Lesson Plan
Unit Up! Numbers Unpacked
Students will be able to write numbers in unit form (e.g., 345 as 3 hundreds, 4 tens, 5 ones) for 3-digit numbers.
Understanding unit form helps students grasp place value, which is crucial for addition, subtraction, and more complex mathematical operations. It builds a strong foundation for number sense.
Audience
3rd Grade
Time
30 minutes
Approach
Direct instruction, guided practice, independent work.
Materials
Prep
Review Materials
10 minutes
- Review the Unit Up! Slide Deck to familiarize yourself with the content and talking points.
- Print copies of the Unit Form Worksheet for each student.
- Have the Unit Form Answer Key ready for quick reference during grading or discussion.
Step 1
Introduction: What's in a Number?
5 minutes
- Begin by displaying a 3-digit number (e.g., 273) on the board or using Unit Up! Slide Deck (Slide 1).
- Ask students: 'What does each digit in this number represent?' Encourage them to think about place value.
- Introduce the concept of 'unit form' as a way to clearly show the value of each digit.
Step 2
Modeling Unit Form
10 minutes
- Using Unit Up! Slide Deck (Slides 2-4), model how to write a 3-digit number in unit form.
- Break down examples like 452: '4 hundreds, 5 tens, 2 ones.'
- Emphasize that 'hundreds,' 'tens,' and 'ones' are the 'units.'
- Provide a few more examples and guide students in writing them on their whiteboards or scratch paper.
Step 3
Guided Practice: Worksheet Time!
10 minutes
- Distribute the Unit Form Worksheet.
- Work through the first one or two problems together as a class, clarifying any confusion.
- Have students complete the remaining problems independently. Circulate and provide support as needed.
Step 4
Wrap-up & Review
5 minutes
- Review answers to the Unit Form Worksheet using the Unit Form Answer Key or by having students share their responses.
- Ask students to share one new thing they learned about numbers today.
- Conclude by reiterating the importance of understanding unit form for building strong math skills.
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Slide Deck
What's in a Number?
Look at this number: 273
What do you notice about it? What does each digit represent?
Welcome students and get them ready to think about numbers. Display a 3-digit number and ask them to consider what each digit means.
Unpacking Numbers: Unit Form
Unit form tells us exactly how many of each 'unit' (like ones, tens, hundreds) are in a number.
Think of it like this:
- Ones are single units.
- Tens are groups of ten ones.
- Hundreds are groups of ten tens.
Explain that 'unit form' is a way to break down numbers to show the value of each digit. Introduce the units: ones, tens, hundreds.
Let's Try One: 452
How do we write 452 in unit form?
- The '4' is in the hundreds place: 4 hundreds
- The '5' is in the tens place: 5 tens
- The '2' is in the ones place: 2 ones
So, 452 is 4 hundreds, 5 tens, 2 ones.
Model the first example, 452. Go slowly, explaining each part: 4 hundreds, 5 tens, 2 ones.
Another Example: 706
What about 706?
- The '7' is in the hundreds place: 7 hundreds
- The '0' is in the tens place: 0 tens
- The '6' is in the ones place: 6 ones
So, 706 is 7 hundreds, 0 tens, 6 ones.
Model a second example, 706. Emphasize the zero in the tens place.
Your Turn to Practice!
Try writing these numbers in unit form on your whiteboard or scratch paper:
- 138
- 910
Be ready to share your answers!
Provide a quick practice for students before they move to the worksheet. Ask them to try 138 and 910.
Worksheet
Unit Form Worksheet
Directions: Write each number in unit form. Remember to think about hundreds, tens, and ones!
-
345
-
670
-
109
-
821
-
500
-
293
-
What is the value of the digit 7 in the number 782?
-
If a number has 4 hundreds, 2 tens, and 8 ones, what is the number?
Answer Key
Unit Form Answer Key
Directions: Here are the correct answers and explanations for the Unit Form Worksheet.
-
345
- Answer: 3 hundreds, 4 tens, 5 ones
- Reasoning: The digit 3 is in the hundreds place, 4 is in the tens place, and 5 is in the ones place.
-
670
- Answer: 6 hundreds, 7 tens, 0 ones
- Reasoning: The digit 6 is in the hundreds place, 7 is in the tens place, and 0 is in the ones place (meaning there are no single ones).
-
109
- Answer: 1 hundred, 0 tens, 9 ones
- Reasoning: The digit 1 is in the hundreds place, 0 is in the tens place (meaning no groups of ten), and 9 is in the ones place.
-
821
- Answer: 8 hundreds, 2 tens, 1 one
- Reasoning: The digit 8 is in the hundreds place, 2 is in the tens place, and 1 is in the ones place.
-
500
- Answer: 5 hundreds, 0 tens, 0 ones
- Reasoning: The digit 5 is in the hundreds place, and there are no tens or ones.
-
293
- Answer: 2 hundreds, 9 tens, 3 ones
- Reasoning: The digit 2 is in the hundreds place, 9 is in the tens place, and 3 is in the ones place.
-
What is the value of the digit 7 in the number 782?
- Answer: 700 or 7 hundreds
- Reasoning: The digit 7 is in the hundreds place, so its value is 7 multiplied by 100.
-
If a number has 4 hundreds, 2 tens, and 8 ones, what is the number?
- Answer: 428
- Reasoning: Combining 4 hundreds (400), 2 tens (20), and 8 ones (8) gives the number 428.
Script
Unit Form Script
Introduction: What's in a Number? (5 minutes)
(Teacher): "Good morning, everyone! Today, we're going to become number detectives and uncover the secrets hidden inside numbers. Take a look at the number on the board (or on Unit Up! Slide Deck, Slide 1): 273.
"Think about what each digit in this number represents. What does the '2' mean? What about the '7' and the '3'? Turn and talk to a partner for about 30 seconds, and then we'll share."
(Allow students to discuss.)
(Teacher): "Great ideas! We know that the '2' is in the hundreds place, the '7' is in the tens place, and the '3' is in the ones place. Today, we're going to learn a special way to write numbers that shows us exactly what each digit represents. It's called unit form!"
Modeling Unit Form (10 minutes)
(Teacher): "Let's dive into unit form. Unit form helps us clearly see how many hundreds, tens, and ones are in a number. It's like breaking a number down into its building blocks."
"Let's look at an example using our Unit Up! Slide Deck (Slide 3). The number is 452.
"The '4' is in the hundreds place, so we say it has 4 hundreds.
"The '5' is in the tens place, so we say it has 5 tens.
"And the '2' is in the ones place, so we say it has 2 ones.
"So, when we write 452 in unit form, it's 4 hundreds, 5 tens, 2 ones. See how we're using the words 'hundreds,' 'tens,' and 'ones' to tell us the units?"
(Advance to Slide 4.)
(Teacher): "Let's try another one: 706.
"What's in the hundreds place? That's right, '7.' So we have 7 hundreds.
"What's in the tens place? A '0'! This means we have 0 tens. It's important to still say '0 tens' to show that there are no groups of ten.
"And in the ones place, we have '6.' So that's 6 ones.
"Altogether, 706 in unit form is 7 hundreds, 0 tens, 6 ones."
(Advance to Slide 5.)
(Teacher): "Now it's your turn to practice a couple! On your whiteboards or a piece of scratch paper, try writing these numbers in unit form:
- 138
- 910
"Take about two minutes to work on these. Be ready to share your answers with the class!"
(Allow students time to work and then call on a few to share their answers and explain their thinking.)
Guided Practice: Worksheet Time! (10 minutes)
(Teacher): "Excellent work, number detectives! You're ready for some more practice. I'm going to hand out the Unit Form Worksheet."
(Distribute the Unit Form Worksheet.)
(Teacher): "Let's do the first problem together to make sure we're all on the right track. The first number is 345. How would we write that in unit form? Talk with your partner again and then we'll write it down together."
(Guide students to write '3 hundreds, 4 tens, 5 ones' on their worksheets.)
(Teacher): "Now, I want you to work independently on the rest of the problems on the worksheet. If you get stuck, remember to think about the place value of each digit. I'll be walking around to help if you have any questions."
(Circulate and provide individual or small-group support.)
Wrap-up & Review (5 minutes)
(Teacher): "Alright, everyone, let's bring it back together. We're going to quickly review some of the answers from the Unit Form Worksheet. We can use our Unit Form Answer Key to check our work."
*(Go over a few problems from the worksheet, either by calling on students or displaying the Unit Form Answer Key.)
(Teacher): "Fantastic job today understanding unit form! Before we finish, I want everyone to think of one new thing you learned or one 'aha!' moment you had about numbers today. You can share with your elbow partner."
(Allow a minute for quick sharing.)
(Teacher): "Why do you think it's important to know about unit form? How might this help us with other math problems?"
(Solicit a few responses.)
(Teacher): "You got it! Understanding unit form helps us really grasp what numbers mean, which is super important for all kinds of math, especially when we start adding and subtracting bigger numbers. You've all taken a big step forward in becoming even stronger mathematicians today. Give yourselves a pat on the back!"