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MATHEMATICS (IX-X)(CODE NO. 041)
Session 2024-25
The Syllabus in the subject of Mathematics has undergone changes from time to time in accordance
with growth of the subject and emerging needs of the society. The present revised syllabus has been
designed in accordance with National Curriculum Framework 2005 and as per guidelines given in the
Focus Group on Teaching of Mathematics which is to meet the emerging needs of all categories of
students. For motivating the teacher to relate the topics to real life problems and other subject
areas, greater emphasis has been laid on applications of various concepts.
The curriculum at Secondary stage primarily aims at enhancing the capacity of students to employ
Mathematics in solving day-to-day life problems and studying the subject as a separate discipline. It
is expected that students should acquire the ability to solve problems using algebraic methods and
apply the knowledge of simple trigonometry to solve problems of height and distances. Carrying out
experiments with numbers and forms of geometry, framing hypothesis and verifying these with
further observations form inherent part of Mathematics learning at this stage. The proposed
curriculum includes the study of number system, algebra, geometry, trigonometry, mensuration,
statistics, graphs and coordinate geometry, etc.
The teaching of Mathematics should be imparted through activities which may involve the use of
concrete materials, models, patterns, charts, pictures, posters, games, puzzles and experiments.
Objectives
The broad objectives of teaching of Mathematics at secondary stage are to help the learners to:
consolidate the Mathematical knowledge and skills acquired at the upper primary stage;
acquire knowledge and understanding, particularly by way of motivation and visualization, of
basic concepts, terms, principles and symbols and underlying processes and skills;
develop mastery of basic algebraic skills;
develop drawing skills;
feel the flow of reason while proving a result or solving a problem;
apply the knowledge and skills acquired to solve problems and wherever possible, by more
than one method;
to develop ability to think, analyze and articulate logically;
to develop awareness of the need for national integration, protection of environment,
observance of small family norms, removal of social barriers, elimination of gender biases;
to develop necessary skills to work with modern technological devices and mathematical
software's.
to develop interest in mathematics as a problem-solving tool in various fields for its beautiful
structures and patterns, etc.
to develop reverence and respect towards great Mathematicians for their contributions to the
field of Mathematics;
to develop interest in the subject by participating in related competitions;
to acquaint students with different aspects of Mathematics used in daily life;
to develop an interest in students to study Mathematics as a discipline.
1
, COURSE STRUCTURE CLASS –IX
Units Unit Name Marks
I NUMBER SYSTEMS 10
II ALGEBRA 20
III COORDINATE GEOMETRY 04
IV GEOMETRY 27
V MENSURATION 13
VI STATISTICS 06
Total 80
UNIT I: NUMBER SYSTEMS
1. REAL NUMBERS (18) Periods
1. Review of representation of natural numbers, integers, and rational numbers on the number
line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.
2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers
(irrational numbers) such as , and their representation on the number line. Explaining
that every real number is represented by a unique point on the number line and conversely,
viz. every point on the number line represents a unique real number.
3. Definition of nth root of a real number.
4. Rationalization (with precise meaning) of real numbers of the type
and (and their combinations) where x and y are natural number and a and b are
integers.
5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases
(to be done by particular cases, allowing learner to arrive at the general laws.)
UNIT II: ALGEBRA
1. POLYNOMIALS (26) Periods
Definition of a polynomial in one variable, with examples and counter examples. Coefficients
of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant,
linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and
multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples.
Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a ≠ 0 where a, b and
c are real numbers, and of cubic polynomials using the Factor Theorem.
Recall of algebraic expressions and identities. Verification of identities:
+
and their use in factorization of polynomials.
2
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