## Long division notes.docx - Section 3: Practice dividing without remainders

*Long division notes.docx*

# Division of multi-digit numbers

Lesson 5 of 26

## Objective: SWBAT divide multi-digit numbers using the standard algorithm.

#### DO NOW

*10 min*

I’m using a worksheet that has the students preparing for division. This worksheet has the students looking at numbers and deciding how many times it will take to get to that number without going over. This skill is needed for division. Students should work on this independently and then share answers with a partner. When sharing, students should share their thinking and not just the answer.

#### Resources

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I chose this video because it does a nice job showing students how division works. The video is short and walks them through the standard algorithm. During this video, I want students watching but not taking any notes. Then when the video is over, I’m going to have the students write out how to divide in their own words

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I chose 3 application division problems. For each problem I want the students to read the problem, find the word that means divide, write the expression and then divide to find the solution and write out the answer. **(SMP 1, 2, and 4)**

It’s important for the students to begin recognizing and picking apart the problems to decide what action is taking place. Also, students need to be able to pull the information from the problem and write the expression to see how the division should go. Each of these problems will result in no remainder. I do want the students to write out what the answer means to make the connection back to the problem **(SMP 6)**

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This video is from the same resource, but shows dividing with remainders and what the remainder means. Many times students are asked a “how many do you need” question with division and they neglect to interpret the remainder correctly.

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I chose 3 application problems for the students to work on. Each problem has a remainder that they will need to interpret. I want students to circle the word/words that indicate a division problem, write the expression, find the solution and explain what they solution means **(SMP 1,2,4,6)**

Each problem has them interpreting the remainder. I’m looking for students to be saying “ there would be 36 millimeters in each glass with 15 millimeters left over”.

Watch as students set up their expression. Many times the math is correct, but the expression is written wrong. Part of being precise about math **(SMP6)** is making sure that the expression matches our work. As students are thinking about writing the expression, remind them to think about what they are dividing by. When we are dividing by a number, that becomes our divisor. Where is the divisor placed?

#### Resources

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#### Closure

*10 min*

Today the students have been learning to divide and interpreting remainders. I found a problem in **illustrative mathematics** that shows a division problem and the students need to explain where the products came from. I choose this problem because it is a good way to see if students really understand what is happening in a long division problem. The students will need to write out where they see each product and how they know. There are 3 products for them to find and define.

Collect this as evidence of student learning.

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- LESSON 1: Divisibility Rules
- LESSON 2: Finding the Greatest Common Factor
- LESSON 3: Distributive Property
- LESSON 4: What's really going on with division?
- LESSON 5: Division of multi-digit numbers
- LESSON 6: Checking your quotient
- LESSON 7: Finding the Least Common Multiple (LCM)
- LESSON 8: LCM stations activity
- LESSON 9: Finding Equivalent Fractions
- LESSON 10: Benchmark Fractions and more
- LESSON 11: Adding and Subtracting with Fractions
- LESSON 12: Multiplying with Fractions
- LESSON 13: Dividing Fractions
- LESSON 14: Dividing Fractions - Stations
- LESSON 15: Dividing Fractions within word problems
- LESSON 16: Review & Assessment 6.NS.A.1 and 6.NS.B.4
- LESSON 17: Dealing with Decimal Models
- LESSON 18: Reading and Writing with decimals
- LESSON 19: Dewey Decimal system for ordering decimals
- LESSON 20: Adding and Subtracting with decimals
- LESSON 21: Multiplying Decimals by Whole Numbers
- LESSON 22: Multiplying Decimals by Decimals
- LESSON 23: Dividing Decimals by Whole Numbers
- LESSON 24: Dividing Decimals by Decimals
- LESSON 25: Prepping for the Exam!
- LESSON 26: Final Assessment 6.NS.1, 6.NS.2, 6.NS.3, 6.NS.4