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 = 2. I noticed that
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Math IA IB MATH SL Math IA Introduction: In this task I will consider a set of numbers that are presented in a symmetrical pattern and try to find a general equation to find the elements in the [pic]row. Consider the five rows of number shown below. Figure 1 Lacsap’s Fractions The aim of this task is to find the numerator of the sixth row and to find the general statement for [pic]. Let [pic] be the
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SL TYPE 1-LACSAP’S FRACTIONS * INTRODUCTION This investigation is going to do research patterns relates to the Lacsap’s Fractions. For its external structure‚ Lacsap’s Fraction is analogous to Pascal’s Triangle. Lacsap’s Fraction presents the way of generating and organizing the binomial coefficients. Within this investigation‚ the work is planning to be divided into two parts. In the first part‚ the content will relate to the pattern of numerators. In the second part‚ I am going to do the
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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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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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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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IA Task I Introduction and purpose of task: The purpose of this task is to investigate the positions of points in intersecting circles and to discover the various relationships between said circles. Circle C1 has center O and radius r. Circle C2 has center P and radius OP. Let A be one of the points of intersection of C1 and C2. Circle C3 has center A and radius r (therefore circles C1 and C3 are the same size). The point P’ (written P prime) is the intersection of C3 with OP. This is shown in
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and numerator) must be compared. To find this equation‚ the relationship between the row number and numerator must be found‚ put it graph form‚ and the equation for the graph will be the equation needed. Row Number‚ n | Numerator‚ N | 1 | 1 | 2 | 3 | 3 | 6 | 4 | 10 | 5 | 15 | Numerator Numerator Row Number Row Number The equation for the numerator can be derived by using quadratic regression on a graphing calculator. The equation is; y = .5x2 + .5x
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Purpose of Investigation The purpose of this investigation is to find out the general trends of the Olympic gold medal height each time the event is held. It also could be used to predict the next gold medal height in the upcoming Olympic events. We could know as well what functions can be used to plot the graphs. People could also analyze the pattern of rise or decrease in height of the winning height in the Olympic game. This investigation also allows future participants to find out
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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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