In Lacsap’s Fractions‚ En(r) refers to the (r+1)th term in the nth row. The numerator and denominator are found separately‚ therefore to find the general statement‚ two different equations‚ one for the numerator and one for the denominator‚ must be found. Let M=numerator and let D=denominator so that En(r) = M/D. To find the numerator for any number of Lacsap’s Fractions‚ an equation must be made that uses the row number to find the numerator. Because the numerator changes depending on the row
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Level The portfolio - tasks For use in 2012 and 2013 © International Baccalaureate Organization 2010 7 pages For final assessment in 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
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M11/5/MATME/SP1/ENG/TZ1/XX 22117303 mathematics staNDaRD level PaPeR 1 Wednesday 4 May 2011 (afternoon) 1 hour 30 minutes iNSTrucTioNS To cANdidATES candidate session number 0 0 Examination code 2 2 1 1 – 7 3 0 3 Write your session number in the boxes above. not open this examination paper until instructed to do so. do are not permitted access to any calculator for this paper. You Section A: answer all questions in the boxes provided. Section B: answer all questions on the
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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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MATH PORTFOLIO NUMBER OF PIECES Kanishk Malhotra 003566-035 (May 2012) In physics and mathematics‚ the ‘DIMENSION’ of a space or object is informally defined as the minimum number of coordinates needed to specify each point within it. Thus a line has a dimension of one because only one coordinate is needed to specify a point on it. A surface such as a plane or the surface of a cylinder or sphere has a dimension of two because two coordinates are needed to specify a point on it (for
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Cindy Hwang IB Math 11 SL 1-3 IB Math Portfolio Gold medal heights Aim: The aim of this task is to consider the winning height for the men’s high jump in the Olympic Games. Introduction: The Olympic Games which are held in every four years have an event called Men’s High Jump and usually an athlete tries to jump over a bar which is set up in a certain range from1 meter to 3 meters. The table 1 shows the record of the gold medalists during the Olympic Games held during 1932 to 1980. Note:
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Energetics 5.1 5.1.1 Endothermic: A reaction in which energy is absorbed. If your reactants are at a lower energy level than your products then the reaction is endothermic this means it has a + ΔH° Exothermic: A reaction in which energy is released. If your reactants are at a higher energy level than your products then the reaction is exothermic this means it has a ΔH° Standard Enthalpy ( ΔH°) The internal energy stored in the reactants. Only changes in enthalpy can be measured
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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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AP/IB Biology Lab Assessment The effect of various fruit and vegetable cell membranes on their water potential Independent variable: Type of fruit or vegetable. (Produce used: Russet potatoes‚ Pascal celery‚ Gala apple‚ Navel orange‚ and Imperator carrot). The fruit or vegetable will be placed in six 56.7 gram cups‚ ranging with sucrose molarities of 0 (distilled water)‚ 0.2‚ 0.4‚ 0.6‚ 0.8‚ 1.0‚ with 5 trials‚ leading to 30 cups for each produce variable. Dependent variable: The water potential
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Determining the Enthalpy of Combustion of a Wood Chip IB Chemistry 12 September 18‚ 2014 Ryan Ingham Table 1: Raw data collected from the temperature probe and scale for the water‚ the aluminum can and the wood chip. (Quantitative) Quantity Initial Temperature (±0.1K) Final Temperature (±0.1K) Aluminum Can 46.29g (±0.01g) 296.5 314.7 Water 250g (±0.1g) 296.5 314.7 Wood Chip Before: 4.64g(±0.01g) After: 3.29g (±0.01g) NA
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