Page 9 - ADVANCED MATH F.5

Form Five Form Five

Types of sets
Teaching steps
1. Guide students in groups, to discuss various types of sets,
including the empty or null set, equal sets, equivalent sets,
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subsets, finite and infinite sets, proper and improper subsets,
supersets, power sets, singleton set, and universal set.

2. Design activities to empower students’ understanding of types
of sets.
3. Encourage students to explore more explanations on types
of sets from additional resources, such as online tutorials, or
reference books in order to enrich their understanding and
practice further.
4. Guide students to use Examples 1.3 to 1.13 in the Student’s
Book to discuss various types of sets.
5. Instruct students to attempt Exercise 1.2 in the Student’s
Book. Advise students to submit their work, check the
correctness of their answers, and provide constructive feedback
if necessary.

Answers to Exercise 1.2

1. (a) Infinite set – Number of all plants on the earth is uncountable
(b) Infinite – Real numbers between 10 and 30 are uncountable
(c) Infinite – Non odd numbers between 10 and 20 inclusive are
uncountable

2. T and R are equivalent
T and R are equal
H and T are unequal
H and R are unequal

3. (a) True (b) True (c) True (d) False (e) False

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Mathematics for Advanced Secondary Schools

30/06/2024 18:01:40
ADVANCED MATH F.5 TG CHAPTERS.indd 3
ADVANCED MATH F.5 TG CHAPTERS.indd 3 30/06/2024 18:01:40