### Lesson Plan: Addition and Subtraction of Four-Digit Numbers
#### Grade:
4
#### Subject:
Mathematics
#### Topic:
Addition and Subtraction (Four-Digit Numbers)
#### Duration:
1 Hour
---
### Objectives:
- Students will understand how to add and subtract four-digit numbers with and without regrouping.
- Students will improve their problem-solving skills and ability to check their work.
- Students will apply addition and subtraction skills to solve practical problems.
### Materials Needed:
- Whiteboard and markers
- Projector and computer or printed worksheets
- Number cards
- Base-ten blocks or place value charts
- Student notebooks and pencils
- Erasers
### Standards:
Align with Common Core State Standards (CCSS) for Mathematics:
- CCSS.MATH.CONTENT.4.NBT.B.4
- Perform multi-digit arithmetic.
---
### Introduction (10 minutes):
1. **Greetings and Warm-Up Activity:**
- Begin with a quick mental math warm-up to get students thinking about numbers. For example: “What’s 50+30?” or “What’s 100-35?”
2. **Objective Sharing:**
- Clearly state the objectives of the lesson: "Today, we will learn how to add and subtract four-digit numbers with and without regrouping. By the end of the lesson, you will be able to solve problems involving large numbers and check your work accurately."
---
### Instructional Input (15 minutes):
1. **Addition with Four-Digit Numbers:**
- Demonstrate adding two four-digit numbers on the whiteboard, showing the step-by-step process.
- Example:
```
2345
+ 5678
------
```
- Discuss the importance of aligning numbers by place value (ones, tens, hundreds, thousands).
- Emphasize the concept of regrouping (carrying over) when sums exceed 9.
2. **Subtraction with Four-Digit Numbers:**
- Demonstrate subtracting one four-digit number from another.
- Example:
```
6789
- 2345
------
```
- Explain how to borrow from the next place value when needed.
3. **Use of Visual Aids:**
- Utilize base-ten blocks or place value charts to visually represent the addition and subtraction process.
---
### Guided Practice (15 minutes):
1. **Interactive Whiteboard Activity:**
- Solve a few examples together as a class. Call on different students to come up and contribute to the solution process.
- Example Problems:
- Addition: 4123 + 2567
- Subtraction: 6543 - 3210
2. **Pair Activity:**
- Have students pair up and provide each pair with several problems to solve together. Walk around the classroom to offer assistance and ensure students are following the correct steps.
- Encourage pairs to check each other’s work.
---
### Independent Practice (10 minutes):
1. **Worksheet:**
- Hand out worksheets with a mix of addition and subtraction problems involving four-digit numbers.
- Examples on the worksheet:
- 3456 + 2897
- 5067 - 1345
- Ask students to work independently and show all their work.
---
### Closing (10 minutes):
1. **Review and Recap:**
- Review the problems on the worksheet with the class, discussing common mistakes and how to correct them.
- Recap the key points from the lesson:
- Aligning numbers by place value.
- Regrouping in addition and borrowing in subtraction.
2. **Exit Ticket:**
- Provide a simple problem for students to solve as an exit ticket to quickly assess their understanding before they leave.
- Example:
- Add: 5278 + 3491
- Subtract: 8076 - 2564
---
### Assessment:
- Monitor student participation and understanding during the guided practice.
- Evaluate the worksheets for accuracy and understanding of the concepts.
- Review exit tickets to gauge individual student comprehension.
---
### Differentiation:
- **For Advanced Learners:**
- Provide more challenging problems that involve multiple regrouping steps.
- **For Struggling Learners:**
- Offer additional visual aids and step-by-step checklists. Pair these students with a peer mentor for support.
---
### Homework:
- Assign a few additional problems for practice to reinforce the day’s lesson.
By following this lesson plan, students will gain a solid understanding of adding and subtracting four-digit numbers, equipping them with essential arithmetic skills for future mathematical concepts.