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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IB Mathematics SL I IA Lab: Infinite Summation Kristen Rodríguez Mr. Zivkovich May 2010 1 When one considers the concept of infinite summation‚ there are many observable patterns between the exponent on the numerator and both the result and the sum of the series. This investigation aims to explore this concept of infinite summation and finally arrive at a general statement to determine the sum of the infinite sequence tn. The analysis will also discuss the scope and limitations of the general
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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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–4– MATME/PF/M11/N11/M12/N12 INFINITE SUMMATION SL TYPE I Aim: In this task‚ you will investigate the sum of infinite sequences tn ‚ where t0 = 1‚ t1 = ( x ln a ) ( x ln a ) 2 ( x ln a )3 ( x ln a) n … ‚ tn = …. ‚ t2 = ‚ t3 = n! 1 2 ×1 3 × 2 ×1 A notation that you may find helpful in this task is the factorial notation n ! ‚ defined by n= n(n − 1)(n − 2)....3 × 2 × 1 ! e.g. 5! = 5 × 4 × 3 × 2 ×1 (= 120) Note that 0 ! = 1 Consider the following sequence of
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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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IB Mathematics SL Year 1 Welcome to IB Mathematics. This two-year course is designed for students who have a strong foundation in basic mathematical concepts. The topics covered in this course include: * Algebra * Functions * Equations * Circular functions * Trigonometry * Vectors * Statistics * Probability * Calculus ------------------------------------------------- Resources: * Textbook: Mathematics SL 3rd edition. Haese Mathematics 2012 ISBN: 978-1-921972-08-9
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IB Art SL: Artist Statement Art is my way of expressing my ideas‚ emotions‚ and creativity. Because art is a reflection of life‚ I’m able to use art to channel my ideas or events that relates to my life. Some of my art are made to celebrate something whether it be a holiday‚ a joyful event‚ or just life itself. Some however‚ give a darker vibe and expose pain‚ sorrows‚ and tragedies. I wish to expose these unpleasant elements because they bring in raw emotions. Through my art‚ I aim to make
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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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OPA Circle Style The three circles; O‚ P and A intersect to create an interesting investigation regarding circles. Since this is a Calculus course‚ the investigation does have to deal with Derivatives. The most important and the focus of this portfolio is the line segment‚ OP’. Using the given diagram above‚ this investigation consists of finding the general equation for discovering OP’. The values that are given are that r‚ is the radius of C1 and C2. OP and AP are the radii of C3. This information
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Programme Mathematics SL formula booklet For use during the course and in the examinations First examinations 2014 Published March 2012 © International Baccalaureate Organization 2012 Mathematical studies SL: Formula booklet 1 5045 Contents Prior learning Topics Topic 1—Algebra Topic 2—Functions and equations Topic 3—Circular functions and trigonometry Topic 4—Vectors Topic 5—Statistics and probability Topic 6—Calculus 2 3 3 4 4 5 5 6 Mathematics SL formula booklet 1
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