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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Taipei European SchoolMath Portfolio | VINCENT CHEN | Gold Medal Heights Aim: To consider the winning height for the men’s high jump in the Olympic games Years | 1932 | 1936 | 1948 | 1952 | 1956 | 1960 | 1964 | 1968 | 1972 | 1976 | 1980 | Height (cm) | 197 | 203 | 198 | 204 | 212 | 216 | 218 | 224 | 223 | 225 | 236 | Height (cm) Height (cm) As shown from the table above‚ showing the height achieved by the gold medalists at various Olympic games‚ the Olympic games were not held in
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y Lowering prices and licensing digital music streaming services UMG has licensed Spotify (an online music streaming website that allows customers a six month free trial to listen to music and then charges a low monthly fee for acess to a set number of songs for month Unfortunately‚ raising prices for UMG’s music is difficult because ultimately‚ the company’s fate lies in the hands of it’s power buyers (especially Apple) Companies
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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 1 5045 Contents Prior learning Topics Topic 1—Algebra Topic 2—Functions and equations Topic 3—Circular functions and trigonometry Topic 4—Vectors Topic 5—Statistics and probability Topic 6—Calculus 2 3 3 4 4 5 5 6 Mathematics SL formula booklet 1
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Data 8 Processed Data 15 Graphs 16 Conclusion & Evaluation 17 Introduction Background Information Stoichiometry is a critical component in chemistry‚ and helps in understanding the quantitative relationship between the number of moles of reactants and products in a reaction. Objective In this experiment‚ the reactions between sodium hydroxide and hydrochloric acid‚ and sodium hydroxide and sulfuric acid will be studied. Beginning Questions When will the maximum
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Lacsap’s Fractions 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 =
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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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final assessment in 2011 and 2012 STELLAR NUMBERS SL TYPE I Aim: In this task you will consider geometric shapes which lead to special numbers. The simplest example of these are square numbers‚ 1‚ 4‚ 9‚ 16‚ which can be represented by squares of side 1‚ 2‚ 3 and 4. The following diagrams show a triangular pattern of evenly spaced dots. The numbers of dots in each diagram are examples of triangular numbers (1‚3‚6‚)…. 1 3 6 10 15 Complete the triangular numbers sequence with three more terms. Find
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Numerators are 3‚6‚10‚ and 15‚ each preceding numerator added by one plus the row number. Using this general statement it can be concluded that the numerator in the 6th row is 21 (15+6)‚ and 28 for the 7th. Generating a Statement for the Numerator: To generate an equation for the numerator of the fraction‚ the fraction data must be organized and graphed. The table below shows the relationship between the row number and numerator being relative to an exponential function as the sequence goes on
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Internal Assessment IB Physics-7 Mr. Parent 14 January 2012 I. Design • Purpose: o To determine how the surface area of a coffee filter affects the average velocity of the coffee filter from the same height. • Variables: o Independent Variable ▪ Surface area- The area of the surface after the folds have been made o Dependent Variable ▪ The Average velocity- calculated by measuring the time and dividing by
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