Place Value Shift Slides
Grade 4 • NC.4.NBT.1
Place Value
Shift
Discover how digits change their power by 10x and 1/10th just by moving to a new spot!
I Can Statement I can explain how a digit's value changes when it moves within a number.
Day 2 of 2
WARM-UP
Place Value Pop Challenge
Whiteboards Ready!
Observe the Number
62,458
Ten Th Th H T O
1
What digit is in the thousands place?
2
What is the value of the 4?
3
Which digit is worth 10 times more than the 5?
4
Which digit is worth one-tenth the value of the 6?
Write your answers quickly on whiteboards and hold them up!
TURN & TALK
Who is Correct?
Collaborate with a Partner
Student A
A
Looking at 62,458...
"The value of the 2 is 2 because it's just a digit 2!"
Student B
B
Looking at 62,458...
"The value of the 2 is 2,000 because of its location!"
Teacher Pro-Tip
"Mathematicians must prove their answers, not just state them. Who is correct? Prove it with evidence!"
ESSENTIAL LESSON
Place vs. Value
EQ: What is the difference between place and value?
PLACE
Where a digit sits
The physical room or column in the number chart (e.g., Thousands, Tens).
VALUE
How much it's worth
The numeric weight of that digit because of its place (e.g., 4,000, 50).
Example Number: 4,356
| Digit | Place (Location) | Value (Worth) |
|---|
| 4 | Thousands | 4,000 |
| 3 | Hundreds | 300 |
| 5 | Tens | 50 |
| 6 | Ones | 6 |
💡 Teacher Says: "The digit never changes. Its location changes, and that changes its value!"
INVESTIGATE
Mathematical Investigation
Analyze Closely
Number A
8,432
Number B
4,832
1
Did the digit 8 change?
Look closely at the symbols used in both numbers. Are they identical?
2
Did its value change?
Is an "8" worth the same amount in both of these spots? Why or why not?
3
Why?
Describe the math rule that governs this movement. Prepare to share!
I DO (MODELING)
Modeling: 8,432
Break down the number
Expanded Form
Breaking down a number to show the independent value of each digit:
8,000
+ 400
+ 30
+ 2
Base-10 Blocks Visualization
Each place represents a physical quantity:
8
Thousands Cubes 8 giant cubes of 1,000 individual blocks each
4
Hundreds Flats 4 flat sheets containing 100 blocks each
3
Tens Rods 3 vertical rods holding 10 blocks each
Teacher Think-Aloud: "The 8 is in the thousands place. Its value is exactly 8,000."
I DO (MODELING)
Let's Move the Digit 8!
Place Value Shift
Original Position
8,432
Value = 8,000
Shift Right
New Position
4,832
Value = 800
How did the value change?
8,000 ÷ 10 = 800
The digit stayed the same, but its place changed to the right. It became one-tenth (\(1/10\)) as much as its original value!
🧠 DOK 3 Challenge: Could a digit stay the same while its value changes? Why or why not? Explain!
ERROR ANALYSIS
Spot the Mistake!
Common Misconception
A student says:
"The place of the 5 in 45,372 is 50."
Place is Location
The actual place is: Thousands
Value is Worth
The actual value is: 5,000
💬 Class Talk: Why do you think students often confuse a digit's place with its value? How can we remember the difference?
CHECK FOR UNDERSTANDING
Your Turn to Shine!
Prove Your Knowledge
Examine the Number 72,561
A Identify Place
What is the place of the 2?
B Identify Value
What is the value of the 2?
C Analyze Relation
How is the value of the 7 related to the 2?
D Mathematical Vocabulary
Sentence Frame: "The digit ___ is in the ___ place, so its value is ___."
Be ready to explain your thinking out loud to the class!
WE DO
Value Switch-Up!
Partner Activity
Partner Materials:
- Digit Cards
- Place Value Charts
- Recording Sheets
STEP 1
Build the target number called:
53,814
STEP 2
Teacher Says:
The Challenge
"Move the 8 to the thousands place!"
Predict with your partner:
New Number? 58,314
New Value of 8? 8,000
🗣️ Mathematical Discussion: What changed? What stayed the same? Why?
GUIDED PRACTICE
EOG Multi-Part Practice
Standard Prep
Examine the Number 84,623
PART A
Which statement is true?
A. The value of the 6 is 6.
B. The value of the 6 is 60.
C. The value of the 6 is 600.
D. The value of the 6 is 6,000.
PART B
The value of the 8 is how many times greater than the value of the 4?
20 Times 80,000 is exactly twenty times 4,000.
(Note: The ten-thousands place is 10 times the thousands place!)
💡 Part D Challenge: A student says, "The value of the 4 is 4." Why is this statement incorrect?
MATH TALK
Compare and Discuss
Collaborative Thinking
Number 1
45,326
Number 2
54,326
Discussion Prompts:
1
Which digits changed places between Number 1 and Number 2?
2
Which numeric values changed? How do you know?
3
Did the digit shapes themselves change? Explain.
4
How did the total number change? (Which is larger and by how much?)
SMALL GROUPS
Workshop & Guided Practice
Differentiated Learning
Intervention Station
Place Value Discovery
Use concrete materials:
- Place Value Disks
- Base Ten Blocks
- Place Value Mats
Teacher prompt questions:
- • "Where is the digit?"
- • "What is its place name?"
- • "What is its numeric value?"
Enrichment Station
Build the Largest Number
Receive digit cards: 2, 4, 6, 7, 9
Task 1: Build the largest possible number.
Task 2: Build the smallest possible number.
Task 3: Move one digit to make it exactly 10x larger.
Collaborate respectfully and critique each other's mathematical reasoning!
CLOSURE
Reflect and Review
Ready for Assessment
Finish these statements with your partner:
"The place of a digit tells us..."
"The value of a digit tells us..."
"The same digit can have different values because..."
📢 Prepare for Exit Ticket: Think about how you feel about your learning today!
Place Value Shift Homework
Independent Practice • NC.4.NBT.1
Place Value Shift Homework
Name:
Date:
Quick Review: Place vs. Value Place is where a digit sits. Value is how much a digit is worth.
93,614
1
Digit Breakdown Table
Complete the table for each digit in the number 93,614.
| Digit | Place (Location) | Value (Numeric Worth) |
|---|
| 9 | | |
| 3 | | |
| 6 | | |
| 1 | | |
| 4 | | |
2
Comparison & Shift Analysis
A. Compare the values of the 6 and the 1 in 93,614. How are their values related?
B. Which place represents exactly one-tenth (\(1/10\)) of the value of the ten-thousands place? Which digit sits in that place?
3
Mathematician's Argument (DOK 3)
Student A: "The place tells where a digit sits."
Student B: "The value tells how much it is worth."
Student C: "Place and value mean the exact same thing."
Who is correct? Explain why they are correct using a custom example.
4
Place Value Puzzle Challenge
Create a 5-digit number that meets the following rules:
Rule 1 One digit has a value of 5,000
Rule 2 Another digit has a value of 50
Rule 3 Another digit has a value of 8
Your 5-Digit Number _ _, _ _ _
Explain why each digit's value in your number is correct:
Place Value Shift Exit Ticket Key
TEACHER ANSWER KEY • NC.4.NBT.1
Exit Ticket Answer Key
Total Points: 10 Pts
Passing Score: 8/10 Pts
Reference Number: 25,468
2pt
PART A
What is the place of the digit 5?
A Hundreds
B. Thousands
C Tens
D Ten Thousands
2pt
PART B
What is the value of the digit 5?
A 5
B 50
C 500
D. 5,000
2pt
PART C Teacher Insight Below
Which digit has a value that is one-tenth (\(1/10\)) the value of the 5?
A 2
B. 4
C 6
D 8
💡 Math Note: The 5 represents 5,000 (thousands place). One-tenth of 5,000 is 500 (hundreds place). In the number 25,468, the digit in the hundreds place is 4 (value of 400). Standard curriculum links the places themselves: the place of 4 is one-tenth the place of 5.
4pt
PART D • MODEL RESPONSE Scoring Guide
Explain the difference between place and value using the number 25,468:
Model Answer: A digit's place is where it sits in a number (location), but its value is how much it is worth based on that location. In 25,468, the digit 5 sits in the thousands place, so its value is 5,000.
The digit 4 sits in the hundreds place, which represents one-tenth (\(1/10\)) of the thousands place. If the 5 moved one place to the left (ten-thousands), its value would be ten times greater (50,000).
✓ Includes all 5 vocab words (2pt) ✓ Clearly differentiates place/value (2pt)
Review student self-assessments below to form targeted intervention groups!
Formative Data Tool
Place Value Shift Homework Key
TEACHER ANSWER KEY • NC.4.NBT.1
Homework Answer Key
Total Points: 10 Pts
Grading Style: Points Block
Key Guidelines Correct responses are listed in crimson/red red text. Accept variations that are mathematically sound.
93,614
2pt
1
Digit Breakdown Table (Completed)
| Digit | Place (Location) | Value (Numeric Worth) |
|---|
| 9 | Ten Thousands | 90,000 |
| 3 | Thousands | 3,000 |
| 6 | Hundreds | 600 |
| 1 | Tens | 10 |
| 4 | Ones | 4 |
3pt
2
Comparison & Shift Analysis
A. Compare the values of the 6 and the 1 in 93,614. How are their values related?
The digit 6 has a value of 600 (hundreds place) and the 1 has a value of 10 (tens place). The hundreds place is ten times greater than the tens place. The actual value of 600 is sixty times (60x) the value of 10.
B. Which place represents exactly one-tenth (\(1/10\)) of the value of the ten-thousands place? Which digit sits in that place?
The thousands place is exactly one-tenth (\(1/10\)) of the ten-thousands place. In 93,614, the digit 3 is in the thousands place (worth 3,000).
2pt
3
Mathematician's Argument (DOK 3)
Student A: "The place tells where a digit sits."
Student B: "The value tells how much it is worth."
Student C: "Place and value mean the exact same thing."
Who is correct? Explain why they are correct using a custom example.
Students A and B are correct. Student C is incorrect. For example, in 53 and 35, the digit 5 changed its place (from tens to ones), which also completely changed its value (from 50 to 5). They are related, but not the same thing.
3pt
4
Place Value Puzzle Challenge
Create a 5-digit number that meets the following rules:
Rule 1 Digit worth 5,000 (Thousands)
Rule 2 Digit worth 50 (Tens Place)
Rule 3 Digit worth 8 (Ones Place)
Example Number 25,658
Grading criteria: Any 5-digit number matching _ 5, _ 5 8 (e.g. 15,258 or 75,958) is correct. The digit 5 must sit in thousands (Rule 1) and tens (Rule 2). The digit 8 must sit in ones (Rule 3).
