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Multi-Digit Arithmetic: Division

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Multi-Digit Arithmetic Division introduces students to a new method for solving division problems. They will learn about the array method, or model area strategy. The lesson also includes a refresher on long division. Students will use both of these strategies throughout the lesson to demonstrate their skills and knowledge.

There are several alternatives or suggested additions in the “Options for Lesson” section. You may want to include them in your instruction. For instance, you could have students role play in partners as sage and scribe. One student would explain to the other how and why they solved a problem in their way using the two methods.

Description

What our Multi-Digit Arithmetic: Division lesson plan includes

Lesson Objectives and Overview: Multi-Digit Arithmetic Division teaches students how to divide numbers to find whole quotients. The dividends will be no longer than four digits. The divisors will only be one digit. Students will learn how to use two methods to solve the problems: long division and arrays. They will likely already know long division, but arrays may be completely new to them. By the end of the lesson, they should be able to solve division problems with ease using these methods. This lesson is for students in 3rd grade and 4th grade.

Classroom Procedure

Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the blue box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand.

Options for Lesson

Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. Some optional suggestions for this lesson include having your students use graph paper for arrays and colored markers or pencils to work on their problems. If you’d like to add another activity to this lesson, you can have your students participate in a sage and scribe exercise where each partner explains to the other how and why they solved a problem in their own way using the two methods covered in the lesson.

Teacher Notes

The teacher notes page includes lines that you can use to add your own notes as you’re preparing for this lesson.

MULTI-DIGIT ARITHMETIC DIVISION LESSON PLAN CONTENT PAGES

Multi-Digit Arithmetic: Division

The Multi-Digit Arithmetic: Division lesson plan includes four content pages. If your parents have ever told you to share, you’ve done division! Dividing is when you separate something into parts.

In a division equation, the first number is the dividend, the second number is the divisor, and the answer is the quotient. In the problem 18 ÷ 3 = 6, 18 is the dividend, 3 is the divisor, and 6 is the quotient.

You can write a division equation to show how many are in the group by creating an array. However, it can be difficult to draw an array if the numbers are too large. Instead, you can use an area model.

Let’s look at the problem 5237 ÷ 4. To start, you decompose the dividend by breaking it into thousands. Because the divisor is 4, you circle a group of 4 and bring the single leftover 1,000 into the hundreds. You then do the same with the hundreds, tens, and ones. There are 12 one hundreds which when put in groups of 4 does not have any left over. There are not enough tens to make a group so you move all of them over to the ones column. Finally, for the ones, there are 9 groups of 4 with 1 left over. The final answer is 1,309 remainder 1.

The lesson closes with another example problem, showing how to solve it using both an area model and long division.

MULTI-DIGIT ARITHMETIC DIVISION LESSON PLAN WORKSHEETS

The Multi-Digit Arithmetic: Division lesson plan includes four worksheets: an activity worksheet, a practice worksheet, a homework assignment, and a quiz. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.

DIVISION DICE GAME ACTIVITY

Students will really have fun with this activity. They will get together with partners or groups up to four people and play a game. The lesson lists a few of the materials they need and explains the instructions. Students will draw a card with a number on it. They will collect the number of counters that matches the number on the card. Then they will roll a dice to figure out how many rows they have to divide their counters into. That will create the division problem they have to figure out.

AREA MODEL PRACTICE WORKSHEET

The practice worksheet requires students to use the model area strategy (array) to divide problems. There are only two problems on the worksheet. Each problem has a table of four columns and rows beneath it. Students will use these columns to create their area models.

MULTI-DIGIT ARITHMETIC – DIVISION HOMEWORK ASSIGNMENT

For the homework assignment, students will use either a model area strategy or long division to divide numbers. There are six total problems for them to solve. They can use an extra sheet of paper if they need to to show their work.

QUIZ

This lesson also includes a quiz that you can use to test students’ understanding of the lesson material. For the quiz, students will solve a problem using an area model and long division.

Worksheet Answer Keys

This lesson plan includes answer keys for the practice worksheet, the homework assignment, and the quiz. If you choose to administer the lesson pages to your students via PDF, you will need to save a new file that omits these pages. Otherwise, you can simply print out the applicable pages and keep these as reference for yourself when grading assignments.

Additional information

grade-level

3rd Grade, 4th Grade

subject

Math

State Educational Standards

LB.Math.Content.4.NBT.B.6

Lessons are aligned to meet the education objectives and goals of most states. For more information on your state objectives, contact your local Board of Education or Department of Education in your state.

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