REVISION CHAPTER 1 (from Mid-Semester Exam Sem. II 09/10) 1 2 Given the function : y 2 sin 2x 3 a) Find the i) amplitude ii) period iii) phase shift. . b) Sketch the graph of the function over one period. [6] 2 Find the exact value of the expressions below. Rationalize the denominator where appropriate: a) cot 70 tan 650 csc( 250 ) sec( 110 ) 5 19 tan cos 6 6 4 23 cot sin 3 6 [5] b)
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Part 1. Describe the order of operations and explain how it is used to simplify expressions. Explain specifically the order in which mathematical operations must be performed to correctly simplify an expression. The order of operations is a rule that always applies to mathematical problems. It includes addition‚ subtraction‚ multiplication and division as well as grouping of numbers (such as in parentheses and powers). It gives a definite order of how to do a problem involving multiple operations
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WHY PROBLEM SOLVING? • Problem solving is the most basic of mathematical skills- the reason for studying mathematics • Problem solving is an integral part of the larger area of critical thinking‚ which is universally accepted goal for all education • Problem solving shows an interaction between mathematical ideas • In the classroom can lessen the gap between real world problem and the classroom worlds and thus set more positive mood in the classroom. WHAT IS PROBLEM? The
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2012-The Year of Mathematics P.Bhattacharyya [pic] [pic] (GH Hardy ‚ Ramanujan and Littlewood) The great Indian mathematician Srinivasa Ramanujan was born on the 22nd of December 1887 in Erode‚ Tamilnadu. In a function held in the Centenary Hall of Madras University on the 26th of December 2011 marking the 125th birth anniversary of Srinivasa Ramanujan‚ the Prime Minister of India Dr. Manmohan Singh proclaimed: “Our
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Action Research 1.Foreign language teachers develop insights into their students’ learning from observing their behavior. 2.Reflective teachers analyze the students’ behaviors‚ identify potential problems‚ modify their teaching practices‚ and evaluate the results. 3. Some ideas succeed; others fail—sometimes surprisingly. 4.This process is called action research. 5. Action research is classroom-based research conducted by teachers in order to reflect upon and evolve their teaching. 6.It is a systematic
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Contribution of India in mathematics The most fundamental contribution of India in mathematics is the invention of decimal system of enumeration‚ including the invention of zero. The decimal system uses nine digits (1 to 9) and the symbol zero (for nothing) to denote all natural numbers by assigning a place value to the digits. The Arabs carried this system to Africa and Europe. 1) Aryabhata is the first well known Indian mathematician. Born in Kerala‚ he completed his studies at the university
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3. Literature Review Within the last decade in particular‚ there have been many reports which identify the need to improve questioning which takes place within the classroom and the importance of using them to stretch and challenge learners. “Questions play an important role in the processes of teaching and learning because children’s achievement‚ and their level of engagement‚ depend on the types of questions teachers formulate and use in a classroom”. (Kerry‚ 2002). Effective questioning
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Education must be transfer from one generation to the other‚ the core of our culture’s accumulated body of knowledge poor academic performance affect the nation socially‚ economically‚ politically and psychologically. Parent‚ teachers‚ student and the government put the blame at the “Door step” of one another as being responsible for the lapses. It is surely not an exaggeration to say that the major causes of poor academic achievement are inherent in the student themselves. They could be in form
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London Visual Impairment ForumMinutes and Action points‚ Planning Group EGMFriday 11th November 2011Chair for this meeting : Peter Corbett (PC) (Thomas Pocklington Trust) Vice Chair: Jackie Venus (JV)(VISOR) not presentPresent: Colin Brown(CB) (BIG); Sharon Schaffer (SS)(LVIF) Fran Hibbert (FH) (Merton Vision); Peter Corbett (PC) (Thomas Pocklington Trust) Mike Woolston (MW) (Guide Dogs); John Harris (RLSB)‚ David Newbold (Action) ; Stan Lopes (LB Camden)Apologies: Sue Sharp (SuS0 (RLSB); Sue O’Hara
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Chapter 3 Problem 60 Page 133 Dividend yield is the annual dividend per share a company pays divided by the current market price per share expressed as a percentage. A sample of 10 large companies provided the following dividend yield data (The Wall Street Journal‚ January 16‚ 2004). Company | Yield % | Company | Yield % | Altria Group | 5.0 | General Motors | 3.7 | American Express | 0.8 | JP Morgan Chase | 3.5 | Caterpillar | 1.8 | McDonald’s | 1.6 | Eastman Kodak | 1.9 | United Technology
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