Further Mathematics - Senior Secondary 1 - Logarithms

Logarithms

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TERM: 1ST TERM

WEEK 4
Class: Senior Secondary School 1
Age: 15 years
Duration: 40 minutes of 4 periods
Subject: Further Mathematics
Topic: Logarithms
Focus:
i. Laws of Logarithms
ii. Change of Base of Logarithms

SPECIFIC OBJECTIVES:

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

  1. State and explain the laws of logarithms.
  2. Apply the laws of logarithms to simplify expressions.
  3. Understand and apply the change of base formula.
  4. Solve logarithmic problems using change of base.

INSTRUCTIONAL TECHNIQUES:

  • Direct instruction
    • Guided problem solving
    • Question and answer
    • Drill and practice
    • Use of charts and visual aids

  1. Explain the change of base rule with one solved example.
  2. Evaluate log₆36 using a calculator.
  3. Evaluate log₃9 using change of base.
  4. Express log₄64 using log₁₀.
  5. Evaluate log₇343 using change of base rule.