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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In Lacsap’s Fractions‚ En(r) refers to the (r+1)th term in the nth row. The numerator and denominator are found separately‚ therefore to find the general statement‚ two different equations‚ one for the numerator and one for the denominator‚ must be found. Let M=numerator and let D=denominator so that En(r) = M/D. To find the numerator for any number of Lacsap’s Fractions‚ an equation must be made that uses the row number to find the numerator. Because the numerator changes depending on the row
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been produced by the IB‚ for teachers to use in the examination sessions in 2012 and 2013. It should be noted that most tasks previously produced and published by the IB will no longer be valid for assessment after the November 2010 examination session. These include all the tasks in any teacher support material (TSM)‚ and the tasks in the document tfolio tasks 2009 The tasks in the in the 2012 examinations but N O T in 2013. Copies of all TSM tasks published by the IB are available on the
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Lacsap’s Fractions The aim if this IA is to investigate Lacsap’s Fractions and to come up with a general statement for finding the terms. When I noticed that Lacsap was Pascal spelt backwards I decided to look for a connection with Pascal’s triangle. Pascal’s triangle is used to show the numbers of ‘n’ choose ‘r’(nCr). The row number represents the value of ‘and the column number represents the ‘r’ value. Eg. Row 3‚ colomn 2 = 3C2 =
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Jonghyun Choe March 25 2011 Math IB SL Internal Assessment – LASCAP’S Fraction The goal of this task is to consider a set of fractions which are presented in a symmetrical‚ recurring sequence‚ and to find a general statement for the pattern. The presented pattern is: Row 1 1 1 Row 2 1 32 1 Row
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Taylor Browne Title Can you have best of both worlds? Question In a group of high school students‚ is there a correlation between relationship status and GPA? Introduction High school is great time for many people. You start to find yourself‚ meet new friends‚ and find love. Some parents tell their children that they don’t need to be relationship because they need to focus on school. Students in high school can’t see their boyfriends or girlfriends until homework is done. Parents sometimes even
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IB Math Studies Internal Assessment: What is the Relationship between Points per Game Scored and the Height of the Players in the NBA? By xxxxxxxxx Candidate #xxxxxx February 17th 20xx Mrsxxxx Contents Introduction……………………………………1 Chi-Squared Test……………………………...2 Correlation Coefficient Calculations and Line of Best Fit Calculations………………………...3-4 Discussion/Validity……………………………5 Conclusion…………………………………….5 Raw Data……………………………………6-7 Bibliography…………………………………..8 What is the
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In Lacsap’s Fractions‚ when looking for a general pattern for the numerator‚ it can be noted that it does not increase linearly but exponentially. Numerators are 3‚6‚10‚ and 15‚ each preceding numerator added by one plus the row number. Using this general statement it can be concluded that the numerator in the 6th row is 21 (15+6)‚ and 28 for the 7th. Generating a Statement for the Numerator: To generate an equation for the numerator of the fraction‚ the fraction data must be organized and
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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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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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