| 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 | Dividing decimals Intro |
| What length (min) | 30 |
| What age group | Year or Grade 7 |
| 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 |
Dividing Decimals Intro
Year/Grade 7
Mathematics
20 students
30 minutes
This lesson aligns with the national curriculum standards for mathematics regarding understanding and applying division with decimals.
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Check Homework | 5 mins | Review the assigned homework by collecting it without asking students to present it aloud. Provide quick feedback on common mistakes. |
| 2 | Introduction to Decimals | 5 mins | Introduce the concept of decimals and why dividing decimals is important in real life. Use visual aids if possible. |
| 3 | Direct Instruction | 8 mins | Explain the steps of dividing decimals with a detailed example on the board. Highlight key strategies and common pitfalls. |
| 4 | Printable Card Activity | 5 mins | Distribute printable cards to students. Instruct them to fill in the cards during the next step's practice. |
| 5 | Guided Practice | 5 mins | Engage the class in guided practice problems on dividing decimals. Walk around the room to provide support while students fill in their cards. |
| 6 | Exit Check | 2 mins | Randomly collect or check the filled cards for completion and understanding. Provide quick feedback on the activity. |
| 7 | Assign Homework | 2 mins | Provide details for the homework assignment without giving specific questions. Explain expectations for the next lesson. |
"Good morning, everyone! Let’s start our lesson by checking the homework from last class. Please pass your homework to the front. I’ll collect it, and while I’m doing that, I want you to take a moment to think about any challenges you faced during the assignment.
[Pause for a moment to collect homework.]
Thank you! I’ve quickly reviewed some of the homework, and I noticed a few common mistakes. Many of you struggled with decimal placement when dividing. Remember, it’s essential to keep track of where the decimal point goes, as it can change the final answer significantly.
Great job overall, team! Now, let’s dive into today’s lesson on dividing decimals."
"Today, we are going to learn about dividing decimals. First, let’s talk about what decimals are and why they matter. Decimals are used in various real-life situations, such as money, measurements, and statistics.
For example, if you want to split a bill of $45.75 among three friends, you need to divide the decimal.
Using visual aids, here’s a chart that shows how we represent decimals and their importance. [Use the whiteboard or projector for visuals.]
Understanding how to divide with decimals helps us solve everyday problems efficiently."
"Now that we understand why decimals are important, let's get into how we can divide them.
Dividing decimals might seem tricky, but we can break it down into a few simple steps.
For example, let’s look at this problem: 4.5 divided by 1.5.
First, convert the divisor (1.5) into a whole number by moving the decimal to the right. That means we also move the decimal in the dividend (4.5) the same number of places. So we rewrite it as 45 divided by 15.
Now, we perform the division: 45 divided by 15 equals 3.
Since we adjusted the numbers earlier, the result is also 3.
Remember, the key strategies include ensuring both the divisor and dividend are adjusted to whole numbers and keeping track of the decimal placement in your answer.
Watch out for common pitfalls, like forgetting to move the decimal or not adjusting both numbers equally.
Let’s practice this with another example on the board."
"Next, I have a fun activity for you! I’m going to give each of you a printable card. It will help you keep track of important steps and notes on dividing decimals.
[Distribute the cards to the students.]
On these cards, write down the steps we discussed:
You can use these cards during our next practice activity!"
"Now it’s time to practice dividing decimals together! I’ll write a few problems on the board for us to work through as a class.
[Write problems such as: 6.4 ÷ 0.8 and 3.6 ÷ 1.2 on the board.]
Let’s start with the first problem.
Who can tell me how to set it up?
[Encourage student participation and guide them through the problems, helping as needed. Walk around to assist and provide support.]
Great teamwork, everyone! Make sure you fill in your printable cards with the answers and the important steps as we go along."
"As we wrap up our practice, let's do a quick exit check. Please pass your completed printable cards to the front. I want to skim through them to ensure everyone understands the concepts we covered today.
I’ll be providing quick feedback, so if I see anything that needs more attention, we can address it now."
"Before we end, let’s talk about your homework for tonight. I would like you to continue practicing dividing decimals. I’ll be handing out a worksheet with a range of problems for you to solve.
Please complete these problems, and be ready to discuss them in our next lesson. I expect you to show your work to ensure you understand each step.
Thank you for your great participation today! I look forward to our next class!"
Convert the following division problems into whole numbers and solve:
Write down the steps you would take to divide 5.5 by 0.5. Make sure to explain the importance of adjusting the decimal points.
Solve the following problems, showing all your work:
In what real-life situations might you need to divide decimals? Give at least two examples.
Check your work for this problem: 9.6 ÷ 1.2. After solving, explain if you remembered to adjust the decimal points correctly.
List three common pitfalls students might face when dividing decimals. How can these be avoided?
Create your own division problem with decimals, solve it, and provide a step-by-step explanation of your solution process.
Reflect on today's lesson: What did you find most challenging about dividing decimals? What strategies did you find helpful?
| Question | Answer |
|---|---|
| What are decimals and why are they important in real-life situations? | |
| Describe the first step in dividing decimals when the divisor is a decimal. | |
| How do you ensure that both the divisor and dividend are adjusted equally in division? | |
| What is the result of 4.5 divided by 1.5 after adjusting the decimals? | |
| Can you list the steps you wrote on your printable card for dividing decimals? | |
| What common pitfalls should you watch out for when dividing decimals? | |
| How would you set up the problem for 6.4 ÷ 0.8? | |
| What did you learn from the homework you submitted regarding decimal placement? | |
| Why is it important to show your work when dividing decimals? | |
| What challenges did you face while solving the division problems for homework? |