Alma 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
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In Lacsap’s Fractions‚ when looking for a general pattern for the numerator‚ it can be noted that it does not increase linearly but exponentially. 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
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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 information about previous gold medal heights and can make them easier to set targets for
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SL Math Internal Assessment: Stellar Numbers 374603 Mr. T. Persaud Due Date: March 07‚ 2011 Part 1: Below is a series of triangle patterned sets of dots. The numbers of dots in each diagram are examples of triangular numbers. Let the variable ‘n’ represent the term number in the sequence. n=1 n=2 n=3 n=4 n=5 1 3 6
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Lacsap’s Fractions IB Math SL Internal Assessment Paper 1 Lacsap’s Fractions Lacsap is Pascal spelled backward. Therefore‚ Pascal’s Triangle can be used practically especially with this diagram. (Diagram 1) This diagram is of Pascal’s Triangle and shows the relationship of the row number‚ n‚ and the diagonal columns‚ r. This is evident in Lacsap’s Fractions as well‚ and can be used to help understand some of the following questions. Solutions Describe how to find
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IB Mathemetics SL Portfolio: Logarithmic Bases In this portfolio task‚ I will investigate the rules of logarithms by identifying the logarithmic sequences. After identifying the pattern‚ I will produce a general statement which defines the sequence. I will then test the validity of my general statement by using other values. I will finally conclude the portfolio task by explaining how I arrived to my general statement and its limitations. Consider the following sequences. Write down the next
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1 1 1 32 1 1 64 64 1 1 107 106 107 1 1 1511 159 159 1511 1 The aim of this task is to find the general statement for En(r). Let En(r) be the element in the nth row‚ starting with r = 0. First to find the numerator of the sixth row‚ the pattern for the numerator for the first five rows is observed. Since the numerator is the same in each row (not counting
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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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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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Marks awarded for clear Reasoning. Marks awarded for correct answers if no working shown. Answer given in the question and so no marks are awarded. Using the markscheme 1 General Mark according to scoris instructions and the document “Mathematics SL : Guidance for e-marking November 2010”. It is essential that you read this document before you start marking. In particular‚ please note the following. Marks must be recorded using the annotation stamps. Please check that you are entering marks for
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