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# Writing: Showing our Understanding of Entry Points & Place Value in Dividing

Lesson 18 of 21

## Objective: SWBAT find whole number quotients and explain the role of place value in dividing.

## Big Idea: This lesson gets students to write using proper division vocabulary, explaining how they use place value to determine what quotients they choose as they divide using rectangular sections.

*55 minutes*

Logic Factor Puzzles Lite is a great free ap that gets students to think by using a chart for comparison thinking ( introductions to proportionate thinking) and factor relationships. This supports 4.OA.A.1 of multiplicative comparisons, but intertwines factor pairs supporting 4.OA.B.1

I decided to try them out on this ap to see how well they are using their inverse relationship and factoring skills. I let them help each other. Stronger students supported lower level students by showing them how to move the squares to solve the puzzles. I noticed them using factor pair charts that are posted in my classroom.

The second puzzle in the ap starts them thinking about proportions. This is a little more challenging. When it was time to stop, no one wanted to!

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Materials: Writing Worksheets

2 digit Explaining Division Using Place Value Understanding

3 digit Explaining Division Using Place Value Understanding

4 Digit Explaining Division Using Place Value Understanding

I prepared this lesson by thinking about what I had seen from my students as they had worked to learn how to divide 2,3,& 4 digit problems. I differentiated by ability and gave them the appropriate worksheet that fit their level of work at this point.

I opened the lesson today using this SB file, Writing Well About Division Using Place Value Understanding. I adjusted the last page so that there is a place for you to do a teacher write and think a loud.

Class Thoughts and Notes is a copy of the notes we took during the lesson so you can see how it unfolded in my class. We listed vocabulary words and brainstormed ideas in preparation for writing. *My SB was giving me problems and I had to move to the white board and do my writing on the white board. *As we try to master the division standard and learn to fluently divide, writing is a great way to support it. We are applying Math Practice standards throughout this lesson. I model ( MP 4) through the use of structure, vocabulary that I think should be used and let them see and hear my thinking as I wrote my sample on the white board. Explaining vocabulary is important, in my opinion, to start the process of writing about problem solving.

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#### Resources

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As I progressed, the next step was to solve a problem and talk about the meaning of entry points. Students chimed in as they helped me talk through the problem. We went step by step to solve and I wrote on the white board. My writing used the vocabulary on our list. I went back to the first page and modeled how I check to see if I had used the vocabulary well and that I was clear about what I was saying. This modeling helps my students understand exactly what is expected and alleviates some anxiety as they learn to write about their thinking.

I passed out papers discreetly to my students so that they didn't see that they were in different groups. I read directions out loud explaining that some may have different numbers for their digits. I encouraged them to think of this assignment as a quiz, so I expected them to plan what they would say on a separate sheet or an iPad. They needed to solve the problem first and then write.

I met with students as they wrote. As I worked with this young man, I wanted him to notice how important using the right vocabulary is to clarity and accuracy.Checking the vocabulary...using the right words. Throughout this process MP7 is being practiced because students are dissecting their division problem to explain and also practicing MP 6 & 8 as they attend to precision and look to express reasoning. I saw excellent progress this time in mastery of being able to explain process. 25 minutes was just enough time for all to finish, but not edit. I collected them for their portfolios and to quickly assess their work. Later, we will bring it out again to revise and edit.

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- UNIT 1: Place Value and Multi-Digit Addition & Subtraction
- UNIT 2: Metric Measurement
- UNIT 3: Graphing and Data
- UNIT 4: Concepts of Multiplication
- UNIT 5: Geometry
- UNIT 6: Fractions 1: Understanding Equivalence in Fractions and Decimals
- UNIT 7: Fractions 2: Addition and Subtraction Concepts/ Mini unit
- UNIT 8: Fractions 3 Mini Unit: Multiplying Fractions by Whole Numbers
- UNIT 9: Division Unit
- UNIT 10: Addition and Subtraction: Algorithms to One Million
- UNIT 11: Place Value
- UNIT 12: Addition and Subtraction Word Problems
- UNIT 13: Multiplication Unit

- LESSON 1: Divison Pretest
- LESSON 2: Ants, Ants, Ants! Using discovery to understand the meaning of division.
- LESSON 3: An Intro to the Box Method: A Conceptual Approach to 2 digit by 1 digit division
- LESSON 4: A Remainder of One: Practicing Box Method
- LESSON 5: Multiply or Divide? Exploring Word Problems that Compare.
- LESSON 6: Developing Our Division Skills
- LESSON 7: Two Games for Practicing Fluency & Dividing 3 -4 Digit Dividends Against 1 Digit Divisors
- LESSON 8: Oranges,Social Studies, Sister Anne and Studying the Whole: An integrated lesson
- LESSON 9: Talk the Talk of Division: Recognizing "Division" Words in One Step Word Problems
- LESSON 10: The Sieve of Eratosthenes: Prime Numbers, Multiples & Inverse
- LESSON 11: Understanding Division Through Bubble Wrap
- LESSON 12: Division: Quiz 1: Assessing division of 2,3, &4 digit by one digit divisors
- LESSON 13: Supporting Their Writing in Math: Class Collaboration and the Google Doc
- LESSON 14: In a Heartbeat! Connecting Informational Text to Multistep Word Problems
- LESSON 15: Assessing Understanding of Division Word Problems
- LESSON 16: Game Day! Review Day!
- LESSON 17: Bowling for fluency: A game for number sense, fluency and equation development.
- LESSON 18: Writing: Showing our Understanding of Entry Points & Place Value in Dividing
- LESSON 19: Division: Getting Ready to Test
- LESSON 20: Dear Mrs. Kanthack: A letter from students about mastering Division Standards
- LESSON 21: Assessing Division