Population Trends in China The goal of this mathematical study is to explore the different functions that best model the population of China from the years 1950 to 1995. Year | 1950 | 1955 | 1960 | 1965 | 1970 | 1975 | 1980 | 1985 | 1990 | 1995 | Population in Millions | 554.8 | 609.0 | 657.5 | 729.2 | 830.7 | 927.8 | 998.9 | 1070.0 | 1155.3 | 1220.5 | Using the Chinese population data from 1950 to 1995‚ let us construct a graph using technology. Before graphing the data though‚ we must
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POPULATION TRENDS IN CHINA SL TYPE II Aim: In this task‚ you will investigate different functions that best model the population of China from 1950 to 1995. The following table 1 shows the population of China from 1950 to 1995. Year 1950 1955 1960 1965 1970 1975 1980 1985 1990 1995 Population in Millions 554.8 609.0 657.5 729.2 830.7 927.8 998.9 1070.0 1155.3 1220.5 Define all relevant variables and parameters clearly. Use technology to plot the data points from the above table on
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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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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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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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for the tolerance of human beings to G-force over time. Problem formulation To define appropriate variables and parameters‚ and identify any constraints for the data and use technology plot the data points on a graph. Comment on any apparent trends shown in the graph. Find function to model the behavior of the graph and explain the reason to choose the function. Create an equation to fit the graph. On new set axes‚ draw the model function and the function of the original data points. Comment
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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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IB Maths SL TYPE I Lacsap’s Fractions Portfolio Lacsap’s fraction Introduction: Lacsap’s fraction is a symmetrical triangle that has the following pattern in the first five rows The shape is similar to Pascal triangle. It has the same quantity of symmetrical triangle as Pascal triangle. And Lacsap is the inverse alphabet order of Pascal. These make me think about Pascal triangle and I made an assumption that elements in Lacsap triangle may have the same relationship as in Pascal triangle
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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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