Mathematics - Primary 5 - Multiplication and Division of Whole Numbers

Multiplication and Division of Whole Numbers

Term: 1st Term

Week 4

Class: Primary 5
Age: 10 years
Duration: 40 minutes of 5 periods
Date:
Subject: Mathematics
Topic: Multiplication and Division of Whole Numbers

SPECIFIC OBJECTIVES:

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

  1. Multiply and divide numbers with 3 digits by 3 digits.
  2. Solve real-life problems involving multiplication and division of whole numbers.
  3. Multiply numbers by zero and one.
  4. Divide numbers by 10 and multiples of 10 up to 90, 100, 200, and 1000.
  5. Solve quantitative aptitude problems on multiplication and division of whole numbers.

INSTRUCTIONAL TECHNIQUES:

  • Demonstration
    • Group activities
    • Problem-solving approach
    • Use of teaching aids (charts, number lines, etc.)
    • Interactive discussions

INSTRUCTIONAL MATERIALS:

  • Charts showing multiplication and division steps
    • Flashcards with multiplication and division problems
    • Whiteboard, markers, and erasers
    • Real-life objects (e.g., books, toys, etc.)
    • Worksheets for exercises

 

PERIOD 1 & 2:

Step 1 - INTRODUCTION

  • Teacher introduces the topic of multiplication and division of whole numbers, explaining the importance of multiplication and division in real-life situations (e.g., sharing items, calculating total costs).
  • Teacher engages pupils with questions on their prior knowledge of multiplication and division.
    Pupil’s Activity: Pupils listen and ask questions for clarification.

Step 2 - EXPLANATION

  • Teacher explains how to multiply and divide 3-digit numbers by 3-digit numbers using step-by-step methods. Demonstrate with examples.
  • Teacher shows examples of multiplying by zero and one, explaining how the results are predictable.
    Pupil’s Activity: Pupils observe and take notes.

Step 3 - DEMONSTRATION

  • Teacher demonstrates how to solve problems on multiplication and division involving three-digit numbers by three-digit numbers, using the whiteboard for clear visualization.
  • Teacher also demonstrates how to divide numbers by 10 and multiples of 10 (up to 1000), using practical examples.
    Pupil’s Activity: Pupils participate by solving similar problems on their own using the whiteboard.

Step 4 - NOTE TAKING

  • Pupils take notes on the methods used for multiplying and dividing numbers.
    Pupil’s Activity: Pupils write down examples and steps from the whiteboard.

 

NOTE (On the Board):

  • Multiplying 3-Digit Numbers:
    Example: 345 × 567 = 195,315
    • Break down the numbers for each place value and multiply step by step.
  • Dividing 3-Digit Numbers:
    Example: 567 ÷ 3 = 189
    • Divide step by step with remainders where necessary.
  • Multiplying by Zero and One:
    • Example: 234 × 0 = 0, 234 × 1 = 234
  • Division by 10 and Multiples of 10:
    • Example: 100 ÷ 10 = 10, 234 ÷ 100 = 2.34
    • Use the number line method to explain division by multiples of 10.

 

EVALUATION:

  • Ask pupils to solve multiplication and division problems (with 3-digit numbers by 3-digit numbers).
  • Provide examples for pupils to practice with in pairs or individually.
    Pupil’s Activity: Pupils work on problems and discuss solutions with peers.

CLASSWORK:

  • Solve multiplication and division problems with 3-digit numbers by 3-digit numbers.
  • Multiply numbers by zero and one.
    Pupil’s Activity: Pupils complete classwork independently.

ASSIGNMENT:

  • Solve 10 multiplication and division problems with 3-digit numbers.
  • Divide a set of numbers by 10, 100, and 1000 and record the results.

CONCLUSION:

  • Teacher commends the pupils for their active participation and explains the importance of mastering multiplication and division in daily life.
    Pupil’s Activity: Pupils thank the teacher and prepare for the next period.

 

PERIOD 3 & 4:

Step 1 - INTRODUCTION

  • Recap the previous lesson on multiplication and division and move to solve real-life problems.
  • Teacher explains how multiplication and division can be applied to situations like calculating total costs or distributing items evenly.
    Pupil’s Activity: Pupils recall previous lessons and listen to the new topic.

Step 2 - EXPLANATION

  • Teacher gives real-life examples involving multiplication and division, such as calculating the total price of items when there are multiple quantities or dividing a number of objects equally among a group.
    Pupil’s Activity: Pupils listen, observe, and take notes.

Step 3 - DEMONSTRATION

  • Teacher demonstrates how to apply multiplication and division in real-life scenarios using word problems.
    Example: “If 45 books cost 234 Naira, how much would 3 sets of 45 books cost?”
  • Teacher also provides division problems where pupils must divide items among groups.
    Pupil’s Activity: Pupils follow along with the demonstration, and attempt similar problems.

Step 4 - NOTE TAKING

  • Pupils take notes on how to use multiplication and division in practical situations.
    Pupil’s Activity: Pupils write down examples and steps for solving real-life problems.

 

NOTE (On the Board):

  • Example of Real-Life Multiplication:
    “If 45 books cost 234 Naira each, how much will 3 sets of books cost?”
    234 × 3 = 702 Naira.
  • Example of Real-Life Division:
    “If 150 pieces of candy are to be distributed among 5 children, how many pieces will each child get?”
    150 ÷ 5 = 30 pieces per child.

 

EVALUATION:

  • Ask pupils to solve word problems involving multiplication and division.
  • Provide examples for pupils to practice with individually.
    Pupil’s Activity: Pupils solve word problems and share solutions with the class.

CLASSWORK:

  • Solve 5 real-life word problems involving multiplication and division of whole numbers.
    Pupil’s Activity: Pupils complete classwork individually.

ASSIGNMENT:

  • Write and solve 3 word problems involving multiplication and division in everyday life.

CONCLUSION:

  • Teacher reinforces the importance of multiplication and division in daily activities and commends the pupils for their effort.
    Pupil’s Activity: Pupils thank the teacher and prepare for the next lesson.

 

PERIOD 5:

Step 1 - INTRODUCTION

  • Teacher introduces advanced multiplication and division strategies, focusing on dividing numbers by multiples of 10 up to 1000.
    Pupil’s Activity: Pupils listen attentively.

Step 2 - EXPLANATION

  • Teacher explains the concept of dividing numbers by multiples of 10 using simple examples and relates this to shifting decimal points.
    Pupil’s Activity: Pupils take notes and ask questions.

Step 3 - DEMONSTRATION

  • Teacher demonstrates how to divide large numbers by multiples of 10, 100, and 1000. Example: 234 ÷ 100 = 2.34.
    Pupil’s Activity: Pupils follow along with examples and practice solving similar problems.

Step 4 - NOTE TAKING

  • Pupils take notes on the steps involved in dividing numbers by multiples of 10.
    Pupil’s Activity: Pupils write down the steps and examples given.

 

NOTE (On the Board):

  • Division by 10, 100, and 1000:
    234 ÷ 10 = 23.4
    234 ÷ 100 = 2.34
    234 ÷ 1000 = 0.234
  • Shifting Decimal Points: When dividing by 10, shift the decimal point one place to the left.
    When dividing by 100, shift the decimal point two places to the left, and so on.

 

EVALUATION:

  • Ask pupils to solve problems on dividing by multiples of 10, 100, and 1000.
  • Provide further examples for practice.
    Pupil’s Activity: Pupils solve and share their answers.

CLASSWORK:

  • Complete a worksheet on dividing numbers by multiples of 10, 100, and 1000.
    Pupil’s Activity: Pupils solve problems on their worksheets.

ASSIGNMENT:

  • Divide 5 numbers by 10, 100, and 1000 and record the answers.

CONCLUSION:

  • Teacher praises the pupils for their hard work and encourages them to continue practicing division with larger numbers.

 

SUMMARY OF LESSON:
This week, pupils will learn about multiplication and division, including multiplying and dividing numbers with 3 digits by 3 digits, dividing by multiples of 10, and applying these skills in real-life problems. They'll practice these concepts using worksheets, interactive discussions, and real-life examples.