Page 8 - ADVANCED MATH F.5

Form Five Form Five

Methods of representing sets
Teaching steps
1. Guide students through discussion to brainstorm on the basic
concept of sets from their learning experience. Ask students to
FOR ONLINE READING ONLY
visit nearby real environment and search for different types of
objects.
2. Design hands on activities and ask students to discuss the three
methods of representing sets, descriptive, roster method, and
set builder notation. Encourage students to explore additional
resources, such as online tutorials or reference books, to
deepen their understanding and further practice.
3. Use Examples 1.1 and 1.2 in the Student’s Book to guide
students to discuss methods of representing sets.

4. Instruct students to attempt Exercise 1.1 in the Student’s Book.
Advise students to submit their work, check the correctness
of their answers, and provide constructive feedback.

Answers to Exercise 1.1

1. (a) A = {Cubes of all positive integers { or

{Cubes of all natural numbers {
(b) B = {Multiples of 3 {
(c) C = {All integers from –4 to 4 inclusive {

(d) D = {Domestic animals {
2. (a) A = { :xx 2 , x∈ } (e) E = { : is a positive even numberxx }

whole numbers
F
(b) B = { :xx 3 , x∈ } (f) F = { :xx= { ∈W { }

(c) C = { :xx = − 3 and x = } 3 .

}
:
≤≤
(d) D = { :xx∈ (g) xx = n , for 1 n 7, n∈  

 n + 1 
}
1,
3. (a) A = { 1,1− } (b) B = {3,4,5,6,... (c) C = { } 3
2
Mathematics for Advanced Secondary Schools

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