Winning Heights in the Men’s Olympic High Jumps
Introduction:
The Olympics are an international sporting event that is held every four years where people from around the world send their best athletes to compete and see who the best of the best is when it comes to sports. The Olympics date back to Ancient Greece where their basic events included track and field, which are like men’s high jump which is the topic of this report. In this problem we are looking at the data collected from the gold medalists in the men’s high jump in from the years 1932-1980, excluding the years 1940 and 1944 where the Olympics were not held due to World War II. Below is the data for the gold medalists in the men’s high jump from the years 1932-1980 (again excluding 1940 and 1944). Year| 1932| 1936| 1948| 1952| 1956| 1960| 1964| 1968| 1972| 1976| 198| Height (cm)| 197| 203| 198| 204| 212| 216| 218| 224| 223| 225| 236|

Data:
The problem asks for the points in the table to be plotted and I chose to put them into a scatter plot because that is the most logical way of graphing the data shown in the table above. Because the data is not continuous you would not make a line graph. The graph is shown below:

The graph shows that the data collected is for the most part an upward trend. You can tell this because most of the data goes up in a positive trend the majority of the time.
The problem asks for a function to describe the way that the graph moves up, for the most part, in a positive way and I believe the best way to show this trend would be to use a line graph. I feel like this would be the best representation of showing how the points on the graph have a positive trend because you can see the average trend between all the points in the graph. What I did to find the slope was to take the x and y coordinates of both the first and the last plots on the graph and plug them into the equation m=y2-y1x2-x1 where y and x are the x and y components of...

...Jonghyun Choe
March 25 2011
Math IB SL
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 1
1 1
Row 2...

...Name: Linh Nguyen
IB MathIA
02/06/12
Part A
Consider this 2× 2 system of linear equations: x + 2y = 3
2x - y = -4
We can see patterns in the constants of both equations. In the first equation, the constants are 1, 2, and 3. The common difference between the constants is 1:
3 – 2 = 1
2 – 1 = 1
Based on this, we can set up a general formula for the constant of this equation:
Un = U1 + (n - 1)d Where:
n: The number of the series
d: the...

...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,...

...G-FORCE TOLERANCE
Maths Standard Level
SL TYPE II
Candidate Number: 002379- 015
School Number: 002379
School Name: ESCAAN International School
Jan Bogaarts Ramirez
13/01/2012
Introduction:
When various forces being applied on one body or object that results in a certain acceleration, on that body, a force will act and we call it G-force. An interesting aspect of G-Force is the way human beings tolerate it,...

...Evaluate/Compare and Contrast/Discuss/Examine models or theories of one cognitive process with reference to research studies (22)
Human beings actively process information and it is cognitive processes that guide behavior. These cognitive processes are influenced by social and cultural factors. One of the cognitive processes is memory. Many researchers and psychologies have proved that the mind can be studies scientifically by developing theories and using a number of scientific research...

...Alma Guadalupe Luna
MathIA (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...

...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...

...EUROPEAN SCHOOL
Mathematics Higher Level
Portfolio
Type 1
SHADOW FUNCTIONS
Candidate Name: Emil Abrahamyan
Candidate Number: 006343-021
Supervisor: Avtandil Gagnidze
Session Year: 2013 May
Candidate Name: Emil Abrahamyan
Candidate Number: 006343-021
Mathematics Higher Level
Type 1: Shadow Functions
SHADOW FUNCTIONS
The Aim of the Investigation:
The overall aim of this investigation is to investigate different polynomials with different powers
and create shadow...

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