Lesson Plan
Number Ninjas: Up to 100,000
Students will be able to compose and decompose numbers up to 100,000 using objects, pictorial models, and expanded notation.
Understanding how numbers are built helps us make sense of larger numbers in the real world, like populations or money. It builds a strong foundation for more complex math!
Audience
3rd Grade Students
Time
30 minutes
Approach
Hands-on activities, visual models, and guided practice.
Materials
Whiteboard or Projector, Markers/Pens, Number Ninjas Slide Deck, Base Ten Block Mats, Base Ten Blocks (up to ten thousands), Number Ninjas Worksheet, Place Value Power-Up Game, and Number Ninjas Quiz
Prep
Teacher Preparation
15 minutes
- Review the Number Ninjas Slide Deck and Number Ninjas Script.
- Print and cut out Base Ten Block Mats (one per student or pair).
- Gather enough Base Ten Blocks (units, tens, hundreds, thousands, ten thousands) for each student or pair.
- Print copies of the Number Ninjas Worksheet (one per student).
- Prepare the Place Value Power-Up Game materials.
- Prepare copies of the Number Ninjas Quiz (one per student).
Step 1
Warm-Up: Building Big
5 minutes
- Display the first slide of the Number Ninjas Slide Deck to introduce the lesson.
- Ask students to think about how we build numbers. Provide an example like 345, asking them to break it down. (e.g., 3 hundreds, 4 tens, 5 ones).
- Lead a brief discussion using the Number Ninjas Script about how place value helps us understand numbers.
Step 2
Explore: Decomposing with Blocks
10 minutes
- Distribute Base Ten Block Mats and Base Ten Blocks to each student or pair.
- Using the Number Ninjas Slide Deck, display a number (e.g., 23,456).
- Guide students to represent the number on their mats using the Base Ten Blocks, decomposing it into ten thousands, thousands, hundreds, tens, and ones.
- Circulate and provide support, encouraging students to explain their decomposition verbally.
Step 3
Practice: Expanded Notation
8 minutes
- Introduce expanded notation using the Number Ninjas Slide Deck and the Number Ninjas Script.
- Model how to write a decomposed number in expanded notation.
- Have students complete the Number Ninjas Worksheet, focusing on decomposing numbers and writing them in expanded notation.
Step 4
Game: Place Value Power-Up
5 minutes
- Introduce the Place Value Power-Up Game as a fun way to practice.
- Divide students into small groups and have them play for a few minutes.
- Briefly review key concepts as a class.
Step 5
Assessment: Quick Check Quiz
2 minutes
- Distribute the Number Ninjas Quiz.
- Allow students to complete the quiz independently as a quick check of understanding.
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Slide Deck
Welcome, Number Ninjas!
Ready to master big numbers?
Today, we'll learn to become experts at breaking apart and putting together numbers up to 100,000!
Welcome students and introduce the concept of 'Number Ninjas'. Ask them how we can break down or build numbers. Use the Number Ninjas Script for guidance.
Place Value Power
Every digit has a special job!
- Ones
- Tens
- Hundreds
- Thousands
- ...and beyond!
Review place value up to the thousands with a quick example. Emphasize that each digit has a value based on its position. Use the Number Ninjas Script to prompt discussion.
Decomposing: Breaking Numbers Down
What does it mean to decompose a number?
It means to break it down into its smaller parts, based on place value!
Let's try with: 23,456
Introduce the idea of decomposing with a larger number. Explain that we'll be using Base Ten Blocks to visualize this. Distribute Base Ten Block Mats and blocks. Use the Number Ninjas Script.
Hands-On Decomposition!
Using your Base Ten Block Mats and blocks:
- Show 2 ten thousands
- Show 3 thousands
- Show 4 hundreds
- Show 5 tens
- Show 6 ones
Guide students through representing 23,456 with Base Ten Blocks on their mats. Provide specific instructions for each place value. Refer to the Number Ninjas Script for detailed prompts.
Expanded Notation
It's a way to write a number by showing the value of each digit.
For 23,456:
20,000 + 3,000 + 400 + 50 + 6
Introduce expanded notation as a written way to show decomposition. Model an example. Use the Number Ninjas Script for the exact phrasing.
Practice Time!
Now you try!
Decompose the number 45,123 and write it in expanded notation on your worksheet.
Provide another number for students to decompose and write in expanded notation on their Number Ninjas Worksheet. Walk around and assist.
Game On: Place Value Power-Up!
Time to put your skills to the test!
Play the Place Value Power-Up Game to build and break down numbers.
Explain the Place Value Power-Up Game. Emphasize teamwork and correct decomposition. Refer to the Number Ninjas Script.
Quiz Time: Show What You Know!
Complete the Number Ninjas Quiz independently.
Show off your amazing Number Ninja skills!
Distribute the Number Ninjas Quiz and instruct students to complete it independently. Collect the quizzes when finished. Use the Number Ninjas Script for closing remarks.
Script
Number Ninjas: Up to 100,000 Script
Warm-Up: Building Big (5 minutes)
(Teacher displays the first slide: "Welcome, Number Ninjas!")
"Good morning, future Number Ninjas! Today, we're going on an exciting mission to become masters of really big numbers! Has anyone ever wondered how we build numbers, or how we can take them apart?"
"Think about a number like 345. How would you describe that number? What pieces make it up?" (Allow students to share, guiding them to say things like '3 hundreds, 4 tens, 5 ones'. If they struggle, provide hints.)
"Exactly! We use something called place value to understand what each digit in a number represents. It's like each spot has a special job. Understanding this job helps us work with even bigger numbers, like ones up to 100,000!"
Explore: Decomposing with Blocks (10 minutes)
(Teacher displays the 'Place Value Power' slide.)
"Let's review our place value positions. We have ones, tens, hundreds, thousands... and today, we're going to explore numbers all the way up to ten thousands!"
(Teacher displays the 'Decomposing: Breaking Numbers Down' slide.)
"To become true Number Ninjas, we need to learn how to decompose numbers. That means breaking them down into all their valuable pieces. It's like taking apart a LEGO castle to see all the individual bricks!"
"Let's try breaking down the number 23,456. What does that number mean? How many thousands are there? How many hundreds?"
(Teacher distributes Base Ten Block Mats and Base Ten Blocks.)
"You each have a Base Ten Block Mat and some awesome Base Ten Blocks. These blocks are going to help us 'see' these big numbers. Each type of block represents a different place value: the small cubes are ones, the long rods are tens, the flat squares are hundreds, the big cubes are thousands, and the large flats are ten thousands."
(Teacher displays the 'Hands-On Decomposition!' slide and guides students through the process.)
"Alright, Number Ninjas! Let's represent 23,456 together. Show me:
- Two of the big ten-thousand flats.
- Three of the thousand cubes.
- Four of the hundred flats.
- Five of the ten rods.
- And six of the small one cubes."
(Circulate, observe, and ask guiding questions: 'Why did you use two of the ten-thousand blocks for 23,456?' or 'Can you explain what the 3 in 23,456 represents?')
"Fantastic work, everyone! You've just decomposed 23,456 using our Base Ten Blocks."
Practice: Expanded Notation (8 minutes)
(Teacher displays the 'Expanded Notation' slide.)
"Now that we can visually break down numbers, let's learn how to write that breakdown using something called expanded notation. It's just a fancy way of writing the value of each digit as an addition problem."
"Look at our example, 23,456. In expanded notation, we write the value of each digit and add them together:
- The 2 is in the ten thousands place, so its value is 20,000.
- The 3 is in the thousands place, so its value is 3,000.
- The 4 is in the hundreds place, so its value is 400.
- The 5 is in the tens place, so its value is 50.
- The 6 is in the ones place, so its value is 6.
So, 23,456 in expanded notation is 20,000 + 3,000 + 400 + 50 + 6."
(Teacher displays the 'Practice Time!' slide.)
"It's your turn to practice! I'm handing out a Number Ninjas Worksheet. On this worksheet, I want you to decompose the number 45,123 and then write it in expanded notation. Work carefully and show your amazing Number Ninja skills!"
(Circulate and assist students as they work on the Number Ninjas Worksheet. Check for understanding and provide feedback.)
Game: Place Value Power-Up (5 minutes)
(Teacher displays the 'Game On: Place Value Power-Up!' slide.)
"Excellent effort on the worksheet, everyone! Now for a fun challenge. We're going to play the Place Value Power-Up Game! I'll divide you into small groups. Your goal is to work together to quickly compose and decompose numbers. The instructions are with your game materials. Ready, set, play!"
(Monitor groups, ensuring they understand the game and are actively participating. Offer encouragement and clarification as needed.)
Assessment: Quick Check Quiz (2 minutes)
(Teacher displays the 'Quiz Time: Show What You Know!' slide.)
"Alright, Number Ninjas, bring it back together! You've done an amazing job today. To see how much you've grown, I'm handing out a quick Number Ninjas Quiz. Please complete this quietly and independently. When you're finished, you can turn it in. This will help me see what awesome Number Ninjas you've become!"
"Remember, understanding place value helps us with so many things in life. You are all incredible learners!"
Worksheet
Number Ninjas: Decompose & Expand!
Name: ________________________
Instructions: For each number, decompose it into its place value parts AND write it in expanded notation.
Example:
Number: 15,327
Decomposition:
- 1 ten thousand
- 5 thousands
- 3 hundreds
- 2 tens
- 7 ones
Expanded Notation: 10,000 + 5,000 + 300 + 20 + 7
Practice Problems:
1. Number: 34,812
Decomposition:
- ___ ten thousands
- ___ thousands
- ___ hundreds
- ___ tens
- ___ ones
Expanded Notation:
2. Number: 9,605
Decomposition:
- ___ thousands
- ___ hundreds
- ___ tens
- ___ ones
Expanded Notation:
3. Number: 70,034
Decomposition:
- ___ ten thousands
- ___ thousands
- ___ hundreds
- ___ tens
- ___ ones
Expanded Notation:
4. Number: 52,900
Decomposition:
- ___ ten thousands
- ___ thousands
- ___ hundreds
- ___ tens
- ___ ones
Expanded Notation:
5. Number: 6,789
Decomposition:
- ___ thousands
- ___ hundreds
- ___ tens
- ___ ones
Expanded Notation:
Challenge! Number: 100,000
Decomposition:
- ___ hundred thousands
- ___ ten thousands
- ___ thousands
- ___ hundreds
- ___ tens
- ___ ones
Expanded Notation:
Activity
Base Ten Block Mats: Number Ninjas!
Name: ________________________
Instructions: Use your Base Ten Blocks to build and decompose numbers in each section.
Ten Thousands
(Represent your ten-thousand blocks here)
Thousands
(Represent your thousand blocks here)
Hundreds
(Represent your hundred blocks here)
Tens
(Represent your ten blocks here)
Ones
(Represent your one blocks here)
My Number:
Expanded Form:
Quiz
Number Ninjas Quiz
Game
Place Value Power-Up Game!
Players: 2-4 per group
Materials:
- One set of digit cards (0-9) per group
- One large sheet of paper or whiteboard per group
- Markers/Pens
- Base Ten Block Mats and Base Ten Blocks (optional, but encouraged!)
How to Play:
Objective: Be the first group to correctly compose and decompose five numbers!
Setup:
- Shuffle the digit cards and place them face down in a pile.
- Each group will have a whiteboard or large paper to write on.
Gameplay:
- Draw a Number: One player from the group draws five digit cards from the pile. These five digits will form a number up to the ten thousands place (e.g., if they draw 3, 0, 7, 1, 5, they can make 30,715 or 57,013, etc. Encourage them to try making the largest or smallest number possible with the digits for an added challenge!).
- Compose the Number: The group decides on a 5-digit number they can make with the cards and writes it clearly on their paper/whiteboard.
- Decompose and Expand: Together, the group must:
- Decompose the number into its place value parts (e.g., 3 ten thousands, 0 thousands, 7 hundreds, 1 ten, 5 ones).
- Write the number in expanded notation (e.g., 30,000 + 700 + 10 + 5).
- (Optional Challenge: Use Base Ten Block Mats and blocks to build the number!)
- Check for Accuracy: Once completed, another group or the teacher can quickly check their work. If correct, they earn a point!
- New Round: The cards are shuffled back into the pile, and the next player draws five new cards to start a new round.
Winning: The first group to earn 5 points by correctly composing, decomposing, and expanding five different numbers wins the Place Value Power-Up Game!
Discussion Questions for During/After the Game:
- "What was the trickiest part about decomposing the numbers?"
- "How did writing in expanded notation help you understand the value of each digit?"
- "Why is it important to know how to break apart big numbers?"
Answer Key
Number Ninjas: Decompose & Expand! Answer Key
Practice Problems:
1. Number: 34,812
Decomposition:
- 3 ten thousands
- 4 thousands
- 8 hundreds
- 1 ten
- 2 ones
Expanded Notation: 30,000 + 4,000 + 800 + 10 + 2
2. Number: 9,605
Decomposition:
- 9 thousands
- 6 hundreds
- 0 tens
- 5 ones
Expanded Notation: 9,000 + 600 + 5
3. Number: 70,034
Decomposition:
- 7 ten thousands
- 0 thousands
- 0 hundreds
- 3 tens
- 4 ones
Expanded Notation: 70,000 + 30 + 4
4. Number: 52,900
Decomposition:
- 5 ten thousands
- 2 thousands
- 9 hundreds
- 0 tens
- 0 ones
Expanded Notation: 50,000 + 2,000 + 900
5. Number: 6,789
Decomposition:
- 6 thousands
- 7 hundreds
- 8 tens
- 9 ones
Expanded Notation: 6,000 + 700 + 80 + 9
Challenge! Number: 100,000
Decomposition:
- 1 hundred thousand
- 0 ten thousands
- 0 thousands
- 0 hundreds
- 0 tens
- 0 ones
Expanded Notation: 100,000
Answer Key
Number Ninjas Quiz Answer Key
1. Which of the following shows the number 54,321 decomposed correctly?
- Correct Answer: D) Both B and C
- Explanation: Option B correctly breaks down the number into its place value parts: 5 ten thousands, 4 thousands, 3 hundreds, 2 tens, 1 one. Option C correctly shows the expanded notation: 50,000 + 4,000 + 300 + 20 + 1. Therefore, both are correct ways to show the decomposition.
2. Decompose the number 78,049 into its place value parts.
- Decomposition:
- 7 ten thousands
- 8 thousands
- 0 hundreds
- 4 tens
- 9 ones
3. What is the expanded notation for the number 92,503?
- Correct Answer: A) 90,000 + 2,000 + 500 + 3
- Explanation: The 9 is in the ten thousands place (90,000), the 2 is in the thousands place (2,000), the 5 is in the hundreds place (500), there are 0 tens, and the 3 is in the ones place (3).
4. A number has:
- 6 ten thousands
- 1 thousand
- 0 hundreds
- 8 tens
- 2 ones
What is the number? Write it in standard form and expanded notation.
- Standard Form: 61,082
- Expanded Notation: 60,000 + 1,000 + 80 + 2
5. The number 30,000 + 5,000 + 70 + 4 represents which number?
- Correct Answer: B) 35,074
- Explanation: Combining the place values: 30,000 (three ten thousands), 5,000 (five thousands), 70 (seven tens), and 4 (four ones) gives the number 35,074.