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Ever wondered how to teach dividing multi-digit whole numbers in an engaging way to your 5th-grade or 6th grade students? Or struggling to think about how to plan a lesson on long division of whole numbers?
In this lesson plan, students will learn about long division and how to divide whole numbers by whole numbers using artistic, interactive guided notes. Through a doodle & color by number activity, a maze worksheet, and real-life application practice, students will gain a comprehensive understanding of dividing whole numbers.
The lesson wraps with a real-life example that explores how dividing whole numbers is used in practical situations to solve problems and make calculations.
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After this lesson, students will be able to:
Divide multi-digit whole numbers by whole numbers using long division
Demonstrate an understanding of the steps involved in dividing numbers with up to four-digit dividends and two-digit divisors
Apply the concept of dividing whole numbers to real-life situations or problems
Before this lesson, students should be familiar with:
Knowledge of multiplication facts up to 12
Familiarity with place value up to the thousands
Ability to identify factors and multiples of numbers
Pencils
Colored pencils or markers
Dividing Whole Numbers by Whole Number Guided Notes w Doodles
Dividing Whole Numbers
Dividends
Divisors
Quotients
Long Division
As a hook, ask students why understanding how to divide whole numbers by whole numbers is important in real life situations. Refer to the last page of the guided notes as well as the FAQs below for ideas.
Use the first page of the guided notes to introduce the concept of dividing multi-digit whole numbers by whole numbers. Walk through the steps of long division including dividing, multiplying, subtracting, and bringing down. Students will fill in the blanks on the page as you explain. Emphasize the importance of following each step carefully to arrive at the correct quotient. Refer to the FAQ below for a walk through on this, as well as ideas on how to respond to common student questions.
Using the example provided (pg 1 of guided notes), model the steps of long division. Then have students try out the remaining examples on the page as a group. Based on student responses during the introduction, reteach any concepts that students may need extra help with. If there is a wide range of proficiency levels in the class, consider pulling out students for reteaching while more advanced students can begin working on the guided notes.
Have students practice dividing whole numbers by whole numbers using the practice coloring worksheet provided in the resource (pg. 2-4). The second page of the guided notes contains problem sets with spaces for students to divide and check their solution. The third page of the guided notes contains a maze activity. Walk around to answer student questions.
Fast finishers can dive into the color by number activity (pg. 4) for extra practice. You can also assign it as homework for the remainder of the class.
Using the last page of the guided notes, bring the class back together, and introduce the concept of using long division of whole numbers in real-life situations such as dividing a large number of items into smaller groups, allocating resources in a fair manner, or calculating how many days a certain amount of supplies will last. Refer to the FAQ for more ideas on how to teach it!
Students reflect on the real life applications of dividing whole numbers as well as complete a short self assessment on how confident they feel about this math topic.
If you’re looking for digital practice for dividing whole numbers by whole numbers, try my Pixel Art activities in Google Sheets. Every answer is automatically checked, and correct answers unlock parts of a mystery picture. It’s incredibly fun, and a powerful tool for differentiation.
Here’s 1 activity to explore:
A fun, no-prep way to practice dividing whole numbers is Doodle Math — they’re a fresh take on color by number or color by code. It includes multiple levels of practice, perfect for a review day or sub plan.
Here are 1 activity to try:
Long division is a method used to divide numbers that involve multiple digits. In dividing multi-digit whole numbers, long division helps break down the division process into smaller, more manageable steps.
Long division allows us to divide a larger number by a smaller number systematically.
It helps in finding the quotient and remainder when dividing numbers.
When dividing multi-digit whole numbers, ensure that each digit of the dividend is divided by the divisor starting from the left.
The first digit of the quotient corresponds to how many times the divisor can go into the first digit of the dividend.
Continue to the next digit of the dividend, bringing down each digit and determining the next digit of the quotient until the entire dividend is divided.
To ensure the accuracy of your division of multi-digit whole numbers, consider employing the following strategies:
Perform multiplication with the quotient and divisor to check if the product matches the dividend.
While dividing multi-digit whole numbers can be a complex process, some tips can make it more manageable:
Estimate the quotient before dividing to have a rough idea of the answer.
Break down the division into smaller steps by focusing on one digit at a time.
Engage 5th-grade students in learning division of multi-digit whole numbers by:
Incorporating visual aids like colorful guided notes, visual charts, or fun maze activities to demonstrate the division process.
Utilizing interactive games or activities related to long division to enhance student involvement and understanding.
If a student finds dividing multi-digit whole numbers challenging, consider:
Providing additional practice problems with varying levels of difficulty to reinforce the concept.
Offering one-on-one support or peer tutoring to address specific areas of difficulty.
Understanding how to divide multi-digit whole numbers is crucial for various real-life scenarios such as:
Splitting a sum of money among a group of people.
Measuring ingredients for a recipe to scale the portions accordingly.
To practice dividing multi-digit whole numbers further, consider utilizing online resources like:
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