Division of Numbers Mastering Division: Whole Numbers and Decimals Mathematics Primary 6 First Term Lesson Notes Week 4

Lesson Plan for Week 4

Subject: Mathematics
Class: Primary 6
Term: First Term
Week: 4
Age: 11 years
Topic: Division of Numbers
Sub-Topic: Division of Whole Numbers, Decimal Numbers, Real-life Problems, and Quantitative Reasoning
Duration: 60 minutes

Behavioral Objectives

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

1. Divide whole numbers by 2-digit and 3-digit numbers, both with and without remainders.
2. Interpret and solve daily life exercises involving division.
3. Solve quantitative reasoning problems related to division in real-life situations.

Keywords

• Division
• Whole Numbers
• Decimal Numbers
• Remainder
• Real-life Problems
• Quantitative Reasoning

Set Induction

Start the lesson by discussing scenarios where division is used, such as sharing items equally among friends, splitting a bill, or determining how many times one number fits into another.

Entry Behavior

Pupils should be familiar with basic division concepts, including dividing smaller numbers and understanding the relationship between division and multiplication.

Learning Resources and Materials

• Division charts
• Worksheets with division problems
• Flashcards with real-life scenarios involving division

Building Background/Connection to Prior Knowledge

Link the lesson to previous topics on multiplication, explaining how division is the reverse operation and is used to distribute or break down quantities.

Embedded Core Skills

• Critical Thinking
• Problem-Solving
• Numerical Literacy

Learning Materials

• Lagos State Scheme of Work
• Division 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. Division of Whole Numbers by 2-Digit and 3-Digit Numbers
   • Example: 987 ÷ 32
   • Steps:
     1. Divide the first few digits by the divisor.
     2. Multiply the quotient by the divisor and subtract from the dividend.
     3. Bring down the next digit and repeat until all digits have been divided.
     4. If there’s a remainder, write it as part of the answer or as a decimal.
2. Division of Decimal Numbers
   • Example: 12.34 ÷ 4.56
   • Steps:
     1. Move the decimal point in the divisor to the right until it becomes a whole number.
     2. Move the decimal point in the dividend the same number of places.
     3. Divide as with whole numbers.
     4. Place the decimal point in the quotient directly above its position in the dividend.
3. Real-Life Problems Involving Division
   • Example: A farmer has 1200 oranges and wants to divide them equally among 24 people. How many oranges does each person get?
   • Use division to solve the problem and explain the answer in words.
4. Quantitative Reasoning Problems Related to Division
   • Practice problems that involve logical thinking and the application of division in different contexts.

Assessment Questions

1. Divide 987 by 32. The quotient is _______.
   a) 30 remainder 27
   b) 31 remainder 15
   c) 30 remainder 15
   d) 31 remainder 27
2. What is the result of 1234 ÷ 56?
   a) 22 remainder 2
   b) 21 remainder 58
   c) 22 remainder 14
   d) 21 remainder 38
3. 5678 ÷ 123 = _______
   a) 46 remainder 10
   b) 45 remainder 13
   c) 46 remainder 110
   d) 46 remainder 13
4. Divide 1234 by 3. The answer is _______.
   a) 411 remainder 1
   b) 412 remainder 2
   c) 411 remainder 2
   d) 412 remainder 1
5. What is 567.89 ÷ 3.45?
   a) 164.72
   b) 164.56
   c) 164.78
   d) 164.67
6. Divide 876 by 32. The quotient is _______.
   a) 27 remainder 12
   b) 27 remainder 20
   c) 28 remainder 12
   d) 28 remainder 20
7. 987 ÷ 65 = _______
   a) 15 remainder 12
   b) 14 remainder 17
   c) 15 remainder 22
   d) 15 remainder 27
8. What is 12.34 ÷ 4.56?
   a) 2.71
   b) 2.69
   c) 2.73
   d) 2.71
9. Divide 6789 by 123. The quotient is _______.
   a) 55 remainder 54
   b) 54 remainder 57
   c) 55 remainder 39
   d) 54 remainder 57
10. What is 2345 ÷ 78?
    a) 30 remainder 5
    b) 30 remainder 5
    c) 29 remainder 5
    d) 29 remainder 67
11. Divide 987 by 13. The answer is _______.
    a) 75 remainder 12
    b) 76 remainder 13
    c) 76 remainder 5
    d) 75 remainder 5
12. What is 56.78 ÷ 1.23?
    a) 46.16
    b) 46.19
    c) 46.15
    d) 46.17
13. Divide 765 by 12. The quotient is _______.
    a) 63 remainder 9
    b) 63 remainder 11
    c) 64 remainder 9
    d) 64 remainder 10
14. What is the result of 2345 ÷ 67?
    a) 35 remainder 0
    b) 34 remainder 56
    c) 34 remainder 57
    d) 34 remainder 0
15. Divide 8765 by 123. The quotient is _______.
    a) 71 remainder 2
    b) 71 remainder 8
    c) 71 remainder 17
    d) 70 remainder 65

Class Activity Discussion

1. Q: How do you divide a whole number by a 2-digit number?
   A: Divide step-by-step, bringing down each digit, and if there’s a remainder, note it.
2. Q: What is the first step in dividing decimal numbers?
   A: Move the decimal point in both the divisor and the dividend to make the divisor a whole number.
3. Q: How do you handle remainders when dividing whole numbers?
   A: Write the remainder as a whole number, or continue dividing to get a decimal.
4. Q: What is 1234 ÷ 56?
   A: 22 remainder 2
5. Q: How do you solve real-life problems involving division?
   A: Identify the total quantity and the number of groups, then divide to find the quantity per group.
6. Q: What is 12.34 ÷ 4.56?
   A: 2.71
7. Q: What do you do if a division problem involves a remainder?
   A: You can either leave the remainder or express it as a fraction or decimal.
8. Q: What is the answer to 5678 ÷ 123?
   A: 46 remainder 10
9. Q: How do you interpret the remainder in a real-life division problem?
   A: The remainder can indicate how much is left over or what needs to be done next.
10. Q: What is 567.89 ÷ 3.45 in words?
    A: One hundred sixty-four point seven two
11. Q: Why do you move the decimal point when dividing decimal numbers?
    A: To simplify the division by making the divisor a whole number.
12. Q: How do you check if your division is correct?
    A: Multiply the quotient by the divisor and add the remainder, if any, to see if it matches the original dividend.
13. Q: What is the quotient when dividing 987 by 13?
    A: 75 remainder 12
14. Q: What do you do after dividing each digit in a long division problem?
    A: Bring down the next digit and continue dividing until all digits have been used.
15. Q: How do you solve quantitative reasoning problems involving division?
    A: Apply logical thinking to break down the problem, then use division to find the solution.

Presentation

Step 1: Revising the Previous Topic

• Start the lesson by reviewing the multiplication of whole numbers and decimals.
• Discuss how multiplication and division are inverse operations.

Step 2: Introducing the New Topic 

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

• Engage pupils in solving sample problems.
• Correct any errors and provide feedback.

Teacher’s Activities

• Demonstrate division problems on the board.
• Provide practice worksheets and real-life scenarios for pupils to solve.
• Monitor and assist pupils as needed.

Learners’ Activities

• Solve division problems individually and in groups.
• Share solutions and reasoning with the class.
• Apply division skills to real-life scenarios.

Assessment

• Evaluate pupils’ ability to divide whole numbers and decimals.
• Check their understanding through real-life division problems and quantitative reasoning.

Evaluation Questions

1. Divide 1467 by 23. Write the answer in words.
2. What is 7.89 ÷ 2.1?
3. Solve: 852 ÷ 39.
4. What is 0.56 ÷ 0.7?
5. How would you divide 900 oranges among 18 people?
6. Divide 2345 by 45. Write the quotient in words.
7. What is 5.76 ÷ 0.48?
8. Solve: 9999 ÷ 123.
9. How do you handle a remainder in a division problem?
10. What is the answer to 12.45 ÷ 0.5 in words?

Conclusion

• Review the key concepts of division, ensuring pupils understand both whole number and decimal divisions.
• Provide feedback on practice problems and discuss any common errors.
• Assign additional division problems for practice.