Exploring Whole Numbers: From Thousands to Millions Mathematics Primary 4 First Term Lesson Notes Week 2

Mathematics Primary 4 First Term Lesson Notes Week 2

Subject: Mathematics
Class: Primary 4
Term: First Term
Week: 2
Age: 9 years
Topic: Whole Numbers (Contd)
Sub-topic: Counting from Thousand to One Million
Duration: 1 hour

Behavioural Objectives:

• Count from thousand to one million.
• Write numbers up to one million.
• Understand the place value of numbers up to one million.
• Write numbers in words up to one million.
• Identify the place value of numbers up to one million.

Keywords: Whole numbers, counting, place value, millions, writing numbers in words.

Set Induction: Start with a discussion on how large numbers are used in everyday life, such as in population statistics, national budgets, and large financial transactions.

Entry Behaviour: Pupils should be familiar with counting in thousands and have basic knowledge of place value.

Learning Resources and Materials:

• Number charts up to one million
• Abacus
• Whiteboard and markers
• Worksheets with numbers and place value exercises

Building Background / Connection to Prior Knowledge: Review counting in hundreds and thousands from the previous week. Connect to real-life scenarios where larger numbers are used.

Embedded Core Skills:

• Numerical operations
• Reading and writing large numbers
• Critical thinking

Learning Materials:

• Number charts
• Abacus
• Worksheets
• Whiteboard and markers

Reference Books:

• Lagos State Scheme of Work

Instructional Materials:

• Number cards
• Abacus for demonstration

Content:

1. Counting from Thousand to One Million:
   • Explanation: Show how to count from 1000 to 1,000,000 using a number chart.
   • Example: Count in increments of thousands: 1000, 2000, 3000, …, up to 1,000,000.
2. Writing Numbers up to One Million:
   • Explanation: Demonstrate how to write large numbers in standard form.
   • Example: 1,000 (one thousand), 50,000 (fifty thousand), 1,000,000 (one million).
3. Place Value of Numbers up to One Million:
   • Explanation: Describe the place value of each digit in numbers up to 1,000,000.
   • Example: In 456,789:
     • 4 is in the hundred thousand place (400,000)
     • 5 is in the ten thousand place (50,000)
     • 6 is in the thousand place (6,000)
     • 7 is in the hundred place (700)
     • 8 is in the ten place (80)
     • 9 is in the unit place (9)
4. Writing Numbers in Words up to One Million:
   • Explanation: Convert large numbers into words.
   • Example: 234,567 is written as “two hundred thirty-four thousand five hundred sixty-seven.”
5. Identifying Place Value of Numbers up to One Million:
   • Explanation: Practice identifying the place value of digits in large numbers.
   • Example: In 890,123, the digit 8 is in the hundred thousand place (800,000).

Evaluation (Fill-in-the-Blank Questions):

1. The number 1,234,567 has ______ millions. (a) 1 (b) 2 (c) 3 (d) 4
2. To count from 10,000 to 20,000, you count in ______. (a) units (b) hundreds (c) thousands (d) millions
3. The number 567,890 is written in words as ______. (a) five hundred sixty-seven thousand eight hundred ninety (b) five hundred sixty-seven million eight hundred ninety (c) five hundred sixty-seven thousand nine hundred eighty (d) five hundred sixty-seven thousand nine hundred
4. In the number 999,999, the digit 9 represents ______ thousands. (a) 900 (b) 9000 (c) 90,000 (d) 900,000
5. The place value of 3 in 305,678 is ______. (a) 30,000 (b) 3000 (c) 300 (d) 3
6. What is the place value of 7 in 7,654,321? (a) 70,000 (b) 7000 (c) 700,000 (d) 7,000,000
7. How do you write 405,000 in words? (a) Four hundred five thousand (b) Four hundred five hundred thousand (c) Forty-five thousand (d) Four thousand five hundred
8. The number 2,345,678 has ______ ten thousands. (a) 23 (b) 234 (c) 2345 (d) 23456
9. What is the place value of 2 in 2,567,890? (a) 200 (b) 20,000 (c) 2000 (d) 200,000
10. The number 1,000,000 is written as ______. (a) One million (b) Ten thousand (c) One thousand (d) One hundred thousand
11. In the number 8,765,432, the digit 8 is in the ______ place. (a) thousand (b) ten thousand (c) hundred thousand (d) million
12. How do you read the number 520,000? (a) Five hundred twenty thousand (b) Five hundred two thousand (c) Five thousand two hundred (d) Fifty-two thousand
13. The place value of 1 in 1,234,567 is ______. (a) 1 (b) 10 (c) 100 (d) 1,000,000
14. The number 789,123 written in words is ______. (a) Seven hundred eighty-nine thousand one hundred twenty-three (b) Seven hundred eighty-nine thousand one hundred twenty-three (c) Seven hundred eighty-nine thousand twelve hundred three (d) Seven thousand eight hundred ninety-one hundred twenty-three
15. In the number 1,234,567, the digit 4 represents ______. (a) four thousand (b) forty thousand (c) four hundred thousand (d) forty thousand

Class Activity Discussion (FAQs with Answers):

1. Q: How do you count from 1000 to 1,000,000?
   A: Count in increments of thousands, then in increments of hundreds of thousands until reaching one million.
2. Q: What is the place value of 6 in 678,123?
   A: The place value of 6 is 600,000 because it is in the hundred thousand place.
3. Q: How do you write large numbers in words?
   A: Break the number into groups of thousands and write each group in words, combining them.
4. Q: Why is understanding place value important?
   A: It helps in accurately reading, writing, and understanding large numbers.
5. Q: How do you identify the place value of a digit?
   A: Look at the position of the digit in the number to determine its value.
6. Q: How can an abacus help with large numbers?
   A: It helps in visualizing and counting large numbers by moving beads to represent different values.
7. Q: What is the importance of counting in millions?
   A: It is useful for understanding and working with very large quantities in real-life contexts like population data.
8. Q: How do you write 1,234,567 in words?
   A: It is written as “one million, two hundred thirty-four thousand, five hundred sixty-seven.”
9. Q: How do you use place value to solve math problems?
   A: Place value helps in performing operations like addition, subtraction, multiplication, and division by understanding the value of each digit.
10. Q: What does each digit represent in 456,789?
    A: Each digit represents a specific place value: 400,000, 50,000, 6,000, 700, 80, and 9.

Presentation:

1. Step 1: The teacher revises the previous topic: Counting and place value up to 9999.
2. Step 2: The teacher introduces the new topic: Counting from 1000 to 1,000,000, writing numbers, and understanding place value.
3. Step 3: The teacher allows pupils to practice writing large numbers and identifying place values, providing corrections and guidance as needed.

Teacher’s Activities:

• Demonstrate counting to one million using a number chart.
• Explain place value with examples and number writing.
• Facilitate discussions on writing numbers in words and identifying place values.

Whole Numbers (Contd)

Grade 4

Topic: Counting and Writing Numbers up to One Million

1. Counting from Thousand to One Million

• Counting in Thousands:
  • Start from 1,000 (one thousand) and keep adding 1,000 each time: 1,000, 2,000, 3,000, and so on.
  • Example: If you count every 1,000 from 1,000 to 10,000, you will get 1,000, 2,000, 3,000, 4,000, 5,000, 6,000, 7,000, 8,000, 9,000, and 10,000.
• Counting in Millions:
  • Start from 1,000,000 (one million) and keep adding 1,000,000: 1,000,000, 2,000,000, 3,000,000, and so on.
  • Example: If you count every 1,000,000 from 1,000,000 to 5,000,000, you will get 1,000,000, 2,000,000, 3,000,000, 4,000,000, and 5,000,000.

2. Writing Numbers up to One Million

• Writing Large Numbers:
  • Write each number by grouping them in thousands and millions.
  • Example:
    • 4,000: Four thousand
    • 25,000: Twenty-five thousand
    • 143,000: One hundred forty-three thousand
    • 1,000,000: One million

3. The Place Value of Numbers up to One Million

• Understanding Place Value:
  • Each digit in a number has a place value, which tells you how much that digit is worth.
  • Example: In the number 352,478:
    • 3 is in the Hundreds Thousand place (300,000)
    • 5 is in the Ten Thousand place (50,000)
    • 2 is in the Thousand place (2,000)
    • 4 is in the Hundreds place (400)
    • 7 is in the Tens place (70)
    • 8 is in the Ones place (8)

4. Counting Numbers in Thousands and Millions

• Counting in Thousands:
  • Use 1,000 as a base to count higher: 1,000, 2,000, 3,000, etc.
  • Example: To count up to 5,000, you say: 1,000, 2,000, 3,000, 4,000, and 5,000.
• Counting in Millions:
  • Use 1,000,000 as a base: 1,000,000, 2,000,000, 3,000,000, etc.
  • Example: To count up to 3,000,000, you say: 1,000,000, 2,000,000, and 3,000,000.

5. Writing Numbers in Words up to One Million

• Writing in Words:
  • Convert numbers into words by breaking them into thousands and millions.
  • Example:
    • 76,432: Seventy-six thousand four hundred thirty-two
    • 1,234,567: One million two hundred thirty-four thousand five hundred sixty-seven

6. Identifying Place Value of Numbers up to One Million

• Finding Place Value:
  • Determine what each digit represents in the number.
  • Example: In 582,734:
    • 5 is in the Hundred Thousand place (500,000)
    • 8 is in the Ten Thousand place (80,000)
    • 2 is in the Thousand place (2,000)
    • 7 is in the Hundreds place (700)
    • 3 is in the Tens place (30)
    • 4 is in the Ones place (4)

Practice Questions

1. What is the place value of 4 in the number 142,367?
   • a) 4,000
   • b) 40,000
   • c) 4
2. Write 3,456 in words.
   • a) Three thousand four hundred fifty-six
   • b) Thirty-four thousand five hundred sixty
   • c) Three thousand four hundred fifty-six thousand
3. What number comes after 999,000?
   • a) 1,000,000
   • b) 999,999
   • c) 1,000,001
4. How do you write 210,000 in words?
   • a) Two hundred ten thousand
   • b) Twenty-one thousand
   • c) Two thousand one hundred
5. Identify the place value of 3 in the number 23,476.
   • a) 300
   • b) 3,000
   • c) 30,000

Learners’ Activities:

• Practice counting and writing large numbers.
• Participate in discussions on place value and real-life applications.
• Solve exercises related to place value and writing numbers in words.

Assessment:

• Observe pupils as they write and identify place values.
• Evaluate understanding through class activities and discussions.

Evaluation Questions:

1. What is the place value of 8 in 8,765,432? (a) 80 (b) 800 (c) 8000 (d) 800,000
2. How do you count in millions? (a) By thousands (b) By tens (c) By hundreds (d) By millions
3. What is the place value of 5 in 5,432,100? (a) 50 (b) 500 (c) 5000 (d) 500,000
4. How do you write 678,000 in words? (a) Six hundred seventy-eight thousand (b) Six hundred seventy-eight hundred (c) Six thousand seventy-eight hundred (d) Six thousand seven hundred eighty
5. In 2,345,678, the digit 3 represents ______. (a) 30 (b) 300 (c) 3,000 (d) 30,000
6. How is 1,000,000 written in words? (a) One hundred thousand (b) One thousand thousand (c) One million (d) One thousand million
7. What is the place value of 7 in 7,890,123? (a) 70 (b) 700 (c) 7,000 (d) 70,000
8. Write 405,000 in words. (a) Four hundred five thousand (b) Four thousand five hundred (c) Forty-five thousand (d) Four hundred fifty thousand
9. The number 543,210 has ______ hundreds. (a) 5 (b) 50 (c) 500 (d) 5000
10. The place value of 9 in 9,876,543 is ______. (a) 90,000 (b) 900,000 (c) 9,000 (d) 900

Conclusion: The teacher goes around to mark pupils’ work, providing feedback and ensuring that they have grasped the concepts of counting, place value, and writing large numbers.

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