| 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
Year 5 (Grade 5)
Mathematics
20
30 minutes
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Introduction to Long Division | 5 min | Introduce the concept of long division. Discuss why we use it and show a simple example on the whiteboard. Explain each part of the process. |
| 2 | Demonstration | 10 min | Demonstrate a long division problem on the board while explaining each step in detail (dividend, divisor, quotient, and remainder). Ask students for input. |
| 3 | Hands-on Activity | 7 min | Distribute printable long division cards to each student. Have them follow along as the teacher solves problems, filling in their cards with their own examples. |
| 4 | Practice Problems | 5 min | Assign students a few long division problems to solve independently on their worksheets. Circulate the room to offer help as needed. |
| 5 | Check for Understanding | 2 min | Randomly collect or check the long division cards filled out by students to assess understanding. Provide immediate feedback on any missteps without using oral presentations. |
| 6 | Homework Assignment | 1 min | Assign homework related to the lesson learned today. Ensure that students understand the instructions and what is expected of them. |
This lesson plan aligns with the Common Core State Standards for Mathematics, specifically:
Summarize the day’s learning, reiterating the importance of long division in mathematics and encourage students to practice at home for mastery.
"Good morning, everyone! Today we are going to dive into an exciting topic: long division. This concept is really important because it helps us solve more complex division problems that we can’t handle with simple division. We use long division whenever we need to divide larger numbers.
Let’s start by looking at a simple example. If I have the number 12 and I want to divide it by 3, I can write that down as 12 divided by 3. But what if I want to divide 456 by 3? That's where long division comes in! We’re going to learn how to break it down step by step.
Can anyone tell me what we call the number we’re dividing? Yes, that’s right! The number we are dividing is called the dividend. And the number we are dividing by is called the divisor. By the end of this lesson, you’ll be able to find the quotient and possibly the remainder as well!"
"Now, let’s demonstrate how to actually perform long division. I’m going to solve the problem 456 divided by 3 on the board.
[Begin writing on the whiteboard.]
First, we look at the first digit of the dividend, which is 4. How many times does 3 go into 4? Yes, it goes once. So we write 1 above the 4. Now, we multiply 1 by 3, which gives us 3. We write 3 underneath the 4, and subtract.
What do we have left? Correct, we have 1. We then bring down the next digit, which is 5. Now we have 15.
How many times does 3 go into 15? That's right, it goes 5 times! I write the 5 above the line. I multiply 5 by 3, which gives me 15, and I write that below to subtract. What do we have left now?
Finally, we bring down the 6 and we want to know how many times 3 goes into 6. Exactly, 2 times!
So the final answer is 152 with no remainder. Can anyone tell me what we just found? That's right—a quotient! Excellent job!
Does anyone have any questions about what we've just done?"
"Okay, now it's your turn! I’m going to give each of you a printable long division card. You’ll see a few long division problems that we will work on together. As I go through some problems on the board, I want you to fill in your own cards with examples based on what I did.
Take a moment to look at your card and get started. I’ll walk around to see how you’re doing. Remember, you can raise your hand if you need help!"
[Distribute long division cards while circulating.]
"Now that you've practiced with your cards, let’s move on to some problems on your worksheets. I want you to try solving these long division problems independently. Don’t forget to show your work!
I’ll be walking around to listen in and offer help if you're struggling. Take your time, and remember the steps we practiced!"
"Time’s up! Let’s check for understanding. I’m going to randomly collect your long division cards and take a look at how you filled them out.
As I go through your cards, I’ll give you immediate feedback. If I see something that could improve, we can double-check the steps together without needing a full share-out. Great effort everyone!"
"Before we wrap up, I have some homework for you. Tonight, I would like you to complete the long division problems that I've provided on the homework sheets.
Make sure to read the instructions carefully! If you have any questions tonight, feel free to ask me tomorrow.
Remember, practicing these skills makes you even better at math!"
"Alright! What a great lesson we had today! We learned what long division is, practiced on cards, worked on worksheets, and you all did fantastic.
Remember, understanding long division is very important in mathematics, and practicing at home will help you master these concepts. Keep up the great work, and I can't wait to see how you do on your homework. Have a wonderful day!"
What is the term used for the number that is being divided in a long division problem?
What do we call the number we are dividing by?
In the long division problem of 456 divided by 3, what digit do you write above the 4, and why?
When performing 456 divided by 3, after subtracting 3 from 4, what do you have left? What is the next step?
How many times does 3 go into 15 during the long division process?
What is the final quotient in the example of 456 divided by 3? Did you have any remainder?
Why is it important to show your work when doing long division problems?
Create your own long division problem using a 3-digit dividend and a 1-digit divisor. Solve the problem and show your work.
Explain how you would approach a long division problem that seems complicated. What steps would you take to make it easier?
How does practicing long division at home contribute to mastering the concept?
| Question | Answer |
|---|---|
| What is the number we are dividing called? | |
| What do we call the number we are dividing by? | |
| How do you perform long division with the example 456 divided by 3? | |
| What is the first step in the long division process? | |
| What do you do after subtracting the product from the dividend? | |
| How would you find the quotient in a long division problem? | |
| What does "bring down" mean in long division? | |
| Can long division result in a remainder? | |
| Why is it important to show your work in long division? | |
| What kind of homework problems did we assign related to long division? |