Mathematics - Junior Secondary 2 - Multiplication and Division of Directed and Non-Directed Numbers

Multiplication and Division of Directed and Non-Directed Numbers

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TERM: 1st TERM

WEEK 6

Class: Junior Secondary School 2
Age: 13 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Multiplication and Division of Directed and Non-Directed Numbers
Focus: Directed and non-directed numbers, square and square roots tables

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

  1. Understand the difference between directed and non-directed numbers.
  2. Multiply and divide directed numbers (positive and negative).
  3. Solve multiplication and division problems with both directed and non-directed numbers.
  4. Understand and apply the concepts of square numbers and square roots.
  5. Use square and square root tables for calculations.

Instructional Techniques:
• Direct teaching
• Guided practice
• Problem-solving
• Drills and exercises

Instructional Materials:
• Square and square root tables
• Whiteboard and marker
• Flashcards

 

PERIOD 1 & 2: Understanding Directed and Non-Directed Numbers

Presentation:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 – Introduction

Explains directed and non-directed numbers, with examples.

Pupils listen and ask questions.

Step 2 – Explanation

Demonstrates multiplication and division of directed and non-directed numbers.

Pupils follow examples on the board.

Step 3 – Practice

Provides guided practice problems on multiplication and division.

Pupils solve problems in pairs.

Step 4 - Note Taking

Teacher writes summary and examples on the board.

Pupils copy notes.

Note on Board:
• Directed numbers: +5, -5, +7, -3
• Non-directed numbers: 2, 4, 8, 10

Evaluation (5 exercises):

  1. Multiply: (+5) × (-4)
  2. Divide: (-9) ÷ 3
  3. Multiply: (-6) × (+3)
  4. Divide: (+12) ÷ (-4)
  5. Multiply: (+7) × (+6)

Classwork (5 questions):

  1. Multiply: (-3) × (+6)
  2. Divide: (+15) ÷ (-5)
  3. Multiply: (+4) × (-2)
  4. Divide: (-10) ÷ (+2)
  5. Multiply: (-5) × (+8)

Assignment (5 tasks):

  1. Divide: (-16) ÷ (+4)
  2. Multiply: (+9) × (-7)
  3. Divide: (+30) ÷ (-5)
  4. Multiply: (+10) × (+2)
  5. Divide: (-24) ÷ (-6)

 

PERIOD 3 & 4: Square Numbers and Square Roots

Presentation:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 – Introduction

Explains the concept of square numbers and square roots.

Pupils listen and ask questions.

Step 2 – Explanation

Demonstrates square numbers (e.g., 3² = 9) and square roots (e.g., √16 = 4).

Pupils follow examples on the board.

Step 3 – Practice

Provides guided practice problems on squares and square roots.

Pupils solve problems in pairs.

Step 4 - Note Taking

Teacher writes summary and examples on the board.

Pupils copy notes.

Note on Board:
• Square of 3: 3² = 9
• Square of 4: 4² = 16
• Square root of 16: √16 = 4

Evaluation (5 exercises):

  1. Find the square of 5.
  2. Find the square root of 49.
  3. Find the square of 6.
  4. Find the square root of 81.
  5. Find the square of 8.

Classwork (5 questions):

  1. Find the square of 7.
  2. Find the square root of 64.
  3. Find the square of 9.
  4. Find the square root of 36.
  5. Find the square of 12.

Assignment (5 tasks):

  1. Find the square of 10.
  2. Find the square root of 100.
  3. Find the square of 11.
  4. Find the square root of 144.
  5. Find the square of 15.

 

PERIOD 5: Multiplication and Division with Directed Numbers

Presentation:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 – Introduction

Introduces problems involving multiplication and division with directed numbers.

Pupils listen and ask questions.

Step 2 – Explanation

Solves problems using directed numbers.

Pupils follow and solve examples.

Step 3 – Practice

Provides problems for pupils to solve independently.

Pupils solve problems in pairs.

Step 4 - Note Taking

Teacher writes summary and examples on the board.

Pupils copy notes.

Evaluation (5 questions):

  1. Multiply: (+8) × (-2)
  2. Divide: (-16) ÷ (+4)
  3. Multiply: (-5) × (+3)
  4. Divide: (+20) ÷ (-5)
  5. Multiply: (-7) × (-6)

Classwork (5 questions):

  1. Divide: (+36) ÷ (-9)
  2. Multiply: (-9) × (+5)
  3. Divide: (-30) ÷ (+6)
  4. Multiply: (+4) × (-3)
  5. Divide: (-72) ÷ (-9)

Assignment (5 tasks):

  1. Multiply: (+15) × (-2)
  2. Divide: (-24) ÷ (+8)
  3. Multiply: (+6) × (+7)
  4. Divide: (-36) ÷ (-9)
  5. Multiply: (+9) × (-5)