CURRICULUM FOR SECONDARY COURSE

RATIONALE

Mathematics is an important discipline of learning at the secondary stage. It helps the learners in acquiring decision- making ability through its applications to real life both in familiar and unfamiliar situations. It predominately contributes to the development of precision, rational and analytical thinking, reasoning and scientific temper. One of the basic aims of teaching Mathematics at the Secondary stage is to inculcate the skill of quantification of experiences around the learner. Mathematics helps the learners to understand and solve the day to day life problems faced by them including those from trade, banking, sales tax and commission in transaction. It also helps them to acquire the skill of representing data in the form of tables/graphs and to draw conclusions from the same.

The present curriculum in Mathematics includes the appreciation of the historical development of mathematical knowledge with special reference to the contribution of Indian mathematicians particularly in the introduction of zero, the decimal system of numeration in the international form (popularly known as Hindu – Arabic numerals ). The learners are encouraged to enhance their computational skills using Vedic Mathematics.

OBJECTIVES

The main objectives of teaching Mathematics at the Secondary stage are to enable the learners to :

•

acquire knowledge and understanding of the terms, concepts, symbols, principles and processes.

•

acquire the skill of quantification of experiences around them.

•

acquire the skill of drawing geometrical figures, charts and graphs representing given data.

•

interpret tabular/graphical representation of the data.

•

articulate logically and use the same to prove results.

•

translate the word problems in the mathematical form and solve them.

•

appreciate the contribution of Indian mathematicians towards the development of the subject.

•

develop interest in Mathematics.

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DESCRIPTION OF COURSE

The present syllabus in Mathematics has been divided into six modules namely Algebra ,Commercial Mathematics ,Geometry, Mensuration ,Trigonometry and Statistics . The marks allotted , number of lessons and suggested study time for each module are as under : Name of the module

Number of

Study time

Marks

lessons

( in hours )

1. Algebra

8

50

26

2. Commercial Mathematics

4

35

15

3. Geometry

10

75

25

4. Mensuration

2

25

10

5. Trigonometry

2

20

12

6. Statistics

4

35

12

Total

30

240

100

There will be three Tutor Marked Assignments (TMA’s) to be attempted by the learner. The awards/grades of the best two TMA’s will be reflected in the Mark sheet.

DETAILED DESCRIPTION OF EACH MODULE IS AS FOLLOWS :

Module 1 : Algebra

Study time : 50 Hours

Marks : 26

Scope and Approach : Algebra is generalized form of arithmetic. Here we would deal with unknowns in place of knowns as in arithmetic. These knowns are, in general, numbers. It may be recalled that the study of numbers begin with natural numbers without which we would not be able to count. The system of natural numbers is extended to rational number system. To be able to measure all lengths in terms of a given unit, the rational numbers have to be extended to real numbers. Exponents and indices would simplify repeated multiplication and their laws would be introduced. These would be used to write very large and very small numbers in the scientific notation.

Algebraic expressions and polynomials would be introduced with the help of four fundamental operations on unknowns. Equating two algebraic expressions or polynomials leads to equations. In the module a study of linear and quadratic equations would be taken up to solve problems of daily life.

The learners would be acquainted with different number patterns. One such pattern, namely Arithmetic Progression would be studied in details.

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1.1

Number Systems...