Page 91 - ADVANCED MATH F.5

Form Five Form Five

Algebra

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Introduction

In this chapter, students will learn about sequences and series,
proof by mathematical induction, roots of polynomial functions,
remainder and factor theorems, operations on polynomials,
inequalities, matrices, binomial theorem, and partial fractions.
Guide the students to realize some common methods of finding
sums of series of squares and cubes of natural numbers, solving
roots of quadratic and rational inequalities, operating with
33× matrices, forming partial fractions, proof by mathematical
induction, and expanding expressions using the binomial theorem.
The competencies developed will enable students in solving various
real life problems including solving problems related to landscape
designing, computer programming, real estate planning, business
and finance management, geometry, budgeting, scheduling of
activities, cooking, shopping, and in many other fields, enable
them to perform various tasks such as organizing, creating and
categorizing objects.

Students’ activities

(a) Recognising sequences and series
(b) Proofing by mathematical induction
(c) Establishing the relationship between roots of polynomial
functions and their coefficients
(d) Determining the value of a function using the remainder
theorem

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Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 85