Mathematics - Junior Secondary 2 - Whole numbers

Whole numbers

Get it on Google Play
Get it on the Apple App Store
  1. Home
  2. Comprehensive Lesson Plan and Notes
  3. Junior Secondary 2
  4. Whole numbers

TERM: 1st TERM

WEEK 1
Class: Junior Secondary School 2
Age: 13 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Whole Numbers
Focus: Whole Numbers in Standard Form, Decimal Numbers in Standard Form, Prime Factors
SPECIFIC OBJECTIVES:
By the end of the lesson, pupils should be able to:

  1. Write whole numbers in standard form.
  2. Convert decimal numbers into standard form.
  3. Identify prime factors of a number.
  4. Apply the knowledge of standard form to solve real-life problems.

INSTRUCTIONAL TECHNIQUES:

  • Question and answer
  • Guided demonstration
  • Discussion
  • Drills and exercises
  • Real-life application

INSTRUCTIONAL MATERIALS:

  • Place value charts
  • Flashcards
  • Whiteboard and marker
  • Worksheets

 

PERIOD 1 & 2: Whole Numbers in Standard Form
PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Explains the concept of standard form, emphasizing that it’s a way of expressing large numbers using powers of 10.

Pupils listen, ask and answer questions.

Step 2 - Explanation

Writes examples of large numbers like 10,000 and 50,000,000 in standard form (1.0 × 10^4, 5.0 × 10^7).

Pupils repeat and practice writing numbers in standard form.

Step 3 - Demonstration

Uses charts and flashcards to demonstrate how to convert numbers into standard form.

Pupils practice converting numbers on their own using guided examples.

Step 4 - Note Taking

Teacher writes examples on the board, pupils copy down the explanation and examples.

Pupils take notes.

NOTE ON BOARD:

  • 10,000 = 1.0 × 10^4
  • 50,000,000 = 5.0 × 10^7

EVALUATION (5 exercises):

  1. Write 400,000 in standard form.
  2. Write 80,000,000 in standard form.
  3. Convert 2.3 × 10^5 to a whole number.
  4. Convert 3.0 × 10^6 to a whole number.
  5. Convert 6,000,000 to standard form.

CLASSWORK (5 questions):
Write the following numbers in standard form:

  1. 15,000
  2. 9,000,000
  3. 120,000,000
  4. 7,000
  5. 40,000,000

ASSIGNMENT (5 tasks):

  1. Convert 15,000 to standard form.
  2. Convert 250,000 to standard form.
  3. Convert 9.0 × 10^8 to a whole number.
  4. Convert 50,000,000 to standard form.
  5. Write 1,000,000 in standard form.

 

PERIOD 3 & 4: Decimal Numbers in Standard Form
PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Explains decimal numbers and how they are written in standard form (using negative powers of 10).

Pupils listen and ask questions.

Step 2 - Explanation

Writes examples of decimal numbers like 0.00045 and 0.0045 in standard form (4.5 × 10^-4, 4.5 × 10^-3).

Pupils practice converting decimal numbers to standard form.

Step 3 - Demonstration

Uses charts and flashcards to show how decimal numbers are converted to standard form.

Pupils practice with examples.

Step 4 - Note Taking

Teacher writes down the explanation and examples, pupils copy the notes.

Pupils take notes.

NOTE ON BOARD:

  • 0.00045 = 4.5 × 10^-4
  • 0.0045 = 4.5 × 10^-3

EVALUATION (5 exercises):

  1. Write 0.00023 in standard form.
  2. Write 0.0089 in standard form.
  3. Convert 5.0 × 10^-5 to a decimal number.
  4. Convert 2.5 × 10^-2 to a decimal number.
  5. Convert 0.00005 to standard form.

CLASSWORK (5 questions):
Write the following decimal numbers in standard form:

  1. 000005
  2. 0006
  3. 0024
  4. 0000008
  5. 02

ASSIGNMENT (5 tasks):

  1. Convert 0.000003 to standard form.
  2. Convert 0.0089 to standard form.
  3. Write 7.0 × 10^-3 as a decimal.
  4. Convert 5.0 × 10^-6 to a decimal number.
  5. Convert 0.0001 to standard form.

 

PERIOD 5: Prime Factors
PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Introduces the concept of prime factors and their importance in simplifying numbers.

Pupils listen and ask questions.

Step 2 - Explanation

Demonstrates how to break down numbers into their prime factors. Example: 60 = 2 × 2 × 3 × 5.

Pupils follow along and practice prime factorization of given numbers.

Step 3 - Demonstration

Guides pupils to break down more numbers using prime factor trees.

Pupils work in pairs to solve prime factorization problems.

Step 4 - Note Taking

Teacher writes example on board, pupils copy it down.

Pupils take notes.

NOTE ON BOARD:

  • 60 = 2 × 2 × 3 × 5
  • 72 = 2 × 2 × 2 × 3 × 3

EVALUATION (5 exercises):

  1. Find the prime factors of 36.
  2. Find the prime factors of 100.
  3. Find the prime factors of 50.
  4. Find the prime factors of 81.
  5. Find the prime factors of 120.

CLASSWORK (5 questions):
Prime factorization of:

  1. 56
  2. 100
  3. 72
  4. 150
  5. 81

ASSIGNMENT (5 tasks):

  1. Find the prime factors of 144.
  2. Find the prime factors of 45.
  3. Break 120 into prime factors.
  4. Find the prime factors of 200.

Break 96 into prime factors.