| 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 | Add, subtract, multiply, divide decimals |
| What length (min) | 30 |
| What age group | Year or Grade 4 |
| 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 |
Add, Subtract, Multiply, Divide Decimals
Year/Grade 4 (9-10 years old)
Mathematics
20 Students
This lesson aligns with the Common Core Standards for Math, specifically focusing on the operations with decimals.
| Step Number | Step Title | Length (minutes) | Details |
|---|---|---|---|
| 1 | Introduction | 5 | Briefly introduce decimals and their importance. Discuss common examples. |
| 2 | Explanation of Operations | 10 | Explain how to add, subtract, multiply, and divide decimals using examples on the board. |
| 3 | Printable Cards Activity | 5 | Distribute printable cards. Students will practice operations on their cards. |
| 4 | Guided Practice | 5 | Work through a series of problems together, asking for volunteers to share their answers. |
| 5 | Random Checking | 3 | Collect or randomly check the cards to give feedback on student understanding. |
| 6 | Independent Practice | 5 | hand out worksheets for students to independently practice additional problems. |
| 7 | Assign Homework | 2 | Explain the homework assignment and clarify any questions. |
"Good morning, class! Today, we're going to dive into the world of decimals. Can anyone tell me what a decimal is? (Pause for responses) That's right! Decimals are parts of a whole, and they are really important in our everyday lives. We use them when we deal with money, measurements, and even temperatures. Can anyone think of some examples where we use decimals? (Pause for responses) Great! Let’s explore how to perform operations with decimals: adding, subtracting, multiplying, and dividing."
"Okay, let’s start with adding decimals. First, we want to line up the numbers by their decimal points. For example, if I want to add 2.75 and 1.3, I would write it like this:
2.75
+ 1.30
-------Now, let’s add them. What do you think the answer will be? (Pause for responses) That’s correct, it’s 4.05!
Now, let's move on to subtraction. Similar to addition, we need to line up the decimal points. For instance, if we subtract 3.5 from 5.8, it looks like this:
5.80
- 3.50
-------The answer is 2.30.
Next, let’s talk about multiplication. Remember, you can multiply decimals just like whole numbers, but after multiplying, we need to count how many decimal places are in the numbers we multiplied to place the decimal in our answer correctly.
For example, multiplying 0.4 and 0.25:
0.4
× 0.25
-------What do you think we should do after multiplying? (Pause for responses) Yes, we count the decimal places!
Finally, division works similarly. If we divide 6.4 by 2, it looks like this:
6.4 ÷ 2
-------What is our answer? (Pause for responses) Exactly, it’s 3.2.
So, to summarize: when adding and subtracting, we line up the decimal points; when multiplying, we count decimal places; and division involves placing the decimal point in our quotient correctly. Any questions so far?"
"Now that we understand how to perform these operations, I have some printable cards for you. Each card has a different decimal operation. I'm going to hand these out, and I want you to work on the operations presented on your cards. You will have 5 minutes to complete them. Ready? Let’s get started!"
"Now, let’s come back together and practice a few problems as a class. I will write some problems on the board, and I would like some volunteers to come up and solve them.
Here’s our first problem: Add 0.65 and 1.5. Who would like to try? (Wait for a student to come up) Great job!
Now let’s try subtracting 2.1 from 5.3. Who wants to give it a shot? (Encourage participation) Very well done!
Keep raising your hands if you want to answer more problems."
"Okay, everyone, I’m going to check on your cards that you worked on. Please pass them to the front or put them in the basket quietly. I will look through them and give you feedback individually. Keep in mind, this feedback will help us understand where we all are with our decimal skills."
"Now that we have practiced together, it’s time for you to do some work on your own. I have printed worksheets that contain additional practice problems focusing on adding, subtracting, multiplying, and dividing decimals. Please take one, and when you’re done with it, I want you to raise your hand so I can check your work. You have 5 minutes to complete as much as you can!"
"Great job today, everyone! For homework, I would like you to complete the assigned problems in your math booklet that focus on today’s lesson. If you have any questions about the homework, please feel free to ask me before you leave."
"To wrap up our lesson, let’s quickly recap what we learned today about decimals. We covered how to add, subtract, multiply, and divide decimal numbers. Could anyone share one thing they learned or a challenge they faced during the lesson? (Pause for responses) Thank you all for your participation! I’m very proud of the effort you all put in today with decimals. Remember, practice is key, so keep reviewing these skills at home!"
What is a decimal? Provide an everyday example where you might encounter decimals in real life.
Solve the following addition problem: 3.25 + 4.7. Show your work.
Subtract the following: 6.8 - 2.45. What is the answer?
Multiply these two decimals: 0.6 × 0.5. How do you determine where to place the decimal in your answer?
Divide: 7.2 ÷ 3. What is the result?
Explain why it is necessary to line up decimal points when adding or subtracting decimals.
Create your own example of a decimal multiplication problem and solve it. Make sure to show your work!
Review the problems you completed in class today. Choose two problems you found challenging and explain why you found them difficult.
How many decimal places are there in the product of 0.3 and 0.4? Perform the multiplication and place the decimal correctly.
Reflect on today’s lesson: What do you feel you understand well, and what do you think you need more practice on?
| Question | Answer |
|---|---|
| What is a decimal? | |
| Can you provide an example of where we use decimals in everyday life? | |
| How do we add decimals? | |
| What is the result of adding 2.75 and 1.3? | |
| How do we subtract decimals? | |
| What is the result of subtracting 3.5 from 5.8? | |
| How do we multiply decimals? | |
| What should we do after multiplying decimals regarding decimal points? | |
| What is the result of multiplying 0.4 and 0.25? | |
| How do we divide decimals? | |
| What is the result of dividing 6.4 by 2? | |
| What must we remember when adding and subtracting decimals? | |
| Why is counting decimal places important in multiplication? | |
| What did we do during the printable cards activity? | |
| How did we practice problems as a class? | |
| What should you do with your cards after the activity? | |
| What do the printed worksheets focus on? | |
| What is your homework for today? | |
| What did we recap at the end of the lesson? | |
| Can you share one challenge you faced during the lesson? |