9/26/2023 0 Comments Area models for divisionThe number being divided here is the dividend. In the area model with division, we perform division by splitting it into small rectangular sections. When we divide a number, it does not always divide completely. Now, we will see how to solve division problems with remainders using the area model. This was how to solve division with an area model when there is no remainder. Then, we will write the product of 4 × 9, i.e., 32.We will get 36 when we subtract 120 from 156. We will move 156 to the next box/rectangle.We will get 156 by subtracting 4800 from 4956. First, we will write the product of 4 × 1200.We will start with the dividend, i.e., 4956.So, the length of the rectangle is 25 + 10 + 3 units = 38 cm. As a result, the last section or rectangle will have a breadth of 15 units and a length of 3 cm. The rectangle will have a 15 cm breadth (as before). Since 15 x 3 = 45, the new rectangle will have a length of 3 cm. Step 3: We will get the next section of the area 45 cm. The rest of the rectangle is 45 cm (195 cm – 150 cm = 45 cm). On solving, the area of this section of the rectangle is 150 cm. Since 15 x 10 = 150, the new rectangle will have a length of 10 cm. Step 2: Now, we have the next section of the area of 195 cm. The rest of the rectangle is 195 cm (570 cm – 375 cm = 195 cm). On solving, the area of this section of the rectangle is 375 cm. It has a length of 25 units as a starting point. Step 1: Consider a large rectangle with a breadth of 15 cm. Things will get more clear on solving practically. To get the missing length, we will add all lengths together. Then, we will measure the length of each smaller rectangle again and again. Here, we will divide the rectangle into smaller rectangles. Now, we have to find the missing dimension of the rectangle with an area of 570 cm sq., having one side of 15 cm. Here, 570 cm is the area of the entire rectangle. Similarly, we will now take a division problem. In other words, we can geometrically represent the product as –ġ2 × 8 is the area of a rectangle with a length of 12 units and a breadth of 8 units. We can find its area by multiplying 12 by 8. So, consider a rectangle with a length of 12 units. We can calculate the area of a rectangle using the formula (l × b). ![]() The area of a rectangle or any shape is the amount of space. Here is an explanation for solving the area model with division. How to Solve Problems of Division With Area Model? Now, let us see how to solve division problems with the area model. Only the way of finding the solution will be different. While solving examples, students can solve them differently. This will, in turn, enhance their performance. It will help to enhance their understanding of the model. If the teacher encourages, students should try solving the division problem differently.In this model, students can double-check their solutions.(The rectangles can be assumed as symbols of an actual box or a rectangular object.) We use and represent sections or boxes for the area division model. It is to create as many equal sections as possible. The students can easily correlate division to taking away from what we have.It disregards their knowledge of multiplication. ![]() For this, we should use this method in an open-ended way. ![]() The Area Model with division provides entry points for every student to start solving large division problems.Here are some merits of division with the area model. Merits of Using the Area Model (Rectangular Model) for Division Now, let us have a look at the merits of using the area model with division.
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