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

Conic Section: The Circle

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TERM: 2ND TERM

WEEK: 9
Class: Senior Secondary School 2
Age: 16 years
Duration: 40 minutes of 4 periods
Subject: Further Mathematics
Topic: Conic Section: The Circle
Focus: General equation of a circle, finding the center and radius, equation of a circle from the end points of the diameter, equation of a circle passing through three points.
SPECIFIC OBJECTIVES:
By the end of the lesson, students should be able to:

  1. Identify and recall the general equation of a circle.
  2. Find the center and radius of a given circle.
  3. Find the equation of a circle when the endpoints of the diameter are given.
  4. Find the equation of a circle passing through three points.

INSTRUCTIONAL TECHNIQUES:
• Guided practice
• Problem-solving and demonstrations
• Discussions
• Interactive exercises
• Visual aids

INSTRUCTIONAL MATERIALS:
• Whiteboard and markers
• Chart showing the general equation of a circle and equation passing through three points
• Graphing tools or software for plotting
• Worksheets for practice

 

PERIOD 1 & 2: Introduction to the General Equation of a Circle and Finding the Center and Radius

PRESENTATION:

             5. Explain the steps in finding the equation of a circle passing through three points.