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Division 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
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- Practice Number Problems
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