| 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 | Place Value expanded form |
| What length (min) | 30 |
| What age group | Doesn't matter |
| Class size | 8 |
| What curriculum | ACARA |
| 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 |
Place Value - Expanded Form
Students in Grades 3-4 (approximately 8-10 years old)
Mathematics
30 minutes
8 students
This lesson aligns with the Australian Curriculum Assessment and Reporting Authority (ACARA) standards for Mathematics.
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Introduction | 5 mins | Brief review of place value concepts. Explain the goal of the lesson: understanding expanded form. |
| 2 | Direct Instruction | 10 mins | Teach how to convert numbers into expanded form with examples. Use the whiteboard for demonstration. |
| 3 | Guided Practice | 5 mins | Provide a few practice problems on the board for class to solve together, reinforcing concepts. |
| 4 | Group Activity | 7 mins | Divide students into small groups. Give each group task cards with different numbers to convert to expanded form. |
| 5 | Independent Practice | 2 mins | Hand out individual worksheets for students to practice converting numbers from expanded form. |
| 6 | Homework Assignment | 1 min | Assign additional practice problems for homework. Inform students that homework will be checked without presentations. |
Review the key points of expanded form and place value before dismissal. Remind students to complete their homework.
"Good morning, class! Today we’re going to review a very important concept in mathematics: place value. Can anyone tell me what place value means? (Pause for responses) Great ideas! Place value helps us understand the position of a digit in a number, and this will lead us into our main topic today: expanded form. By the end of our lesson, you'll not only understand place value but also be able to convert numbers into expanded form. Are you all excited to dive in?"
"Let's start with how to convert numbers into expanded form. Expanded form is a way to show a number by breaking it down according to the value of each digit. For example, if we take the number 452, we break it down like this: 'Four hundred plus fifty plus two.' It's like telling the number its complete story!
Let’s write this example on the whiteboard. (Write 452)
Now, watch how we break it down:
So, 452 in expanded form is 400 + 50 + 2. Let’s try another example together.
How about the number 305? Let’s write that down as well. (Write 305)
Can anyone tell me how to break that down? (Pause for responses) Yes! That's right! We have:
So, in expanded form, it’s 300 + 0 + 5. Excellent job, everyone!"
"Now, let's practice together as a class. I’ll write a few numbers on the board, and we’ll convert them into expanded form as a group.
Here's the first number: 614. What is that in expanded form? (Write 614 on the board)
(Pause for responses) Yes, that’s right! It’s 600 + 10 + 4.
Now let's try another one—it’s 209. (Write 209 on the board)
How can we break that down? (Pause for responses) That's correct! It’s 200 + 0 + 9.
One more for fun—let's do 503. (Write 503 on the board)
Who can tell me how to express that in expanded form? (Pause for responses) Yes! 500 + 0 + 3! You are all doing a fantastic job!"
"Now it’s time for a group activity! I’m going to divide you into small groups. Each group will receive task cards with different numbers on them. Your job is to convert those numbers into expanded form.
You will have 7 minutes to work together. Remember, help each other out and make sure everyone understands the process. If you finish early, you can discuss the answers within your group.
Let’s get started!"
"Alright, time’s up for the group activity! Now, I’d like you to work independently for a couple of minutes. Here’s a worksheet with some numbers in expanded form that you need to convert back into standard form.
Take your time, and I’ll be walking around to assist if you have any questions. You have 2 minutes—let's get to it!"
"Wonderful job today, everyone! For homework, I’d like you to practice converting a few more numbers to and from expanded form. You’ll find these problems on the sheet I’m handing out now. Remember, I’ll check your homework, but you won’t need to present it—just be ready to discuss any questions you might have in our next class."
"Before we wrap up, let’s quickly review what we learned today about expanded form and place value. We discussed how to break down numbers according to the value of their digits, and we practiced both in groups and independently.
Don’t forget to complete your homework, and if you have any questions about it, feel free to ask me tomorrow. Have a great day, class!"