HomePrimary 5MathematicsMastering Whole Numbers: Counting in Thousands and Millions Mathematics Primary 5 First Term Lesson Notes Week 1

Mastering Whole Numbers: Counting in Thousands and Millions Mathematics Primary 5 First Term Lesson Notes Week 1

Mathematics Primary 5 First Term Lesson Notes

Week: 1
Subject: Mathematics
Class: Primary 5
Term: First Term
Age: 10 years
Topic: Whole Numbers
Sub-Topics:

  1. Counting and Writing of Numbers in Thousands and Millions
  2. Usage of Abacus and Number Charts to Identify and Read Numbers
  3. Place Value of Digits in Whole Numbers
  4. Place Value of Digits in Decimal Numbers
  5. Quantitative Reasoning

Duration: 40 minutes

Behavioural Objectives:

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

  1. Count and write numbers in thousands and millions.
  2. Use an abacus to form given numbers.
  3. Identify the place value of digits in whole numbers and decimal numbers.
  4. Compare and order whole numbers up to 1,000,000.
  5. Round numbers to the nearest 10, 100, 1,000, or 10,000.
  6. Apply counting of large numbers in real-life situations.
  7. Solve quantitative reasoning problems related to place value and whole numbers.

Keywords:

  • Thousands
  • Millions
  • Abacus
  • Place value
  • Decimal
  • Whole numbers
  • Quantitative reasoning

Set Induction:
The teacher will begin by showing pupils an abacus and a number chart. The teacher will then ask them if they have ever seen or used these tools before, engaging them in a discussion about how numbers are used in daily activities like shopping or counting people.

Entry Behaviour:
Pupils are already familiar with basic counting and writing of numbers up to hundreds.

Learning Resources and Materials:

  1. Abacus
  2. Number charts
  3. Place value charts
  4. Flashcards with numbers
  5. Quantitative reasoning worksheets

Building Background/Connection to Prior Knowledge: The teacher will ask the pupils how they count objects around them. The teacher will link their responses to counting larger quantities, such as money or commodities, and introduce the concept of thousands and millions.

Embedded Core Skills:

  • Critical thinking
  • Problem-solving
  • Mathematical reasoning

Learning Materials:

  1. Abacus
  2. Number charts
  3. Worksheets for place value and quantitative reasoning

Reference Books:
Lagos State Scheme of Work, Primary 5 Mathematics Textbook

Instructional Materials:

  1. Abacus
  2. Number charts
  3. Place value charts
  4. Flashcards with numbers

Content:

  1. Counting and Writing of Numbers in Thousands and Millions
    • Introduction to large numbers like thousands and millions.
    • Practice writing numbers in these ranges.
  2. Usage of Abacus and Number Charts
    • Demonstration of how to use an abacus to form numbers.
    • Reading and identifying numbers using a number chart.
  3. Place Value of Digits in Whole Numbers
    • Explanation of place value in large numbers.
    • Identifying the value of each digit in whole numbers.
  4. Place Value of Digits in Decimal Numbers
    • Introduction to place value in decimal numbers.
    • Practice identifying the value of digits in decimal numbers.
  5. Quantitative Reasoning
    • Solving problems related to place value and whole numbers.

Explanation:

  1. Count and Write Numbers in Thousands and Millions:
    • Understanding that numbers are grouped in thousands (e.g., 1,000; 10,000) and millions (e.g., 1,000,000; 10,000,000).
    • Writing numbers in words and digits (e.g., 5,632 is written as five thousand six hundred thirty-two).
    • Recognizing and writing large numbers up to a million.

    Example 1: Write the number 57,349 in words.

    • Answer: Fifty-seven thousand three hundred forty-nine.

    Example 2: Convert the number “Four hundred sixty-five thousand eight hundred ninety-one” to digits.

    • Answer: 465,891.

    Example 3: Count by thousands from 2,000 to 10,000.

    • Answer: 2,000, 3,000, 4,000, 5,000, 6,000, 7,000, 8,000, 9,000, 10,000.

    Example 4: Write the number 2,345,789 in words.

    • Answer: Two million three hundred forty-five thousand seven hundred eighty-nine.

    Example 5: Convert “Six million seventy-two thousand one hundred fifty” into digits.

    • Answer: 6,072,150.
  2. Use an Abacus to Form Given Numbers:
    • Understanding the structure of an abacus (units, tens, hundreds, thousands, etc.).
    • Placing beads on the abacus to represent numbers.

    Example 1: Represent the number 2,345 on an abacus.

    • Answer: 2 beads on thousands, 3 beads on hundreds, 4 beads on tens, and 5 beads on units.

    Example 2: Form the number 7,890 on an abacus.

    • Answer: 7 beads on thousands, 8 beads on hundreds, 9 beads on tens, and 0 beads on units.

    Example 3: Create the number 1,230,456 on an abacus.

    • Answer: 1 bead on million, 2 beads on hundred thousand, 3 beads on ten thousand, 4 beads on thousand, 5 beads on hundred, 6 beads on ten.

    Example 4: Represent the number 5,678,900 on an abacus.

    • Answer: 5 beads on million, 6 beads on hundred thousand, 7 beads on ten thousand, 8 beads on thousand, 9 beads on hundred, 0 on tens and units.

    Example 5: Show the number 12,345 on an abacus.

    • Answer: 1 bead on ten thousand, 2 beads on thousand, 3 beads on hundred, 4 beads on ten, 5 beads on units.
  3. Identify the Place Value of Digits in Whole Numbers and Decimal Numbers:
    • Understanding the place value of each digit in a number.
    • Identifying place value in both whole numbers and decimals.

    Example 1: What is the place value of 6 in 36,758?

    • Answer: 6 is in the thousands place.

    Example 2: Identify the place value of 7 in 123.478.

    • Answer: 7 is in the hundredths place.

    Example 3: What is the place value of 4 in 546,912?

    • Answer: 4 is in the ten thousand place.

    Example 4: Identify the place value of 2 in 79.245.

    • Answer: 2 is in the tenths place.

    Example 5: What is the place value of 8 in 987,654?

    • Answer: 8 is in the hundred thousand place.
  4. Compare and Order Whole Numbers Up to 1,000,000:
    • Comparing numbers using greater than (>), less than (<), and equal to (=) symbols.
    • Arranging numbers in ascending and descending order.

    Example 1: Compare 456,789 and 567,890.

    • Answer: 456,789 < 567,890

    Example 2: Order the numbers 345, 12,789, 23, 9,876 from smallest to largest.

    • Answer: 23, 345, 9,876, 12,789

    Example 3: Compare 999,999 and 1,000,000.

    • Answer: 999,999 < 1,000,000

    Example 4: Order the numbers 45,678, 89,456, 23,000 from largest to smallest.

    • Answer: 89,456, 45,678, 23,000

    Example 5: Compare 780,002 and 780,020.

    • Answer: 780,002 < 780,020
  5. Round Numbers to the Nearest 10, 100, 1,000, or 10,000:
    • Understanding how to round numbers based on place value.
    • Practicing rounding to different places.

    Example 1: Round 3,467 to the nearest 10.

    • Answer: 3,470

    Example 2: Round 8,392 to the nearest 100.

    • Answer: 8,400

    Example 3: Round 567,891 to the nearest 1,000.

    • Answer: 568,000

    Example 4: Round 234,567 to the nearest 10,000.

    • Answer: 230,000

    Example 5: Round 999,999 to the nearest 10,000.

    • Answer: 1,000,000
  6. Apply Counting of Large Numbers in Real-Life Situations:
    • Applying counting skills to real-life examples like money, population, etc.

    Example 1: Counting the population of a city of 1,234,567 people.

    • Answer: One million two hundred thirty-four thousand five hundred sixty-seven people.

    Example 2: Counting the number of books in a library with 12,345 books.

    • Answer: Twelve thousand three hundred forty-five books.

    Example 3: Counting money: How much is 456,789 Naira?

    • Answer: Four hundred fifty-six thousand seven hundred eighty-nine Naira.

    Example 4: Counting the number of seats in a stadium with 98,765 seats.

    • Answer: Ninety-eight thousand seven hundred sixty-five seats.

    Example 5: Counting the number of vehicles in a parking lot with 23,000 vehicles.

    • Answer: Twenty-three thousand vehicles.
  7. Solve Quantitative Reasoning Problems Related to Place Value and Whole Numbers:
    • Solving math problems that involve understanding of place value.

    Example 1: If you add 1,234 to 3,456, what is the place value of the digit in the thousands place in the result?

    • Answer: The digit in the thousands place is 4.

    Example 2: If you subtract 12,345 from 23,456, what is the digit in the tens place in the result?

    • Answer: The digit in the tens place is 1.

    Example 3: If 456,789 is added to 123,456, what is the digit in the hundreds place in the result?

    • Answer: The digit in the hundreds place is 2.

    Example 4: What is the place value of the digit 7 in the sum of 78,654 + 12,345?

    • Answer: The digit 7 is in the hundred thousands place.

    Example 5: What is the digit in the thousands place in the difference of 987,654 – 345,678?

    • Answer: The digit in the thousands place is 1.

Class Work:

  1. Write 234,567 in words.
  2. Represent the number 5,432 on an abacus.
  3. Identify the place value of 9 in 456,789.
  4. Compare 123,456 and 654,321.
  5. Round 456,789 to the nearest 1,000.
  6. Write 678,901 in words.
  7. Represent the number 8,765 on an abacus.
  8. Identify the place value of 7 in 789.654.
  9. Compare 987,654 and 123,456.
  10. Round 345,678 to the nearest 10,000.
  11. Write 1,234,567 in words.
  12. Represent the number 9,876 on an abacus.
  13. Identify the place value of 5 in 567,890.
  14. Compare 789,012 and 345,678.
  15. Round 678,901 to the nearest 100.
  16. Write 890,123 in words.
  17. Represent the number 7,654 on an abacus.
  18. Identify the place value of 2 in 123.456.
  19. Compare 890,123 and 123,456.
  20. Round 789,012 to the nearest 10.
  21. Write 345,678 in words.
  22. Represent the number 6,543 on an abacus.
  23. Identify the place value of 3 in 234.567.
  24. Compare 456,789 and 987,654.
  25. Round 567,890 to the nearest 1,000.

Assessment

  1. The place value of 5 in 5,678 is __________.
    a) 50
    b) 5,000
    c) 500
    d) 5
  2. The number 2,000,000 is written as __________ in words.
    a) Two million
    b) Two thousand
    c) Two hundred
    d) Two million thousand
  3. An abacus can be used to __________ numbers.
    a) Add
    b) Form
    c) Subtract
    d) Multiply
  4. The digit 7 in the number 47,689 has a place value of __________.
    a) 700
    b) 7,000
    c) 70
    d) 7,000,000
  5. The decimal number 3.456 has a digit 4 in the __________ place.
    a) Hundreds
    b) Tens
    c) Tenths
    d) Thousandths
  6. The number 56 rounded to the nearest 10 is __________.
    a) 50
    b) 60
    c) 70
    d) 80
  7. Counting in __________ helps in adding large quantities of goods.
    a) Tens
    b) Hundreds
    c) Thousands
    d) Millions
  8. The place value of the digit 9 in 9,234,567 is __________.
    a) 9 million
    b) 90,000
    c) 900,000
    d) 9,000
  9. Numbers can be written and read using __________.
    a) Alphabets
    b) Abacus
    c) Pictures
    d) Colours
  10. The number 10,000 rounded to the nearest 1,000 is __________.
    a) 10,000
    b) 11,000
    c) 9,000
    d) 8,000
  11. Place value helps in __________ and __________ numbers.
    a) Reading, writing
    b) Adding, subtracting
    c) Multiplying, dividing
    d) Counting, estimating
  12. A number chart shows the __________ of numbers.
    a) Sequence
    b) Colour
    c) Size
    d) Shape
  13. The number 7,000 is __________ times greater than 7.
    a) 10
    b) 100
    c) 1,000
    d) 100,000
  14. The digit 6 in the number 65,432,100 is in the __________ place.
    a) Millions
    b) Hundreds
    c) Thousands
    d) Tens
  15. Rounding 56,789 to the nearest 10,000 gives __________.
    a) 50,000
    b) 60,000
    c) 70,000
    d) 55,000

Class Activity Discussion

  1. Q: What is the place value of 3 in 345,678?
    A: 300,000.
  2. Q: How do you count in thousands?
    A: By increasing numbers by 1,000 at a time, e.g., 1,000, 2,000, 3,000.
  3. Q: What is the use of an abacus?
    A: To form and count numbers.
  4. Q: How do you round a number to the nearest 10?
    A: If the last digit is 5 or more, round up; if it’s 4 or less, round down.
  5. Q: What is a million in numbers?
    A: 1,000,000.
  6. Q: How can you use a number chart?
    A: To read and write numbers in sequence.
  7. Q: What is the place value of 9 in 9,876,543?
    A: 9 million.
  8. Q: How do you compare whole numbers?
    A: By looking at the place value of each digit, starting from the left.
  9. Q: What does rounding mean?
    A: Approximating a number to a specific place value.
  10. Q: How does place value help in math?
    A: It helps us understand the value of each digit in a number.
  11. Q: Can an abacus be used for decimals?
    A: Yes, by assigning value to each bead.
  12. Q: What is the purpose of quantitative reasoning?
    A: To solve math problems using logic and reasoning.
  13. Q: What is the nearest ten to 76?
    A: 80.
  14. Q: How do you write 5 million?
    A: 5,000,000.
  15. Q: What is the difference between a whole number and a decimal?
    A: A whole number has no fractional part; a decimal includes a fractional part.

Presentation:

Step 1: The teacher revises the previous topic on basic counting and numbers.
Teacher’s Activities: Recap counting up to hundreds with the pupils, then introduce thousands and millions.
Learners’ Activities: Pupils will participate by counting along and identifying numbers on the abacus.

Step 2: The teacher introduces counting and writing numbers in thousands and millions, demonstrating on an abacus and using number charts.
Teacher’s Activities: Demonstrate how to use an abacus to form large numbers and show numbers on a chart.
Learners’ Activities: Pupils will practice forming and identifying numbers on the abacus and charts.

Step 3: The teacher guides pupils in understanding place values in whole and decimal numbers.
Teacher’s Activities: Explain and show examples of place values, comparing whole and decimal numbers.
Learners’ Activities: Pupils will solve practice questions on place value and rounding.

 

Assessment:

  1. Write the place value of 8 in 18,345.
  2. Form the number 3,567 using an abacus.
  3. Compare and order these numbers: 54,321, 65,432, 76,543.
  4. Round 45,678 to the nearest 10,000.
  5. Identify the place value of 7 in 0.786.

Evaluation Questions:

  1. What is the place value of 4 in 4,567,890?
  2. How do you write 3 million in numbers?
  3. Use an abacus to form 2,345.
  4. What is the nearest ten to 34?
  5. Compare 123,456 and 654,321

Conclusion:

The teacher will go around to check pupils’ work, provide necessary corrections, and conclude the lesson by summarizing the importance of counting in large numbers and understanding place value.

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