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Elmer Explains Arrays & Area. The “doggie version” of mathematics. By: Ian Wright & Elmer Pug. Woo Hoo! I love math!! (and treats!). A little about Me…. Well hello there. My name is Elmer Ping Pong Wright Lyon and I am going to explain two math words to you today in my own doggie way.

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## Elmer Explains Arrays & Area

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**Elmer Explains Arrays & Area**The “doggie version” of mathematics. By: Ian Wright & Elmer Pug Woo Hoo! I love math!! (and treats!)**A little about Me…**Well hello there.My name is Elmer Ping Pong Wright Lyon and I am going to explain two math words to you today in my own doggie way.**Let’s start out with some facts you already know…**When we multiply, this means a number is added to itself a number of times. For example: 3 x 4 = 12 + + =12**Zzzz…**Elmer looks sleepy… Elmer!You’re falling asleep on the job!**Oops! Sorry folks, back to business!**On to the fun stuff! Let’s learn a new math word, but this time we will use yummy treats instead of boring dots so I don’t fall asleep! Our new word is… array.**An array is a set of objects or numbers arranged in order,**often in rows and columns. Here is an array for the number 6: This array is called1 by 6 Can you guess why it has this name before I eat these delicious bacon heart treats?**and 6 columns**There is 1 row Therefore this array is 1 by 6or 1 row by 6 columns. Mmm… an array of bacon treats.**What would you call this array?**A delicious snack?**and 1 column**This array is 6 by1 because… There are 6 rows 6 rows by 1 column Hey! Doesn’t 6 x 1 = 6?**Elmer is right!**• 6 x 1= 6 • 1 by 6AND6 by 1are BOTHarrays for the number 6 • Elmer gets a treatand if you got the right answer too, pat yourself on the back**Let’s think of another array we can make with the**number6… ?**First, let’s think about what numbers we multiply to get**6… 1 x 6 = 6 6 x 1 = 6 2 x 3 = 6 3 x 2 = 6 Is that it?**Yes! So let’s try another array of 6.**How would you draw 2 by 3 or 3 by 2?**Here is my doggie version of 2 by 3**and 3 columns There are 2 rows I still have 6 total heart bacon treats.**Hooray forarray!**Are you ready to help Elmer with some bigger arrays? HERE IS HOW YOU CAN HELP ELMER: How many arrays of 12are there? Draw them out and label them on your piece of scratch paper.**These are my gingerbread man treats. Did I put them in the**correct arrays? 1 by 12 Is there 1 row and 12 columns? 12 by 1 Are there 12 rows and 1 column?**Elmer is correct! Hooray! But there are 4 more arrays of**12.Elmer, keep going! 1 by 12 Is there 1 row and 12 columns? 12 by 1 Are there 12 rows and 1 column?**What do you think about these arrays Elmer created?**2 by 6 Are there 2 rows and 6 columns? 6 by 2 Are there 6 rows and 2 columns?**Hooray! Elmer knows arrays! Do you?**2 by 6 Are there 2 rows and 6 columns? 6 by 2 Are there 6 rows and 2 columns?**Last, but not least, check Elmer’s work…**3 by 4 Are there 3 rows and 4 columns? 4 by 3 Are there 4 rows and 3 columns?**Elmer ROCKS! He got all arrays of 12 correct!**3 by 4 Are there 3 rows and 4 columns? 4 by 3 Are there 4 rows and 3 columns?**I am SO doggone smart!**Now that you know array, Area will be a piece of cake. Our new word is… area.**Area is the size a surface takes up**The area for parallelograms, such as rectangles and squares, is length x height: clue:This array is called 1 by 6. Can you guess the area of this array before I eat these delicious bacon heart treats?**Length (l) = 6**Height (h) = 1 Therefore the area of these treats is 6 x 1 = 6 square units. That is l x h. An area of bacon treats. Delicious!**I have SO many treats I don’t have time to eat all of them**right now! Help me figure out the area of the dirt I need to dig up in the backyard in order to bury all of my treats. tip:Area is made up of square units.**Length (l) = 6**Height (h) = 3 Array = 3 by 6 Area = 18 square units Now we both know area and array! HOORAY!**I am SO happy that we could learn about arrays and area**together! Just for Fun… *Watch Elmer do a few of the tricks he already knew… Woof! Woof! Woof! Woof!TheEnd! Woof! Woof! Woof! Woof!**TEKS used in digital book**4th Grade Math: (4.4) Number, operation, and quantitative reasoning. The student multiplies and divides to solve meaningful problems involving whole numbers. (A) Model factors and products using arrays and area models; (B) Represent multiplication and division situations in picture, word, and number form; (C) Recall and apply multiplication facts 12 x 12; (D) Use multiplication to solve problems (no more than two digits times two digits without technology) *I did not have students use division as of yet, but could switch up later in the year to include division.

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