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Get Full AccessDivision Using an Area Model
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What you will learn from this videoWhat you will learn
 We'll learn how to do division with an area model.
 We'll also see that this strategy can help us divide 2, 3 and 4 digit numbers more efficiently!
 And we'll see that division using an area model can help us count fossils, plan a pizza party, and help our community.

Discussion Questions
Before Video
How would you describe what it means to divide?ANSWERTo separate into equal groups; to share in a fair way, so everybody gets the same amount.
There are 30 French fries. Since I have 4 friends with me, each of us gets 6 fries.
To get close to 90, I could multiply 6 x 10 = 60. That leaves 30. Combining that 30 with the 6 from the ones column, I get 36, so now I want to get close to 36. I can multiply 6 x 6 = 36. The total, 10 + 6 = 16, is the answer.
Since 12×5=60, that means 12×50=600.
To find the answers to multiplication problems; to find the area of a rectangle.
After Video
When you have a division problem, like 320 ÷ 5, how do you know what the width of the area model will be?ANSWERThe width is the dividend, 5.
Start with the first place value. 300 ÷ 5 = 60. Then divide 20 ÷ 5 = 4, so the answer is 60+4=64.
It’s mostly the same. The only change is that at the end, you divide 24 ÷ 5, so there is a remainder of 4.
Make a rectangle with a width of 6. Have three sections with areas 200, 20, and 6. Start in the first section. To get close to 200, 6×30=180. Combine the leftover 20 with the 20 already in the second section. To get close to 40, 6×6=36. Combine the leftover 4 with the 3 already in the third section. 6 goes into that section once, with a remainder of 1. The answer is 30+6+1 and the remainder, or 37 r 1.
The rectangle still has a width of 6, but now the sections have areas 2000, 200, and 30. Start in the first section. To get close to 2,000, 6×300=1,800. Combine the leftover 200 with the 200 already in the second section. Then, 6×60=360. Combine the leftover 40 with the 30 in the third section. Since 6×11=66, there is a remainder of 4. You don’t really need a fourth section with the 4 in it. The answer is 300+60+11=371 with a remainder of 4, or 371 r 4.

Vocabulary
 Division DEFINE
The process of partitioning into equal groups.
 Quotient DEFINE
The result of division.
 Dividend DEFINE
The amount being divided.
 Divisor DEFINE
The number the dividend is being divided by.
 Multiplication DEFINE
Repeated addition of equal groups.
 Inverse Operation DEFINE
An operation that reverses the result of another operation. Multiplication and division are inverse operations.
 Expanded form of a number DEFINE
Write a number as a sum of the value of each digit. 234 in expanded form is 200 + 30 + 4
 Area Model DEFINE
A rectangle divided into sections to organize your calculations.
 Division DEFINE

Reading Material

Practice Word Problems

Practice Number Problems

Lesson Plan

Teacher Guide