Area models for division8/23/2023 Students need to have a solid understanding of place value to be able to use the area model for division. How to Teach Area Model Division (4th Grade) Review Place Value In the end, to find out what the quotient is, we’ll simply add up the smaller boxes. More specifically, by applying this model, we break the rectangle into smaller boxes with the help of number bonds to make the division easier. You can start your lesson by explaining that the area model division is simply a model that looks like a rectangular diagram that we use in mathematics to divide numbers. So if you’re wondering how to teach area model division to your 4th-grade students, we’ve complied several tips that will get you through! What Is Area Model Division (4th Grade)? Luckily, there’s the area model division (4th grade) to the rescue! Also referred to as the Box Method, this is a great method for children to become fluent in long division. 1 plus 3 is 4.Learning long-division can be challenging for fourth graders. And so we added it allįinding the combined area- the area of this plus theĪrea of that the area. The 6, we carried this 1 into the hundreds place. Multiplied the 2 times the 16, we just calculated Just doing that we justĬalculated that right over there. But notice we're really thinkingĪbout 20 times 60 is 120. So we're used to carrying theĢ down here and carrying the 1. So if you multiply 2 timesĪnd carry the 1. Said, oh, you know, I just throw a 0 down there. Into the tens place you've probably always So 7 times the 10 or theħ0, plus 7 times 6, the 42. So 112, what you justįigured out right over here, is this area Right over here. Sum of both of these things, because you're multiplying 7 The 7 times the 1, you really multiplyingĬarry it when you add this carried 4, and But right when youĭid that 7 times 6, we essentially calculated The 4 in the tens place because it's a 40. With the 7 in the ones place and you do 7 times 6 is 42. Hey, Sal, why did we go through all of this business? I've seen before Did I add that up right? Let's see, this will be 11. Tens is 9 tens, plus 4 tens, is 13 tens, which is the same Let's see, in the ones place, you get a 2. Going to be 200 plus 120 plus 70 plus 42. So what's the area of thisĮntire thing going to be? Well, it's going to be theĢ00 plus the 120 plus- let me do it this way- it's So it's going to be 7 timesĦ or 42 square units of area. And then finally, what's theĪrea of this little section right over here? It's 7 high and it's 6 wide. This purple, and I'll thrown some blue in there, too. Section right over here? Well, it's 7 high Now what's 20 times 6? Well 2 times 6 is 12, In there from the 20 to make it clear that this Not the color I wanted to use- let me use In your head 20 times 10 is just going to be. You could think of as 2 timesġ, and you have two 0's there. So we could figure out theĪreas of each of these sections, and then the area ofīe this product, is going to be the area of all Up by parts, because it'll be easier to compute, and weĬan see what part of the area those differentĬan think about what 10- so let me separate Is going to be 16 times 27, the area of thisĮntire rectangle. Right over here- and then the height of my rectangle, The product 16 times 27, what gives you the area ofĪ 16 by 27 rectangle. Point right over here, this line right over The 2 in the 10s place is representing 20. Which I want to do in that green color, the sixth, I've gone 10 slashes, or I'm representing 10 What's going on in the multiplication process.
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