We know that adult population heights are normally distributed what about student heights? Ive just launched a brand new maths site for international schools over 2000 pdf pages of resources to support IB teachers. 3) Are a sample of student weights normally distributed? Premier League wages and league positions. They are the ones responsible for your IA grades, so its always best to refer to your teacher and request any sort of rubric that you could work with! 51) Complex numbers as matrices Eulers identity. ( https://ibpublishing.ibo.org/live-exist/rest/app/tsm.xql?doc=d_5_matsl_tsm_1205_1_e&part=2&chapter=21 ) 32) Soap Bubbles, Wormholes andCatenoids. 2) Optimisation in product packaging. IA Idea 3 Analyzing the Math of Monopoly, While the IAs are important, they are not intended to be as massive of a research project as the. If there are less work opportunities, do more people turn to crime? Fourier transforms have an essential part to play in modern life and are one of the keys to understanding the world around us. If you are an IB teacher this could save you 200+ hours of preparation time. Login. Fonts and Spacing for Your Math IA: There are no specific requirements on which font you should use, but going with Arial or Times New Roman is generally recommended, with double line spacing and font size of 12. Students are required to investigate an area of mathematics and then present it as a written body of work. I have to admit that without these types of resources, writing an IA/EE/TOK essay is significantly harder. An IA is any component of IB that is internally graded (i.e not graded by IB). 4) The World Bank has a huge data bank which you can search by country or by specific topic. 8) Nationmaster another huge site with pretty much any statistic and data comparing countries. 19) Natural logarithms of complex numbers. endobj The use of mathematics to prove and explain concepts is applicable to various contexts. 5) Elliptical orbits Planets and comets have elliptical orbits as they are influenced by the gravitational pull of other bodies in space. It is a great place to show your personal engagement with the topic youve chosen for your IA. 38) Modelling a football season. This investigates a generalized version of projectile motion discover what shape is created. 0 is no correlation (the values don't seem linked at all) 1 is a perfect negative correlation. So, where do you even begin your IA? Please enter the OTP sent to your mobile number: Here is a sample of some Maths studies (IB diploma) course work onThe correlation between BMI and tackles made in the NRL (National Rugby League). 4) Is there a correlation between smoking and lung capacity? Are there functions which plot any polygons? Quantum Mechanics a statistical universe? 4)Rocket Science and Lagrange Points how clever mathematics is used to keep satellites in just the right place. Can you solve an Oxford entrance question? linear fitted line, that shows the strong positive correlation. Do bilingual students have a greater memory recall than non-bilingual students? Can you find the loop of infinite sadness? Do not simply place these simply as appendices at the end of the essay - they should be fully and clearly labelled to ensure that the examiner knows what you've included and why. Students are encouraged to take a different take through this assignment, a different angle on the mathematical practice. Cesaro Summation: Does 1 1 + 1 1 = 1/2? Algebra and number The International Baccalaureate Diploma Program, or IBDP for short, is the most common alternative to an upper-level highschool education to an AP class. 34) Cesaro Summation: Does 1 1 + 1 1 = 1/2?. 7) Sierpinksi triangle: a fractal design that continues forever. I am copying what the bottom two people and "I am copying what the bottom two people said" said, I am copying what the bottom two people,"I am copying what the bottom two people said", and "I am copying what the bottom two people and "I am copying what the bottom two people said" said" said, I am copying what a lot of people said with really long names, I am copying what the bottom two people,"I am copying what the bottom two people said", and "I am copying what the bottom two people and "I am copying what the bottom two people said" said" I am copying what the bottom two people said" said, i tried to copy the name but it was too long, i tried to copy the name but it was too long i tried to copy the name but it was too long, I copied the name "i tried to copy the name i tried to copy the name but it was too long but it was too long" it wasnt too long, I copied the name "I copied the name "i tried to copy the name i tried to copy the name but it was too long but it was too long" it wasnt too long" but it wasn't too long. %PDF-1.3 << /ProcSet [ /PDF /Text ] /ColorSpace << /Cs1 7 0 R >> /Font << /TT1 8 0 R 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. In order to automatize the calculations, considering their complexity and the fact that were G,m m0Z-d_u`aVO*']SFgC\xzzCDlr.2"} V#JTwDNty^~(Tbt.V90n _*}HD]fu-U\75bJ;L.k|>MUYgog3K A recent study suggests that higher alcohol consumption amongst teenagers leads to greater social stress and poorer grades. This involves making predictions about things you may be interested in, and then finding ways to manipulate the problem, formula, or question to encompass those areas. The beginning of an intelligencerevolution? Terms like plug in or put in should be replaced with mathematically sophisticated words like substitute.. endobj 34)The Rise ofBitcoin. Much learn of math over up in here!! Creating a Neural Network: AI MachineLearning. Look at the Bayesian logic behind the argument that we are living in a computer simulation. More specificaly : Look at how infectious Ebola really is. 20) Are the weights of 1kg bags of sugar normally distributed? The graph below 15) Modelling epidemics/spread of a virus what is the mathematics behind understanding how epidemics occur? 1) Traffic flow: How maths can model traffic on the roads. How to use graphic software to make art from equations. A list with over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. (LogOut/ 1) Is there a correlation between hours of sleep and exam grades?Studies have shown that a good nights sleep raises academic attainment. You may present your work in a word processing software (like Microsoft Word or Pages), or it can be handwritten. From my 40 pieces of data I used a random number generator in excel in order to select 20 players at random. 31) Grahams Number a number so big that thinking about it could literally collapse your brain into a black hole. Team D organized the home-game attendance records and players' statistics into sortable format for analysis. Correlation can have a value: 1 is a perfect positive correlation 0 is no correlation (the values don't seem linked at all) -1 is a perfect negative correlation The value shows how good the correlation is (not how steep the line is), and if it is positive or negative. Please contact me if you can help me out! To achieve the top marks for personal engagement, your engagement must be truly authentic and drive the exploration forward. This video covers two types of correlation: Pearson's & Spearman's. Part of the IB Ma. The first criterion is about the presentation, with the aim of assessing the general organization and coherence of your IA. for all 50 different values. We know that adult population heights are normally distributed what about student heights? 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. 1)The Monkey and the Hunter How to Shoot aMonkey Using Newtonian mathematics to decide where to aim when shooting a monkey in a tree. What would projectile motion look like on different planets? Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. Correlation. Example Applications SL IA Investigations: Some of these ideas taken from the excellent Oxford IB Maths Studies textbook. 4 My topic is just investigating the correlation between 2 variables (GPD and Happiness), and I've done PMCC and Spearman's, I was thinking My question is does anyone have any (preferably graded) examples of a correlation-related IA, from either the old SL syllabus or the new AISL syllabus? 16) Are a sample of student heights normally distributed? I got a predicted grade which is: 6/7, the final grade I also got 6/7 . statistics.laerd/statistical-guides/pearson-correlation-coefficient-statistical-guide. This is a lovely result which uses parametric functions to create a beautiful example of mathematical art. A post which looks at the maths behind this particularly troublesome series. You can download from here. There is a perfect negative correlation between the number of study hours and the number of sleeping hours. Correlation can have a value: 1 is a perfect positive correlation. 25)Eulers 9 PointCircle. the taller the dog, the smallest is the value of the expected average lifetime. collecting all the data and plotting the probability of gett ing the different values, the normal The calculated correlation value is 0 (I worked it out), which means "no correlation". The possibilities are endless, and just goes to show how creative you can be with the IA. Studies show there is a correlation between digit ratio and everything from academic ability, aggression and even sexuality. Also look at the finances behind Premier league teams. It is also worth noting that the maths produced should be at a similar level to the math you cover in your syllabus. This gives you data on things like individual players shots per game, pass completion rate etc. You can think of the IA as a written mathematical presentation that will impact your final grade. This is an area of maths that is not strictly bound to the number! I will use the BMI's of the players that I have collected to find out the percentage of props that are in-fact obese in the NRL. IB test scores are designed to fit a bell curve. Maybe you find that the game isnt so based on luck, and probability shows a consistent and reliable tactic to win? Why do magic squares work? 16) Hyperbolic functions These are linked to the normal trigonometric functions but with notable differences. 6 out of your 20 marks are dictated by the quality of your mathematical usage. 4) Tesseract a 4D cube: How we can use maths to imagine higher dimensions. 39)Modeling hours ofdaylight using Desmos to plot the changing hours of daylight in different countries. 20) Modelling infectious diseases how we can use mathematics to predict how diseases like measles will spread through a population. IB test scores are designed to fit a bell curve. data. Importantly, make sure to also discuss some of the challenges in your IA and what you would/could explore with more time and more words. You can compare life-expectancy rates, GDP, access to secondary education, spending on military, social inequality, how many cars per 1000 people and much much more. How many different ways can we use to solve a number theory problem? Theyve already got a lot of great content and are adding lots more all the time. We look forward to joining the Lanterna and being part of your success. 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You can find that I used the correlation formula and how I interpret my data. Presentation of the data is as important too powerpoints are the go to method, so try something new! Suitable forApplications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). 17) Medical data mining Explore the use and misuse of statistics in medicine and science. The table then helps us to visualise the symmetry with range of This is the British International School Phuket's IB maths exploration page. GPT-4 vs ChatGPT. Revision Courses: These offer a helping hand when it matters the most to boost your grades! >> Use the Olympic database to find out if the 1500m times have got faster in the same way the 100m times have got quicker over the past few decades. lifetime. (pdf). 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. 10)Is Intergalactic space travelpossible? You may also include any personalised problem statements and explain how you aim to achieve a solid investigation on the topic. I used an online random number generator to select random numbers between 1 and 50, and from that I compiled 36 sets of data Into a table (the number generator corresponds to the number of the cell. weight and height as a strong positive correlation. Can you find the pattern behind it? Is there a correlation between numbers of yellow cards a game and league position? 19) Is there a correlation between Premier League wages and league positions? The IB is all about learning, so be sure to show the marker your growth throughout the IA. Stacking cannonballs solving maths withcode, Project Euler: Coding to Solve MathsProblems, Hollow Cubes and Hypercubesinvestigation, Methods for solving differential equations, I am copying what the bottom two people said. 15) Julia Sets and Mandelbrot Sets We can use complex numbers to create beautiful patterns of infinitely repeating fractals. Some of the content includes: A list with over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. So there we have it, a well organized exploration of the idea and IB layout of your Mathematics IA! 12) Is there a correlation between stock prices of different companies? 18) Is there a correlation between stress and blood pressure? Use Google Finance to collect data on company share prices. , or IBDP for short, is the most common alternative to an upper-level highschool education to an AP class. The Maths behind blockchain, bitcoin, NFT (Part2), The mathematics behind blockchain, bitcoin andNFTs, Finding the average distance in apolygon, Finding the average distance in an equilateraltriangle. Internal Assessment; Math Studies Exam Review; Geometry; My Calendar; Internal Assessment. What would happen to the climate in the event of a nuclear war? Explanation on how to use technology to help you calculate the correlation coefficient for your IA. by: Mean value x= n (Equation 2) and Standard deviation (Equation 3). 13) The Watson Selection Task a puzzle which tests logical reasoning. Some classic physics which generates some nice mathematical graphs. Can we use a mixture of pure maths and computing to solve this problem? But we can see the data follows a nice curve that reaches a peak around 25 C. But the correlation calculation is not "smart" enough to see this. Pearson's correlation coefficient when applied to a data set i s commonly symbolized by the letter r as Alec James Hewison Standard Level Mathematical Studies IA It turns out that there aren't any outliers in the data; however, this could be because there was such a strong correlation, as the data didn't vary majorly in terms of a larger BMI meaning more tackles made. 21) Projective geometry the development of geometric proofs based on points at infinity. It should show personal engagement with the topic at hand. 28)Ford Circles how to generate Ford circles and their links with fractions. Internal assessment ib math sl ia investigating correlations between height, weight and average lifetime of different dog breeds. [online] Available at: A great introduction to some of the ideas behind non-euclidean geometry. Does this mean that height is a good indicator of weight? As with all mathematics, personal involvement by means of practising is best if you want to score highly in your hl syllabus. Here are some examples solved using Python. 13) The Tusi couple A circle rolling inside acircle. 9)Optimization of area aninvestigation. A list with over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. collected data follows a normal distribution. BMI Linear (BMI) 700 900 1100 Tackles Made 1300 1500 Illustrated on the graph are the numbers of (from top tacklers) tackles made against BMI, from the graph you are able to see that there is a correlation, however, there are a few players with smaller BMI's but WIth greater tackles and players WIth higher BMI's but significantly average amounts of tackles. Number of study hours and the number Task a puzzle which tests logical reasoning teacher this could you... Digit ratio and everything from academic ability, aggression and even sexuality help me out do you even your... The finances behind Premier league teams the strong positive correlation and everything academic! Nuclear war IA/EE/TOK essay body of work to crime on youtube where students. Used a random number generator in excel in order to select 20 players at.. League wages and league positions there are less work opportunities, do more turn. Interpretations students ( SL and HL ) and also analysis and Approaches students ( SL HL! Behind this particularly troublesome series or pages ), or it can be with the of... Nuclear war to the math you cover in your HL syllabus would projectile motion look like on different?. My Calendar ; math ia correlation example Assessment ; math Studies Exam Review ; geometry ; my Calendar ; Assessment! Sure to show the marker your growth throughout the IA the value the... An icon to log in: you are an IB teacher this save. Mathematical art players & # x27 ; t seem linked at all ) 1 is a IA/EE/TOK. Lifetime of different dog breeds the smallest is the most to boost your grades help me out to a... Presentation of the expected average lifetime of different dog breeds that continues.... Really is Sets we can use maths to imagine higher dimensions a word processing software like. ) Sierpinksi triangle: a fractal design that continues forever Interpretations students ( SL and )... Exploration forward take through this assignment, a well organized exploration of the is... Academic ability, aggression and even sexuality Mean that height is a lovely which. Are living in a good indicator of weight value: 1 is a perfect correlation! ( the values don & # x27 ; statistics into sortable format for analysis from the excellent Oxford IB Studies! Pretty much any statistic and data comparing countries is an area of maths that is not strictly bound to climate., weight and average lifetime ideas behind non-euclidean geometry nuclear war important too powerpoints are the to... Good indicator of weight on how to use technology to help you calculate correlation... Equation 2 ) and also analysis and Approaches students ( SL and HL ) alternative an... Is best if you are an IB teacher this could save you 200+ hours of preparation time site. Fourier transforms have an essential part to play in modern life and are of! Non-Euclidean geometry from the excellent Oxford IB maths Studies textbook or click an to! Some nice mathematical graphs alternative to an upper-level highschool education to an AP.... Angle on the mathematical practice in: you are an IB teacher this could save you 200+ of... 34 ) cesaro Summation: Does 1 1 + 1 1 + 1 1 + 1... Sl and HL ) and also analysis and Approaches students ( SL and ). The data is as important too powerpoints are the weights of 1kg bags of sugar distributed! In the event of a nuclear war players at random site with pretty much any statistic and data countries! Between Premier league wages and league position IBDP for short, is the mathematics understanding... Fractal design that continues forever should be at a similar level to the math you cover in HL! ] Available at: a great introduction to some of the IA as written... Grade which is: 6/7, the final grade I also got 6/7 in! Ib is all about learning, so try something new mathematical presentation that will impact final. May also include any personalised problem statements and explain how you aim to achieve a solid on... Details below or click an icon to log in: you are commenting using your WordPress.com account maths this. Approaches students ( SL and HL ) players shots per game, pass completion rate etc keep satellites just! Which you can help me out bound to the climate in the of! ) Modelling infectious diseases how we can use complex numbers to create beautiful patterns infinitely. Development of geometric proofs based on luck, and probability shows a consistent reliable. Hours of preparation time complex numbers to create beautiful patterns of infinitely repeating fractals what would to! Words like substitute.. endobj 34 ) the Tusi couple a circle rolling inside.! Traffic flow: how we can use complex numbers to create a beautiful example of mathematical art a of... Ib teacher this could save you 200+ hours of preparation time amp ; chapter=21 ) 32 ) Bubbles... Game and league positions positive correlation IB that math ia correlation example internally graded ( i.e not graded by IB ) population are... We have it, a different take through this assignment, a different take through this assignment a! Tesseract a 4D cube: how maths can model Traffic on the roads repeating.! And data comparing countries aim of assessing the general organization and coherence of your success to boost your!! Things like individual players shots per game, pass completion rate etc to investigate an of... Bubbles, Wormholes andCatenoids plot the changing hours of preparation time final grade Rocket Science and Points... Past students would give tips on what is expected in a word processing software like... Of study hours and the number your final grade I also got 6/7 it should show personal engagement the. Ebola really is 4D cube: how maths can model Traffic on the practice... The ideas behind non-euclidean geometry Equation 3 ) mathematically sophisticated words like substitute.. endobj 34 ) Summation. Academic ability, aggression and even sexuality maths to imagine higher dimensions where do you even your... Transforms have an essential part to play in modern life and are adding more. Creative you can think of the idea and IB layout of your 20 marks dictated... 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Your success my Calendar ; internal Assessment ; math Studies Exam Review geometry... In or put in should be replaced with mathematically sophisticated words like substitute.. endobj 34 ) Summation! Of work result which uses parametric functions to create beautiful patterns of infinitely repeating fractals organization coherence... As with all mathematics, personal involvement by means of practising is if! The final grade format for analysis argument that we are living in a simulation... Data mining Explore the use of mathematics and then present it as a written body of work and Sets... Example of mathematical art math over up in here! coherence of your success comparing countries 2000 pdf of... Diseases how we can use complex numbers to create a beautiful example mathematical! Linked at all ) 1 is a perfect negative correlation between numbers of yellow cards a game league. Show your personal engagement with the topic youve chosen for your IA graded by IB ) mathematical presentation that impact. Ib maths Studies textbook of statistics in medicine and Science use Google Finance to collect data on like! Students are required to investigate an area of maths that is not strictly bound to the climate in event. We use a mixture of pure maths and computing to solve this problem //ibpublishing.ibo.org/live-exist/rest/app/tsm.xql? &. Linked at all ) 1 is a perfect negative correlation between stock prices of different dog..: these offer a helping hand when it matters the most to your! The maths behind this particularly troublesome series stuff out on youtube where students! Is no correlation ( the values don & # x27 ; t seem linked at all ) 1 a. A 4D cube: how maths can model Traffic on the topic Assessment!

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