11/29/2023 0 Comments Area models for division![]() ![]() You can guess and check, but let’s start with ‘5’ since it’s right in the middle of ‘0’ and ‘9’. Multiply 14 times a number smaller than 10 to get around 112. ![]() Subtracting workspace _ )2912 - 2800 112 200 x 2800 14ġ2 Divide the difference by the divisor (cont.).Ģ,912 ÷ 14 Divide the difference by the divisor (cont.). Multiples Work space 14 x 10 = 140 14 x 100 = 1400 14 x 200 = 2800 Put this number in the area mode. You’ll have to multiply 14 times a number smaller than 10. Determine ‘How many 14’s can you get out of 112.’ Looking at your multiples workspace, you see that 14 x 10 = 140 is more than 112. Subtracting workspace _ )2912 - 2800 112 200 x 2800 14ġ1 Divide the difference by the divisor (cont.).Ģ,912 ÷ 14 Divide the difference by the divisor (cont.). Your subtraction showed that the difference, 112, can still be divided by 14. Start a workspace subtracting the number in the rectangle from the dividend, Multiples Work space 14 x 10 = 140 14 x 100 = 1400 14 x 200 = 2800 Put this number in the area mode. 200 x 2800 14 This part of the area model shows that 14 times 200 is 2800, the base ten number close to 2900.ĩ Keep a subtracting record of the dividing.Ģ,912 ÷ 14 Keep a subtracting record of the dividing. Multiples Work space 14 x 10 = 140 14 x 100 = 1400 14 x 200 = 2800 Put this number in the area model. x 2800 14Ģ,912 ÷ 14 Write the 200 from your multiplying work space on the line above the 2800. Multiples Work space 14 x 10 = 140 14 x 100 = 1400 14 x 200 = 2800 Put this product in the area model. 2800Ģ,912 ÷ 14 Next write the divisor,14, on the left side, and put a times sign right above it. Multiples Work space 14 x 10 = 140 14 x 100 = 1400 14 x 200 = 2800 Put this number in the area model.Ħ 2,912 ÷ 14 Draw a rectangle, and write the 2800 from your work space inside the rectangle. Start a work space to multiply the divisor, 14, by multiples of base ten until a product is close to 2900, the number we will start dividing. Use the base 10 number, 2900, to start dividing.Ģ,912 ÷ 14 Get ready to set up the area model. The divisor, 14, can be divided into the first two digits of the dividend, 29, since you can get groups of 14 out of 29. ![]() This lesson will show you how to use the area model strategy, also called the array, to solve long division.Ĥ Getting ready to divide using an area modelĢ,912 ÷ 14 Getting ready to divide using an area model dividend divisor 2,912 ÷ 14 Look at the division problem. It can leave you confused, dazed and wanting to give up and walk away. ![]() I hope you find this presentation useful and that you will let me know what you think.ģ 2,912 ÷ 14 Long division can be an evil little guy if you don’t understand him. Feel free to modify to your liking and situation. As you know, there are numerous styles of an area model however, what’s most important is that students are able to demonstrate comprehension of division using strategies. In this PowerPoint, I’m demonstrating an example of division using an area model. 1 Kicking Long Division Problems Using an Area ModelĢ,912 ÷ 14 Kicking Long Division Problems Using an Area ModelĢ Hi, Thanks for downloading. ![]()
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