Integration I

Grade 12 · Mathematics

Semester 2 | Period 4 | Week 20

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Subject: Mathematics

Semester: 2

Period: 4

Week: 20

WEEK 20

Class: Grade 12
Age: 17 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Integration I
Focus:

  1. Integration as Anti-Differentiation
  2. Techniques of Integration (Standard Integrals)
  3. Integration of Algebraic Functions
  4. Special Integrals
  5. Integration by Substitution

SPECIFIC OBJECTIVES:

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

  1. Understand the concept of integration as the reverse process of differentiation.
  2. Apply the substitution method for integrating functions.
  3. Use integration by parts to solve complex integrals.
  4. Understand and apply integration by partial fractions.
  5. Use standard integral charts for solving various functions.

INSTRUCTIONAL TECHNIQUES:

  • Explanation and demonstration
    • Guided practice
    • Class discussions
    • Problem-solving sessions
    • Analogies and real-life examples

INSTRUCTIONAL MATERIALS:

  • Integration charts
    • Standard integral charts
    • Whiteboard and markers
    • Sample problems and exercises
    • Graphing calculators (if available)