Mathematics - Junior Secondary 2 - Linear inequalities

Linear inequalities

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TERM: 2ND TERM

WEEK 2
Class: Junior Secondary School 2
Age: 13 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Linear Inequalities
Focus: Definition of Linear Inequalities, Word Problems leading to Simple Inequalities in One Variable

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

  1. Define linear inequalities.
  2. Solve linear inequalities in one variable.
  3. Apply inequalities to real-life word problems.

INSTRUCTIONAL TECHNIQUES:

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

INSTRUCTIONAL MATERIALS:

  • Whiteboard and marker
    • Worksheets
    • Flashcards

PERIOD 1 & 2: Introduction to Linear Inequalities

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 – Introduction

Introduces the concept of inequalities and explains the inequality signs.

Pupils listen and ask questions.

Step 2 – Explanation

Explains the difference between equations and inequalities, with examples.

Pupils copy examples.

Step 3 – Demonstration

Solves an inequality step by step. Example: 3x + 4 > 10

Pupils solve similar problems.

Step 4 - Note Taking

Teacher writes the solution steps on the board.

Pupils copy and practice.

NOTE ON BOARD:

  • 3x + 4 > 10
  • x > 2
  • Inequality: A mathematical statement that compares two expressions.

EVALUATION (5 exercises):

  1. Solve: 2x - 3 > 7
  2. Solve: 5x + 2 < 20
  3. Solve: 3x + 6 ≤ 12
  4. Solve: 4x – 5 > 11
  5. Solve: 6x + 1 ≥ 13

CLASSWORK (5 questions):

  1. Solve: x + 3 < 10
  2. Solve: 5x ≥ 25
  3. Solve: 2x - 4 ≤ 8
  4. Solve: 3x - 1 > 5
  5. Solve: 7x ≤ 42

ASSIGNMENT (5 tasks):

  1. Solve: x - 5 > 3
  2. Solve: 3x + 2 ≤ 8
  3. Solve: 4x - 6 ≥ 18
  4. Solve: 2x + 4 < 10
  5. Solve: 3x - 2 > 7

 

PERIOD 3 & 4: Word Problems Leading to Simple Inequalities

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Introduces real-life situations that lead to inequalities.

Pupils listen and ask questions.

Step 2 - Explanation

Explains how to form an inequality from a word problem. Example: "A number less than 10" gives x < 10.

Pupils practice forming inequalities.

Step 3 - Demonstration

Gives more word problems for pupils to solve as a class.

Pupils work together to solve problems.

Step 4 - Note Taking

Teacher writes key steps and examples on the board.

Pupils copy and practice solving word problems.

NOTE ON BOARD:

  • Word Problem: "A number is greater than 8."
  • Inequality: x > 8
  • Solve: x > 8

EVALUATION (5 exercises):

  1. "A number is less than 15." Write the inequality.
  2. "Three times a number is less than 9." Write the inequality.
  3. "The sum of a number and 4 is at least 12." Write the inequality.
  4. "Twice a number is greater than 10." Write the inequality.
  5. "A number minus 5 is at most 7." Write the inequality.

CLASSWORK (5 tasks):

  1. "A number is less than 6." Write the inequality.
  2. "Twice a number is more than 12." Write the inequality.
  3. "A number plus 2 is at most 8." Write the inequality.
  4. "A number multiplied by 3 is less than 15." Write the inequality.
  5. "A number is at least 10." Write the inequality.

ASSIGNMENT (5 tasks):

  1. Solve: x < 5
  2. Solve: 2x > 10
  3. Write a word problem that leads to the inequality x + 5 < 12.
  4. Solve: 3x ≤ 9

Write a word problem for the inequality x ≥ 4.