| 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 | multiplying decimals |
| 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 |
Multiplying Decimals
Year 5 (Grade 5)
Mathematics
20 students
This lesson aligns with the Common Core State Standards for Mathematics, specifically:
| Step Number | Step Title | Length (minutes) | Details |
|---|---|---|---|
| 1 | Introduction | 5 | Briefly introduce the topic and objectives for the lesson. |
| 2 | Checking Homework | 5 | Review the homework from the previous lesson without student presentations. Use this time to clarify any misconceptions. |
| 3 | Direct Instruction | 10 | Explain the process of multiplying decimals with examples on the board. Use visual aids if available. |
| 4 | Hands-On Activity | 5 | Distribute printable cards to students. Explain the task they need to complete using these cards. |
| 5 | Class Practice | 3 | Allow students to work independently or in pairs to fill in their cards. Move around to provide support as needed. |
| 6 | Collecting Cards | 2 | Randomly collect or check the filled cards to assess understanding and progress. |
| 7 | Assigning Homework | 2 | Briefly introduce the homework assignment and objectives to be completed at home. |
"Good morning, everyone! Today, we are going to dive into a very interesting topic: multiplying decimals. By the end of the lesson, you will understand how to multiply decimal numbers accurately and gain confidence in using decimals in real-world situations. Let's get excited about learning this important math skill!"
"Before we jump into our new lesson, let’s take a moment to check the homework from our last class. I’ll be asking you a few questions about it. If you made any mistakes or found the work challenging, don’t worry—this is a great chance to clarify any misunderstandings. Let's begin! I’ll go through the problems, and if you have any questions about them, please raise your hands."
"Now that we've cleared up our homework, let’s move on to our main lesson on multiplying decimals.
[If you have a projector or visual aids, now is the time to use them.]
Here’s how it works: to multiply decimals, we first multiply the numbers as if they were whole numbers.
For example, if we’re multiplying 2.5 by 1.2, we can ignore the decimal points for a moment and just calculate 25 times 12.
[Write this example on the board, showing the steps.]
Once you have that product, you need to count the total number of decimal places in the original numbers.
In this case, there is one decimal place in 2.5 and one in 1.2, making a total of two decimal places.
So when we write down our final answer, we’ll ensure to include those two decimal places.
That means 25 times 12 equals 300, but we need to move the decimal point two places to get the final answer: 3.00 or just 3.
Does everyone understand how that process works? Any questions before we move on?"
"Great! Now it’s time for a hands-on activity. I have prepared printable cards for each of you. These cards have different decimal multiplication problems on them.
[Distribute the cards.]
Your task is to work with a partner and solve the problems on these cards. Remember to follow the steps we just discussed: ignore the decimal at first, multiply the numbers, and then account for the decimals at the end.
You’ll have five minutes to complete this task, so let’s get started! If you need help, please raise your hand. I'll be walking around to assist you."
"Now that you’ve had a chance to work with your cards, I’d like each of you to take a moment to fill in your cards independently if you can. You can also choose to work with your partner if you feel that will help you.
This will be a quick three-minute practice session. Make sure you double-check your answers with the methods we discussed. I’ll come around and help if you have any questions!"
"Time’s up! Please pass your filled cards to the front of the class. I’ll quickly check your answers to see how everyone is grasping the concept of multiplying decimals.
Remember, this is just a check for understanding, and it helps me know what areas we might need to review further."
"Wonderful work today! For your homework, you will receive a handout. Your homework will include several problems to practice multiplying decimals on your own.
Make sure you follow the same steps we’ve practiced in class. This will help reinforce what you've learned.
Please take a few minutes to review the homework assignment I’m handing out now, and let me know if you have any questions before you leave.
Great job today, everyone! I'm proud of your hard work!"
Multiply the following decimals and express your answer with the correct number of decimal places:
a. 3.4 × 2.5
b. 0.6 × 0.7
c. 1.25 × 4.2
d. 2.75 × 3.6
Calculate the product of the following decimal numbers. Show your work step-by-step:
a. 5.1 × 0.8
b. 0.09 × 0.4
c. 3.6 × 2.3
d. 7.2 × 1.5
Word Problem: Maria purchased 2.4 meters of fabric for $5.25 per meter. How much did she spend in total? Show your multiplication and final answer.
If you multiply 0.4 by 0.03, what is the product? Explain the steps you took to find the answer, including how you tracked the decimal places.
Challenge Problem: Multiply 6.02 by 4.7. Write down the entire process, including identifying the total number of decimal places and placing the decimal point in the final answer.
Reflective Question: Why is it important to understand how to multiply decimals in real-life situations? Provide at least two examples where this skill might be useful.
Extra Practice: Create two of your own decimal multiplication problems, solve them, and show your step-by-step process with explanations.
| Question | Answer |
|---|---|
| What is the first step in multiplying decimals? | |
| How do you determine the total number of decimal places in your answer? | |
| Can you explain the process of ignoring the decimal points? | |
| What is the final answer for multiplying 2.5 by 1.2? | |
| How do you move the decimal point in your final answer? | |
| What should you do if you find a mistake in your multiplication? | |
| Why is it important to check your answers after multiplying decimals? | |
| What are some real-world situations where multiplying decimals is useful? | |
| How can working with a partner help you understand decimal multiplication better? | |
| Why did we practice with printable cards today? |