Lesson Plan
Place Value Intervention
Students will strengthen understanding of place value up to the hundred-thousands place by decoding and representing multi-digit numbers with base-ten blocks and completing targeted task cards and an exit ticket.
Mastery of place value is critical for number sense, operations, and future math topics. This focused Tier 2 intervention fills gaps, builds confidence, and readies students for grade-level work.
Audience
4th Grade
Time
15 minutes
Approach
Hands-on task cards and quick checks with base-ten blocks.
Materials
Place Value Task Cards, Place Value Exit Ticket, and Base-Ten Blocks
Prep
Prepare Materials
5 minutes
- Print and cut out enough Place Value Task Cards for each student station.
- Make copies of the Place Value Exit Ticket (one per student).
- Gather a set of Base-Ten Blocks for each pair or small group of students.
- Review task card answers and exit ticket solutions before the session.
Step 1
Warm-Up: Number of the Day
3 minutes
- Write a 6-digit number (e.g., 374,529) on the board.
- Ask students to identify each digit’s place and value (e.g., the '7' is in the ten-thousands place).
- Have students say the number aloud and write it in expanded form.
Step 2
Core Activity: Task Card Stations
9 minutes
- Divide students into pairs and assign each a set of Place Value Task Cards.
- At each station, students take turns: one reads a card, the other builds the number with Base-Ten Blocks and records the value of each digit on a response sheet.
- Circulate to prompt with questions (“How many tens? How many hundred-thousands?”) and correct misconceptions.
- After 4 minutes, pairs rotate cards to practice different numbers.
Step 3
Exit Check: Exit Ticket
3 minutes
- Distribute the Place Value Exit Ticket.
- Students complete two problems: decode a written number into digits and represent a digit’s value in an example.
- Collect tickets to quickly assess who needs further support.
Slide Deck
Digging Deep: Place Values
• Objective: Strengthen understanding of place value up to the hundred-thousands place
• Time: 15 minutes (Tier 2 small-group intervention)
• Materials: Base-Ten Blocks, Place Value Task Cards, Place Value Exit Ticket
Welcome the students and introduce today’s focus on place value up to the hundred-thousands place. Explain that this 15-minute session will help them decode, represent, and understand multi-digit numbers. Highlight why this matters for future math success.
Warm-Up: Number of the Day
Number of the Day: 374,529
- Identify each digit’s place and its value (e.g., 7 in the ten-thousands place = 70,000)
- Say the whole number aloud
- Write it in expanded form: 300,000 + 70,000 + 4,000 + 500 + 20 + 9
Write the number 374,529 in large font or display it visually. Ask volunteers to come up and point to each digit as you call it out. Model saying the number aloud and writing it in expanded form.
Core Activity: Task Card Stations
• Divide into pairs and take a set of Place Value Task Cards
• Take turns: read the card, then build the number with Base-Ten Blocks
• Record the value of each digit on your response sheet
• Rotate to a new card every 4 minutes
• Teacher circulates to prompt and correct misconceptions
Explain the station routine, pairing students, and distributing one set of task cards per pair. Emphasize that one student reads the card while the other builds the number, then they switch roles. Circulate and ask probing questions.
Example: Building 374,529 with Base-Ten Blocks
Number: 374,529
| Digit | Place | Value | Blocks Needed |
|---|---|---|---|
| 3 | Hundred-thousands | 300,000 | 3 × 100,000 blocks |
| 7 | Ten-thousands | 70,000 | 7 × 10,000 flats |
| 4 | Thousands | 4,000 | 4 × 1,000 rods |
| 5 | Hundreds | 500 | 5 × 100 flats |
| 2 | Tens | 20 | 2 × 10 rods |
| 9 | Ones | 9 | 9 × 1 cubes |
Display this example prominently. Talk through each row: the digit, its place, its numeric value, and the count of blocks used. Reinforce how base-ten blocks represent each place.
Exit Check: Exit Ticket
Distribute the Place Value Exit Ticket
Tasks:
- Decode the written number into digits and label each place value.
- Show the value of a specified digit using base-ten block drawings.
Collect when done for quick assessment.
Hand out the exit tickets. Remind students they have 3 minutes to complete both problems. Collect the tickets to gauge who needs additional support.
Worksheet
Place Value Task Cards
Use Base-Ten Blocks to build each number. Then complete the table by identifying each digit’s place and its value.
Task Card 1
Number: 436,219
| Digit | Place | Value |
|---|---|---|
| 4 | ||
| 3 | ||
| 6 | ||
| 2 | ||
| 1 | ||
| 9 |
Task Card 2
Number: 582,307
| Digit | Place | Value |
|---|---|---|
| 5 | ||
| 8 | ||
| 2 | ||
| 3 | ||
| 0 | ||
| 7 |
Task Card 3
Number: 149,056
| Digit | Place | Value |
|---|---|---|
| 1 | ||
| 4 | ||
| 9 | ||
| 0 | ||
| 5 | ||
| 6 |
Task Card 4
Number: 703,412
| Digit | Place | Value |
|---|---|---|
| 7 | ||
| 0 | ||
| 3 | ||
| 4 | ||
| 1 | ||
| 2 |
Task Card 5
Number: 261,905
| Digit | Place | Value |
|---|---|---|
| 2 | ||
| 6 | ||
| 1 | ||
| 9 | ||
| 0 | ||
| 5 |
Task Card 6
Number: 894,136
| Digit | Place | Value |
|---|---|---|
| 8 | ||
| 9 | ||
| 4 | ||
| 1 | ||
| 3 | ||
| 6 |
Task Card 7
Number: 350,278
| Digit | Place | Value |
|---|---|---|
| 3 | ||
| 5 | ||
| 0 | ||
| 2 | ||
| 7 | ||
| 8 |
Task Card 8
Number: 127,564
| Digit | Place | Value |
|---|---|---|
| 1 | ||
| 2 | ||
| 7 | ||
| 5 | ||
| 6 | ||
| 4 |
Worksheet
Place Value Exit Ticket
Name: __________________ Date: ________________
Task 1: Decode and Label
Write the number eight hundred twenty-three thousand, five hundred seven in digits. Then complete the table by identifying each digit’s place and its value.
Number in digits: ________________________________
| Digit | Place | Value |
|---|---|---|
| 8 | ||
| 2 | ||
| 3 | ||
| 5 | ||
| 0 | ||
| 7 |
Task 2: Base-Ten Block Drawing
For the digit 2 in the number 823,507 (the ten-thousands place), draw the base-ten block representation below. Label your flats, rods, and cubes. Then write the value in numbers and words.
Value (numeric): __________________________
Value (in words): __________________________
Answer Key
Place Value Answer Key
This answer key provides step-by-step reasoning and solutions for the Place Value Task Cards and the Place Value Exit Ticket.
How to Determine Place and Value
For any 6-digit number, label places from left to right as:
- Hundred-Thousands (×100,000)
- Ten-Thousands (×10,000)
- Thousands (×1,000)
- Hundreds (×100)
- Tens (×10)
- Ones (×1)
To find each digit’s value, multiply the digit by the place-value multiplier.
Task Card Answers
Task Card 1: Number 436,219
Step-by-step: There are six digits, so assign from left to right.
| Digit | Place | Value |
|---|---|---|
| 4 | Hundred-Thousands | 400,000 |
| 3 | Ten-Thousands | 30,000 |
| 6 | Thousands | 6,000 |
| 2 | Hundreds | 200 |
| 1 | Tens | 10 |
| 9 | Ones | 9 |
Task Card 2: Number 582,307
| Digit | Place | Value |
|---|---|---|
| 5 | Hundred-Thousands | 500,000 |
| 8 | Ten-Thousands | 80,000 |
| 2 | Thousands | 2,000 |
| 3 | Hundreds | 300 |
| 0 | Tens | 0 |
| 7 | Ones | 7 |
Task Card 3: Number 149,056
| Digit | Place | Value |
|---|---|---|
| 1 | Hundred-Thousands | 100,000 |
| 4 | Ten-Thousands | 40,000 |
| 9 | Thousands | 9,000 |
| 0 | Hundreds | 0 |
| 5 | Tens | 50 |
| 6 | Ones | 6 |
Task Card 4: Number 703,412
| Digit | Place | Value |
|---|---|---|
| 7 | Hundred-Thousands | 700,000 |
| 0 | Ten-Thousands | 0 |
| 3 | Thousands | 3,000 |
| 4 | Hundreds | 400 |
| 1 | Tens | 10 |
| 2 | Ones | 2 |
Task Card 5: Number 261,905
| Digit | Place | Value |
|---|---|---|
| 2 | Hundred-Thousands | 200,000 |
| 6 | Ten-Thousands | 60,000 |
| 1 | Thousands | 1,000 |
| 9 | Hundreds | 900 |
| 0 | Tens | 0 |
| 5 | Ones | 5 |
Task Card 6: Number 894,136
| Digit | Place | Value |
|---|---|---|
| 8 | Hundred-Thousands | 800,000 |
| 9 | Ten-Thousands | 90,000 |
| 4 | Thousands | 4,000 |
| 1 | Hundreds | 100 |
| 3 | Tens | 30 |
| 6 | Ones | 6 |
Task Card 7: Number 350,278
| Digit | Place | Value |
|---|---|---|
| 3 | Hundred-Thousands | 300,000 |
| 5 | Ten-Thousands | 50,000 |
| 0 | Thousands | 0 |
| 2 | Hundreds | 200 |
| 7 | Tens | 70 |
| 8 | Ones | 8 |
Task Card 8: Number 127,564
| Digit | Place | Value |
|---|---|---|
| 1 | Hundred-Thousands | 100,000 |
| 2 | Ten-Thousands | 20,000 |
| 7 | Thousands | 7,000 |
| 5 | Hundreds | 500 |
| 6 | Tens | 60 |
| 4 | Ones | 4 |
Exit Ticket Answer Key
Task 1: Decode and Label
Question: Write “eight hundred twenty-three thousand, five hundred seven” in digits, then label each digit’s place and value.
Solution: 823,507
| Digit | Place | Value |
|---|---|---|
| 8 | Hundred-Thousands | 800,000 |
| 2 | Ten-Thousands | 20,000 |
| 3 | Thousands | 3,000 |
| 5 | Hundreds | 500 |
| 0 | Tens | 0 |
| 7 | Ones | 7 |
Reasoning: Identify six digits in the number. From left to right, assign each digit its place value and multiply.
Task 2: Base-Ten Block Drawing
Question: For the digit 2 in 823,507 (the ten-thousands place), draw the base-ten block representation, label flats/rods/cubes, then write the value in numbers and words.
Solution and Reasoning:
- The digit 2 is in the ten-thousands place.
- Ten-thousands are represented by flats (each flat = 10,000).
- Draw: Two flats, each labeled “10,000.”
Value (numeric): 20,000
Value (in words): twenty thousand
Step-by-Step:
- Locate the digit “2” in 823,507 → it’s in the ten-thousands column.
- Determine block type → flats represent 10,000s.
- Count flats needed → 2 × 10,000 = 20,000.
- Label each flat and write the numeric/word form of the total.
This completes the full answer key with step-by-step reasoning for teacher guidance or student review.