Page 32 - ADVANCED MATH F.5

Form Five Form Five

3. (a) If two vectors are not orthogonal, then their dot product is not
zero.
(b) If the dot product of two vectors is zero, then they are orthogonal.
(c) If the dot product of two vectors is not zero, then the two vectors
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are not orthogonal.
4. (a) If Halima wont win, then she has no courage.
(b) One cannot be a sailor if is not strong.
(c) If a geometrical figure is not a rectangle, then it is not a square.

5. Converse (qr∧ ) → p
Inverse ~ p → ~(qr∧ )
Contrapositive ~(qr∧ ) → ~ p

6. (a) q → p (b) ~(q → ~ )r → p
(c) ~(p ↔ ) q → ~(~ p ↔ ~ )r

Logic symbols dominance
Teaching steps
1. Create an activity that will actively engage students in
recognizing the order of dominance of connectives in a logic
expression using Table 2.10 in the Student’s Book.
2. Guide students in groups to perform Activity 2.2 in the
Student’s Book. Advise students to present their work in a flip
chart or manila cards, post them on the classroom walls and
conduct gallery walk for more inputs.

Logical equivalences

Teaching steps
1. Design an activity which will motivate students towards
describing logical equivalence of expressions. Assist them
through discussion to realize that, a logical expression or

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Mathematics for Advanced Secondary Schools

30/06/2024 18:01:49
ADVANCED MATH F.5 TG CHAPTERS.indd 26
ADVANCED MATH F.5 TG CHAPTERS.indd 26 30/06/2024 18:01:49