| 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 | long multiplication |
| What length (min) | 30 |
| What age group | Year or Grade 6 |
| Class size | 5 |
| What curriculum | NSW Australia |
| 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 |
Long Multiplication
Year 6
Mathematics
30 minutes
5
NSW Australia National Curriculum
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Introduction | 5 mins | Introduce the concept of long multiplication. Discuss its importance in mathematics. |
| 2 | Demonstration | 10 mins | Teacher demonstrates long multiplication on the whiteboard with an example, explaining each step clearly. |
| 3 | Printable Card Distribution | 5 mins | Distribute printable cards to each student that they will use to practice long multiplication. Instruct them to keep the cards nearby. |
| 4 | Independent Practice | 5 mins | Students work individually on long multiplication problems using their cards to practice what they’ve learned. |
| 5 | Random Checking & Collection | 3 mins | Collect cards or conduct a brief random check of students’ work without students presenting. |
| 6 | Conclusion & Q&A | 2 mins | Recap the lesson, clarify any misunderstandings, and answer questions from the students. |
Assign students to complete additional long multiplication problems at home. Collect the homework in the next class for assessment without requiring students to present their work in front of the class.
"Good morning, everyone! Today, we are going to learn about long multiplication. This is a really important skill in mathematics that helps us solve problems with larger numbers. Can anyone tell me why you think being able to multiply big numbers is useful in real life? Great thoughts! Multiplication helps us in areas like shopping, cooking, and even budgeting. Let’s get started on understanding how to do it!"
"Now, I will show you how to perform long multiplication step by step. Please take a look at the whiteboard. I'll write down an example problem: let's say, 23 times 47.
First, we line the numbers up one below the other. Please observe how I place the numbers.
Next, we multiply the bottom number, 7, by the digits in the top number, 23. Can anyone tell me what 7 times 3 is? Yes, that’s right! It’s 21. I write down the 1 and carry over the 2.
Now, what is 7 times 2? Yes, it’s 14, and don’t forget to add the 2 we carried over! What do we get? Yes, 16.
Now we’ll write that down, and it looks like we have 161. But we are not done yet!
Next, we move to the 4 in 47. We treat it as a 40 because it’s in the tens place. We write a zero in the units place below 161.
Now we multiply 4 by 3. What do we get? Yes, 12! Write down the 2 and carry over the 1.
Finally, we multiply 4 by 2, which gives us 8, plus the 1 we carried over makes it 9.
Let's write that down too. Now, we add the two results we got: 161 and 920. Can anyone tell me what that is? Yes, it’s 1081! So, 23 times 47 equals 1081. That’s how you do long multiplication!"
"Now that I've demonstrated how to do long multiplication, it's your turn to practice! I'm going to hand out printable long multiplication cards for each of you. Please take one and keep it nearby. You will use these cards to do your own multiplication problems. Make sure to pay attention and let’s see how well you can apply what you just learned!"
"Alright! You all have your cards, and now it’s time for you to work on some long multiplication problems on your own. Take a look at the problems I’ve prepared for you. Remember to use the steps we just went through: line up the numbers, multiply each digit one by one, carry over when needed, and don’t forget to add your two results at the end. I will walk around to assist you if you have questions or need help. You have five minutes for this practice. Go ahead!"
"Time's up! Now, I’d like to collect your cards to see how you did. I will quickly check through your work to make sure everyone understands the process. Don’t worry if you made a mistake; that’s how we learn!
If I see anything that needs clarifying, I’ll be sure to mention it during our conclusion. Thank you for working hard!"
"Fantastic job today, everyone! Let's quickly recap what we learned. We explored long multiplication and practiced it step by step. Does anyone have any questions or need clarification on anything we covered?
Feel free to ask me anything! And remember, for homework, please finish any long multiplication problems I assign today. We will collect your completed work next class, and you won’t need to present it. Great work today, everyone! See you next time!"
| Slide Number | Image | Slide Content |
|---|---|---|
| 1 | {Image: Classroom setting with a whiteboard} | - Introduction to long multiplication |
| - Importance in real life (shopping, cooking) | ||
| - Engaging students with questions | ||
| 2 | {Image: Step-by-step long multiplication example} | - Step-by-step demonstration of long multiplication |
| - Align numbers properly | ||
| - Multiply digits and carry over | ||
| - Add results together to get final answer | ||
| 3 | {Image: Printable long multiplication card} | - Distribution of printable long multiplication cards |
| - Preparing students for practice | ||
| - Emphasis on using skills learned | ||
| 4 | {Image: Students working on math problems} | - Independent practice with long multiplication |
| - Review of multiplication steps | ||
| - Teacher walking around to assist students | ||
| 5 | {Image: Teacher checking student work} | - Random checking and collection of practice cards |
| - Encouragement of learning from mistakes | ||
| - Conclusion and Q&A session | ||
| - Reminder of homework assignment |
| Question | Answer |
|---|---|
| What is long multiplication used for in real life? | |
| How do you line up the numbers for long multiplication? | |
| What is the first step when multiplying the digits in long multiplication? | |
| What do you do when you need to carry over a number? | |
| How do you treat the second number when it's in the tens place? | |
| Can you explain how to add the two results in long multiplication? | |
| Why is it important to carry over during multiplication? | |
| What are some examples of areas in life where long multiplication is useful? | |
| How did we determine the final answer in the example problem 23 times 47? | |
| What steps did you follow during your independent practice? |
Can you think of a scenario in daily life where using long multiplication would be essential? Share your idea with the class.
If we were to multiply 56 by 34 using the long multiplication method, what would be the first step we need to take? Can you explain that step?
How does carrying over digits in multiplication help us achieve the correct answer? Can you demonstrate with a simple example?
Let's say you made an error in the addition of your final results while using long multiplication. What strategy could you use to check your work?
Why do you think it’s important to understand the process of long multiplication rather than just memorizing the multiplication tables? Discuss your thoughts.