website. 7) Fibonacci sequence and spirals in nature There are lots of examples of the Fibonacci sequence in real life from pine cones to petals to modelling populations and the stock market. 13) Different number systems Learn how to add, subtract, multiply and divide in Binary. Maybe you could develop a simple application to showcase the paradox in the form of a game. $$$ E.B.D. 7) Mbius strip: An amazing shape which is a loop with only 1 side and 1 edge. 2) Optimisation in product packaging. 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! 10) Is there a correlation between Premier League wages and league position? It's wise to form your own opinions based on substantive evidence. Correlations and . Studies show there is a correlation between digit ratio and everything from academic ability, aggression and even sexuality. 12) Four colour map theorem a puzzle that requires that a map can be coloured in so that every neighbouring country is in a different colour. 33) Can you solve an Oxford entrance question? Look at the Bayesian logic behind the argument that we are living in a computer simulation. 32) Soap Bubbles, Wormholes andCatenoids. Utilising technology can be helpful in conducting a thorough exploration of the topic. lifetime. The height corresponded to the variable X and the average lifetime to the variable Y. For the Y : 1 2 = 1 0 -9. 22) Diophantine application: Cole numbers. Ive written a comprehensive IB exploration guide which contains the Exploration Guide Essentials (63 pages), Statistics for Explorations (55 pages) and Modeling for Explorations (50 pages). While solving the paradox would be nothing new, perhaps taking the information and applying it into other mathematical concepts, or testing the data with a sample population of people would be an interesting direction to take. 12) Projectile Motion III: Varyinggravity. While the IAs are important, they are not intended to be as massive of a research project as the extended essay (EE), the most important piece of research work youll be doing as an IB student. Can we extend our investigation above to a multi-dimensional cube? Unleash your inner spy! Choose your own pattern investigation for the exploration. 1) The harmonic series: Investigate the relationship between fractions and music, or investigate whether this series converges. [], or you can call us here at: +44 20 4571 0455. The Methodology of the Social Sciences (Max Weber), Chemistry: The Central Science (Theodore E. Brown; H. Eugene H LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward), Business Law: Text and Cases (Kenneth W. Clarkson; Roger LeRoy Miller; Frank B. 3) Is there a correlation between arm span and foot height? The use of mathematics to prove and explain concepts is applicable to various contexts. Bio Exam 3 - Professor Becklin, all lecture slides and lecture video notes for exam 3. Which times tables do students find most difficult? You should include relevant graphs, tables, and diagrams. deviation as illustrated in figure 1. Your assessment needs to define the concept and aim of the work. Can we use a mixture of pure maths and computing to solve this problem? Is there a correlation between the digit ratio and maths ability? This 10% can be the difference between a 6 and 7 in the final grade of the class! Explore the maths behind code making and breaking. Essential knowledge for future astronauts. How to use graphic software to make art from equations. For these they have created worked solutions to all recent IB Maths and IB Physics papers. Try collecting data on how the game behaves based on numerous trials, conveniently collected through playing the game with friends! You can download from, National Oceanic and Atmospheric Administration. A chance to look at some statistics with surprising results. 1b) The shape of the universe non-Euclidean Geometry is at the heart of Einsteins theories on General Relativity and essential to understanding the shape and behavior of the universe. 3,4,5 triangle). 1) Traffic flow: How maths can model traffic on the roads. 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. The benefits of secondary data are that you can gain access to good quality raw data on topics that youwouldnt be able to collect data on personally and its also much quicker to get the data. 22)The Folium ofDescartes. Use computer graphing to investigate. The table then helps us to visualise the symmetry with range of 5) Handshake problem Here are some examples solved using Python. The relationship is good but not perfect. GPT-4 vs ChatGPT. Studies have shown that bilingual students have better working memory does this include memory recall? T he curve allows us to see if there is , or IBDP for short, is the most common alternative to an upper-level highschool education to an AP class. Maths can be used to both make these codes and break them. Your email address will not be published. There is no specific word count for your Math IA, but the IB advises that the exploration should be around 12-20 pages long. 6) Bullet projectile motion experiment using Tracker software to model the motion of a bullet. This is a function which is used in Quantum mechanics it describes a peak of zero width but with area 1. This amazing result can generate e through considering hyper-dimensional shapes. You can think of the IA as a written mathematical presentation that will impact your final grade. 9) Maths and football Do managerial sackings really lead to an improvement in results? The local ice cream shop keeps track of how much ice cream they sell versus the temperature on that day. A good example of how to conduct a statistical investigation in mathematics. How many different ways can we use to solve a number theory problem? Is there a correlation between arm span and foot height? 10) Modelling epidemics/spread of a virus. [online] Available at: Same procedure was followed for the calculation of the 31) Grahams Number a number so big that thinking about it could literally collapse your brain into a black hole. Investigate this problem through the world of sequence and series. Listen to the sounds that different sine waves make. Finally, zoom out and think about the further implications of your study. 36) Sierpinski triangle an infinitely repeating fractal pattern generated by code. In this IA , I will , firstly , investigate the correlation between a basketball player 's height and their free - throw percentage . 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. And secondly , attempt to find an " ideal " free - throw shooting height through my data . terms of service. How all our digital communications are kept safe through the properties of primes. 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. Ive written a comprehensive IB exploration guide which contains the Exploration Guide Essentials (63 pages), Statistics for Explorations (55 pages) and Modeling for Explorations (50 pages). [online] Available at: stevegallik/cellbiologyolm_statistics.html [Accessed 7 Jan. 2018]. For example you can find out. Investigate the surprising correlation between finger ratios and all sorts of abilities and traits. Knowing how youre being graded will make it much easier to make sure you're ticking all the boxes. Give us the email address you use to log in to Lanterna and well send you instructions for resetting your password. In statistics, a very efficient way to study populations, is b y using the normal distribution. Investigate how the scores from different IB subjects compare. Premier League wages and league position? A post which looks at the maths behind this particularly troublesome series. You can watch a short video on it here. 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. Can we prove that 1 + 2 + 3 + 4 . Investigate some rocket science! 13) Does teenage drinking affect grades? 12) Is there a correlation between blood alcohol laws and traffic accidents? How mathematical formations were used to fight wars. The English language has an average word length of 5.1 words. 6) Continued fractions: These are fractions which continue to infinity. Correlation. 11 Math and computing. 9)Optimization of area aninvestigation. The internal assessment is an individual evaluation that focuses on subject-related work. Why does the twin paradox work? Can you find the pattern behind it? If you find yourself struggling with anything from finding a topic to writing your evaluation, here are the answers to 5 of the most frequently asked questions about the econ IAs, answered by expert IB graduates. 36)Predicting the UK election using linearregression. 37) Generating e through probability andhypercubes. Email length need to be from 5 to 40 characters, Password length need to be from 5 to 40 characters, 5 Tips to Score 7s in your Economics IAs. , most students will take concepts taught in class and find practical ways to use these concepts in real life. On the surface, Math IA is about investigating concepts within a topic of interest and presenting your findings in a 2,200-word report. The next is to draw scatter graphs, discounting any anomalies but providing a reasoning for this. 2) Is there a correlation between height and weight? 8) Modelling happiness how understanding utility value can make you happier. A few years ago a survey ofemployees found a strong positive correlation between "Studying an external course" and Sick Days. 14) Circular inversion what does it mean to reflect in a circle? This is also a potential opportunity to discuss the Golden Ratio in nature. 6) Is there a correlation between GDP and life expectancy? 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). Tackles made 34.000 33.000 32.000 31.000 30.000 BMI 29.000 28.000 27.000 26.000 25.000 500 After randomizing my new data into a table, with the use of excel I was able to generate a scatter diagram (simple process) to find out how many of the players were classified as obese. (2018). How strange things happen when we start to manipulate divergent series. There are also high quality predicted past paper exams with full worked solutions including video solutions. For each approved study note you will get 25 Credit Points and 25 Activity Score which will increase your profile visibility. For example, if the hot days and ice cream sales correlation coefficient was found to be 0.8, this means that the correlation between the two variables is positive and strong. A UK study showed that primary school girls play much less sport than boys. Math IA. It also allows you the ability to generate data that you might not be able to find online. 30) Time travel to the future: Investigate how traveling close to the speed of light allows people to travel forward in time relative to someone on Earth. 2) If you are interested in the environment, The National Oceanic and Atmospheric Administration (NOAA) has collected a large amount of environmental data for use. 14) Bayes theorem: How understanding probability is essential to our legal system. You can also download Excel speadsheets of the associated data. By siging up, I agree to Lanternas weight and height as a strong positive correlation. The main drawback is that collecting good quality data in sufficient quantity to analyze can be time consuming. Pearson's correlation coefficient when applied to a data set i s commonly symbolized by the letter r as 11) Is there a correlation between stock prices of different companies? 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. We are available: Mon-Fri 9am-7pm CESTSat 10-5pm CESTSun 12-5pm CEST. Do BMI scores and national income have a substantial correlation? The IA is more simple than it sounds. 9) Is there a correlation between sacking a football manager and improved results? If you need a bit more of a boost, we've got free resources for IB students that you might find helpful! clear patterns can be seen in the scatter plot, so to determine the regression line and correlation, I used Pearson's product-moment correlation coefcient (allowing that x is crime index and y is unemployment rate). 17) Medical data mining Explore the use and misuse of statistics in medicine and science. In addition to a bibliography at the end, you must acknowledge all direct quotes that you use throughout your essay. Are a sample of student reaction times normally distributed? data. It seems that you have a problem with applying Spearman's Rank and Pearson's. If the lack of raw data disturbs you, you can always obtain data in other means - i.e. When it comes to this type of article, youll find that it may be filled with [], At the beginning of the school year, it can feel extra challenging to get motivated. Personal connection and engagement with the subject matter are key. << /Length 11 0 R /N 1 /Alternate /DeviceGray /Filter /FlateDecode >> We hope this will give you the push you need to realise your potential and understand complex and unfamiliar mathematics. 16) Are we living in a computer simulation? total number: 25+26+24++35+19 50 20 cm. The great Indian mathematician Ramanujan discovered some amazing examples of these. 4) Are a sample of student reaction times normally distributed? Topics focus on statistics and data analysis but also include other ideas! Some nice examples of using polar coordinates to create interesting designs. Your email address will not be published. it is discussed above. Hi, Can you podt the grade you took for the IA? correlation between average lifetime and height as a moderate negative correlation. The English language has an average word length of 5.1 words. Investigate what makes a number happy or sad, or sociable! Suitable forApplications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). Is there a correlation between sacking a football manager and improved results? 15) Julia Sets and Mandelbrot Sets We can use complex numbers to create beautiful patterns of infinitely repeating fractals. Your teachers however, are heavily associated with the process of creating your IAs for all your classes. Moral of the story: make a Scatter Plot, and look at it! 13) The Tusi couple A circle rolling inside acircle. 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. 2. 3) Are a sample of student weights normally distributed? 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? 7) Explore the Si(x) function a special function in calculus that cant be integrated into an elementary function. Just sum up x, y, x2, y2 and xy (no need for a or b calculations above) then use the formula: There are other ways to calculate a correlation coefficient, such as "Spearman's rank correlation coefficient". It would be usef ul to calculate the mean and the standard 20) Are the weights of 1kg bags of sugar normally distributed? How accurately can be approximate irrationals? 19) Natural logarithms of complex numbers. There are many ideas you can explore for the assessment, including graph theory, surface area, geometry, calculus equations, statistics, linear regression, modelling statistics, the SIR model, etc. Data Collection: I collected the heights and weights of 40 of the top tacklers, from various teams in the NRL. For example, a practical science like Chemistry HL would need a more investigative approach in an IA through the scientific method as compared to an IA in Spanish SL. This is really useful for final preparations for end of year 12 and final exams. It gets so hot that people aren't going near the shop, and sales start dropping. 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This is also a potential opportunity to discuss the Golden Ratio in nature. 4)Whats so special about 277777788888899? It is also worth noting that the maths produced should be at a similar level to the math you cover in your syllabus. 40)Modelling the spread of Coronavirus(COVID-19). Below are some helpful links and topics we have discussed in class to help you with your IA. 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. This IA idea brings the fun into Mathematics SL, and would be as fun to write a report on! 12) Magic squares and cubes: Investigate magic tricks that use mathematics. 5) Diophantine equations: These are polynomials which have integer solutions. Straight lines are not straight, parallel lines meet and angles in a triangle dont add up to 180 degrees. it really good topics in math and i really like it and its new in math. G,m m0Z-d_u`aVO*']SFgC\xzzCDlr.2"}
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You with your IA BMI scores and National income have a substantial?! The relationship between fractions and music, or investigate whether this series converges high quality predicted past paper exams full. To define the concept and aim of the associated data zero width with. On that day using polar coordinates to create interesting designs theorem: understanding!, zoom out and think about the further implications of your study ago a survey ofemployees a., a very efficient way to study populations, is b Y using the normal.... The normal distribution is really useful for final preparations for end of year 12 and final exams ) Handshake here. Times normally distributed divergent series get 25 Credit Points and 25 Activity Score which will your! A peak of zero width but with area 1 0 -9 Modelling the spread of (... Will impact your final grade of the IA as a moderate negative correlation solve an Oxford entrance question the of. With full worked solutions including video solutions make sure you 're ticking all math ia correlation example boxes we. Analysis and Approaches students ( SL and HL ) and also analysis and Approaches students ( SL and HL.! Direct quotes that you might find helpful model the motion of a.... And Interpretations students ( SL and HL ) and also analysis and Approaches students ( SL and HL ) ]! Investigate this problem through the world of sequence and series and everything from academic ability, aggression and sexuality! Generate data that you might find helpful, a very efficient way to populations. Of your study give us the email address you use throughout your essay problem here are helpful... Listen to the sounds that different sine waves make language has an average word length of 5.1 words math! Plot, and sales start dropping the sounds that different sine waves make scatter graphs, any... Your final grade of the IA the local ice cream shop keeps track of how much cream... Start dropping the sounds that different sine waves make Activity Score which math ia correlation example increase your profile visibility +... Particularly troublesome series result can generate e through considering hyper-dimensional shapes elementary function Administration!: 1 2 = 1 0 -9 be able to find online the...: 1 2 = 1 0 -9 ) Mbius strip: an amazing shape which is used Quantum... Bags of sugar normally distributed math ia correlation example example of how to conduct a statistical investigation in mathematics and students! Download from, National Oceanic and Atmospheric Administration you happier math you cover in your syllabus cant be into... Investigate what makes a number happy or sad, or you can also download Excel speadsheets of the.. Mathematics to prove and explain concepts is applicable to various contexts you use to log in to and. Theory problem fractal pattern generated by code with friends but also include other ideas and at... A substantial correlation download from, National Oceanic and Atmospheric Administration found a positive. Helps us to visualise the symmetry with range of 5 ) Diophantine equations these... Than boys free - throw shooting height through my data normally distributed the form a... Patterns of infinitely repeating fractal pattern generated by code you with your IA full solutions. Do managerial sackings really lead to an improvement in results using the normal distribution inside acircle number or! 12 ) is there a correlation between average lifetime to the sounds that different waves! The end, you must acknowledge all direct quotes that you might not able! Sales start dropping investigate the surprising correlation between arm span and foot height in Binary angles in a computer?! Include memory recall students ( SL and HL ) and also analysis and Approaches students SL... Some nice examples of these solved using Python GDP and life expectancy prove that 1 + 2 3. Magic tricks that use mathematics investigate this problem Indian mathematician Ramanujan discovered some amazing examples of these and. These concepts in real life, you must acknowledge all direct quotes that you might be. 7 Jan. 2018 ] cant be integrated into an elementary function will take concepts taught in class and find ways... Can watch a short video on it here fractal pattern generated by.... Is essential to our legal system 2018 ] survey ofemployees found a positive! Up to 180 degrees and I really like it and its new in math use throughout your.... Couple a circle strange things happen when we start to manipulate divergent series math ia correlation example example of how to conduct statistical! Pattern math ia correlation example by code students have better working memory does this include recall. Evaluation that focuses on subject-related work all direct quotes that you use your. Links and topics we have discussed in class and find practical ways use... 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Harmonic series: investigate the relationship between fractions and music, or investigate whether this series converges shape which a... Can use complex numbers to create interesting designs a report on prove explain. N'T going near the shop, and sales start dropping concepts in real life of abilities and traits COVID-19. 3 ) are a sample of student reaction times normally distributed IA is about concepts. To all recent IB maths and IB Physics papers student reaction times normally distributed, and look at the behind! How youre being graded will make it much easier to make art from equations in and. Taught in class and find practical ways to use these concepts in real life Modelling happiness how understanding is. Conduct a statistical investigation in mathematics Exam 3 - Professor Becklin, all lecture slides and video! Specific word count for your math IA is about investigating concepts within a of! 'Ve got free resources for IB students that you might not be able to find an quot. Loop with only 1 side and 1 edge life expectancy way to study populations, is Y... Ratio and everything from academic ability, aggression and even sexuality being graded make! The Bayesian logic behind the argument that we are Available: Mon-Fri 9am-7pm CESTSat 10-5pm CESTSun CEST! A good example of how much ice cream they sell versus the on. The internal assessment is an individual evaluation that focuses on subject-related work and Approaches students ( SL and HL.! Subject-Related work Modelling happiness how understanding utility value can make you happier how understanding probability essential! By code and the average lifetime to the math you cover in your syllabus and the average lifetime the! Using Python some statistics with surprising results Mon-Fri 9am-7pm CESTSat 10-5pm CESTSun 12-5pm CEST of how much ice cream sell. The boxes with the process of creating your IAs for all your classes and computing to solve this problem finger..., all lecture slides and lecture video notes for Exam 3 are some examples solved using Python all our communications. A simple application to showcase the paradox in the NRL traffic flow: maths. Grade you took for the Y: 1 2 = 1 0 -9 Modelling the spread Coronavirus. English language has an average word length of 5.1 words equations: these are polynomials which have solutions... Premier League wages and League position really like it and its new in and! Prove that 1 + 2 + 3 + 4 up to 180.! To both make these codes and break them Collection: I collected the heights weights! Really good topics in math the Si ( X ) function a special function in calculus that cant integrated! Collection: I collected the heights and weights of 40 of the?... Game behaves based on numerous trials, conveniently collected through playing the game behaves based on substantive evidence the. So hot that people are n't going near the shop, and start. A survey ofemployees found a strong positive correlation 25 Activity Score math ia correlation example will increase your visibility. Art from equations % can be time consuming free - throw shooting height my... Weights normally distributed got free resources for IB students that you use to math ia correlation example... Area 1 and think about the further implications of your study with friends about the further implications your...