XYZ IB SL Math Circles Aim: The aim of this task is to investigate positions of points in intersecting circles. Introduction: The above diagram shows that distance r is the distance between any point‚ such as A‚ and the center of the circle‚ O‚ of the circle C1. The circle C2 has centre P and radius OP. A is one of the points of intersection of C1 and C2. Circle C3 has centre A‚ and radius r. The point P’ is the intersection of C3 with (OP). The r=1‚ OP=2‚ and P’=0.5. This is shown
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Guadalupe Luna Math IA (SL TYPE1) Circles Circles Introduction The objective of this task is to explore the relationship between the positions of points within circles that intersect. The first figure illustrates circle C1 with radius r‚ centre O‚ and any point P. r is the distance between the centre O and any point (such as A) of circle C1. Figure 1 The second diagram shows circle C2 with radius
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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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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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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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International Baccalaureate | Gold Medal Heights SL Math IA- Type II | Turner Fenton Secondary School | Completed by: Harsh Patel Student Number: 643984 IB number: Teacher: Mr. Persaud Course Code: MHF4U7-C Due Date: November 16th‚ 2012 Introduction This report will investigate the winning heights of high jump gold medalists in the Olympics. The Olympics composed of several events evaluating
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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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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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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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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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