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MATHEMATICS (51) 4. To develop the necessary skills to work with modern technological devices such as calculators and computers. Aims: 1. To acquire knowledge and understanding of the terms, symbols, concepts, principles, processes, proofs, etc. of mathematics. 5. To develop drawing skills, skills of reading tables, charts and graphs. 2. To develop an understanding of mathematical concepts and their application to further studies in mathematics and science. 6. To develop an interest in mathematics. 3. To develop skills to apply mathematical knowledge to solve real life problems. CLASS IX There will be one paper of two and a half hours duration carrying 80 marks and Internal Assessment of 20 marks. (ii) Compound Interest Compound Interest as a repeated Simple Interest computation with a growing Principal. Use of formula - The paper will be divided into two sections, Section I (40 marks), Section II (40 marks). A P(1 Section I: will consist of compulsory short answer questions. r n ) . Finding CI from the 100 relation CI = A-P. Simple direct problems based on above formulae. Section II: Candidates will be required to answer four out of seven questions. 3. Algebra (i) Expansions The solution of a question may require the knowledge of more than one branch of the syllabus. (a b)2 1. Pure Arithmetic (a b)3 Irrational Numbers (a) Rational, irrational numbers as real numbers, their place in the number system. Surds and rationalization of surds. (x a)(x b) (ii) Factorisation a2 b2 (b) Irrational numbers as non-repeating, nonterminating decimals. a3 b3 ax2 + bx + c, by splitting the middle term. (c) Classical definition of a rational number p/q, p, q Z, q 0. (iii) Changing the subject of a formula. Hence, define irrational numbers as what cannot be expressed as above. Concept that each formula is a perfect equation with variables. Concept of expressing one variable in terms, of another various operators on terms transposing the terms squaring or taking square root etc. (iv) Linear Equations and Simultaneous (linear) Equations (d) Simplifying an expression by rationalising the denominator. 2. Commercial Mathematics (i) Profit and Loss The meaning of Marked price, selling price and discount, thus giving an idea of profit and loss on day to day dealings. Simple problems related to Profit and Loss and Discount, including inverse working. 74 Solving algebraically (by elimination as well as substitution) and graphically.
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