EUROPEAN SCHOOL Mathematics Higher Level Portfolio Type 1 SHADOW FUNCTIONS Candidate Name: Emil Abrahamyan Candidate Number: 006343-021 Supervisor: Avtandil Gagnidze Session Year: 2013 May Candidate Name: Emil Abrahamyan Candidate Number: 006343-021 Mathematics Higher Level Type 1: Shadow Functions SHADOW FUNCTIONS The Aim of the Investigation: The overall aim of this investigation is to investigate different polynomials with different powers and create shadow function
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Example 5: Student work Maths Exploration Newton-Raphson method Rationale- For this project I chose to research and analyse the Newton-Raphson method‚ where calculus is used to approximate roots. I chose this topic because it looked extremely interesting and the idea of using calculus to approximate roots‚ seemed intriguing. The aim of this exploration is to find out how to use the Newton-Raphson method‚ and in what situations this method is used Explanation of the Newton-Raphson method
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equilibrium constant Kc for the reaction. In this experiment‚ I will study the equilibrium properties of the reaction between ethanoic acid‚ otherwise known as acetic acid (CH3COOH) and water (H2O): CH3COOH(aq) + H2O(l) CH3COO-(aq) + H3O+(aq) When solutions containing ethanoic acid and water are mixed‚ they react to some extent‚ forming CH3COO- and H3O+. As a result of the reaction‚ the equilibrium amounts of CH3COOH and H2O will be less; for every mole of CH3COO- formed‚ one mole of CH3COOH and one
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IB Math Studies Internal Assessment: What is the Relationship between SAT Scores and Family Income of the Test Takers around the World? Exam Session: May 2011 School name: International School Bangkok Teacher: Mr. Demille Date: December 8th‚ 2010 Course: IB Math Studies Word Count: 1‚832 Name: Billy Egnehall What is the Relationship between SAT Scores and Family Income of the Test Takers around the World? Introduction The SAT examination is mostly in today’s world of academics‚ a requirement
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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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IB DIPLOMA PROGRAMME PROGRAMME DU DIPLÔME DU BI PROGRAMA DEL DIPLOMA DEL BI M07/5/MATHL/HP1/ENG/TZ1/XX/M MARKSCHEME May 2007 MATHEMATICS Higher Level Paper 1 16 pages -2- M07/5/MATHL/HP1/ENG/TZ1/XX/M This markscheme is confidential and for the exclusive use of examiners in this examination session. It is the property of the International Baccalaureate and must not be reproduced or distributed to any other person without the authorization of IBCA. -3- M07/5/MATHL/HP1/ENG/TZ1/XX/M
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Math IA Math Internal Assessment EF International Academy NY Student Name: Joo Hwan Kim Teacher: Ms. Gueye Date: March 16th 2012 Contents Introduction Part A Part B Conclusion Introduction The aim of this IA is to find out the pattern of the equations with complex numbers by using our knowledge. I used de Moivre’s theorem and binomial expansion‚ to find out the specific pattern and make conjecture about it. I basically used property of binominal theory with the relationship between the
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Sample Written Task 1 Criterion A The rationale seems to be a few words over the 200-300 word limit‚ clocking in at 303 words total; not that bad but it needs to stay within the word limit. The rationale also doesn’t give a clear cut purpose as to why he is doing this. He does give some background information about why exactly he chose this exact topic for his written task‚ but he doesn’t tell us what exactly he’s trying to do and what the task is about. I get the feeling that the writer of
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IB Math Studies Internal Assessment: Is the distance a tennis ball travels horizontally dependent on the angle of which it is dropped at? Exam Session: May 2014 School Name: Teacher: Course: IB Math Studies Word Count: 654 Name: Is the distance a tennis ball travels horizontally dependent on the angle of which it is dropped at? Introduction In tennis‚ players hit the tennis ball in certain ways so the ball goes the way they want it to go. Hitting it at certain angles enables
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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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