Page 51 - ADVANCED MATH F.5

Form Five Form Five

Point of intersection of circles
Teaching steps
1. Use Figure 3.11 in the Student’s Book to assist students in
describing two circles that touch each other externally. Guide
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students through group discussion to derive the condition for
two circles to intersect each other externally at one point.

2. Use Figure 3.12 in the Student’s Book to assist students in
describing two circles that touch each other internally. Guide
students through group discussion to derive the condition for
two circles to intersect each other internally at one point.
3. Use Figure 3.13 in the Student’s Book to assist students in
describing the intersection of two circles at two distinct
points. Guide students through group discussion to derive the
condition for two circles to intersect each other at two distinct
points.

4. Allow students to share alternative methods for deriving
conditions for two circles to touch each other externally,
internally, and to intersect at two distinct points.
5. For further discussion, guide students to discuss Examples
3.21, 3.22, and 3.23 in the Student’s Book, and give them
constructive feedback.

6. Instruct students to attempt Exercise 3.8 in the Student’s Book.
Advise students to submit their work, check the correctness of
the answers, and provide them constructive feedback where
necessary.

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Mathematics for Advanced Secondary Schools

30/06/2024 18:01:52
ADVANCED MATH F.5 TG CHAPTERS.indd 45
ADVANCED MATH F.5 TG CHAPTERS.indd 45 30/06/2024 18:01:52