Lesson Plan: Representing/Partitioning Numbers to 10,000
Subject: Mathematics
Grade Level: Year 3
Duration: 40 minutes
Objective
Students will learn how to partition and represent numbers up to 10,000. They will also engage in activities that enhance their understanding of place value and number representation.
Materials Needed
- Whiteboard and markers
- Pencils and erasers
- Base ten blocks
- Worksheets with number partitioning exercises
- Chart paper
- Colored markers
Introduction (10 minutes)
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Hook the Students:
- Ask students how many digits are in the number 2,345. Encourage them to share their thoughts on what makes up the number (thousands, hundreds, tens, and units).
- Display a large number such as 4,567 on the board.
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Discussion:
- Discuss the concept of place value, emphasizing each digit's value based on its position in the number.
- Introduce the term "partitioning" and explain that partitioning means breaking a number down into smaller parts.
Direct Instruction (10 minutes)
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Demonstration Using Base Ten Blocks:
- Use base ten blocks to represent the number 8,234. Show how to represent thousands (using large blocks), hundreds (using medium blocks), tens (using small blocks), and ones (using single units).
- As you group the blocks, explain what partitioning looks like visually.
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Chart Paper Activity:
- Create a chart on the whiteboard with a number in the first column and its partitioned values in the other columns.
Example:
| Number | Thousands | Hundreds | Tens | Ones |
|--------|-----------|----------|------|------|
| 8,234 | 8 | 2 | 3 | 4 |
Guided Practice (10 minutes)
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Partner Work:
- Divide students into pairs and give them a selection of numbers (up to 10,000) on slips of paper.
- Each pair should use base ten blocks to partition their number and then create a similar chart like the one demonstrated.
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Check for Understanding:
- Walk around and assess how well each pair understands the concept. Provide assistance as needed.
Independent Practice (5 minutes)
- Worksheets:
- Give each student a worksheet that includes various numbers between 1,000 and 10,000 for them to partition individually.
- Include a mix of straightforward and some challenging numbers for higher learners to work through.
Challenges for Higher Learners
- Ask them to represent numbers using addition (e.g., express 5,678 as 5,000 + 600 + 70 + 8).
- Have them convert the partitioning into a word problem and come up with a real-world scenario using the number they've partitioned.
Conclusion (5 minutes)
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Recap:
- Gather students and discuss what they learned about partitioning numbers.
- Reinforce how understanding place values helps in breaking down larger numbers.
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Exit Ticket:
- Have each student write down one number they've learned to partition today and their favorite thing about the lesson.
Assessment
- Observe students during pair work and independent practice to evaluate their understanding.
- Collect worksheets to assess both accuracy and method of partitioning.
Images for Inclusion
The image of a colorful set of base ten blocks arranged to form the numbers 8,234, with large blocks for thousands, medium blocks for hundreds, small blocks for tens, and single units for ones.
The image of a whiteboard displaying a filled-out chart that demonstrates the partitioning of numbers, including various examples.
The image of a child working collaboratively with a partner, using base ten blocks to partition numbers on their desk, reflecting teamwork in understanding maths concepts.