IB Math Studies Internal Assessment:
What is the Relationship between Points per Game Scored and the Height of the Players in the NBA?

By xxxxxxxxx
Candidate #xxxxxx
February 17th 20xx
Mrsxxxx
Contents
Introduction……………………………………1

Chi-Squared Test……………………………...2

Correlation Coefficient Calculations and Line of Best Fit Calculations………………………...3-4

Discussion/Validity……………………………5

Conclusion…………………………………….5

Raw Data……………………………………6-7

Bibliography…………………………………..8
What is the Relationship between Points per Game Scored and the Height of the Players in the NBA? Introduction:
The NBA is one of the United States’ favorite sports leagues, with each team averaging 100 million dollars of income each year before expenses. Quite a bit of money is spent gambling, funding, and keep the public entertained with this sport. To keep this system working, and to get a fair share, all the coaches must attempt to keep their team on par with the others if not above their competitors. Knowing this, having any type of advantage could be quite profitable for a team. If there was a known way to give your team an advantage it would be utilized and be quite profitable. Height happens to be a physical characteristic that may play in role in having an advantage. If being taller does in fact give a player an advantage, then why not just hire the tallest players you can in order to get the biggest advantage? I chose this topic help determine whether or not this is a viable strategy for coaches. Although I would like to determine this and wish it to be true, I hypothesize that the points per game scored of the player will not drastically, if at all, depend of their player’s heights due to a multitude of other factors including, but not limited to, skill, practice, position, teams, plays, penalties, and the list goes on! Task:

The main purpose of this investigation is to determine whether or not there is a relationship between the height of the players in the NBA and...

...Jonghyun Choe
March 25 2011
MathIB 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
1 32 1
Row 3
1 64 64 1
Row 4
1 107 106 107 1
Row 5
1 1511 159 159 1511 1
Step 1: This pattern is known as Lascap’s Fractions. En(r) will be used to represent the values involved in the pattern. r represents the element number, starting at r=0, and n represents the row number starting at n=1. So for instance, E52=159, the second element on the fifth row. Additionally, N will represent the value of the numerator and D value of the denominator.
To begin with, it is clear that in order to obtain a general statement for the pattern, two different statements will be needed to combine to form one final statement. This means that there will be two different statements, one that...

...Female
4.5
70
Female
2.5
30
Female
3.916
38
Female
1.75
27
Female
2.5
20
Female
2.875
49
Female
2.75
16
Female
2.375
32
Female
2.75
20
Female
2.75
39
Female
3.75
20
Female
3.5
26
Female
2
23
Female
2.5
42
Female
2.833
36
Female
2.75
21
Average GPA Total
Average GPA Total
Average GPA Total
Average GPA Total
2.787307692
2.740384615
2.749653846
2.957846154
Average Male GPA Total
Average Male GPA Total
Average Male GPA Total
Average Male GPA Total
2.464666667
2.701923077
2.595769231
3.014615385
Average Female GPA Total
Average Female GPA Total
Average Female GPA Total
Average Female GPA Total
3.038461538
2.778846154
2.903538462
2.901076923
Average GPA Total
2.808798077
Average Male GPA Total
2.69424359
Average Female GPA Total
2.905480769
Math Processes
I used a scatter plot graph for students who were in a relationship so I can plot their GPA score and their involvement score from the Relationship Involvement Scale. I also used a line graph to plot students who were single to show their GPA scores. Since the students were single, there was no need to assess their relationship involvement; therefore they were not given the Relationship Involvement Scale.
For my first mathematical process, the product moment correlation coefficient test to find out if my data is positively correlated, negatively correlated, or if they are not correlated. I input my relationship involvement score into L1, or x, of my calculator. I then input my GPA scores into L2, or y....

...
Predictability of Social Media Usage to Grade Averages
IBMathStudies
Spring 2013
Table of Contents:
Introduction/Purpose……………………………………………………………..p.3
Data Collection Method……………………………………………………….....p. 3 - 4
Data Analysis: Chi-Squared Statistic
Frequency Table…………………………………………………………p. 4 - 5
Contingency Table……………………………………………………….p. 5 – 6
Chi – Squared Statistic…………………………………………………...p. 7
Degrees of Freedom………………………………………………………p. 7
Critical Value……………………………………………………………..p. 7 – 8
Conclusion……………………………………………………………………....p. 9 - 10
Introduction/Purpose
Predictability is the degree to which a correct prediction or forecast of a system’s state can be made quantitatively. It is necessary to achieve maximum productivity or potential when completing a task. The ability to foresee an occurrence before others allows one to alter different aspects in time to garner the utmost productivity. The question that has been plaguing today’s generation is the use of social media sites, and their consequences on our lives. A restaurant only orders an amount of food adequate for its needs. If the restaurant orders more than it needs, then the extra food will spoil and the restaurant will lose some of its inventory. A trader that has inside information on a corporation may sell his stock minutes before the price drastically falls, saving himself a loss...

...MathStudies: Units Project
Talha Mirza
1A Gilmartin
Dear noble tribe leaders of T-Island, I have created a brand-new system of units for us to use in our daily lives called the T-Dog system. You will find this system to be quite useful, as it includes six unique units which measure temperature, length, time, weight/mass, volume/displacement, and currency. By utilizing these units, life will be made easier for us. Moreover, if it is ever decided to switch to other well-known systems, it is possible as each unit has a simple conversion to the metric system. Lastly, there are 5 situations attached to this proposal which exemplify the simplicity and convenience of using the T-Dog system.
The first unit in the T-Dog system is “Sweats” ( ), a measurement of temperature.
This measurement was invented by the unique Talha Tribe, who were the first ones to employ the use of this ingenious system.
This measurement is used to calculate and measure heat, specifically the temperature of any given atmosphere, and depict the weather.
This measurement is based on the amount of sweat one produces under a given amount of heat; therefore this unit was given the name “Sweats”.
The symbol used to designate the “Sweats” unit is a small water/sweat droplet. This symbol was created to visually represent the unit of “Sweats”.
The “Sweats” unit, in relation to the metric system would convert by the following:
1 Sweat = 10 ° Celsius
The...

...Math SL 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, title page, and table of contents.
• All graphs are labeled – Each graph has a title, labeled axes, and appropriate scale.
• My graphs and tables are within the body of my work. They are not separate or in an appendix.
• I have explained why I made the choices I did when going through the task.
• I did not include key stroke sequences, e.g. “I pressed the 2nd key, then TRACE…”
• My tables do not straddle pages.
• My tables are labeled well, including my variable definitions in each column.
Use of Technology
Check for the following:
• I used technology to illustrate my points and ideas. I didn’t just “stick in” a graph.
• Each graph or table (or other piece of tech.) is accompanied by explanations and my ideas.
• I did not include too many graphs on the same axes – my graphs are easy to read.
Mathematical Process (Type 1)
Check for the following:
• I explicitly defined variables and parameters the first time I used them, even if they were
already defined in the portfolio...

...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
The second diagram shows circle C2 with radius OP and centre P, as well as circle C3 with radius r and centre A. An intersection between C1 and C2 is marked by point A. The intersection of C3 with OP is marked by point P’.
Figure 2
Through this investigation I will examine how the r values correlate with the values of OP in determining the length of OP’ when r is held as a constant variable and the value of OP is the variable that is subject to change. I will then venture on to study the inverse, the relationship when the r values becomes the variable that is changed and the OP value is held constant.
r as a Constant
If we let the value of r be equal to 1, we can use that information to find the length of OP’ when OP=2, 3, and 4. The first thing one can deduce is that by using the points A, O, P’, and P two isosceles triangles can be formed; ∆AOP and ∆AOP’. To rationalize this assertion through an analytic approach it should first be understood...

...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 methods. This is demonstrated in theories and models of cognition which are discussed and continuously tested. The key characteristics of a good memory models are first, testability; second, simplicity; lastly, applicability. This essay looks at strength and limitation/similarities and differences/examine/discuss of models of one cognitive process, which is memory, with reference to research studies.
Not all of developing models have such characteristics above.
MSM by Atkinson and Shiffrin (1968)
* Sensory memory, STM and LTM as permanent structural components of the memory system.
* Rehearsal is a control process, which acts as permanent structural components of the memory system.
* Rehearsal is a control process, which acts as a buffer between sensory memory and LTM, and helps the transfer of information to LTM.
-Evidence
* H.M. Case studies by Milner (1966)
-Studies of brain-damaged,...

...
Analyze the torture tactics the French used during the Algerian war
1
Table of Contents
A.Plan of Investigation…………………………………………………..3
B.Summary of Evidence…………………………………………………47
C.Evaluation of Sources………………………………………………....
D.Analysis ……………………………………………………………....
E.Conclusion…………………………………………………………….
F.Bibliography…………………………………………………………..
G.Appendix……………………………………………………………...
2
A. Plan of the Investigation
The investigation that i am doing assesses the torture methods applied by the French to the
Algerian prisoners during the Algerian War. In order to analyze the torture methods, used by the French
during the Algerian war, the investigation will require first hand interpretations of torture methods used
by the French on Algerian prisoners; from the time period the prisoners entered prison, until they either
died from torture wounds or were murdered. Memoirs and History journals are mostly used to analyze
the torture methods of the French. Two of the sources used in the essay,
The Question
a written memoir
by Henri Alleg,
The Battle of the Casbah
written by General Paul Aussaresses will then be evaluated
for their origins,purposes, values, and limitations.
Word Count: 124
3
B. Summary of Evidence ...