| Full lesson | Create for a teacher a set of content for giving a lesson, beginning with the lesson plan. Each new block of materials must begin with an H1 heading (other subheaders must be H2, H3, etc). When you describe required pictures, write those descriptions in curly brackets, for example: {A picture of a triangle} |
| Which subject | Mathematics |
| What topic | Long division |
| What length (min) | 30 |
| What age group | Year or Grade 5 |
| Class size | 20 |
| What curriculum | |
| Include full script | |
| Check previous homework | |
| Ask some students to presents their homework | |
| Add a physical break | |
| Add group activities | |
| Include homework | |
| Show correct answers | |
| Prepare slide templates | |
| Number of slides | 5 |
| Create fill-in cards for students | |
| Create creative backup tasks for unexpected moments |
Long Division
Grade 5
Mathematics
20 students
This lesson aligns with the Common Core State Standards for Mathematics (CCSS.MATH.CONTENT.5.NBT.B.6), where students are expected to divide whole numbers and interpret the quotient in context.
| Step Number | Step Title | Length (minutes) | Details |
|---|---|---|---|
| 1 | Introduction | 5 | Introduce long division and its importance. Engage students with a quick discussion on division and its applications in real life. |
| 2 | Homework Review | 5 | Check the previous homework by going over the answers as a class. Use a homework check-in sheet without asking students to present their work. |
| 3 | Direct Instruction | 10 | Demonstrate long division on the whiteboard using a sample problem. Explain each step in detail: divide, multiply, subtract, and bring down. |
| 4 | Guided Practice | 5 | Provide a long division problem for students to solve in pairs. Walk around to assist and assess understanding. |
| 5 | Independent Practice | 3 | Hand out additional long division problems for students to complete individually. Encourage them to check their work with partners. |
| 6 | Homework Assignment | 2 | Assign long division homework for the next class. Explain expectations and the importance of practicing at home. |
| 7 | Closure | 2 | Summarize key points of long division. Open floor for any questions or clarifications needed before concluding the lesson. |
"Good morning, class! Today, we are going to delve into an important topic in mathematics: long division. To start off, who can tell me what division is? Quite right! Division is about sharing or splitting something into equal parts. But why is it important? Can anyone think of a real-world situation where we might use division?"
Pause for responses.
"Excellent examples! Long division helps us divide larger numbers that we can't handle easily with simple division. By the end of today’s lesson, you’ll be confident in performing long division with single-digit divisors!"
"Now, let’s quickly review our homework from last night. We won’t be taking turns presenting, so I’d like everyone to pull out your homework check-in sheets."
Distribute homework check-in sheets.
"I'm going to go over the answers. Please follow along and check your own work. If you have any errors, take a moment to correct them as we go."
Go through the answers, ensuring clarity and checking for understanding.
"Great job on the homework, everyone! Now, let’s dive into long division. I’ll demonstrate this step-by-step on the whiteboard."
Begin writing a sample problem on the board.
"Let's take 144 divided by 12. The first step is to divide. We look at the first digit of 144. How many times does 12 go into 1? That’s right, it doesn’t! So, we consider the first two digits: 14."
"Next, how many times does 12 fit into 14? Yes, just once! So, we write 1 above the line."
Continue explaining as you write.
"Now we’ll multiply 1 by 12. What do we get? Exactly! 12. We write this below 14, and now we’ll subtract. What is 14 minus 12? Yes, 2! We bring down the next digit, which is 4, making it 24."
"Finally, how many times does 12 go into 24? Yes! It goes in 2 times. We write that above the line. We then multiply and subtract again, arriving at a remainder of 0."
"So, 144 divided by 12 is 12. Does everyone understand each step?"
Allow for a couple of questions before moving on.
"Now, it’s your turn to practice, but we will do this together in pairs. I’m going to give you a long division problem to solve alongside a partner."
Distribute the long division problem.
"Work together to solve 96 divided by 8. Remember to follow the steps we just discussed: divide, multiply, subtract, and bring down. I will be walking around to assist you and check your understanding."
Circulate around the room, offering help as needed.
"Fantastic teamwork, everyone! Now for some individual practice. I’m handing out some long division problems for you to work through on your own."
Distribute additional long division problems.
"Remember, you can check your work with a partner once you finish. I want you to be sure that your answers are correct before you submit them."
Give students a few minutes to work.
"For homework tonight, I’m assigning you some long division problems. Make sure to practice what we've learned today. The more you practice, the better you’ll get!"
Explain the homework expectations clearly.
"I want each of you to attempt every problem and check your answers with a partner. We'll start the next class by reviewing some of the tricky ones together."
"Excellent work today, class! To summarize, we learned how to perform long division, focusing on the steps of dividing, multiplying, subtracting, and bringing down our numbers."
"Does anyone have any questions or need any clarifications on anything we covered today? If you need more assistance, please don’t hesitate to ask me after class."
Pause for any final questions.
"Thank you for your hard work today! I’ll see you all next time!"
What is the first step in long division? Describe the process of this step using your own words.
Solve the following long division problem: 256 divided by 16. Show each step clearly (divide, multiply, subtract, and bring down).
Explain why it is sometimes necessary to bring down the next digit in a long division problem. Provide an example.
During today's lesson, we learned that 144 divided by 12 equals 12. Verify this by multiplying your answer by the divisor. What do you find?
Work through this long division problem: 375 divided by 15. List out each step and include your calculations.
Create a word problem that requires the use of long division to solve. Write the problem and then provide your solution using long division.
Check your understanding by completing the following: 490 divided by 7. Show your work and explain each step as you go.
Why is long division a useful skill in real-world applications? Provide at least two scenarios where it might come in handy.
If you were to explain the long division process to a friend who missed today’s lesson, what key points would you include?
For additional practice, solve 1024 divided by 32. Submit your answer along with all intermediate steps you took to arrive at your final result.