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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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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chromatids are pulled towards the opposite poles of the cell. 9. The cells divide. The cell membrane is starting to pinch inwards. 10. Cell division is complete‚ resulting in the formation of four cells each with the haploid number. 11. Meiosis - Functions Halving the chromosome number - meiosis consists of two nuclear divisions (meiosis I and meiosis II) but the chromosomes replicate once. Producing four daughter cells. Each are haploid Producing Genetic Variety - through prophase I and
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Assignment As a part of our math course we have been assigned a writing piece in which we are required to discuss the properties and uses of several kinds of algebraic functions. The four models include‚ linear‚ exponential‚ power‚ and inverse power. The purpose of this assignment is to review our understanding of these models and their uses and to fulfill a writing piece for the MEAP test. The first and simplest function to be discussed is the linear function. A linear function can be modeled by the
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HL History Internal Assessment Was President Ronald Reagan the reason for the Cold War’s conclusion? Word Count: 1‚634 Was President Ronald Reagan the reason for the Cold War’s conclusion? A. Plan of Investigation This investigation focuses on the impact that President Ronald Reagan had on ending the Cold War between the United States of America and the Soviet Union during the 1980’s. The use of historian argumentation‚ primary sources‚ such as Ronald Reagan’s Address to the Nation on Defense
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OPA Circle Style The three circles; O‚ P and A intersect to create an interesting investigation regarding circles. Since this is a Calculus course‚ the investigation does have to deal with Derivatives. The most important and the focus of this portfolio is the line segment‚ OP’. Using the given diagram above‚ this investigation consists of finding the general equation for discovering OP’. The values that are given are that r‚ is the radius of C1 and C2. OP and AP are the radii of C3. This information
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6.1.1 If the reaction produces heat (increases the temperature of the surroundings) then it’s exothermic. If it decreases the temp (i.e. absorbs heat) then it’s endothermic. Also‚ the yield of an equilibrium reaction which is exothermic will be increased if it occurs at low temps‚ and so for endothermic reactions at high temperatures. 6.1.2 Exothermic : A reaction which produces heat. Endothermic : A reaction which absorbs heat. Enthalpy of reaction : The change in internal energy (H) through
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sum as i runs from 1 to n of the ai 4. Linear algebra ‖x‖the norm (or modulus) of x OA→OA / vector OA OA¯ OA / the length of the segment OA AT A transpose / the transpose of A A−1 A inverse / the inverse of A 5. Functions f(x) fx / f of x / the function f of x f:S→T a function f from S to T x→y x maps to y / x is sent (or mapped) to y f’(x) f prime x / f dash x / the (first) derivative of f with respect to x f”(x) f double-prime x / f double-dash x / the second derivative of f
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we worked in a math unit called "Shadows." During the unit‚ we worked to solve the unit problem‚ which was to find a formula for how long a shadow was. When first given the unit problem‚ I considered it a simple task but soon after I realized there were many steps and ideas that needed to be learned before the unit goal could be reached. Throughout these six weeks‚ we learned about trigonometry‚ similarity‚ patterns‚ congruency‚ and using angles to solve problems. These new math ideas were just
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N10/4/BIOLO/HPM/ENG/TZ0/XX 88106001 Biology HigHer level PaPer 1 Tuesday 2 November 2010 (afternoon) 1 hour INSTRUCTIONS TO CANDIDATES • Do not open this examination paper until instructed to do so. • Answer all the questions. • For each question‚ choose the answer you consider to be the best and indicate your choice on the answer sheet provided. 8810-6001 17 pages © International Baccalaureate Organization 2010 – 2 – 1. N10/4/BIOLO/HPM/ENG/TZ0/XX [Question and image
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