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Where Do Numbers Live?

Lesson Plan

Place Value Power-Up Plan

The student will be able to identify the place value of digits in a three-digit number, understanding that the position of a digit determines its value. The student will be able to read and write three-digit numbers, connecting the numeral form to its expanded form.

Understanding place value is like having a superpower for numbers! It makes big numbers easy to understand and is the foundation for all math operations like adding, subtracting, multiplying, and dividing. Mastering this will make all future math topics much simpler and more fun.

Audience

3rd Grade Student

Time

25 minutes

Approach

Through interactive slides, hands-on activities, and a detective-style worksheet.

Prep

Materials and Review

10 minutes

Step 1

Warm-Up: Number Scramble

3 minutes

Begin with the Place Value Warm Up to activate prior knowledge. Ask the student to unscramble a few digits to make the largest and smallest numbers possible. For example, using 2, 5, 8, what are the largest and smallest numbers you can make? This helps them think about digit position before diving into place value directly.

Step 2

Introduction: Where Do Numbers Live?

5 minutes

Using the Digits on the Block Slide Deck (Slides 1-3) and the Teacher Script, introduce the concept of place value. Explain that numbers live in different 'houses' (places) and their house determines their value. Use the number chart to visually represent ones, tens, and hundreds places.

Step 3

Activity: Build-a-Number Blocks

8 minutes

Transition to the Build-a-Number Blocks Activity. Provide the student with digit cards (0-9) and place value mats (ones, tens, hundreds). Call out three-digit numbers and have the student physically build them on their mat, explaining the value of each digit as they place it. For example, for '345', they'd say '3 hundreds, 4 tens, 5 ones'. Alternatively, use digital base-ten blocks.

Step 4

Practice: Value Detective Hunt

7 minutes

Introduce the Value Detective Hunt Worksheet. Explain that they are now 'Value Detectives' and need to find the value of specific digits in various three-digit numbers. Guide them through the first problem, reinforcing the concept of looking at the digit's 'house' (place). Circulate and provide support as needed. Remind them to refer to the number chart if they get stuck.

Step 5

Cool-Down: My Favorite Number's Value

2 minutes

Conclude the lesson with the Place Value Cool Down. Ask the student to write a three-digit number and then identify the value of one of its digits. For instance, 'In the number 729, the 2 is in the tens place, so its value is 20.' This serves as a quick check for understanding and allows for reflection.

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Slide Deck

Where Do Numbers Live?

Numbers have a special home, and where they live tells us their true value!

Welcome the student and introduce the lesson's exciting topic: numbers and where they 'live.'

The Number Neighborhood

Every digit has a special 'house' in a number.

  • Ones Place: The first house, for single items.
  • Tens Place: The second house, for groups of ten.
  • Hundreds Place: The third house, for groups of one hundred.

Explain that numbers have different 'houses' or 'places.' Introduce ones, tens, and hundreds. Use a visual aid like a number chart or base-ten blocks to illustrate.

Meet the Neighbors!

Let's look at the number 258

  • The 8 is in the ones place. Its value is 8.
  • The 5 is in the tens place. Its value is 50.
  • The 2 is in the hundreds place. Its value is 200.

Show an example like the number 258. Point to each digit and explain its place and value. Emphasize that the same digit can have a different value depending on its place.

Become a Value Detective!

Now it's your turn to explore the number neighborhood!

We're going to build numbers and discover the secret value of each digit.

Transition to the activity. Explain that they will be building numbers and identifying their values, just like a detective!

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Script

Teacher Script: Where Do Numbers Live?

Warm-Up: Number Scramble (3 minutes)

"Good morning/afternoon, [Student's Name]! Today, we're going on an exciting adventure to discover where numbers truly 'live' and what that means for their secret power! To get our brains warmed up, let's play a quick game."

"I'm going to give you three digits, and I want you to tell me the largest and smallest numbers you can make using them. Ready? Here are your digits: 2, 5, 8. What's the largest number you can make? And the smallest? Why did you put the digits in that order?"

(Allow time for student to answer and explain. Guide them to articulate that the position of the digit changes the number's overall value.)

Introduction: Where Do Numbers Live? (5 minutes)

(Display Digits on the Block Slide Deck - Slide 1: "Where Do Numbers Live?")

"Great job! You just got a sneak peek into what we're learning today. Numbers are fascinating, and just like people, they have a special home, or a 'place,' within a larger number. And where they live tells us their true value!"

(Display Digits on the Block Slide Deck - Slide 2: "The Number Neighborhood")

"Imagine a number as a neighborhood, and each digit has its own house. We're going to focus on three main houses today: the ones place, the tens place, and the hundreds place."

"The ones place is like the first house on the block. It's for single items, like 1, 2, 3... up to 9."

"Then we have the tens place. This house is for groups of ten. So if a digit lives here, it means you have that many groups of ten. Like 2 in the tens place means 20."

"And finally, the hundreds place. This house is for groups of one hundred. If a digit lives here, it tells you how many groups of one hundred you have. Like 3 in the hundreds place means 300."

(Point to the number chart or use your hands to demonstrate each place.)

(Display Digits on the Block Slide Deck - Slide 3: "Meet the Neighbors!")

"Let's look at an example. Take the number 258. Can you tell me which digit is in the ones place?"

(Allow student to respond, guiding if necessary.)

"That's right, the 8 is in the ones place, so its value is simply 8. What about the 5? Which place is it in?"

(Allow student to respond.)

"Exactly! The 5 is in the tens place, so its value is 50. It means we have five groups of ten."

"And what about the 2? Where does it live?"

(Allow student to respond.)

"Perfect! The 2 is in the hundreds place, so its value is 200. We have two groups of one hundred."

"See how the same digit, if it were to move houses, would have a different value? That's the magic of place value!"

Activity: Build-a-Number Blocks (8 minutes)

(Display Digits on the Block Slide Deck - Slide 4: "Become a Value Detective!")

"Now, it's your turn to become a real Value Detective! We're going to use these Build-a-Number Blocks Activity materials to explore numbers."

"I'm going to say a three-digit number, and I want you to build it using your digit cards and place value mat. As you place each digit, tell me its value. Are you ready?"

(Call out numbers such as 137, 402, 680, 915, 333. Provide clear instructions and support as the student builds the numbers. Encourage them to vocalize the value of each digit.)

"Fantastic job building those numbers! You're really understanding how each digit contributes to the whole number."

Practice: Value Detective Hunt (7 minutes)

"You've been doing such an amazing job, Value Detective! Now, let's put your skills to the test with a special mission: the Value Detective Hunt Worksheet."

"On this worksheet, you'll see several numbers, and a specific digit in each number will be underlined. Your job is to find the value of that underlined digit. Remember to think about which 'house' it lives in!"

"Let's do the first one together. Look at the number 473. The 7 is underlined. What place is the 7 in? And what is its value?"

(Guide the student to identify the tens place and the value of 70.)

"Excellent! Now you can continue on your own. If you get stuck, remember to look at our number chart!"

(Allow the student to work independently, providing gentle guidance and encouragement. Remind them to check their work.)

Cool-Down: My Favorite Number's Value (2 minutes)

"You've done an incredible job today, [Student's Name]! To wrap up our place value adventure, let's do a quick cool-down activity. I'd like you to write down any three-digit number you like. Then, I want you to pick one of the digits in that number and tell me its place and its value. For example, in the number 729, the 2 is in the tens place, so its value is 20."

(Allow student to complete the Place Value Cool Down activity. Listen to their explanation to assess understanding.)

"Wonderful! You've successfully demystified place value today! You now have a powerful tool for understanding all numbers. Keep practicing, and you'll be a number expert in no time!"

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Warm Up

Place Value Warm Up: Number Scramble

Instructions: Unscramble the digits to make the largest number possible, then the smallest number possible. Explain your reasoning.

Digits: 2, 5, 8

  1. Largest Number:



  2. Smallest Number:



  3. Explain your reasoning for creating the largest number:






  4. Explain your reasoning for creating the smallest number:






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Cool Down

Place Value Cool Down: My Favorite Number's Value

Instructions:

  1. Write down any three-digit number you like.
  2. Circle one of the digits in your number.
  3. Identify the place of the circled digit.
  4. Write down the value of the circled digit.

My Three-Digit Number:




Circled Digit's Place:




Circled Digit's Value:




Explain how you know the value of your circled digit:







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Where Do Numbers Live? • Lenny Learning