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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Winning Heights in the Men’s Olympic High Jumps Introduction: The Olympics are an international sporting event that is held every four years where people from around the world send their best athletes to compete and see who the best of the best is when it comes to sports. The Olympics date back to Ancient Greece where their basic events included track and field‚ which are like men’s high jump which is the topic of this report. In this problem we are looking at the data collected from the gold
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Clam Populations in Canada A study of a Clam Population and its Possible Future Population Size from 2012-2016. Introduction The first balanced marine aquarium‚ was created by Anne Thynne‚ in 1846; maintained strong corals and seaweed species for three years. Since then‚ the aquarium has become customary within pisciculture industries‚ tourism and domestic households‚ and has enabled the production of fish species to be harvested for commercial use‚ through the arrival of larger industrial
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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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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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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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Predictability of Social Media Usage to Grade Averages IB Math Studies Spring 2013 Table of Contents: Introduction/Purpose……………………………………………………………..p.3 Data Collection Method……………………………………………………….....p. 3 - 4 Data Analysis: Chi-Squared Statistic Frequency Table…………………………………………………………p. 4 - 5 Contingency Table……………………………………………………….p. 5 – 6 Chi – Squared Statistic…………………………………………………...p. 7 Degrees of Freedom………………………………………………………p. 7 Critical Value……………………………………………………………
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Lacsap’s Fractions IB Math SL Internal Assessment Paper 1 Lacsap’s Fractions Lacsap is Pascal spelled backward. Therefore‚ Pascal’s Triangle can be used practically especially with this diagram. (Diagram 1) This diagram is of Pascal’s Triangle and shows the relationship of the row number‚ n‚ and the diagonal columns‚ r. This is evident in Lacsap’s Fractions as well‚ and can be used to help understand some of the following questions. Solutions Describe how to find
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This is all I have so far: Circles IB Mathematics SL Type I Luxjoria Thibodeaux 24 February 2013 Mr. Wallace Period 6 In this task‚ I will analyze the positions of points in intersecting circles. The data is presented separately to distinguish between the original circle and the original circle’s relationship to circle 2 and circle 3. I will analyze each circle analytically and graphically to develop a general statement to represent the given data‚ as well as‚ consider any parameters
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Math SL Investigation Type 2 Stellar Numbers This is an investigation about stellar numbers‚ it involves geometric shapes which form special number patterns. The simplest of these is that of the square numbers (1‚ 4‚ 9‚ 16‚ 25 etc…) The diagram below shows the stellar triangular numbers until the 6th triangle. The next three numbers after T5 would be: 21‚ 28‚ and 36. A general statement for nth triangular numbers in terms of n is: The 6-stellar star‚ where there are 6 vertices‚ has
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