Further Mathematics - Senior Secondary 1 - Sequences and series

Sequences and series

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TERM: 2ND TERM

WEEK 2
Class: Senior Secondary School 1
Age: 15 years
Duration: 40 minutes of 4 periods
Subject: Further Mathematics
Topic: Sequences and Series
Subtopics:
i. Geometric Progression (GP)
ii. Solving Problems on Arithmetic Progression (AP) and Geometric Progression (GP)

Focus:

  • Convergent and divergent geometric progressions.
  • Finding the sum to infinity of convergent geometric progressions.

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

  1. Define geometric progression and identify its terms.
  2. Recognize convergent and divergent geometric progressions.
  3. Solve problems related to geometric progression.
  4. Calculate the sum to infinity of a convergent geometric progression.

 

INSTRUCTIONAL TECHNIQUES:

  • Guided discussion
  • Question and answer
  • Demonstration
  • Practice exercises
  • Real-life connections
  • Visual aids (charts, graphs)

 

INSTRUCTIONAL MATERIALS:

  • Whiteboard and markers
  • Charts of examples of convergent and divergent geometric progressions
  • Graphs illustrating the behavior of GP sequences
  • Worksheets with exercises on geometric progression
  • Calculators (optional)

 

PERIOD 1 & 2: Introduction to Geometric Progression (GP)

PRESENTATION: