Page 92 - ADVANCED MATH F.5

Form Five Form Five

(e) Determining the factors of a polynomial function using the
factor theorem
(f) Performing various operations on polynomial functions

(g) Describing the concept of inequalities
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(h) Exploring the concept of 33× matrices
(i) Applying the binomial theorem to solve problems

(j) Expressing rational fractions in partial fractions

Teaching and learning resources
Scientific calculators, Flip chart, marker pens, ruler, mathematical
software such as Maple, GeoGebra, MATLAB, and AI tools

Sequences and series
Teaching steps

1. Guide students in groups to discuss the concept of a sequence
through Activity 5.1 in the Student’s Book and other resources
as suggested. Advise them to present the group responses.
2. Use Examples 5.1 and 5.2 in the Student’s Book to guide
students on how to find the next terms in a sequence.
3. Develop hands on activities that can be used to assist students
to realize the concept of series. Introduce to students the sigma

notation ∑ .
4. Guide students through Think-Ink-Pair-Share strategy to use
the sigma notation to the sum of finite and infinite series in the
Student’s Book.
5. Assist students when they face challenges, and clear their
doubts and misconceptions through Examples 5.3 to 5.6 in the
Student’s Book and discuss with them the summation of finite
and infinite series using sigma notation.

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Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 86
ADVANCED MATH F.5 TG CHAPTERS.indd 86 30/06/2024 18:02:18