Further Mathematics - Senior Secondary 2 - Binomial expansion

Binomial expansion

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TERM: 2ND TERM

WEEK: 6
Class: Senior Secondary School 2
Age: 16 years
Duration: 40 minutes of 4 periods
Subject: Further Mathematics
Topic: Binomial Expansion
Focus: Pascal Triangle, Binomial Expression of  for Positive Integers, Negative Integers, and Fractional Values.

SPECIFIC OBJECTIVES:

By the end of the lesson, students should be able to:

  1. Understand the structure and construction of Pascal’s Triangle.
  2. Write the binomial expansion for positive integer values of n.
  3. Extend the binomial expansion to negative integers and fractional values.
  4. Recognize the patterns in the coefficients of the binomial expansion.

INSTRUCTIONAL TECHNIQUES:

  • Question and answer
  • Guided demonstration
  • Discussion
  • Practice exercises
  • Hands-on construction (Pascal Triangle)
  • Real-life applications

INSTRUCTIONAL MATERIALS:

  • Whiteboard and markers
  • Charts showing Pascal Triangle
  • Worksheets for binomial expansion practice
  • Flashcards for binomial coefficients

 

PERIOD 1 & 2: Introduction to Pascal Triangle