Whole Numbers Counting and Writing Numbers in Thousands and Millions Mathematics Primary 6 First Term Lesson Notes Week 1

Subject: Mathematics
Class: Primary 6
Term: First Term
Week: 1
Age: 10-11 years
Topic: Whole Numbers
Sub-topic:
a. Reading and Writing Numbers in Millions up to Billions in Words and Figures
b. Skip Counting in Thousands, Millions, and Billions
c. Place Value and Value of Whole Numbers
d. Quantitative Reasoning

Duration: 60 minutes

Behavioral Objectives

By the end of the lesson, pupils should be able to:

1. Read and write numbers up to one billion in words.
2. Read and write numbers up to one billion in figures.
3. Count in thousands, millions, and billions.
4. Identify and write the place value and values of numbers.
5. Solve quantitative reasoning questions related to thousands, millions, and billions.

Keywords: Millions, Billions, Place Value, Skip Counting, Quantitative Reasoning

Set Induction:
Begin the lesson by discussing how large numbers are frequently used in everyday life, such as in population figures, distances, and money. Ask pupils to share examples of large numbers they have encountered and how they were written.

Entry Behavior:
Pupils are already familiar with reading and writing numbers up to thousands and understand basic counting principles.

Learning Resources:

1. Number charts displaying millions and billions.
2. Flashcards with numbers in figures and words.
3. Quantitative reasoning workbooks.

Embedded Core Skills:

1. Numeracy
2. Critical thinking
3. Problem-solving

Instructional Materials:

1. Whiteboard and markers
2. Printed number charts
3. Flashcards
4. Worksheets for practice problems

Content

1. Reading and Writing Numbers in Millions and Billions

• Example:
  • Number: 7,123,456
  • In words: Seven million, one hundred twenty-three thousand, four hundred fifty-six.
  • Number: 2,000,000,000
  • In words: Two billion.
• Practice Problem:
  • Convert the following numbers to words:
    1. 6,789,000
    2. 3,456,789,012
  • Convert the following words to figures:
    1. Nine hundred million, eight hundred seventy-six thousand, five hundred forty-three
    2. One billion, two hundred thirty-four million, five hundred sixty-seven thousand, eight hundred ninety.

2. Skip Counting in Thousands, Millions, and Billions

• Example:
  • Counting by thousands: 1,000, 2,000, 3,000, …, 10,000.
  • Counting by millions: 1,000,000, 2,000,000, 3,000,000, …, 10,000,000.
  • Counting by billions: 1,000,000,000, 2,000,000,000, 3,000,000,000, …, 10,000,000,000.
• Practice Problem:
  • Continue the sequence:
    1. 5,000, 10,000, 15,000, …
    2. 3,000,000, 6,000,000, 9,000,000, …

3. Place Value and Value of Whole Numbers

• Example:
  • Number: 4,372,891
    • Place value of 7 is hundred thousand.
    • Value of 7 is 700,000.
  • Number: 9,820,000,000
    • Place value of 8 is one hundred million.
    • Value of 8 is 800,000,000.
• Practice Problem:
  • Identify the place value and value of the underlined digits:
    1. 4,583,723
    2. 9,843,210,456

4. Quantitative Reasoning

• Example:
  • If 1,000 is added to 5,678, what is the new number?
  • Which number is larger: 9,876,543 or 9,876,456?
• Practice Problem:
  • Solve the following:
    1. Add 1,000 to 6,789,123.
    2. Compare 1,234,567,890 and 1,234,567,098.

Evaluation

1. 4,567,000 in words is __________.
   a) Four hundred fifty-six thousand
   b) Four million, five hundred sixty-seven thousand
   c) Forty-five million, six hundred seventy thousand
   d) Four million, fifty-six thousand
2. The place value of 6 in 6,789,000 is __________.
   a) Hundred thousand
   b) Million
   c) Hundred million
   d) Thousand
3. The number after 9,000 when counting by thousands is __________.
   a) 8,000
   b) 10,000
   c) 12,000
   d) 11,000
4. Seven hundred million, three hundred twenty-one thousand, four hundred fifty-six in figures is __________.
   a) 700,321,456
   b) 700,231,456
   c) 70,321,456
   d) 7,032,145
5. The value of 5 in 5,123,000,789 is __________.
   a) Fifty million
   b) Five hundred million
   c) Five billion
   d) Five million
6. Counting by millions, the next number after 2,000,000 is __________.
   a) 3,000,000
   b) 2,100,000
   c) 2,010,000
   d) 20,000,000
7. The place value of 2 in 3,246,789,012 is __________.
   a) Million
   b) Hundred million
   c) Ten billion
   d) Billion
8. One billion, two hundred thirty-four million, five hundred sixty-seven thousand, eight hundred ninety in figures is __________.
   a) 1,234,567,890
   b) 123,456,789
   c) 1,234,578,890
   d) 12,345,678,900
9. 3,890,000 in words is __________.
   a) Three billion, eight hundred ninety million
   b) Three million, eight hundred ninety thousand
   c) Three million, eighty-nine thousand
   d) Thirty-eight million, nine hundred thousand
10. The value of 8 in 1,824,567,009 is __________.
    a) Eight thousand
    b) Eight million
    c) Eight billion
    d) Eight hundred million
11. Counting by billions, the next number after 4,000,000,000 is __________.
    a) 5,000,000,000
    b) 4,100,000,000
    c) 4,010,000,000
    d) 40,000,000,000
12. The place value of 9 in 9,654,321,000 is __________.
    a) Ten million
    b) Hundred million
    c) Billion
    d) Ten billion
13. Six hundred and forty-three million, two hundred thousand, eight hundred in figures is __________.
    a) 643,200,800
    b) 643,000,280
    c) 643,002,800
    d) 634,200,800
14. The value of 3 in 3,456,789,012 is __________.
    a) Thirty billion
    b) Three hundred million
    c) Three billion
    d) Three hundred billion
15. Five hundred million, sixty-five thousand, two hundred thirty-four in figures is __________.
    a) 500,065,234
    b) 500,650,234
    c) 500,065,324
    d) 50,065,234

Class Activity Discussion

1. Q: What is the difference between place value and value of a digit?
   A: Place value refers to the position of a digit in a number, while the value is the digit multiplied by its place value.
2. Q: How do you read numbers in the billions?
   A: Start from the leftmost digit and read each group of three digits followed by the appropriate name (million, billion, etc.).
3. Q: Can a number have more than one place value?
   A: Yes, each digit in a number has its own place value based on its position.
4. Q: How do you write the number 1,234,567,890 in words?
   A: One billion, two hundred thirty-four million, five hundred sixty-seven thousand, eight hundred ninety.
5. Q: What does skip counting mean?
   A: Skip counting is counting by a specific number, such as counting by twos, fives, thousands, millions, or billions.
6. Q: Why is place value important?
   A: Place value helps us understand the value of each digit in a number, which is essential for reading, writing, and comparing numbers.
7. Q: How do you compare two large numbers?
   A: Start by comparing the digits from the leftmost side. The number with the larger leftmost digit is greater.
8. Q: What is the place value of the digit 7 in 7,234,567?
   A: The place value is one million.
9. Q: How do you write 4,300,000 in words?
   A: Four million, three hundred thousand.
10. Q: Can a digit’s value be greater than its place value?
    A: No, a digit’s value is the product of the digit and its place value.
11. Q: What is the next number after 999,999,999?
    A: One billion.
12. Q: How do you skip count by billions?
    A: Add one billion to the previous number to get the next number.
13. Q: What is the place value of the digit 2 in 2,456,789,012?
    A: The place value is ten billion.
14. Q: How do you write seven billion, two hundred thousand in figures?
    A: 7,000,200,000.
15. Q: How do you determine the value of a digit in a large number?
    A: Multiply the digit by its place value to get the value.

Evaluation Questions

1. Write 9,876,543 in words.
2. What is the place value of 6 in 6,789,234?
3. Skip count by millions from 2,000,000 to 10,000,000.
4. Convert five hundred million, two hundred thousand to figures.
5. Compare: 1,234,567,890 and 1,234,567,098.
6. Identify the value of 9 in 9,876,543,210.
7. Write the number after 3,000,000,000 when counting by billions.
8. Convert 7,654,321,000 to words.
9. What is the place value of 4 in 4,567,890,123?
10. Write two hundred million, forty-five thousand, six hundred seventy-eight in figures.

Conclusion:
Review the lesson by revisiting the key points. Allow students to ask questions and provide clarification where needed. Mark the pupils’ work, provide feedback, and assign practice exercises for homework.