Lesson Plan: Place Value in Mathematics
Grade Level
Grade 3
Subject
Mathematics
Duration
30 minutes
Learning Objectives
By the end of this lesson, students will be able to:
- Understand the concept of place value in three-digit numbers.
- Identify the value of each digit in a number.
- Decompose and compose numbers using place value.
Materials Needed
- Whiteboard and markers
- Place value chart (printed handouts)
- Base ten blocks
- Worksheets for practice
- Pencils
Introduction (5 minutes)
- Begin the lesson by asking students what they know about numbers. Write a few examples on the board (e.g., 157, 304).
- Introduce the topic of place value, explaining that every digit in a number has a value based on its position.
Direct Instruction (10 minutes)
-
Present the place value chart for numbers up to 1,000:
-
Explain each place:
- The hundreds place represents groups of 100.
- The tens place represents groups of 10.
- The ones place represents single units.
-
Use a number from the board (e.g., 304):
- Ask students to identify the value of each digit.
- Break down 304:
- 3 in the hundreds place = 300
- 0 in the tens place = 0
- 4 in the ones place = 4
- Reinforce by writing the expanded form: 300 + 0 + 4.
-
Demonstrate with base ten blocks how to represent numbers visually.
Guided Practice (10 minutes)
-
Distribute the place value charts and base ten blocks to the students.
-
Provide the number 246 and guide students:
- Have them identify the digits and write their values.
- Ask them to build the number with base ten blocks and explain their process to a partner.
-
Walk around the classroom, assisting and encouraging discussion among students.
Independent Practice (3 minutes)
Closure (2 minutes)
- Recap the concept of place value and the importance of understanding how numbers are built.
- Ask a few students to share their answers from the worksheet.
- Reinforce that being able to break numbers apart helps in understanding math operations, such as addition and subtraction.
Assessment
- Monitor students during guided practice to assess understanding.
- Review the completed worksheets to evaluate individual student comprehension.
Extensions
-
For students who grasp the concept quickly, provide challenges such as:
- Creating their own numbers and asking classmates to find the expanded form.
-
For students needing support, offer additional manipulatives or one-on-one assistance with smaller numbers.
By following this lesson plan, students will enhance their understanding of place value, which is foundational for their future studies in mathematics.