Page 30 - ADVANCED MATH F.5

Form Five Form Five

Converse, inverse, and contrapositive
Teaching steps
1. Design hands on activities to empower students understanding
the concepts of converse, inverse, and contrapositive.
FOR ONLINE READING ONLY
Assist students through discussion to prepare truth tables of
the converse, inverse, and contrapositive of a conditional
statement using Tables 2.7 to 2.9 in the Student’s Book.
Advise students to write their work on a flip chart or manila
card ready for presentation or gallery walk.
2. Encourage students to explore other explanations of converse,
inverse, and contrapositive from additional resources, such as
online tutorials, or reference books, to enrich their understanding
and practice further.

3. Guide students to discuss Examples 2.12, 2.13, and 2.14
in the Student’s Book in writing the converse, inverse, and
contrapositive of conditional statements.

4. Assign students to attempt Exercise 2.3 in the Student’s Book.
Advise them to submit their work, check the correctness of
their answers, and provide them constructive feedback.

Answers to Exercise 2.3

1.(a) Inverse:If tomorrow is not Saturday, then Paul will not go to
the beach.
Converse: If Paul will go to the beach, then tomorrow is
Saturday.
Contrapositive: If Paul will not go to the beach, then tomorrow
is not Saturday.

(b) Inverse: If it is not raining, then the shop is not closed.
Converse: If the shop is closed, then it is raining.
Contrapositive: If the shop is not closed, then it is not raining.

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Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 24
ADVANCED MATH F.5 TG CHAPTERS.indd 24 30/06/2024 18:01:48