A fun IA idea could be analyzing the probability and statistics behind the game Monopoly! Therefore the calculation of the mean was about adding all the different weights and dividing by the 10) Mathematical card tricks investigate some maths magic. This allows students to prove understanding of a concept and its uses. 7) When do 2 squares equal 2cubes? Find out! This means, that Is there a correlation between the digit ratio and maths ability? Look out for these during the Winter and Easter breaks before the final exam. 11) Understanding the fourth dimension: How we can use mathematics to imagine (and test for) extra dimensions. Bookmark Download. 51) Complex numbers as matrices Eulers identity. future development and use for other purposes/with other data. 4)Whats so special about 277777788888899? An essential component of JPEG, DNA analysis, WIFI signals, MRI scans, guitar amps find out about the maths behind these essential technologies. 2/3 could be written as 1/6 + 1/2. 42) The Martingale system paradox. One example is modeling the radioactive decay of chernobyl, and determining if conditions are suitable for living. endobj 3) Is there a correlation between arm span and foot height? Investigate what makes a number happy or sad, or sociable! Look at how infectious Ebola really is. A geometric proof for the arithmetic and geometricmean, Classical Geometry Puzzle: Finding theRadius. Or did they lie about being sick so they can study more? 17) Graphing Stewie from Family Guy. 17) Chinese remainder theorem. 7) Sierpinksi triangle: a fractal design that continues forever. Please contact me if you can help me out! 38) Modelling a football season. 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. Statistics - CellBiologyOLM. For example you can find out. another huge site with pretty much any statistic and data comparing countries. 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. 32) RSA code the most important code in the world? Alec James Hewison Standard Level Mathematical Studies IA Name: Alec Hewison Date: Standard Level Mathematical Studies IA Title: The correlation between BMI and tackles made in the NRL (National Rugby League), Alec James Hewison Standard Level Mathematical Studies IA Introduction: It is said that "BMI" (Body Mass Index) is used as an indicator of an individual's health. How mathematical formations were used to fight wars. How many people need to be in a room for it to be at least 50% likely that two people will share the same birthday? << /Type /Page /Parent 3 0 R /Resources 6 0 R /Contents 4 0 R /MediaBox [0 0 612 792] In this case, it is about the investigation of and correlation between mathematical concepts. 16) Is there a correlation between blood alcohol laws and traffic accidents? 8) Squaring the circle: This is a puzzle from ancient times which was to find out whether a square could be created that had the same area as a given circle. 9)Modeling with springs andweights. Your assessment needs to define the concept and aim of the work. Can you solve Oxford Universitys InterviewQuestion? , most students will take concepts taught in class and find practical ways to use these concepts in real life. Maths of Global Warming Modeling Climate Change, Circular Motion: Modelling a Ferriswheel, Predicting the UK election using linearregression, Modelling the spread of Coronavirus(COVID-19), Finding the volume of a rugby ball (or Americanfootball). This intuitive tool accounts for many factors, from GPA to extracurriculars, and tells you your shots of getting into your dream school! If you have your own Study Notes which you think can benefit others, please upload on MyPrivateTutor. 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. 5) The mathematics of cons how con artists use pyramid schemes to get rich quick. 6) Bullet projectile motion experiment using Tracker software to model the motion of a bullet. If you are asking, "what is a good topic for a Math IA" we can help you brainstorm. 3) Do bilingual students have a greater memory recall than non-bilingual students? If you are doing IB Maths Analysis (exam in 2021 onwards) then go to this page instead. 10) Is there a correlation between Premier League wages and league position? Does finger length predict mathematical ability? Alongside the criteria, samples of the students work (oral performances, portfolios, lab reports, and essays) are also submitted to the IB for the final grade. This topics provides a fascinating introduction to both combinatorial Game Theory and Group Theory. 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. 6) Are the IB maths test scores normally distributed? You can download from, National Oceanic and Atmospheric Administration. Rational approximations to irrational numbers. 1 2 = -8 etc. lifetime. 23) Modelling music with sine waves how we can understand different notes by sine waves of different frequencies. Exemplars. An interesting insight into the mathematical field of Number Theory. It is a great place to show your personal engagement with the topic youve chosen for your IA. 1) How can you optimise the area of a farmers field for a given length of fence? [online] Available at: stevegallik/cellbiologyolm_statistics.html [Accessed 7 Jan. 2018]. Studies have shown that bilingual students have better working memory does this include memory recall? 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. Moral of the story: make a Scatter Plot, and look at it! which you can search by country or by specific topic. 11) Does eating breakfast affect your grades? 11) Tracker software will allow you to track data from a video and then produce graphs. The normal distribution curve, also known as the Bell shape d curve has a concentration at its center Does this mean that sunglasses make people want ice cream? How to use modeling to predict booms and busts. Using the physics of travel near the speed of light to see how we could travel to other stars. The main drawback is that collecting good quality data in sufficient quantity to analyze can be time consuming. The use of mathematics to prove and explain concepts is applicable to various contexts. Statistics and modelling 2 [more simplistic topics: correlation, normal,Chi squared]. Comments (-1 . What is the Mordell equation and how does it help us solve mathematical problems in number theory? We can analyse the data to find out. 6) Continued fractions: These are fractions which continue to infinity. We hope this will give you the push you need to realise your potential and understand complex and unfamiliar mathematics. Example: Ice Cream Sales Try to plot the locus of a sliding ladder. I remember spending my life on these websites while working on my IA/EE/TOK. More computing led investigations. Good call! This 10% can be the difference between a 6 and 7 in the final grade of the class! 21) Using Chi Squared to crack codes Chi squared can be used to crack Vigenere codes which for hundreds of years were thought to be unbreakable. Did your learning affect your life in any way, or how might it affect the lives of others? Scroll down for the full list of . Change), You are commenting using your Twitter account. Studies have shown that bilingual students have better working memory does this include memory recall? website. (Easypolls, 2018) the center, left and right. I got a predicted grade which is: 6/7, the final grade I also got 6/7 . 8)The Remarkable Dirac DeltaFunction. 23) Do bilingual students have a greater memory recall than non-bilingual students? The calculated correlation value is 0 (I worked it out), which means "no correlation". Hi would investigating the formula 1 racing strategy using game theory and monte carlo simulation be a good enough topic for hl? 5) Knights tour in chess: This chess puzzle asks how many moves a knight must make to visit all squares on a chess board. This concept can be done with almost any board game, making the application of the idea boundless! There has been a recent breakthrough in this problem. 31) Modelling radioactive decay the mathematics behind radioactivity decay, used extensively in science. 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. Weaving a Spider Web II: Catchingmosquitoes, Getting a 7 in Maths ExplorationCoursework. 14) Methods for solving differential equations Differential equations are amazingly powerful at modelling real life from population growth to to pendulum motion. 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. Correlation between height and average lifetime, Statistics.laerd. If we have one dataset of the variable X { xi,, } containing n values andxn Currently they have 19 million data points! << /Length 11 0 R /N 1 /Alternate /DeviceGray /Filter /FlateDecode >> Mean value :The mean value was calculated by taking the median number in each interval, When dealing with a normal distrubution it is possible to cal culate the mean and the standard 1) Is there a correlation between hours of sleep and exam grades? 27)Volume optimization of acuboid how to use calculus and graphical solutions to optimize the volume of a cuboid. Conduct this BBC reaction time test to find out. Topics focus on statistics and data analysis but also include other ideas! 7) Patterns in Pascals triangle: There are a large number of patterns to discover including the Fibonacci sequence. Playing around with multiplicative persistence can you break the world record? 46) Ramanujans Taxi Cab and the Sum of 2Cubes. Amongst holistic mindsets, there are numerous other factors admissions officers seek out when accepting students into their schools. 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. terms of service. 26) Fermats little theorem: If p is a prime number then a^p a is a multiple of p. 28) Recurrence expressions for phi (golden ratio): Phi appears with remarkable consistency in nature and appears to shape our understanding of beauty and symmetry. 7) Black Swan events how usefully can mathematics predict small probability high impact events? 1a) Non-Euclidean geometries: This allows us to break the rules of conventional geometry for example, angles in a triangle no longer add up to 180 degrees. Look at some of the maths (and psychology behind winning this game. Suitable forApplications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). Copyright 2023 Get the grade you deserve. 10) Does eating breakfast affect your grades? Below is the example . Now I will conduct the Pearson's correlation coefficient to see just how the two variables correlate. [online] Available at: To achieve the top marks for personal engagement, your engagement must be truly authentic and drive the exploration forward. 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. 8)Hollow Cubes and Hypercubesinvestigation. Topics focus on statistics and data analysis - but also include other ideas! 1) The prisoners dilemma: The use of game theory in psychology and economics. stream 16) Eulers identity: An equation that has been voted the most beautiful equation of all time, Eulers identity links together 5 of the most important numbers in mathematics. xi and yi are the single samples indexed with i, x= n is the formula that the mean values can be obtained, y= n is the formula that the mean values can be obtained. The internal assessment is an individual evaluation that focuses on subject-related work. Comments (-1) Chi-Squared Example Comments (-1) Chi-Squared Example 2. 31) Grahams Number a number so big that thinking about it could literally collapse your brain into a black hole. As with all assessments, you also need to include a solid conclusion that summarises the research and work youve done. 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. 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). Is there a correlation between GDP and life expectancy? Here are some examples solved using Python. = .. 1043. Straight lines are not straight, parallel lines meet and angles in a triangle dont add up to 180 degrees. The Shoelace Algorithm to find areas ofpolygons. 10 0 obj For example you can find out sports data on individual player pass completion rates in basketball. 13) The Watson Selection Task a puzzle which tests logical reasoning. stream If you are a teacher then please also visit my new site: intermathematics.com. more . A recent study suggests that higher alcohol consumption amongst teenagers leads to greater social stress and poorer grades. Correlation. What is the minimum number of colours needed for any map? This problem asks you to explore a sliding ladder. Maybe you could develop a simple application to showcase the paradox in the form of a game. 1) The harmonic series: Investigate the relationship between fractions and music, or investigate whether this series converges. Modeling is in itself an easy task but trying to make the information digestible and interesting is the hard part. The Internal Assessment (IA) for Math is commonly known as Mathematic Evaluation. another very powerful graphing application (also does 3D). 27) Could Trump win the next election? i tried to copy the name i tried to copy the name but it was too long but it was too long. an enormous source for public data, which is displayed graphically and can be searched. Follow in the footsteps of a genius! 35) Fermats Theorem on the sum of 2 squares An example of how to use mathematical proof to solve problems in number theory. The EE is worth much more than the IA, to the point where failing the EE immediately disqualifies a student from gaining the diploma! Theres a mixture of paid content and also free content. quantities are correlated is a reliable method. 10) Envelope of projectilemotion. The participants were chosen randomly as anybody could give his or her. How the normal distribution is used to predict elections. Pearson Product-Moment Correlation - When you should run. endobj It's wise to form your own opinions based on substantive evidence. q&}@{S$*!6g)pOK`/N"AbhIrW1Xllkz;)F F!vtPp7XQ>lTk<3D~)xGZ_L29=`0GP?w I compiled this data Into an excel spreadsheet and further calculated the BMI's for each player. This is an nice example of how you can investigation optimization of the area of different polygons. The IB Math IA Guide Will Cover - Math IA Rubric, Process' Key Pointer. The examiner will be looking at the quality of the idea and the body of work in relation to the assessment criteria. These ideas need to be conveyed in your writing. You should aim for at least 50 pieces of data to give yourself a good amount of data to look at. 4) Is there a correlation between the digit ratio and maths ability? 34) The Tusi circle how to create a circle rolling inside another circle using parametric equations. For example, Mod 3 means the remainder when dividing by 3. Easypolls. 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. Here is a sample of some Maths studies (IB diploma) course work on The correlation between BMI and tackles made in the NRL (National Rugby League) 1 Question asked - For dog owners : What is the weight of your dog in kg?, Sharing this through Social Media and groups of pet lovers I have joined, I managed to 40) Stellar Numbers This is an excellent example of a pattern sequence investigation.

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