Further Mathematics - Senior Secondary 2 - Differentiation

Differentiation

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TERM: 2ND TERM

WEEK: 4

Class: Senior Secondary School 2
Age: 16 years
Duration: 40 minutes of 4 periods
Subject: Further Mathematics
Topic: Differentiation
Focus: Application of Differentiation to Rate of Change, Gradient, Maximum and Minimum Values, Equation of Motion

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

  1. Apply differentiation to find the rate of change of a function.
  2. Use differentiation to find the gradient of a curve at a given point.
  3. Use differentiation to determine the maximum and minimum values of a function (optimization).
  4. Derive the equation of motion for an object under uniform acceleration.

INSTRUCTIONAL TECHNIQUES:

  • Question and answer
  • Guided demonstration
  • Discussion
  • Practice exercises
  • Real-life applications

INSTRUCTIONAL MATERIALS:

  • Whiteboard and markers
  • Chart showing areas of application of differentiation (rate of change, gradient, optimization, and equations of motion)
  • Graphing calculator (if available)
  • Example problems on charts

PERIOD 1 & 2: Rate of Change and Gradient of a Function

PRESENTATION: