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CCSS.MATH.CONTENT.5.NBT.B.6
This is a 5th Grade standard:

Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

The above standard relates to the learning of the partial sums method because it will help students Understand the place value of their answer, and also because it allows the student to work through tough problems with the four-digit dividends and two-digit divisors.

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CCSS.MATH.CONTENT.4.NBT.B.6
This is a 4th grade common core standard:

Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

The above standard relates to the learning of partial sum division because the partial sums method is a strategy that students can use to solve division problems and it mainly based on place value. In the video that compares the standard algorithm to the partial sums method I explain how the partial sums method allows students to see the place values in thier answer

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Partial Sums Division Compared to the Standard Algorithm

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Partial Sums Division Compared to the Standard Algorithm

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this video will show you how the Partial Sums Division method is compared to the Standard Algorithm that most adults learned in school

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Other Names You May Hear for Partial Sums Division

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Other Names You May Hear for Partial Sums Division

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Partial Quotients
Scaffolding Method
Chunking  Method

The above names are all the same name for Partial Sums Division

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Partial Sums (Partial Quotient Division)

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Partial Sums (Partial Quotient Division)

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The image below shows the different terminology you may hear or see in this padlet