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 information about previous gold medal heights and can make them easier to set targets for their performance in the Olympic Games.

a.

b.The function I used for constructing this graph is Gaussian. Because from the list of functions in the graph-constructing program, the Gaussian function is the most accurate shape when plotted according to the data given which is the statistics of height of gold medalist for men’s high jump in the Olympic. The technology I used to plot all the graphs is Logger Pro 3.50.

c.

The difference is not significant after I adjust it. It can be seen from the graph itself that the shape of it is also similar. The limitation is that it is plotted on a lower values compared to the original and so it couldn’t reach the 1980 mark like the original graph.

d.

With the technology I used, the function I find to have a similar shape is the cubic function which is the red line. There are some period that the cubic function has a higher value. Also there are some points where the two graphs meet. But in the end the cubic is lower than the original and couldn’t reach the 1980 mark. e.According to the original graph, if in the year 1940 and 1944, the estimated height will be 198.2 and 199.6 respectively. f.Estimated winning heights in 2984 and 2016 are 235 and 241 respectively. From the data, the winning...

...consider and investigate geometric shapes that lead to stellar numbers. One of the simplest forms of this would be of square numbers, terms 1, 2, 3, 4, and 5 in terms of geometric shapes lead to the special numbers of 1, 4, 9, 16, and 25. To find these outcomes, simply all that is needed to be done is to square the nth term of the sequence. For example, 12=1, 22=4, 32=9, 42=16, and 52=25, therefore the resulting formula for square numbers would be...

...Lacsap’s Fractions
Laurie Scott
SLMath 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...

...Lacsap’s Fractions
IBMathSL
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...

...IB Mathematics SL Year 1
Welcome to IB Mathematics. This two-year course is designed for students who have a strong foundation in basic mathematical concepts. The topics covered in this course include:
* Algebra
* Functions
* Equations
* Circular functions
* Trigonometry
* Vectors
* Statistics
* Probability
* Calculus
-------------------------------------------------
Resources:
* Textbook:...

...Choe
March 25 2011
MathIBSL
Internal Assessment – LASCAP’S Fraction
The goal of this task is to consider a set of fractions which are presented in a symmetrical, recurring sequence, and to find a general statement for the pattern.
The presented pattern is:
Row 111
Row 2...

...Lacsap’s Fractions
IBMathSLSLType1
December 11, 2012
Lacsap’s Fractions:
Lacsap is Pascal backwards and the way that Lacsap’s fractions are presented is fairly similar to Pascal’s triangle. Thus, various aspects of Pascal’s triangle can be applied in Lacsap’s fraction.
To determine the numerators:
To determine the numerator (n), consider it in relation to the number of the row (r)...

...MathSL Portfolio – Tips and Reminders Checklist
Notation and Terminology
Check for the following:
• I did not use calculator notation. (I didn’t include things like ‘x^2’ for or Sn for Sn)
• I used appropriate mathematical vocabulary.
Communication
Check for the following:
• The reader will not need to refer to the list of questions in order to understand my work.
• My responses are not numbered.
• I have an introduction, conclusion,...

...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...

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