Lesson plan
Solving Long Division Problems
Learning Objectives
Students will be able to use long division.
Introduction
(10 minutes)
- Invite the students to bring their math journals and a pencil to the class meeting area.
- Tell them to place their supplies on the floor next to them.
- Tell the students that today they're going to learn a strategy for solving long division problems. Write the word Division on the board.
- Let the students know that division is an operation that tells us the number of groups that can be made out of another number.
- On the board, set up a division problem, such as 17/5. Solve the problem so that you are left with the answer 3 with a remainder of 2. Label each number with its corresponding name. 17 should be the dividend, 5 is the divisor, 3 is the quotient and 2 is the remainder.
- Define these terms for your students as follows:
- Dividend: In a division problem, the number that is to be divided is called the dividend.
- Divisor: In a division problem, the number that divides the dividend is called the divisor.
- Quotient: Upon division, the number obtained other than the remainder is called the quotient.
- Remainder: The remainder is the number that is left over after dividing.
Explicit Instruction/Teacher modeling
(10 minutes)- Direct the students’ attention to the board.
- Write a division problem, such as 83 divided by 7, on the board.
- Tell the students that the first thing we want to do is create a help box to help us in solving this division problem.
- Create a chart that lists the products of 7x1, 7x2...7x10.
- Demonstrate solving this problem for students. You should reach the answer 11 with a remainder of 6.
Guided Practice
(20 minutes)- Put another problem on the board similar to the one just completed.
- Tell the student to pick up their supplies and write the problem down.
- Ask for volunteers to raise their hands and share with the class the steps needed to complete this problem based on the problem just completed.
- Give the students time to solve the problems.
- Ask the students to dictate to you how they solved the problem. Write their responses on the board.
- Review the problem with the class to check for accuracy. Make sure everyone has the problem written down as a reference for completing their assignment during independent work time.
Independent working time
(30 minutes)- Send the students back to their seats.
- Pass out the Solving Long Division Problems worksheet.
- Walk around the room to assist students as needed.
Differentiation
- Enrichment: Give advanced students more difficult long division problems to solve.
- Support: Observe and monitor struggling students more closely. Get involved in helping the students solve the problems.
Assessment
(10 minutes)- Check the worksheet for correctness and to decide who may need extra small group practice.
Review and closing
(10 minutes)- Bring the students back to the class meeting area.
- Ask for volunteers to share their answers and work for the problems assigned.
- As the problems are reviewed in front of the class, the students will check their answers for accuracy.
- After each problem has been checked for accuracy, ask the class if there are any questions or comments about long division.
Related Guided Lesson
Based on your interest in Solving Long Division Problems.
Related learning resources
Solving Long Division Problems
Lesson plan
Solving Long Division Problems
Help your students put their best foot forward when it comes to this lesson that allows them to solve problems both in a group setting and individually.
3rd grade
Math
Lesson plan
Word Problems: Division
Worksheet
Word Problems: Division
Use this worksheet to practice long division with one-digit divisors.
3rd grade
Math
Worksheet
Multiplication & Division Partner Word Problems
Worksheet
Multiplication & Division Partner Word Problems
Give your students a chance to practice multiplication and division word problems with a partner. Use this worksheet with the Stepping Through Multiplication & Division Word Problems lesson.
3rd grade
Math
Worksheet
Stepping Through Multiplication and Division Word Problems
Lesson plan
Stepping Through Multiplication and Division Word Problems
Teach your students four simple steps to help them solve multiplication and division word problems with confidence.
3rd grade
Math
Lesson plan
