Based on this, it is clear that the student needs to know the appropriate mathematical language and relevant key terms to engage in the topic. Be sure to account for your interest in the top, its relevance in your life, your prior knowledge about it, what you wish to achieve, and how you'll arrive at an answer. 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. Below is the example . Can you find the pattern behind it? Exemplars. Can we prove that 1 + 2 + 3 + 4 . 10) Mathematical card tricks investigate some maths magic. 3) Benfords Law using statistics to catch criminals by making use of a surprising distribution. A chance to buy lots of sweets! The second criterion looks largely at the mathematical language you have used, such as: Ensure that these three components are accurate and consistent throughout your IA. 12) The Riemann Sphere an exploration of some non-Euclidean geometry. 7) Patterns in Pascals triangle: There are a large number of patterns to discover including the Fibonacci sequence. Currently they have 19 million data points! 8 Calculus/analysis and functions. Are some calculations like 78 harder than others? Login. [], or you can call us here at: +44 20 4571 0455. 3) Are a sample of student weights normally distributed? illustrates the results. Listen to the sounds that different sine waves make. Look out for these during the Winter and Easter breaks before the final exam. 14) Is there a correlation between unemployment rates and crime? statistics.laerd/statistical-guides/pearson-correlation-coefficient-statistical-guide. How mathematical formations were used to fight wars. terms of service. 1) How can you optimise the area of a farmers field for a given length of fence? 2) Hexaflexagons: These are origami style shapes that through folding can reveal extra faces. The International Baccalaureate Diploma Program, or IBDP for short, is the most common alternative to an upper-level highschool education to an AP class. How does that compare with other languages? When do we have a square number which is also a triangular number? 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. It helps to understood the marking criteria before deciding on your topic to ensure you use premium content in your work that can help you score highly. 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. What is the minimum number of colours needed for any map? 20) Twin primes problem: The question as to whether there are patterns in the primes has fascinated mathematicians for centuries. Can we find a function that plots a square? 1678+ Video tutorials, 1226+ PDF IB Resources, 195+ Sample IAs, 148+ EEs, 8777+ Sample questions, 653+ quizzes, IB Math solutions - explore ib resources Maths Studies and Applications IA Exploration Topics. 36) Sierpinski triangle an infinitely repeating fractal pattern generated by code. 29) Classical Geometry Puzzle: Finding theRadius. 19) Natural logarithms of complex numbers. 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? Math AI - SL. G,m m0Z-d_u`aVO*']SFgC\xzzCDlr.2"} V#JTwDNty^~(Tbt.V90n _*}HD]fu-U\75bJ;L.k|>MUYgog3K For each approved study note you will get 25 Credit Points and 25 Activity Score which will increase your profile visibility. In the case of IB Math SL, most students will take concepts taught in class and find practical ways to use these concepts in real life. So, where do you even begin your IA? The height corresponded to the variable X and the average lifetime to the variable Y. 11 Math and computing. Using the SIR model to understand epidemics. it is discussed above. 5) Knights tour in chess: This chess puzzle asks how many moves a knight must make to visit all squares on a chess board. 44)Modelling Chaos how we can use grahical software to understand the behavior of sequences. 2) Torus solid of revolution: A torus is a donut shape which introduces some interesting topological ideas. ! Give us the email address you use to log in to Lanterna and well send you instructions for resetting your password. 49) Rational approximations to irrational numbers. 10) Envelope of projectilemotion. Example: From the following data, compute the coefficient of correlation between . The participants were chosen randomly as anybody could give his or her. Tackles Made 699 980 758 1284 857 700 722 806 870 BMI 28.532 26.874 32.716 30.041 31.264 29.454 29.832 30.196 30.458 948 698 938 676 675 735 726 800 792 779 803 29.799 29.115 30.313 28.532 30.095 28.883 28.408 26.304 27.131 30.556 31.440. 9) Does finger length predict mathematical ability? and therefore getting a value closer to mean is more possible. This is an nice example of how you can investigation optimization of the area of different polygons. 32)Circular Motion: Modelling a Ferriswheel. If so please share with me! My new site has been designed specifically for teachers of mathematics at international schools. Or did they lie about being sick so they can study more? Free online polls - Easypolls. Teenagers prove Pythagoras usingTrigonometry. We can analyse the data to find out. (2018). Team D organized the home-game attendance records and players' statistics into sortable format for analysis. = -1/12 ? How Does The IB Math IA Affect My Admissions Chances? Explore the maths behind code making and breaking. A pivotal point to consider is the level and clarity of the mathematics you use - the IB rewards a lot of marks for the use and communication of Mathematics, so keep this in mind when you start writing your Maths IA up! We hope this will give you the push you need to realise your potential and understand complex and unfamiliar mathematics. 6 out of your 20 marks are dictated by the quality of your mathematical usage. Here is a list of 20 exciting topics to help you get inspiration: 1. The IA is more simple than it sounds. 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. Students are encouraged to take a different take through this assignment, a different angle on the mathematical practice. Usually the biggest one of these is a research-based essay, often called an investigation at most schools, that will allow students to take concepts learned in their 6 classes, and write a university-level paper to showcase their extents to learn above the required amount. A UK study showed that primary school girls play much less sport than boys. These ideas need to be conveyed in your writing. 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). Are the IB maths test scores normally distributed? Conduct this BBC reaction time test to find out. 19) The Barnsley Fern: MathematicalArt how can we use iterative processes to create mathematical art? xU]hU>3;yCmK+u!aR&MM6Ut'3 } more . which you can search by country or by specific topic. Each class will require a different method of grading IAs. Mean value :The mean value was calculated by taking the median number in each interval, Why does the house always win? I will check my table of data to find out if there are any Upper (i) BMI=1.5 x 30.422= 45.633 (ii) Tackles Made= 1.5 x 866.75 Lower (i) BMI= 28.532 x 1.5 = 42.798 (ii) Tackles Made= 705.500 x 1.5 1300.125 1058.25 outliers. 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. Are a sample of student digit ratios normally distributed? 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. I got a predicted grade which is: 6/7, the final grade I also got 6/7 . When dealing with a normal distrubution it is possible to cal culate the mean and the standard When two sets of data are strongly linked together we say they have a High Correlation. 24)A geometric proof for the arithmetic and geometricmean. View Mark Scheme. Potential drawbacks are not being able to find the raw data that fits what you want to investigate or sometimes having too much data to wade through. How can we use computers to gain a deeper understanding of sequences? collecting all the data and plotting the probability of gett ing the different values, the normal You can also download Excel speadsheets of the associated data. Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). Youve likely spent weeks relaxing and thinking about anything other than school! 6) Wolfram Alpha is one of the most powerful maths and statistics tools available it has a staggering amount of information that you can use. In this case, it is about the investigation of and correlation between mathematical concepts. Is Bitcoin going to keep rising or crash? 22) Investigation into the distribution of word lengths in different languages. 2. In one box were four slips of paper, one for each year between 2005-2008, in another box were 31 slips with the. another very powerful graphing application (also does 3D). This IA idea brings the fun into Mathematics SL, and would be as fun to write a report on! Another example can be modeling the population of a country and determining the time left until the area is deemed overpopulated. 10) Is there a correlation between Premier League wages and league position? For example you can find out. 1) Traffic flow: How maths can model traffic on the roads. Bio Exam 2 - Professor Becklin 8) Finding prime numbers: The search for prime numbers and the twin prime conjecture are some of the most important problems in mathematics. 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. 8)Log Graphs to Plot PlanetaryPatterns. 2/3 could be written as 1/6 + 1/2. The content now includes over2500 pages of pdf content for the entire SL and HL Analysis syllabus and also the SL and HL Applications syllabus. 9) Is there a correlation between sacking a football manager and improved results? 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. Quantum Mechanics a statistical universe? 31) Grahams Number a number so big that thinking about it could literally collapse your brain into a black hole. 37) Generating e through probability andhypercubes. Try collecting data on how the game behaves based on numerous trials, conveniently collected through playing the game with friends! IB Teacher support with intermathematics.com: A new website for teachers at international schools. 34) Cesaro Summation: Does 1 1 + 1 1 = 1/2?. 5) Knigsberg bridge problem: The use of networks to solve problems. 15 Closing. My IA was about how efficient macaron boxes were, and I used my own data )by measuring the radii and height of 50 macarons I made). Example Applications SL IA Investigations: Some of these ideas taken from the excellent Oxford IB Maths Studies textbook. Pearson's correlation coefficient when applied to a data set i s commonly symbolized by the letter r as 3) Minimal surfaces and soap bubbles: Soap bubbles assume the minimum possible surface area to contain a given volume. With this information I will Body Mass Index (BMI) Chart for Adults 300 280 260 240 220 200 180 160 140 120 100 80 40 Obese 35 27 22 erweight EM12-a Norml 18.5-25 U erweig t BMI 18 127 0 117 g 1089 998 907 816 726 635 54.4 45.4 48" 410" 510" 5'2" 5'4" 516" 518" 5'10" 612" 6'4" 6'6" 6110" 70" 142cm147 152 157 163 168 173 178 183 188 193 198 203 208213cm www.verteu42.ctm Height (no shoes) LLC conduct Simple processes and further processes. 22) Modelling Zombies How do zombies spread? Revision Courses: These offer a helping hand when it matters the most to boost your grades! An interesting insight into the mathematical field of Number Theory. 24) Are you psychic? ! 19) Are the IB maths test scores normally distributed? Like almost all of your internal assessments, your Maths IA has to begin with a super clear introduction that sets the context and aim of the whole exploration. Note: Your 9 digit Mobile Number without +60. 18)Waging war with maths: Hollowsquares. 2)Solving maths problems usingcomputers computers are really useful in solving mathematical problems. The mean value, as well a s the standard deviation value are given 6) Handshake problem: With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? By following this tried and tested structure for your math IA, each student will be able to present their findings consistently and optimally. A great introduction to some of the ideas behind non-euclidean geometry. For the dates of the 200 games, I placed slips of paper into a three boxes. Look at the Bayesian logic behind the argument that we are living in a computer simulation. 23) Modelling music with sine waves how we can understand different notes by sine waves of different frequencies. This problem asks you to explore a sliding ladder. 12) Towers of Hanoi puzzle This famous puzzle requires logic and patience. Why? We also have similar ideas for Biology, Chemistry, Economics, History, Physics, TOK. Terms like plug in or put in should be replaced with mathematically sophisticated words like substitute.. 2)How to Design aParachute looking at the physics behind parachute design to ensure a safe landing! A nice starting point for students good at coding who want to put these skills to the test mathematically. Also look at how the Championship compares to the Premier League. (pdf). Also look at the finances behind Premier league teams. [online] Available at: Familiarise yourself with the steps below, and then dive into your chosen topic. Later on, the sum of the above calculations was derived and multiplied : The Pearsons correlations coefficients numerator therefore corresponds to the value of 04 . 4. 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