NBT.2

Part 1: The IntroPart 2: Do it togetherPart 3: Bringing it back

Question of the Day: How can you use integers and number lines to solve equations?Part 1:The Intro

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.

Using a number lineTo 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.

Number linesUsing 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 awayX 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.

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.com/index.php?image=adding-integers.g66474 (Hit play to watch)Moving closer to zeroWhen 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.

Part 2:Do it together

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?

7738743932,503

Work it out

773 803 823 829

- 6-20- 30

1,1251,025900925875874

-100-100-25-25-1

73+2093+100+100+100193293393

2,332+1002,432+702,502+12,503

Part 3:Bringing it Back

What do you know about integers?Integers are whole numbersThey can be positive or negative numbersIntegers can be used on a number lineAdding moves the sum away from zeroSubtracting moves the difference closer to zeroIntegers are not fractions or decimals

Fun with IntegersCan you figure out their mistakes?

http://teachertube.com/viewVideo.php?title=Abbot_and_Costello_Maths_Problem&video_id=3963

More Fun With IntegersListen to Mr. Dueys rap about integers!

Integer videos http://www.youtube.com/watch?v=BswlX1dXL_s&playnext=1&list=PLAC4797FE2212E3F9

http://www.youtube.com/watch?v=2d5rWT6bHLU

Finally!Can you answer the Question of the day?

Question of the Day: How can you use integers and number lines to solve equations?

ReferencesMr. Duey (n.d.). Mr. Duey/Learning Through Rap . Mr. Duey|Learning Through Rap. Retrieved July 11, 2011, from http://mrduey.com/ThinkCentral. (n.d.). ThinkCentral. Retrieved July 4, 2011, from http://thinkcentral.comYourteachermathhelp. (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=PLAC4797FE2212E3F9

Image Source Page: http://media.photobucket.com/image/number%20lines/sharl0ck/Numberline.jpg?t=1270573504 Image Source Page: http://tunza.mobi/articles/numbers/Image Source Page: http://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/

IntegersMr. DueyClass Dis-missed, track 1/17, disc 1/12008Children's Music167688.55eng - Amazon.com Song ID: 205042434