Page 48 - ADVANCED MATH F.5

Form Five Form Five

Equation of a circle given the endpoints of its diameter
Teaching steps
1. Use Figure 3.7 in the Student’s Book to assist students in
describing a circle given the endpoints of a diameter. Guide
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students through discussion to deduce the formula for the
equation of a circle given the endpoints of a diameter.
2. Allow students to share alternative methods of deriving the
general equation of a circle given the end points of a diameter.
Advise students to present their findings on a flip chart or
manila cards. Guide them to make presentations for more
inputs.
3. For further discussion, guide students to discuss Example
3.15 in the Student’s Book, and provide them constructive
feedback.

4. Design an activity which will engage students in groups to
explore other examples for determining the equation of a
circle given the end points of a diameter.

Equation of a circle passing through three given points
Teaching steps

1. Use Figure 3.8 in the Student’s Book to assist students in
describing the circle passing through three given points.
2. Allow students to share alternative methods of deriving the
general equation of the circle passing through three given
points. Advise them to display their findings on the manila
card. Guide them to make presentations for more inputs.
3. Using Example 3.16 in the Student’s Book, engage students in
finding the equation of the circle.
4. Instruct students to attempt Exercise 3.6 in the Student’s Book.
Advise them to submit their work, check the correctness of the
answers, and provide them constructive feedback.

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Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 42
ADVANCED MATH F.5 TG CHAPTERS.indd 42 30/06/2024 18:01:51