graph the points and loggerpro to generate an equation‚ the general statement for finding the numerator N=0.5n2+0.5n‚ n having to be greater than 0. To check the validity of the equation sample equations were used: Sample Equation: 5th Row: N=0.5(5)2+0.5(5)=15 Patterns Recognized: The first pattern that could be recognized is that the difference between the numerators of the ensuing rows is 1 more than the change between the previous numerator of the two consecutive rows. The formula that represents
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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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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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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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IB DIPLOMA PROGRAMME PROGRAMME DU DIPLÔME DU BI PROGRAMA DEL DIPLOMA DEL BI M07/5/MATME/SP2/ENG/TZ1/XX 22077304 mathematics staNDaRD level PaPeR 2 Tuesday 8 May 2007 (morning) 1 hour 30 minutes INSTRUcTIONS TO cANDIDATES not open this examination paper until instructed to do so. Do Answer all the questions. Unless otherwise stated in the question‚ all numerical answers must be given exactly or correct to three significant figures. 2207-7304 8 pages © IBO 2007 http://www
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Diploma 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 5045 1 Contents Prior learning 2 Topics 3 Topic 1—Algebra 3 Topic 2—Functions and equations 4 Topic 3—Circular functions and trigonometry 4 Topic 4—Vectors 5 Topic 5—Statistics and probability 5 Topic 6—Calculus
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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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= Sin Cc a2= b2+ c2-2bc cosA and the two triangles that are going to be used; For the first calculations‚ r=1 and OP =2. By finding the ∠O in one triangle‚ I have found the ∠O in both triangles‚ allowing me a complete ration to perform the sine law. Side Note: All Final Answers are rounded to 3 Significant Figures. For the first calculations‚ r=1 and OP =2. By finding the ∠O in one triangle‚ I have found the ∠O in both triangles‚ allowing me a complete ration to perform the sine law.
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M13/5/MATME/SP1/ENG/TZ1/XX 22137303 mathematics STANDARD level Paper 1 Candidate session number 0 0 Thursday 9 May 2013 (afternoon) Examination code 2 1 hour 30 minutes 2 1 3 – 7 3 0 3 instructions to candidates Write your session number in the boxes above. not open this examination paper until instructed to do so. Do You are not permitted access to any calculator for this paper. Section A: answer all questions in the boxes provided.
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2012 and 2013 2 MATME/PF/M12/N12/M13/N13 C O N T E N TS T y p e I t as k s Circles T y p e I I t as k s Fish Production Gold Medal Heights INTRODUC TI ON W h a t is t h e p u r p ose of t h is d oc u m e n t ? This document contains new tasks for the portfolio in mathematics SL. These tasks have been produced by the IB‚ for teachers to use in the examination sessions in 2012 and 2013. It should be noted that most tasks previously produced and published by the IB will no longer
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