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

Conic Section: The Circle

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TERM: 2ND TERM

WEEK: 8
Class: Senior Secondary School 2
Age: 16 years
Duration: 40 minutes of 4 periods
Subject: Further Mathematics
Topic: Conic Section: The Circle
Focus: Definition of the Circle, Equation of Circle Given Centre and Radius.
SPECIFIC OBJECTIVES:
By the end of the lesson, students should be able to:

  1. Define a circle as a conic section.
  2. Understand the equation of a circle with a given centre and radius.
  3. Derive the general form of the equation of a circle.
  4. Solve problems involving the equation of a circle.

INSTRUCTIONAL TECHNIQUES:
• Question and answer
• Guided demonstration
• Discussion
• Practice exercises
• Analogy and real-life connections

INSTRUCTIONAL MATERIALS:
• Whiteboard and markers
• Chart depicting a circle as a section of a cone
• Worksheets for solving problems on circles
• Flashcards with different examples of equations of circles

PERIOD 1 & 2: Introduction to the Circle and Its Definition
PRESENTATION:

Step

Teacher’s Activity

Student’s Activity

Step 1 - Introduction

Teacher defines a circle as a conic section and explains its geometric properties.

Students listen attentively and ask questions for clarification.