Multiplication of Numbers Mastering Multiplication: From Whole Numbers to Decimal Fractions Mathematics Primary 6 First Term Lesson Notes Week 3

Lesson Plan for Week 3

Subject: Mathematics
Class: Primary 6
Term: First Term
Week: 3
Age: 11 years
Topic: Multiplication of Numbers
Sub-Topic: Multiplication of Whole Numbers, Decimal Fractions, Real-life Problems, and Quantitative Reasoning
Duration: 60 minutes


Behavioral Objectives

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

  1. Multiply 3-digit numbers by 3-digit numbers and write the answers in words.
  2. Multiply decimal fractions by decimal fractions of different values.
  3. Solve real-life problems on multiplication related to daily activities.

Keywords

  • Multiplication
  • Whole Numbers
  • Decimal Fractions
  • Real-life Problems
  • Quantitative Reasoning

Set Induction

Begin the lesson by discussing examples of situations where multiplication is used in daily life, such as calculating the total cost of items bought, determining the area of a piece of land, or figuring out the total distance covered over several days.

Entry Behavior

Pupils should already be familiar with the concepts of basic multiplication and have experience multiplying smaller numbers.

Learning Resources and Materials

  • Multiplication charts
  • Worksheets with multiplication problems
  • Flashcards showing examples of real-life problems involving multiplication

Building Background/Connection to Prior Knowledge

Connect the lesson to previous topics on addition and subtraction, highlighting how multiplication is an extension of repeated addition.

Embedded Core Skills

  • Critical Thinking
  • Problem-Solving
  • Numerical Literacy

Learning Materials

  • Lagos State Scheme of Work
  • Multiplication charts
  • Example problems on the board
  • Real-life problem scenarios

Reference Books

  • Lagos State Scheme of Work
  • New General Mathematics for Primary Schools

Instructional Materials

  • Flashcards
  • Chalkboard/Whiteboard
  • Markers/Chalk

Content

  1. Multiplication of 3-Digit Numbers by 3-Digit Numbers
    • Example: 123 × 456
    • Steps:
      1. Multiply the digits in the units place.
      2. Multiply the digits in the tens place.
      3. Multiply the digits in the hundreds place.
      4. Add the products to get the final result.
    • Write the final answer in words.
  2. Multiplication of Decimal Fractions
    • Example: 1.23 × 4.56
    • Steps:
      1. Multiply the numbers ignoring the decimal point.
      2. Count the total number of decimal places in both numbers.
      3. Place the decimal point in the product, counting from the right.
  3. Real-Life Problems on Multiplication
    • Example: A shop sells 123 pencils every day. How many pencils are sold in 456 days?
    • Use multiplication to solve the problem and write the answer in words.
  4. Quantitative Reasoning Problems
    • Practice problems that involve logical thinking and the application of multiplication in different contexts.

Evaluation

  1. Multiply 123 by 456. The answer is _______.
    a) 56088
    b) 56808
    c) 56988
    d) 57088
  2. What is the product of 321 and 654?
    a) 209934
    b) 209844
    c) 209954
    d) 209924
  3. 1.23 × 4.56 = _______
    a) 5.6088
    b) 5.6178
    c) 5.6128
    d) 5.6098
  4. Multiply 987 by 654. The answer in words is _______.
    a) Six hundred forty-five thousand two hundred ninety-eight
    b) Six hundred forty-four thousand three hundred ninety-eight
    c) Six hundred forty-four thousand two hundred ninety-eight
    d) Six hundred forty-three thousand three hundred ninety-eight
  5. 2.34 × 3.21 = _______
    a) 7.5054
    b) 7.5094
    c) 7.5114
    d) 7.5124
  6. What is 567 multiplied by 123?
    a) 69741
    b) 69831
    c) 69721
    d) 69651
  7. 0.45 × 0.67 = _______
    a) 0.3015
    b) 0.3017
    c) 0.3025
    d) 0.3027
  8. Multiply 879 by 234. The answer in words is _______.
    a) Two hundred five thousand five hundred ninety-six
    b) Two hundred five thousand five hundred ninety-eight
    c) Two hundred six thousand five hundred ninety-six
    d) Two hundred six thousand five hundred ninety-eight
  9. 3.45 × 2.89 = _______
    a) 9.9705
    b) 9.9755
    c) 9.9700
    d) 9.9750
  10. What is 876 × 543?
    a) 475188
    b) 475088
    c) 475188
    d) 475088
  11. 4.56 × 3.78 = _______
    a) 17.2128
    b) 17.2138
    c) 17.2168
    d) 17.2158
  12. Multiply 342 by 786. The answer in words is _______.
    a) Two hundred sixty-eight thousand six hundred twelve
    b) Two hundred sixty-eight thousand six hundred twenty-two
    c) Two hundred sixty-eight thousand six hundred twenty
    d) Two hundred sixty-eight thousand six hundred thirty
  13. 5.67 × 1.23 = _______
    a) 6.9751
    b) 6.9761
    c) 6.9755
    d) 6.9765
  14. What is 678 × 543?
    a) 368754
    b) 368964
    c) 368754
    d) 368964
  15. 0.78 × 0.89 = _______
    a) 0.6942
    b) 0.6952
    c) 0.6962
    d) 0.6972

Class Activity Discussion

  1. Q: How do you multiply 3-digit numbers by 3-digit numbers?
    A: Multiply each digit starting from the units place, and then add the products.
  2. Q: What is the first step in multiplying decimal fractions?
    A: Ignore the decimal point and multiply the numbers as whole numbers.
  3. Q: How do you place the decimal point in the product of two decimals?
    A: Count the total number of decimal places in both numbers and place the decimal in the product accordingly.
  4. Q: What is the product of 123 and 456?
    A: 56088
  5. Q: What is the next step after multiplying the digits in decimal fractions?
    A: Place the decimal point in the correct position in the product.
  6. Q: How do you solve real-life problems involving multiplication?
    A: Identify the quantities to multiply, perform the multiplication, and write the answer in words.
  7. Q: What is the product of 2.34 and 3.21?
    A: 7.5114
  8. Q: How do you multiply a number by a decimal fraction?
    A: Multiply normally, then place the decimal point according to the total decimal places in the factors.
  9. Q: Can multiplication be used to solve problems in everyday life?
    A: Yes, it helps in calculating totals, areas, distances, and more.
  10. Q: What is the result of 987 × 654?
    A: 645,298
  11. Q: Why is it important to write multiplication answers in words?
    A: It helps in understanding and verifying the results, especially in real-life situations.
  12. Q: What is 1.23 × 4.56 in words?
    A: Five point six zero eight eight
  13. Q: What do you do after multiplying the digits in a decimal fraction?
    A: Place the decimal point correctly in the product.
  14. Q: How can you check if your multiplication is correct?
    A: Use estimation or reverse operations to verify the result.
  15. Q: What is the product of 123 and 567?
    A: 69,741

Presentation

Step 1: Revising the Previous Topic

  • Start the lesson by revisiting the concept of addition and subtraction of large numbers and decimal fractions.
  • Discuss how these operations are foundational to understanding multiplication.

Step 2: Introducing the New Topic

  • Explain the process of multiplying 3-digit numbers by 3-digit numbers, and multiplying decimal fractions.
  • Solve some example problems on the board.

Step 3: Allowing Pupils to Contribute and Correcting Them as Necessary

  • Provide practice problems for pupils to work on individually or in pairs.
  • Walk around the class to observe and assist as needed.
  • Discuss the solutions together as a class, correcting any errors.

Teacher’s Activities

  • Explain the multiplication process step-by-step.
  • Provide examples and solve them on the board.
  • Distribute worksheets and guide pupils through the problems.
  • Assess pupils’ understanding through questioning and feedback.

Learners’ Activities

  • Participate in class discussions.
  • Practice multiplication problems individually or in groups.
  • Present solutions and explain their reasoning.

Assessment

  • Evaluate pupils’ ability to multiply 3-digit numbers by 3-digit numbers and decimal fractions.
  • Provide real-life multiplication problems for pupils to solve.

Evaluation Questions

  1. Multiply 123 by 654. Write the answer in words.
  2. What is 2.34 multiplied by 4.56?
  3. Solve: 987 × 543.
  4. What is the product of 0.78 and 0.89?
  5. How would you solve a problem where you need to find the total cost of 123 items, each costing $4.56?
  6. Multiply 345 by 678. Write the answer in words.
  7. What is 5.67 multiplied by 1.23?
  8. Solve: 876 × 543.
  9. How do you multiply two decimal fractions?
  10. What is the answer to 1.23 × 0.45 in words?

Conclusion

  • Mark pupils’ work and provide feedback.
  • Review key concepts, ensuring all pupils understand the multiplication process.
  • Assign additional practice problems for homework.