Further Mathematics - Senior Secondary 2 - Polynomials

Polynomials

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TERM: 1ST TERM

WEEK 4
Class: Senior Secondary School 2
Age: 16 years
Duration: 40 minutes of 4 periods
Subject: Further Mathematics
Topic: Polynomials
Focus: Reminder Theorem, Factor Theorem, and Factorization of Polynomials
SPECIFIC OBJECTIVES:
By the end of the lesson, students should be able to:

  1. Understand and apply the Remainder Theorem for polynomial division.
  2. Understand and apply the Factor Theorem to determine the factors of polynomials.
  3. Factorize polynomials using the Remainder and Factor Theorem.

INSTRUCTIONAL TECHNIQUES:
• Question and answer
• Guided demonstration
• Practice exercises
• Discussion
• Use of visual aids (charts showing sum of roots and product)

INSTRUCTIONAL MATERIALS:
• Whiteboard and markers
• Charts illustrating Remainder and Factor Theorem
• Flashcards with polynomial expressions
• Worksheets for factorization exercises

PERIOD 1 & 2: Introduction to the Remainder and Factor Theorem
PRESENTATION:

Step

Teacher’s Activity

Student’s Activity

Step 1 - Introduction

Explains the concept of polynomials and introduces the Remainder Theorem. Discusses how when a polynomial is divided by a linear divisor, the remainder is the value of the polynomial at the divisor’s root. Example: If dividing P(x)P(x) by (x−a)(x - a), then remainder = P(a)P(a).

Students listen attentively and ask clarifying questions.