M11/5/MATME/SP1/ENG/TZ1/XX 22117303 mathematics staNDaRD level PaPeR 1 Wednesday 4 May 2011 (afternoon) 1 hour 30 minutes iNSTrucTioNS To cANdidATES candidate session number 0 0 Examination code 2 2 1 1 – 7 3 0 3 Write your session number in the boxes above. not open this examination paper until instructed to do so. do are not permitted access to any calculator for this paper. You Section A: answer all questions in the boxes provided. Section B: answer all questions on the
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Math Portfolio HL- Type 1 INVESTIGATINGRATIOS OF AREAS AND VOLUMES The purpose of this portfolio is to investigate the ratios of areas and volumes when a function y= xn is graphed between two arbitrary parameters x=a and x=b such that a‹b. Task 1 The general formula to find area A is [pic] The general formula to find area B is [pic] Therefore‚ the ratio of Area A to Area B is- = [pic] ÷ [pic] = [pic] × [pic] = n : 1 n:1 is the general conjecture formed. The given
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Level The portfolio - tasks For use in 2012 and 2013 © International Baccalaureate Organization 2010 7 pages For final assessment in 2012 and 2013 2 MATME/PF/M12/N12/M13/N13 C O N T E N TS T y p e I t as k s Circles T y p e I I t as k s Fish Production Gold Medal Heights INTRODUC TI ON W h a t is t h e p u r p ose of t h is d oc u m e n t ? This document contains new tasks for the portfolio in mathematics SL. These tasks have been produced by the IB‚ for teachers
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MATH PORTFOLIO NUMBER OF PIECES Kanishk Malhotra 003566-035 (May 2012) In physics and mathematics‚ the ‘DIMENSION’ of a space or object is informally defined as the minimum number of coordinates needed to specify each point within it. Thus a line has a dimension of one because only one coordinate is needed to specify a point on it. A surface such as a plane or the surface of a cylinder or sphere has a dimension of two because two coordinates are needed to specify a point on it (for
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Cindy Hwang IB Math 11 SL 1-3 IB Math Portfolio Gold medal heights Aim: The aim of this task is to consider the winning height for the men’s high jump in the Olympic Games. Introduction: The Olympic Games which are held in every four years have an event called Men’s High Jump and usually an athlete tries to jump over a bar which is set up in a certain range from1 meter to 3 meters. The table 1 shows the record of the gold medalists during the Olympic Games held during 1932 to 1980. Note:
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Energetics 5.1 5.1.1 Endothermic: A reaction in which energy is absorbed. If your reactants are at a lower energy level than your products then the reaction is endothermic this means it has a + ΔH° Exothermic: A reaction in which energy is released. If your reactants are at a higher energy level than your products then the reaction is exothermic this means it has a ΔH° Standard Enthalpy ( ΔH°) The internal energy stored in the reactants. Only changes in enthalpy can be measured
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Lacsap’s Fractions Laurie Scott SL Math Internal Assessment Mr. Winningham 9/5/12 Instructions: In this task you will consider a set of numbers that are presented in a symmetrical pattern. Pascal’s Triangle |n=0 |1 | |1 |0 | |2 |3 | |3 |6 | |4 |10
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WHY MALTHUS WAS WRONG Over the past 10 years‚ Indian population has risen by 220 million people‚ reaching an estimated 1‚22 billion in 2012. The effects of this population increase are evident in the increasing poverty‚ unemployment‚ air and water pollution‚ shortage of food‚ health resources and educational resources. With India as an example we will discuss Malthus‚ the population growth theory and see if Malthus theory was maybe mistaken in the past but has some valid aspects today. Thomas
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2001 version Paper to be presented at IUSSP Conference in Brazil/session-s09 Population Growth and Global Carbon Dioxide Emissions Anqing Shi Development Research Group The World Bank Keywords: Population‚ global warming‚ Carbon Dioxide Emissions‚ projections Abstract: Previous studies on the determinants of carbon dioxide emissions have primarily focused on the role of affluence. The impact of population growth on carbon dioxide emissions has received less attention. This paper takes a step
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Population Growth Population Data The table below shows the population data for England and Wales between the years of 1801 and 1951. Census was not taken in 1941 because of the Second World War. |Year |Population | |1801 |8‚892‚536 | |1811 |10‚164‚256 | |1821 |12‚000‚326 | |1831
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