Mathematics Lesson Plan: Place Value
Grade Level: 6
Duration: 30 minutes
Objective
Students will understand the concept of place value in whole numbers and apply this understanding to identify the place value of digits in a number.
Materials Needed
- Whiteboard and markers
- Place value chart handouts
- Worksheets for practice
- Projector (optional for visual aids)
Standards
This lesson aligns with the Common Core State Standards for Mathematics, particularly:
- CCSS.Math.Content.6.NS.B.3: Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.
Lesson Outline
Introduction (5 minutes)
- Begin with a brief discussion of what place value is and why it is important in understanding numbers.
- Provide examples of large numbers and ask students to identify the place values of specific digits.
Direct Instruction (10 minutes)
- Definition of Place Value: Place value refers to the value of a digit based on its position within a number.
- Place Value Chart: Introduce a place value chart. Explain the values from millions down to hundredths.
- Example: In the number 5,432, the digit 5 is in the thousands place, thus it represents 5,000.
- Demonstration: Use the whiteboard to write down a 5-digit number (e.g., 87,562). Point out each digit and its corresponding place value.
Guided Practice (5 minutes)
- Display a few numbers on the board (e.g., 3,204 and 9,756).
- Ask students to work in pairs to determine the place value of underlined digits. For example, underline the 2 in 3,204 and ask them what its place value is.
- Discuss answers as a class.
Independent Practice (5 minutes)
- Distribute worksheets that include:
- Exercises identifying the place value of given digits.
- A section to write a number in expanded form.
Review and Closing (5 minutes)
- Review key concepts and clarify any questions students may have.
- Summarize the importance of understanding place value in dealing with larger numbers, decimals, and computations.
Homework Assignment
- Worksheet Tasks:
- Write the place value for the underlined digit in each number.
- 4,392 → (underline the 3)
- 27,815 → (underline the 8)
- Write the following numbers in expanded form:
Homework Answers
-
Place Value:
- 4,392 → 3 is in the hundreds place, so the value is 300.
- 27,815 → 8 is in the thousands place, so the value is 8,000.
-
Expanded Form:
- 5,643 → 5,000 + 600 + 40 + 3
- 2,019 → 2,000 + 0 + 10 + 9
Reflection
After completing the lesson, reflect on students' understanding of the material and adjust future lessons based on observed difficulties or misconceptions during the activities. Prepare additional resources or practice materials if needed.
By following this structured lesson plan, students will enhance their understanding of place value, thereby laying a solid foundation for future mathematical concepts.