4th Grade Math 4.8, Divide Using Partial Quotients

We can use partial quotients to divide by 1-digit divisor. We can choose multiples of the divisor to find partial quotients. We subtract the partial quotients from the dividend. Add the partial quotients to get the quotient. A multiple is a product of a number and a counting number. We can use rectangular models to show the multiples, partial quotients, and to better understand what is happening as we divide. We look for the greatest multiple of the divisor, that is less than the dividend, that we can multiply easily. If we use greater multiples, we will use less subtraction and less addition. The amount of times we subtract will be the amount of partial quotients we will need to add. And we may prefer to subtract the divisor times 10 several times, then add more partial quotients, to fully understand what we are doing. We may prefer to subtract greater multiples of 10 to go faster by doing less subtraction and addition. Either way, we need to make sure we subtract correctly. There's usually more than one way to solve a problem, but some ways are more efficient. We see how we write the quotient above the dividend for vertical division. We see what happens when we increase the dividend by an amount less than the divisor and how it will give us a remainder. We see what happens when we increase the dividend by the amount of the divisor, which makes our quotient increase. We find the least number that we can divide by a divisor to get a 3-digit quotient. We solve a word problem involving a table of information and dividing using partial quotients.

4th Grade Math 4.1, Estimate Quotients Using Multiples https://youtu.be/ZL-MVcGnw_c

4th Grade Math 4.2, Remainders, When Whole Numbers Don't Divide Evenly https://youtu.be/u5B-f6-UM8I

4th Grade Math 4.3, Interpret the Remainder in Division Problems https://youtu.be/IHUHDogMx90

4th Grade Math 4.4, Divide Tens, Hundreds, and Thousands by 1-digit Using Basic Facts https://youtu.be/4YRHJNUkLYQ

4th Grade Math 4.5, Estimate Quotients Using Compatible Numbers https://youtu.be/qYx0K9Jf3wY

4th Grade Math 4.6, Division and the Distributive Property https://youtu.be/_7SxWUS7f7c

4th Grade Math 4.7, Divide Using Repeated Subtraction https://youtu.be/zJNYb5hb5QE

4th Grade Math Playlist (2015) https://www.youtube.com/playlist?list=PLKi4WTp6PRGX7RhcxctRibNb7V091JZfn

I'm using the Houghton Mifflin Go Math! 2015 copyright textbook for this playlist.

You can practice online using the textbook's website https://www.gomathacademy.com/

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