Further Mathematics - Senior Secondary 2 - Conic Section: The Circle

Conic Section: The Circle

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TERM: 2ND TERM

WEEK 10
Class: Senior Secondary School 2
Age: 16 years
Duration: 40 minutes of 4 periods
Subject: Further Mathematics
Topic: Conic Section: The Circle
Subtopics:

  • Equation of the tangent to a circle
  • Length of the tangent to a circle

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

  1. Derive the equation of the tangent to a circle.
  2. Understand and calculate the length of the tangent to a circle.

INSTRUCTIONAL TECHNIQUES:
• Guided demonstration
• Problem-solving
• Discussion
• Practice exercises
• Analogy and real-life connections

INSTRUCTIONAL MATERIALS:
• Whiteboard and markers
• Charts showing the tangent to a circle and its length
• Flashcards with different circle equations
• Worksheets for practice

PERIOD 1 & 2: Equation of Tangent to a Circle

PRESENTATION:

Step

Teacher’s Activity

Student’s Activity

Step 1 - Introduction

Introduces the concept of a tangent to a circle. Explains that a tangent touches a circle at exactly one point and is perpendicular to the radius at the point of contact.

Students listen attentively and ask clarifying questions.