Page 45 - ADVANCED MATH F.5

Form Five Form Five

6. 73x − 2 156x + 9y − 2 18y − 63 0=
7. 3x + 2 3y + 2 2x + 16y + 25 0=

8. 8x + 2 8y − 2 228x − 224y + 2540 0=
FOR ONLINE READING ONLY
9. 2484x + 2 2500y − 2 19800x − 25000y + 400 0=

10. 2x + 3y + 10 0=

Ratio theorem
Teaching steps
1. Guide students through discussion to deduce the formula for
division of a line segment internally. Use Figure 3.4 in the
Student’s Book to demonstrate through discussion derivation
of the formula for computing the coordinates of a point
dividing a line segment internally.

2. Assist students through discussion to deduce the formula
for dividing a line segment externally. Use Figure 3.5 in the
Student’s Book to demonstrate through discussion derivation
of the formula for computing the coordinates of a point
dividing a line segment externally.
3. Allow students through discussion to share alternative
methods of deriving the formula for internal and external
division of a line segment.

4. For further discussion, guide students to discuss Examples
3.8 to 3.11 in the Student’s Book, and give them constructive
feedback.
5. Instruct students to attempt Exercise 3.4 in the Student’s Book.
Advise them 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

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ADVANCED MATH F.5 TG CHAPTERS.indd 39
ADVANCED MATH F.5 TG CHAPTERS.indd 39 30/06/2024 18:01:51