| 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 | factors and multiples |
| 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 | 15 |
| Create fill-in cards for students | |
| Create creative backup tasks for unexpected moments |
Factors and Multiples
Year 7 (Approx. 11-12 years old)
Mathematics
20 students
This lesson aligns with the UK's National Curriculum for Mathematics, focusing on Number (Properties of numbers and Number - Factors and multiples).
| Step Number | Step Title | Length (minutes) | Details |
|---|---|---|---|
| 1 | Introduction | 5 | Introduce the topic of factors and multiples with examples. Explain the importance of understanding these concepts. |
| 2 | Explanation of Factors | 10 | Define factors. Show how to find factors for numbers using examples on the whiteboard. Encourage student interaction. |
| 3 | Explanation of Multiples | 10 | Define multiples. Use examples to show how to find multiples. Highlight the relationship between factors and multiples. |
| 4 | Guided Practice | 5 | Solve a few problems together as a class. Ask guiding questions to promote thinking. |
| 5 | Independent Practice | 5 | Distribute worksheets with problems on factors and multiples. Students work independently to complete them. |
| 6 | Assign Homework | 2 | Briefly explain homework assignment related to factors and multiples without having students present their homework in class. |
| 7 | Conclusion | 3 | Recap key points of the lesson. Address any remaining questions. |
A homework assignment will be given related to factors and multiples. Students will complete this at home and submit it at the beginning of the next lesson.
"Good morning, class! Today, we are going to delve into an exciting topic in mathematics: Factors and Multiples. Understanding these concepts is essential as they are foundational to many areas of math and everyday life. For instance, when you work out problems in algebra or even when you're trying to figure out how to divide things evenly among your friends, knowing about factors and multiples can really help you out. Can anyone give me an example of a situation where you might need to use factors or multiples?"
(Pause for student responses.)
"Great examples, everyone! Let’s start with factors. A factor is a number that divides another number exactly without leaving a remainder. For example, let’s take the number 12. Can anyone tell me what numbers can divide 12 without a remainder?"
(Encourage student responses. Write down answers on the whiteboard.)
"Exactly! The factors of 12 are 1, 2, 3, 4, 6, and 12. Now, let me show you how to find the factors of another number, say 18. We'll work this out together."
(Write down 18 on the whiteboard and walk students through the process of finding the factors.)
"Remember, you can always check if a number divides another number evenly by performing the division. If there’s no remainder, it’s a factor!"
"Now that we understand factors, let’s move on to multiples. A multiple is what you get when you multiply a number by an integer. For instance, the multiples of 3 are 3, 6, 9, 12, and so on."
(Write down the multiples of 3 on the whiteboard.)
"Let’s take another example. What are the first five multiples of 5? Yes! They are 5, 10, 15, 20, and 25. Notice how multiples are closely related to factors. In fact, understanding one helps in figuring out the other."
"Can someone explain the connection between factors and multiples? Yes, that’s right! If a number is a factor of another number, it is also a multiple of that number's factors."
"Alright, let’s practice what we've just learned together. On the whiteboard, I have an example: Find the factors of 24 and the first five multiples of 6. Let’s start with the factors. Who wants to help us find the factors of 24?"
(Select a student to come up and help. Guide them as needed.)
"Excellent job! Now, who can help us find the multiples of 6? Remember, we're looking for the first five multiples, which means we multiply 6 by our integers: 1, 2, 3, 4, and 5."
(Guide students through this process with more interaction.)
"Now it’s your turn to work independently! I am handing out worksheets with problems on factors and multiples. Please complete these on your own. Remember to write your answers down clearly so we can review them together."
(Distribute worksheets and give students about 5 minutes to work quietly.)
"Great job on the worksheets, everyone! For homework, I’d like you to complete a few additional problems on factors and multiples. You’ll find these problems in your homework packs, which I’ll be handing out shortly. Remember, this is a chance for you to reinforce what we learned today, so take your time."
"To wrap up today’s lesson, let’s quickly recap what we’ve learned. What are factors? Yes, numbers that divide another number exactly without a remainder. And what about multiples? Exactly! They’re the result of multiplying a number by integers. Are there any questions before we finish up?"
(Address any final questions and ensure students leave with a good understanding of the concepts.)
"Thank you for your hard work today, everyone! Don’t forget to complete your homework, and I look forward to seeing you all next lesson!"
| Slide Number | Image | Slide Content |
|---|---|---|
| 1 | {Image: A classroom setting with students} | - Good morning, class! |
| - Introduce the topic: Factors and Multiples. | ||
| - Importance of understanding these concepts in math and daily life. | ||
| - Prompt for student examples of using factors/multiples. | ||
| 2 | {Image: Whiteboard with number 12} | - Factors: Numbers that divide another number without a remainder. |
| - Example: What are the factors of 12? | ||
| - Factors of 12 are 1, 2, 3, 4, 6, and 12. | ||
| 3 | {Image: Whiteboard with number 18} | - Finding factors: Let's work out the factors of 18 together. |
| - Check for no remainder to confirm factors. | ||
| 4 | {Image: Whiteboard with multiples of 3} | - Transition to Multiples: Result of multiplying a number by an integer. |
| - Example: The multiples of 3 are 3, 6, 9, 12, etc. | ||
| - What are the first five multiples of 5? | ||
| 5 | {Image: Whiteboard with multiples of 5} | - First five multiples of 5: 5, 10, 15, 20, and 25. |
| - Relationship between factors and multiples: Understanding one helps with the other. | ||
| 6 | {Image: Diagram showing relationship} | - Connection recap: If a number is a factor of another, it is also a multiple of that number's factors. |
| 7 | {Image: Whiteboard with number 24} | - Guided Practice: Find the factors of 24. |
| - Select a student to assist in finding factors. | ||
| 8 | {Image: Whiteboard with number 6} | - Next, find the first five multiples of 6. |
| - Guide students through calculating multiples: 6, 12, 18, 24, 30. | ||
| 9 | {Image: Students working on worksheets} | - Independent Practice: Hand out worksheets on factors and multiples. |
| - Encourage clarity in answers for review. | ||
| 10 | {Image: Students working quietly} | - Allow time for students to complete worksheets independently. |
| 11 | {Image: Homework packs being distributed} | - Assign Homework: Complete additional problems on factors and multiples. |
| - Reminder to take time with the homework for reinforcement. | ||
| 12 | {Image: Recap slide with key points} | - Conclusion recap: What are factors? |
| - Factors: Numbers that divide another exactly. | ||
| - What are multiples? | ||
| - Multiples: Result of multiplying a number by integers. | ||
| 13 | {Image: Students raising hands to ask} | - Address any final questions before concluding the lesson. |
| 14 | {Image: Teacher thanking students} | - Thank students for their hard work. |
| - Reminder to complete homework and encouragement for the next lesson. | ||
| 15 | {Image: Positive classroom atmosphere} | - Foster a supportive learning environment by acknowledging participation and effort. |
| - Look forward to seeing everyone in the next lesson! |