| 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 | Converting fractions to decimals |
| 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 |
Mathematics
Converting Fractions to Decimals
Year 7
30 minutes
20 Students
This lesson aligns with the Australian National Curriculum for Mathematics, focusing on number and algebra skills, particularly within the context of understanding and using fractions and decimals.
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Introduction to the Topic | 5 min | Briefly explain what fractions and decimals are, and their relationship. Introduce the objective of the lesson. |
| 2 | Direct Instruction | 10 min | Demonstrate the process of converting fractions to decimals using division. Use examples on the whiteboard. |
| 3 | Activity: Printable Cards | 5 min | Distribute the printable cards to each student. Explain how to fill them with different fraction examples to convert. |
| 4 | Independent Practice | 5 min | Have students work independently to convert the fractions on their cards to decimals. Circulate the room for support. |
| 5 | Checking for Understanding | 3 min | Collect the printable cards for random checking. Ensure that a few students’ responses are reviewed without full-class presentation. |
| 6 | Conclusion | 2 min | Recap the key points of converting fractions to decimals, answer any remaining questions, and introduce the homework assignment. |
Assign students to convert a set of fractions to decimals at home. This assignment can utilize online resources or textbooks. Ensure students submit their homework through an online platform to maintain effort but avoid public presentation.
Informal assessment will occur through random checks of the completed printable cards to gauge understanding and areas for improvement without putting students on the spot.
"Good morning, everyone! Today, we will be diving into an important topic in mathematics: converting fractions to decimals. Can anyone remind us what a fraction is? [Pause for responses.] That's right! A fraction represents a part of a whole. And what about decimals? [Pause for responses.] Excellent! Decimals are another way to express parts of a whole, just like fractions do.
Now, our objective for today is to understand how to convert fractions into decimals by using division. By the end of this lesson, you will be able to confidently perform these conversions. Let’s jump in!"
"First, let's talk about the process of converting a fraction into a decimal. The method we often use is division. For instance, let's look at the fraction 1/4. To convert this into a decimal, we divide the numerator (that’s the top number, 1) by the denominator (the bottom number, 4).
[Transition to whiteboard.]
I’ll show you how this works step-by-step. [Write the fraction 1/4 on the board.] So, we set up our division: 1 divided by 4.
When I do the division, I find that 4 does not go into 1, so I add a decimal point and a zero. [Write it out.]
Now we have 10. So, how many times does 4 go into 10? [Pause for responses.] Yes, 2 times! 4 times 2 is 8.
Now we subtract 8 from 10, and we have 2 left. We can add another zero and continue our division... [Continue explaining and solving a couple of examples like 1/2 and 3/5].
This method will give us a decimal representation of the fraction. Remember, practice makes perfect, and today, you'll get to try this out yourselves!"
"Now, it’s time for you to get hands-on! I will pass out printable cards, and each of you will receive one.
On these cards, there will be different fractions that you need to convert to decimals. I want you to take some time to fill them in using the technique we just practiced.
[Distribute the printable cards.]
Please write down the fractions on your cards and perform the division to find the decimal equivalent. If you need a calculator, feel free to use one.
You have five minutes to complete this activity. Ready? Go!"
"Alright, let’s get into some independent practice.
Continue working on the fractions on your cards. Remember, apply the division method we discussed. I’ll be walking around to support you if you have any questions or need help. Don’t hesitate to raise your hand if you get stuck!
Let’s see how many decimals you can convert in the next five minutes!"
"Time’s up! Now, let’s check your understanding. I’m going to collect your printable cards and look through a few randomly to see how well you’ve grasped the concept.
[Collect the cards.]
I won’t be going over everyone’s work but rather checking a few responses to ensure you all are on the right track. This gives me a chance to see what areas we might need to revisit or clarify."
"Great job today, everyone! We’ve learned how to convert fractions into decimals using division, and I saw some of you mastering this skill.
To wrap up, let’s recap. Can anyone tell me the steps we followed to convert a fraction to a decimal? [Pause for responses.] That’s it! We divide the numerator by the denominator.
Before you go, I’d like you to complete a homework assignment. Please convert a set of fractions to decimals at home. You can use online resources or your textbooks to help.
Make sure to submit your work on our online platform, and if you have any questions about the assignment, feel free to ask!
Thank you for your hard work today, and I look forward to seeing what you come up with for homework!"
| Question | Answer |
|---|---|
| What is a fraction? | |
| How do you represent a part of a whole using fractions? | |
| What are decimals? | |
| How are fractions and decimals similar? | |
| What does the numerator represent in a fraction? | |
| What does the denominator represent in a fraction? | |
| What is the method used to convert fractions to decimals? | |
| How do you set up a division to convert the fraction 1/4? | |
| What do you do if the numerator is smaller than the denominator? | |
| How many times does 4 go into 10 when converting 1/4? | |
| What is the decimal equivalent of the fraction 1/4? | |
| What is the decimal equivalent of the fraction 1/2? | |
| What steps do you take to convert 3/5 into a decimal? | |
| Why is it important to practice converting fractions to decimals? | |
| How can you verify your decimal conversion using a calculator? | |
| What should you do if you get stuck during the conversion process? | |
| What might be some areas to revisit after checking your understanding? | |
| What homework assignment did you receive today? | |
| How should you submit your homework assignment? |