Divide and Conquer: Mastering Long Division

Mathematics Grades 5th Grade 10:01 Video
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Lesson Description

Learn the step-by-step process of long division with single-digit divisors, including vocabulary like dividend, divisor, and quotient, through engaging examples and practice problems.

Video Resource

How to do Long Division (Step by Step) | 1-Digit Divisors

Math with Mr. J

Duration: 10:01
Watch on YouTube

Key Concepts

  • Dividend (the number being divided)
  • Divisor (the number you are dividing by)
  • Quotient (the answer to a division problem)
  • Remainder (the amount left over after dividing)

Learning Objectives

  • Students will be able to correctly perform long division with single-digit divisors.
  • Students will be able to identify the dividend, divisor, quotient, and remainder in a division problem.
  • Students will be able to interpret remainders.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing basic division concepts and vocabulary (dividend, divisor, quotient). Ask students what they already know about long division. Briefly introduce the 'Divide, Multiply, Subtract, Bring Down, Repeat' process.
  • Video Viewing (15 mins)
    Play the 'How to do Long Division (Step by Step) | 1-Digit Divisors' video by Math with Mr. J. Encourage students to follow along and take notes on the steps.
  • Guided Practice (20 mins)
    Work through several long division problems together as a class, following the steps outlined in the video. Emphasize the importance of keeping digits aligned. Start with simpler problems and gradually increase the difficulty. Include examples with and without remainders.
  • Independent Practice (15 mins)
    Provide students with a worksheet of long division problems to solve independently. Circulate to offer assistance and answer questions.
  • Wrap-up and Assessment (5 mins)
    Review key concepts and vocabulary. Collect the independent practice worksheets for assessment.

Interactive Exercises

  • Long Division Relay Race
    Divide the class into teams. Each team member solves one step of a long division problem on the board, then passes the marker to the next team member. The first team to correctly solve the problem wins.
  • Error Analysis
    Present students with long division problems that have been solved incorrectly. Have students identify the errors and explain how to correct them.

Discussion Questions

  • Why is it important to keep your numbers lined up when doing long division?
  • What does the remainder mean in a long division problem?

Skills Developed

  • Long division
  • Problem-solving
  • Attention to detail
  • Place value understanding

Multiple Choice Questions

Question 1:

In a division problem, the number being divided is called the what?

Correct Answer: Dividend

Question 2:

What is the answer to a division problem called?

Correct Answer: Quotient

Question 3:

What does the 'D' stand for in the 'Divide, Multiply, Subtract, Bring Down, Repeat' method?

Correct Answer: Divide

Question 4:

When you can't divide the first digit of the dividend by the divisor, what do you do?

Correct Answer: Look at the first two digits of the dividend

Question 5:

What do you do after you subtract in long division?

Correct Answer: Bring Down

Question 6:

What is the divisor in the problem 45 ÷ 5?

Correct Answer: 5

Question 7:

What is the quotient in the problem 24 ÷ 3?

Correct Answer: 8

Question 8:

If you have something 'left over' after dividing, it is called a what?

Correct Answer: Remainder

Question 9:

Which of these is the first step in long division?

Correct Answer: Divide

Question 10:

Why is it important to keep your numbers lined up when doing long division?

Correct Answer: It helps with place value and accuracy

Fill in the Blank Questions

Question 1:

The number you are dividing by is called the ________.

Correct Answer: divisor

Question 2:

The answer to a division problem is called the ________.

Correct Answer: quotient

Question 3:

The 'D' in 'Divide, Multiply, Subtract, Bring Down, Repeat' stands for ________.

Correct Answer: divide

Question 4:

If you can't divide the first number, look at the first _____ digits.

Correct Answer: two

Question 5:

After you subtract, you ________ down the next number.

Correct Answer: bring

Question 6:

The number being divided is called the ________.

Correct Answer: dividend

Question 7:

If there is an amount left over, it is called a ________.

Correct Answer: remainder

Question 8:

You ________ the divisor and the quotient to get a product.

Correct Answer: multiply

Question 9:

The last step in long division is to _______ the steps if needed.

Correct Answer: repeat

Question 10:

When doing long division, you should keep the numbers _______ to help you stay organized.

Correct Answer: lined

Educational Standards

5.N.2:Divide multi-digit numbers and solve real-world and mathematical problems using arithmetic. 5.N.2.2:Divide multi-digit numbers, by one- and two-digit divisors, based on knowledge of place value, including but not limited to standard algorithms. 5.N.2.3:Recognize that remainders can be represented in a variety of ways, including a whole number, fraction, or decimal. Determine the most meaningful form of a remainder based on the context of the problem.

Teaching Materials

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