Mathematics - Junior Secondary 2 - Algebraic expressions (continued)

Algebraic expressions (continued)

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TERM: 1st TERM

WEEK 8
Class: Junior Secondary School 2
Age: 13 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Algebraic Expressions Continued
Focus: Factorization and Expansion of Quadratic Expressions

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

  1. Factorize simple algebraic expressions.
  2. Expand and factorize quadratic expressions.
  3. Solve quadratic equations by factorization.

INSTRUCTIONAL TECHNIQUES:
• Question and answer
• Group work
• Guided demonstration
• Practice exercises

INSTRUCTIONAL MATERIALS:
• Flashcards
• Whiteboard and markers
• Worksheets
• Algebraic expression charts

PERIOD 1 & 2: Factorization of Simple Algebraic Expressions
PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Reviews previous lessons on algebraic expressions. Introduces factorization.

Pupils recall terms like coefficient and variable.

Step 2 - Explanation

Defines factorization: breaking down an expression into its factors.

Pupils ask questions and engage in discussion.

Step 3 - Demonstration

Demonstrates how to factorize expressions like 2x + 6.

Pupils solve similar problems with guidance.

Step 4 - Note Taking

Teacher writes key steps for factorization on the board.

Pupils take notes.

NOTE ON BOARD:

  • Factorization: Breaking down an expression into simpler expressions (factors).
  • Example: 2x + 6 = 2(x + 3)
  • Common factors: Numbers or terms that can divide the entire expression.

EVALUATION (5 exercises):

  1. Factorize 4x + 8.
  2. Factorize 3a + 9.
  3. Factorize 2x + 10.
  4. Factorize 5y + 15.
  5. Factorize 6z + 18.

CLASSWORK (5 questions):

  1. Factorize 10x + 20.
  2. Factorize 4p + 12.
  3. Factorize 7q + 14.
  4. Factorize 2t + 4.
  5. Simplify the expression 6x + 12.

ASSIGNMENT (5 tasks):

  1. Factorize 8x + 16.
  2. Factorize 3m + 9.
  3. Factorize 5z + 15.
  4. Factorize 2p + 10.

Write an expression and factorize it: 12x + 24.