Standard 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 CONTENTS Type I tasks Lacsap’s Fractions Circles Type II tasks Fish Production Gold Medal Heights INTRODUCTION What is the purpose of this document? This document contains new tasks for the portfolio in mathematics SL. These tasks have been produced by the IB‚ for teachers to use
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Taipei European SchoolMath Portfolio | VINCENT CHEN | Gold Medal Heights Aim: To consider the winning height for the men’s high jump in the Olympic games Years | 1932 | 1936 | 1948 | 1952 | 1956 | 1960 | 1964 | 1968 | 1972 | 1976 | 1980 | Height (cm) | 197 | 203 | 198 | 204 | 212 | 216 | 218 | 224 | 223 | 225 | 236 | Height (cm) Height (cm) As shown from the table above‚ showing the height achieved by the gold medalists at various Olympic games‚ the Olympic games were not held in
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FISH PRODUCTION - MODELING The aim of this investigation is to consider commercial fishing in a particular country in two different environments‚ that is from the sea and a fish farm (aquaculture). The following data provided below was taken form the UN Statistics Division Common Database. The tables gives the total mass of fish caught in the sea‚ in thousands of tones (1 tone = 1000 kilograms). Year | 1980 | 1981 | 1982 | 1983 | 1984 | 1985 | 1986 | 1987 | 1988 | Total Mass | 426
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FISH PRODUCTION - MODELING The aim of this investigation is to consider commercial fishing in a particular country in two different environments‚ that is from the sea and a fish farm (aquaculture). The following data provided below was taken form the UN Statistics Division Common Database. The tables gives the total mass of fish caught in the sea‚ in thousands of tones (1 tone = 1000 kilograms). Year | 1980 | 1981 | 1982 | 1983 | 1984 | 1985 | 1986 | 1987 | 1988 | Total Mass | 426
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Math SL Portfolio – Tips and Reminders Checklist Notation and Terminology Check for the following: • I did not use calculator notation. (I didn’t include things like ‘x^2’ for or Sn for Sn) • I used appropriate mathematical vocabulary. Communication Check for the following: • The reader will not need to refer to the list of questions in order to understand my work. • My responses are not numbered. • I have an introduction‚ conclusion‚ title page‚ and table of contents
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Introduction In this task‚ I will develop model functions representing the tolerance of human beings to G-force over time. In general‚ humans have a greater tolerance to forward acceleration than backward acceleration‚ since blood vessels in the retina appear more sensitive in the latter direction. As we all know‚ the large acceleration is‚ the shorter time people can bear. Using the data shown in the task and Mat lab analysis‚ we can get several model functions to represent the tolerance
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Exploration of Lacsap’s Fractions The following will be an investigation of Lacsap’s Fractions‚ that is‚ a set of numbers that are presented in a symmetrical pattern. It is an interesting point that ‘Lacsap’ is ‘Pascal’ backwards‚ which hints that the triangle below will be similar to “Pascal’s Triangle”. 1 1 1 1 1 1 1 1 1 1 There are many patterns evident in this triangle‚ for instance I can see
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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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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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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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