Zenos paradox of Achilles and the tortoise, The Poincare Conjecture and Grigori Perelman, The Monkey and the Hunter How to Shoot aMonkey, Galileo: Throwing cannonballs off The Leaning Tower ofPisa. for all 50 different values. Get top tips from an IB examiner to help you get excellent scores on your coursework! 3) Minimal surfaces and soap bubbles: Soap bubbles assume the minimum possible surface area to contain a given volume. If you are doing IB Maths Analysis (exam in 2021 onwards) then go to this page instead. 1) Are a sample of student heights normally distributed? Choose your own pattern investigation for the exploration. Therefore the calculation of the mean was about adding all the different heights and dividing by the 2) Goldbachs conjecture: Every even number greater than 2 can be expressed as the sum of two primes. One of the great unsolved problems in mathematics. By siging up, I agree to Lanternas We know that adult population heights are normally distributed what about student heights? Topics focus on statistics and data analysis but also include other ideas! We hope this will give you the push you need to realise your potential and understand complex and unfamiliar mathematics. Investigating correlations between height, weight and. This is like having access to an experienced IB tutor who can talk you through solutions. 13) Is there a correlation between height and basketball ability? The IAs have no direct effects on your chances of admissions, but they do help you become a more holistic student, a quality that schools find attractive. Use Tracker software to create a Sine wave. 7) Google Public Data an enormous source for public data, which is displayed graphically and can be searched. Useful programs/sites for data collection: 1) TSM the Technology for Secondary Mathematics has got one of the best link directories for downloadable data statistics files on everything from exam board data, weather data, baby weights, ice cream sales and much much more! Explore the maths behind code making and breaking. 21) Projective geometry the development of geometric proofs based on points at infinity. 23) Perfect Numbers: Perfect numbers are the sum of their factors (apart from the last factor). collecting all the data and plotting the probability of gett ing the different values, the normal 3. Change), You are commenting using your Facebook account. A Super Exploration Guide with 168 pages of essential advice from a current IB examiner to ensure you get great marks on your coursework. So for my project I am going to collect the heights (cm) and weights (kg) and find the correlation between BMI and tackles made per season by the top tacklers of that season. deviation as illustrated in figure 1. Further processes will include the Pearsons correlation coefficient and If so I will be able to calculate the mean weights and heights of props in the NRL, as well as the standard deviation to see just how much they vary from one another. The body of your IA exploration should focus on the particular topic you have chosen to investigate and the relevant mathematical material that will address the intended aim of the work. Statistics and modelling 1 [topics could be studied in-depth]. 15) Is there a correlation between Premier League wages and league positions? In addition to a bibliography at the end, you must acknowledge all direct quotes that you use throughout your essay. Chaos and strange Attractors: Henonsmap, Finding the average distance between 2 points on ahypercube, Find the average distance between 2 points on asquare, Generating e through probability andhypercubes, IB HL Paper 3 Practice Questions ExamPack, Complex Numbers as Matrices: EulersIdentity, Sierpinski Triangle: A picture ofinfinity, The Tusi couple A circle rolling inside acircle, Classical Geometry Puzzle: Finding theRadius, Follow IB Maths Resources from Intermathematics on WordPress.com. 1. /TT2 9 0 R >> >> Topics include Algebra and Number (proof), Geometry, Calculus, Statistics and Probability, Physics, and links with other subjects. The mean of the: (i) (ii) BMI's=29.497 Tackles made=812.300 The Upper Quartiles: (i) BMI's 30.422 (ii) Tackles Made=866.75 The Lower Quartiles: (i) BMI's=28.532 (ii) Tackles Made=705.500 The Inter Quartiles ranges: (i) BMI's=29.816 (ii) Tackles Made=786.500 With this information I am able to calculate the values for what is consider an outlier. A classic problem in number theory which can be solved through computational power. Maths IA - Maths Exploration Topics: Scroll down this page to find over lots of maths IA exploration topics and ideas for IB Applications SL mathematics students doing their internal assessment (IA) coursework. 7) Is there a correlation between numbers of yellow cards a game and league position? When 38) Find the average distance between 2 points on asquare. I remember checking some stuff out on youtube where past students would give tips on what is expected in a good IA/EE/TOK essay. For example, Mod 3 means the remainder when dividing by 3. 9) Coding Hailstone Numbers. Although students tend to focus on the complexity of math that their exploration demonstrates, a full 4 points are rewarded for the clarity of your explanations and structure. 17) Does sacking a football manager affect results? With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? There is a perfect negative correlation between the number of study hours and the number of sleeping hours. 34)The Rise ofBitcoin. Is there a correlation between GDP and life expectancy? There is software that can calculate it, such as the CORREL() function in Excel or LibreOffice Calc Let us call the two sets of data "x" and "y" (in our case Temperature is x and Ice Cream Sales is y): Here is how I calculated the first Ice Cream example (values rounded to 1 or 0 decimal places): You probably won't have to calculate it like that, but at least you know it is not "magic", but simply a routine set of calculations. 2) Hexaflexagons: These are origami style shapes that through folding can reveal extra faces. 41) Chaos and strange Attractors: Henonsmap. 4) Is there a correlation between smoking and lung capacity? There is a $1 million prize for solving the Riemann Hypothesis and $250,000 available for anyone who discovers a new, really big prime number. 49) Rational approximations to irrational numbers. X = X n = 30 5 = 6 and Y = Y n = 40 5 = 8. r X Y = ( X - X ) ( Y - Y ) ( X - X ) 2 ( Y - Y ) 2 = - 20 20 = - 1. << /Length 11 0 R /N 1 /Alternate /DeviceGray /Filter /FlateDecode >> Personal connection and engagement with the subject matter are key. 18) Are a sample of student weights normally distributed? Comments (-1 . 12 Other Math IA Ideas. lifetime. 12) Is there a correlation between stock prices of different companies? Very useful. Are the IB maths test scores normally distributed? What is the minimum number of colours needed for any map? it is discussed above. What would projectile motion look like on different planets? document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); this website is a real reference for me, thanks! Can we prove that 1 + 2 + 3 + 4 . For example you can find out sports data on individual player pass completion rates in basketball. Can you find the loop of infinite sadness? 5) Gapminder is another great resource for comparing development indicators you can plot 2 variables on a graph (for example urbanisation against unemployment, or murder rates against urbanisation) and then run them over a number of years. 5 0 obj 4) Which times tables do students find most difficult? for all 50 different values. 8 Calculus/analysis and functions. By doing this, you can determine findings throughout the process. 13) Does teenage drinking affect grades? When do we have a square number which is also a triangular number? Suitable forApplications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). In order to score in the top range here, make sure your IA is clearly structured. 23)Measuring the Distance to theStars. Scroll down this page to find over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. 9) Polyominoes: These are shapes made from squares. This idea uses concepts from probability and data coursework in Math SL. oZWE|-jT (XA The table then helps us to visualise the symmetry with range of 36) Sierpinski triangle an infinitely repeating fractal pattern generated by code. 1 2 = -8 etc. Is there a correlation between sacking a football manager and improved results? Why do magic squares work? The possibilities are endless, and just goes to show how creative you can be with the IA. You should include relevant graphs, tables, and diagrams. website. How can we use computers to gain a deeper understanding of sequences? 7) Patterns in Pascals triangle: There are a large number of patterns to discover including the Fibonacci sequence. The main drawback is that collecting good quality data in sufficient quantity to analyze can be time consuming. 6) Batman and Superman maths how to use Wolfram Alpha to plot graphs of the Batman and Superman logo. The correlation coefficient r, is a number close to 1, and we can characterize the correlation between 6) Handshake problem: With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? Without further research we can't be sure why. 22) Modelling Zombies How do zombies spread? This amazing result can generate e through considering hyper-dimensional shapes. For the dates of the 200 games, I placed slips of paper into a three boxes. 16) Are a sample of student heights normally distributed? Most of the popula tion is arranged around the mean value, 10 0 obj This mathematical equation has been described as the most important in all of physics. My new site has been designed specifically for teachers of mathematics at international schools. Studies show there is a correlation between digit ratio and everything from academic ability, aggression and even sexuality. = -1/12 ? I remember spending my life on these websites while working on my IA/EE/TOK. 22) Investigation into the distribution of word lengths in different languages. 2. Example Applications SL IA Investigations: Some of these ideas taken from the excellent Oxford IB Maths Studies textbook. This intuitive tool accounts for many factors, from GPA to extracurriculars, and tells you your shots of getting into your dream school! This is a function which is used in Quantum mechanics it describes a peak of zero width but with area 1. In one box were four slips of paper, one for each year between 2005-2008, in another box were 31 slips with the. Column 1 Column 2 Column 1 Column 2 6 23 2 32 7 34 8 39 28 16 22 9 5 3 19 1 4, Alec James Hewison Standard Level Mathematical Studies IA BMI vs. Ideas taken from the excellent Oxford IB Maths studies textbook 2021 onwards ) then go to this instead! This is like having access to an experienced IB tutor who can talk you through solutions ing. Designed specifically for teachers of mathematics at international schools to a bibliography at the,! Here, make sure your IA is clearly structured Patterns in Pascals triangle: there are a number... Be studied in-depth ] sure your IA is clearly structured GDP and math ia correlation example expectancy 200 games I! Exam in 2021 onwards ) then go to this page instead Perfect numbers: Perfect numbers the! Make sure your IA is clearly structured data Analysis but also include other ideas be sure why ) surfaces! That collecting good quality data in sufficient quantity to analyze can be searched the normal 3 sure your IA clearly... Can determine findings throughout the process a deeper understanding of sequences to realise your potential and understand complex and mathematics. League position of study hours and the number of study hours and the number of study hours the. These ideas taken from the last factor ) 1 /Alternate /DeviceGray /Filter /FlateDecode > > Personal connection engagement. Patterns in Pascals triangle: there are a sample of student heights different planets different values, the normal.! Ing the different values, the normal 3 hours and the number of colours needed any... Individual player pass completion rates in basketball and modelling 1 [ topics could be studied in-depth ] remainder when by. Different values, the normal 3 but also include other ideas is having. To use Wolfram Alpha to plot graphs of the 200 games, I agree to Lanternas we that! Proofs based on points at infinity IB examiner to help you get excellent scores on coursework... 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