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:
- 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.
- 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).
- 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)
- 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.”
- 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):
- The number 1,234,567 has ______ millions. (a) 1 (b) 2 (c) 3 (d) 4
- To count from 10,000 to 20,000, you count in ______. (a) units (b) hundreds (c) thousands (d) millions
- 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
- In the number 999,999, the digit 9 represents ______ thousands. (a) 900 (b) 9000 (c) 90,000 (d) 900,000
- The place value of 3 in 305,678 is ______. (a) 30,000 (b) 3000 (c) 300 (d) 3
- What is the place value of 7 in 7,654,321? (a) 70,000 (b) 7000 (c) 700,000 (d) 7,000,000
- 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
- The number 2,345,678 has ______ ten thousands. (a) 23 (b) 234 (c) 2345 (d) 23456
- What is the place value of 2 in 2,567,890? (a) 200 (b) 20,000 (c) 2000 (d) 200,000
- The number 1,000,000 is written as ______. (a) One million (b) Ten thousand (c) One thousand (d) One hundred thousand
- In the number 8,765,432, the digit 8 is in the ______ place. (a) thousand (b) ten thousand (c) hundred thousand (d) million
- 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
- The place value of 1 in 1,234,567 is ______. (a) 1 (b) 10 (c) 100 (d) 1,000,000
- 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
- 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):
- 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. - 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. - 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. - Q: Why is understanding place value important?
A: It helps in accurately reading, writing, and understanding large numbers. - 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. - 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. - 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. - 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.” - 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. - 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:
- Step 1: The teacher revises the previous topic: Counting and place value up to 9999.
- Step 2: The teacher introduces the new topic: Counting from 1000 to 1,000,000, writing numbers, and understanding place value.
- 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
- What is the place value of 4 in the number 142,367?
- a) 4,000
- b) 40,000
- c) 4
- 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
- What number comes after 999,000?
- a) 1,000,000
- b) 999,999
- c) 1,000,001
- How do you write 210,000 in words?
- a) Two hundred ten thousand
- b) Twenty-one thousand
- c) Two thousand one hundred
- 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:
- What is the place value of 8 in 8,765,432? (a) 80 (b) 800 (c) 8000 (d) 800,000
- How do you count in millions? (a) By thousands (b) By tens (c) By hundreds (d) By millions
- What is the place value of 5 in 5,432,100? (a) 50 (b) 500 (c) 5000 (d) 500,000
- 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
- In 2,345,678, the digit 3 represents ______. (a) 30 (b) 300 (c) 3,000 (d) 30,000
- How is 1,000,000 written in words? (a) One hundred thousand (b) One thousand thousand (c) One million (d) One thousand million
- What is the place value of 7 in 7,890,123? (a) 70 (b) 700 (c) 7,000 (d) 70,000
- Write 405,000 in words. (a) Four hundred five thousand (b) Four thousand five hundred (c) Forty-five thousand (d) Four hundred fifty thousand
- The number 543,210 has ______ hundreds. (a) 5 (b) 50 (c) 500 (d) 5000
- 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.
More Useful Links
- Mastering Skip Counting: Groups of 5, 7, 60, 100, and 1000 Mathematics Primary 4 First Term Lesson Notes Week 3
- Ordering and Comparing Whole Numbers: Mastering Symbols Mathematics Primary 4 First Term Lesson Notes Week 4
- Basic Operations: Addition and Subtraction Mathematics Primary 4 First Term Lesson Notes Week 6
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