Page 44 - ADVANCED MATH F.5

Form Five Form Five

Locus
Teaching steps

1. Design an activity that will assist students to understand the
concept of locus of a moving point. Use figures, models, or
FOR ONLINE READING ONLY
simulations through discussion to describe a point that moves
so that it satisfies a given condition.

2. Allow students through discussion to share alternative
methods of finding the locus of a moving point given a certain
condition.
3. For further discussion, guide the students to discuss Examples
3.6 and 3.7 in the Student’s Book, and give them constructive
feedback.
4. Instruct students to attempt Exercise 3.3 in the Student’s Book.
Advise students to submit their work, check the correctness of
the answers, and provide them constructive feedback where
necessary.

Answers to Exercise 3.3

2
2
1. (a) x = 4 (e) x + y − 8x + 12 0=
2
2
(b) y = 5 (f) x − 3y + 32y − 64 0=
(c) x + 2 y = 2 25 (g) 3x + 4y + 6x − 90=
2
2
2
2
(d) x + y + 4x + 6y − 51 0= (h) x = 3
8
2. 8x − 6y − 70=
2
3. y = 4ax
2
2
4. y − 3x + 34x = 91
,
5. 3x −3x − 11y 11y = 0 and= 0 and 11x +11x + 3y 3y = 0= 0

38
Mathematics for Advanced Secondary Schools

30/06/2024 18:01:51
ADVANCED MATH F.5 TG CHAPTERS.indd 38 30/06/2024 18:01:51
ADVANCED MATH F.5 TG CHAPTERS.indd 38