Mathematics Lesson Plan: Place Value
Grade Level
3rd Grade
Duration
30 Minutes
Topic
Place Value
Objectives
By the end of this lesson, students will be able to:
- Understand the concept of place value up to the thousands.
- Identify the value of each digit in a multi-digit number.
- Compare and order numbers based on their place value.
Materials Needed
- Whiteboard and markers
- Place value chart
- Base ten blocks (optional)
- Worksheets for practice
- Homework sheets
Introduction (5 minutes)
- Begin the lesson by asking students what they know about numbers and their values.
- Briefly introduce the concept of place value, explaining that the position of a digit in a number determines its value.
- Show students a place value chart, highlighting the ones, tens, hundreds, and thousands places.
Direct Instruction (10 minutes)
-
Explain Place Value
- Write a 4-digit number on the board (e.g., 3,572).
- Identify each digit's place and its value:
- 3 is in the thousands place (3,000)
- 5 is in the hundreds place (500)
- 7 is in the tens place (70)
- 2 is in the ones place (2)
-
Base Ten Blocks (Optional)
- If available, use base ten blocks to visually represent the number 3,572.
- Show how groups of ten (for tens and hundreds) and stacks of ten groups can help understand larger numbers.
-
Comparing Numbers
- Explain how to compare numbers using place value. For example, when comparing 2,356 and 2,476, focus on the thousands place first, then hundreds, then tens.
Guided Practice (10 minutes)
-
Interactive Exercise
- Have students work in pairs. Provide each pair with different 4-digit numbers.
- Ask them to identify the value of each digit and write it out using place value terms (e.g., in 2,634, the 6 represents 600).
-
Comparison Activity
- Write two different 4-digit numbers on the board. Ask students to compare them using greater than (>), less than (<), or equal to (=).
- Example: Compare 3,412 and 3,124. Students should identify that 3,412 > 3,124.
Independent Practice (5 minutes)
- Distribute a worksheet with various 4-digit numbers.
- Tasks should include:
- Identifying the place value of specific digits.
- Writing the number in expanded form.
- Comparing pairs of numbers.
Conclusion (5 minutes)
- Recap the main points about place value.
- Ask students why understanding place value is important in mathematics.
- Encourage students to share any questions they might have.
Homework Assignment
Tasks
-
Write the following numbers in expanded form:
- a) 4,583
- b) 2,193
- c) 7,620
-
For each digit in the number 9,832, state the place and value of:
-
Compare the following pairs of numbers:
- a) 5,645 and 5,467
- b) 2,018 and 2,080
Correct Answers
-
Expanded Form:
- a) 4,000 + 500 + 80 + 3
- b) 2,000 + 100 + 90 + 3
- c) 7,000 + 600 + 20 + 0
-
Place and Value:
- 9: Thousands place (9,000)
- 8: Hundreds place (800)
- 3: Tens place (30)
- 2: Ones place (2)
-
Comparisons:
- a) 5,645 > 5,467
- b) 2,018 < 2,080
End of Lesson Plan