Divide Multi-Digit Numbers

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With our Divide Multi-Digit Numbers lesson plan, students learn how to divide multi-digit numbers. Students complete numerous practice problems as a part of this lesson to reinforce their understanding of the lesson material.

Included with this lesson are some adjustments or additions that you can make if you’d like, found in the “Options for Lesson” section of the Classroom Procedure page. If you have more advanced students, one of the optional additions to this lesson is to have them use 3- and 4-digit divisors with larger numbers for a challenge.

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Description

What our Divide Multi-Digit Numbers lesson plan includes

Lesson Objectives and Overview: Divide Multi-Digit Numbers teaches students strategies for dividing multi-digit numbers. At the end of the lesson, students will be able to fluently divide multi-digit numbers using the standard algorithm. This lesson is for students in 6th 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 orange 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. For an additional activity, you can have your students roll dice to determine a number and then divide. If you have more advanced students, you can have them use 3- and 4-digit divisors with larger numbers for a challenge. You could have students write their answers with remainders as fractions and decimals. For students who need extra help, you can review the standard algorithm with single digits. Finally, for the practice and homework pages, you can have your students write quotients with remainders or remainders as decimals.

Teacher Notes

The teacher notes page includes a paragraph with additional guidelines and things to think about as you begin to plan your lesson. This page also includes lines that you can use to add your own notes as you’re preparing for this lesson.

DIVIDE MULTI-DIGIT NUMBERS LESSON PLAN CONTENT PAGES

Divide Multi-Digit Numbers

The Divide Multi-Digit Numbers lesson plan includes five content pages. Algorithms are processes or sets of steps that we use to solve mathematical problems. We can apply the standard division algorithm to dividing multi-digit numbers. The lesson walks through a few example problems that illustrate each step. The first example problem is 5130/15.

The first step is division. For this problem, we need to ask how many times 15 will go into 5. 15 can’t go into 5, so we need to include the second number and ask how many times 15 will go into 51. 15 goes into 51 three times, so we write a 3 over the 1 in 51.

The second step is multiplication. We multiply the 3 on top by 15 and place the product, 45, below 51. The third step is subtraction. We subtract 45 from 51 to get 6. The fourth step is to bring the next number, 3, down into the dividend, placing it next to the 6. Finally, you repeat each step for the rest of the digits! This problem does not have a remainder, which makes it especially easy! The final answer is 342.

Problems with Remainders

The lesson then shows an example that has a remainder: 1972/12. We follow the same steps as above and end up with a remainder of 4. There are two ways that we can write the answer when we have a remainder. First, we can add a decimal and a zero, dividing until the decimal terminates or repeats in a pattern. When we use this method, the answer is 164.333 Second, we can write the remainder as a fraction. To do this, we put the remainder in the numerator and the divisor in the denominator. For this example, we place 4 in the numerator and 12 in the denominator: 4/12. We can reduce this fraction down to 1/3. Using this method, we write the answer as 164 1/3.

You can use this process to solve problems with as many digits as you want. You just have to follow the four steps: 1. Divide; 2. Multiply; 3. Subtract; and 4. Bring down.

DIVIDE MULTI-DIGIT NUMBERS LESSON PLAN WORKSHEETS

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

RELAY RACE ACTIVITY WORKSHEET

Students will work in small groups for the activity. Each group will work to solve a problem—the fastest team wins!

QUOTIENTS PRACTICE WORKSHEET

For the practice worksheet, students will find the quotients for 12 equations, writing their answers with a fraction remainder.

DIVIDE MULTI-DIGIT NUMBERS HOMEWORK ASSIGNMENT

Like the practice worksheet, for the homework assignment students will find the quotients for 12 equations, writing their answers with a fraction remainder.

Worksheet Answer Keys

This lesson plan includes answer keys for the practice worksheet and the homework assignment. 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

6th Grade

subject

Math

State Educational Standards

LB.Math.Content.6.NS.B.2