Lesson Plan: Understanding Place Value (TEKS 5.3K)
Subject: Mathematics
Grade Level: 5
Duration: 30 Minutes
Objectives
- Students will understand the concept of place value for whole numbers up to millions.
- Students will be able to identify the value of a digit based on its position within a number.
Materials Needed
- Whiteboard and markers
- Place value chart (printed or drawn)
- Worksheet with practice problems
- Pencils
- Interactive place value games (optional)
Lesson Outline
I. Introduction (5 Minutes)
- Engage Students: Ask students what they know about place value. Write responses on the whiteboard.
- Introduce Vocabulary: Explain key terms such as "digit," "place," "value," and "thousands."
II. Direct Instruction (10 Minutes)
-
Place Value Chart Explanation:
- Draw a place value chart on the board with the following columns:
- Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones
- Explain how each column represents a different value.
-
Example
- Write a large number on the board (e.g., 3,456,789) and break down the value of each digit:
- 3 = 3 million
- 4 = 400,000
- 5 = 50,000
- 6 = 6,000
- 7 = 700
- 8 = 80
- 9 = 9
III. Guided Practice (10 Minutes)
-
Practice with Students:
- Create a few example numbers on the board and ask students to identify the value of specific digits.
- Example: What is the value of the 5 in the number 7,582,049?
- Discuss the correct answers as a class.
-
Group Activity:
- Divide students into small groups and provide them with a set of numbers. Ask them to fill out place value charts for numbers given.
IV. Independent Practice (5 Minutes)
- Distribute the worksheet containing practice problems related to place value.
Homework Assignment
Instructions: Complete the following homework problems. Use your place value knowledge to answer.
- What is the value of the digit 8 in the number 5,879,243?
- Break down the number 4,302,156 into its component place values.
- Write the number represented by the following place values:
- 6 millions
- 4 hundred thousands
- 9 tens
- 1 one
Answers to Homework
- The value of the digit 8 in 5,879,243 is 800,000.
- Breakdown of 4,302,156:
- 4 = 4 million
- 3 = 300,000
- 0 = 0
- 2 = 20,000
- 1 = 1,000
- 5 = 500
- 6 = 6
- The number represented is 6,401,910.
Conclusion (Optional)
- Reinforce the importance of place value in understanding larger numbers.
- Encourage students to practice identifying place values in their everyday lives (e.g., in addresses, prices, etc.).
This lesson plan aims to develop a strong foundational understanding of place value among Grade 5 students, following TEKS 5.3K standards.