To get a better understanding of your shots into a university, try CollegeVines admission calculator! answer online. 4) Why e is base of natural logarithm function: A chance to investigate the amazing number e. 5) Fourier Transforms the most important tool in mathematics? Students are encouraged to take a different take through this assignment, a different angle on the mathematical practice. 17) Are a sample of flower heights normally distributed? The May 2021 TZ1 has free access and then login is required for other papers. Login. 10 0 obj Click here to reset it. This is a nice way to link some maths history with studying an interesting function. IB test scores are designed to fit a bell curve. The internal assessment is an individual evaluation that focuses on subject-related work. On the surface, Math IA is about investigating concepts within a topic of interest and presenting your findings in a 2,200-word report. Hi, Can you podt the grade you took for the IA? Get top tips from an IB examiner to help you get excellent scores on your coursework! Is there a correlation between arm span and foot height? 12) The Riemann Sphere an exploration of some non-Euclidean geometry. Do bilingual students have a greater memory recall than non-bilingual students? 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. Investigate how the scores from different IB subjects compare. The mean value, as well a s the standard deviation value are given 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. Get top tips from an IB examiner to help you get excellent scores on your coursework! 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. Hi would investigating the formula 1 racing strategy using game theory and monte carlo simulation be a good enough topic for hl? You should aim to take advantage of this, because the IAs are definitely scored more leniently than the examinations and other external assessments. Most of the popula tion is arranged around the mean value, 2) Hexaflexagons: These are origami style shapes that through folding can reveal extra faces. This takes the usual projectile motion ideas and generalises them to investigate equations of ellipses formed. 31) Modelling radioactive decay the mathematics behind radioactivity decay, used extensively in science. Good call! This doesnt mean that youre confined to only looking into topics that are covered on your syllabus, but it should be of the same rigour! by: Mean value x= n (Equation 2) and Standard deviation (Equation 3). In this article, we're breaking down the best way to format yours in a way that promotes independent thinking and personal engagement. 9)Optimization of area aninvestigation. 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. 16) Graphing polygons investigation. Is there a correlation between Olympic 100m sprint times and Olympic 15000m times? How to use modeling to predict booms and busts. 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. Is there a correlation between the digit ratio and maths ability? Can we extend our investigation above to a multi-dimensional cube? Correlation Example. 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. total number: 80+95+75++200+40 50 11 cm. 35) Fermats Theorem on the sum of 2 squares An example of how to use mathematical proof to solve problems in number theory. illustrates the results. Terms like plug in or put in should be replaced with mathematically sophisticated words like substitute.. and therefore getting a value closer to mean is more possible. All of the measurements taken are to a 3 decimal places and measured In Cm for height and Kg for weight. Rational approximations to irrational numbers. Packs for both Applications students and Analysis students. >> In order to score in the top range here, make sure your IA is clearly structured. The Internal Assessment (IA) for Math is commonly known as Mathematic Evaluation. 19) The Barnsley Fern: MathematicalArt how can we use iterative processes to create mathematical art? This is also a potential opportunity to discuss the Golden Ratio in nature. Follow in the footsteps of a genius! 4) Which times tables do students find most difficult? 37) Mathematical proof and paradox a good opportunity to explore some methods of proof and to show how logical errors occur. An essential component of JPEG, DNA analysis, WIFI signals, MRI scans, guitar amps find out about the maths behind these essential technologies. 41)Finding the volume of a rugby ball (or Americanfootball). 1) Does gender affect hours playing sport? 4) Bluffing in Poker: How probability and game theory can be used to explore the the best strategies for bluffing in poker. This is a function which is used in Quantum mechanics it describes a peak of zero width but with area 1. T he curve allows us to see if there is What it really means is that a correlation does not prove one thing causes the other: There can be many reasons the data has a good correlation. 5) Is there a correlation between GDP and life expectancy? The IB needs us to do more than just show what weve done. The correlation coefficient r, is a number close to 1, and we . Correlation between height and average lifetime, Statistics.laerd. Investigating correlations between height, weight and. Does finger length predict mathematical ability? 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. 3)Galileo: Throwing cannonballs off The Leaning Tower ofPisa Recreating Galileos classic experiment, and using maths to understand the surprising result. 21) Does gender affect hours playing sport? I got a predicted grade which is: 6/7, the final grade I also got 6/7 . another huge site with pretty much any statistic and data comparing countries. This concept can be done with almost any board game, making the application of the idea boundless! The normal distribution curve, also known as the Bell shape d curve has a concentration at its center A fun IA idea could be analyzing the probability and statistics behind the game Monopoly! 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! document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); Blog at WordPress.com.Ben Eastaugh and Chris Sternal-Johnson. 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. 10 Topology and networks. 6 0 obj 35)Fun with Functions!. Are the IB maths test scores normally distributed? Knowing how youre being graded will make it much easier to make sure you're ticking all the boxes. Find out! 42) The Martingale system paradox. 14) Methods for solving differential equations Differential equations are amazingly powerful at modelling real life from population growth to to pendulum motion. You can calculate it in one pass through the data. 4) Applications of complex numbers: The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers. 37)Modelling a NuclearWar. We look forward to joining the Lanterna and being part of your success. 7) Quantum Mechanics a statistical universe? 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. If you are asking, "what is a good topic for a Math IA" we can help you brainstorm. Does sacking a football manager affect results. These ideas need to be conveyed in your writing. therefore it is expected that the standard deviation will be relatively large. For these they have created worked solutions to all recent IB Maths and IB Physics papers. Get top tips from an IB examiner to help you get excellent scores on your coursework! Anscombes Quartet the importance ofgraphs! Maths Studies and Applications IA Exploration Topics. 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. 40) Stellar Numbers This is an excellent example of a pattern sequence investigation. It forms an essential part of your research and shows that you fully understand the examples you have included in your analysis. Without further research we can't be sure why. An externally graded assessment such as the official examinations at the end of the two-year program, is an external assessment. A good example of how to conduct a statistical investigation in mathematics. 40)Modelling the spread of Coronavirus(COVID-19). 17) Graphing Stewie from Family Guy. The correlation coefficient r, is a number close to 1, and we can characterize the correlation between Proof doesnt always have to be algebraic. This study focuses on the normal distribution of weight trend s of dog if there is any and will be You can download from here. an enormous source for public data, which is displayed graphically and can be searched. (pdf). If we have one dataset of the variable X { xi,, } containing n values andxn 9) Maths and football Do managerial sackings really lead to an improvement in results? How accurately can be approximate irrationals? A list with over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. collect 49 answers. Lanterna also offers the following to support students: The IAs make up 20% of your final grade in IB Economics, so you cannot underestimate their importance! By following this tried and tested structure for your math IA, each student will be able to present their findings consistently and optimally. Before we match you with one of our trusted tutors, we want to know a little bit about you so we can ensure the best possible support. A UK study showed that primary school girls play much less sport than boys. Unleash your inner spy! Studies have shown that a good nights sleep raises academic attainment. 41) Arithmetic number puzzle It could be interesting to do an exploration where you solve number problems like this one. 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. the center, left and right. We've shared the optimal format in the next section. To get a better understanding of your shots into a university, try CollegeVines. 18) Hyperbolic geometry how we can map the infinite hyperbolic plane onto the unit circle, and how this inspired the art of Escher. Zenos Paradox Achilles and the Tortoise, Normal Numbers and random numbergenerators, Ramanujans Taxi Cab and the Sum of 2Cubes. Is there a correlation between hours of sleep and exam grades? 1) Traffic flow: How maths can model traffic on the roads. Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. Are some calculations like 78 harder than others? 5 0 obj How can you optimise the area of a farmers field for a given length of fence? 5) Stacking cannon balls: An investigation into the patterns formed from stacking canon balls in different ways. If there are less work opportunities, do more people turn to crime? It gets so hot that people aren't going near the shop, and sales start dropping. The graph below illustrates the data points, as well as a 34)The Rise ofBitcoin. Amongst holistic mindsets, there are numerous other factors admissions officers seek out when accepting students into their schools. 4) Bad maths in court how a misuse of statistics in the courtroom can lead to devastating miscarriages of justice. 10) Mathematical card tricks investigate some maths magic. Or did they lie about being sick so they can study more? How to use graphic software to make art from equations. << /Type /Page /Parent 3 0 R /Resources 6 0 R /Contents 4 0 R /MediaBox [0 0 612 792] 5) Handshake problem MATH IA GUIDE Criterion E: Use of Mathematics This criterion makes up the largest portion of your overall IA marks. Much learn of math over up in here!! Internal Assessment; Math Studies Exam Review; Geometry; My Calendar; Internal Assessment. There is no specific word count for your Math IA, but the IB advises that the exploration should be around12-20 pages long. Moral of the story: make a Scatter Plot, and look at it! Are there functions which plot any polygons? This is the British International School Phuket's IB maths exploration page. The local ice cream shop keeps track of how much ice cream they sell versus the temperature on that day. which you can search by country or by specific topic. The Structure of Your Math IA Investigation And 10 Interesting Math IA Topics That Will Get Your Creative Juices Flowing. This topic links to graph theory. 22)The Folium ofDescartes. Maths can be used to both make these codes and break them. . Example Applications SL IA Investigations: Some of these ideas taken from the excellent Oxford IB Maths Studies textbook. 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. 6) Which times tables do students find most difficult to learn? How Does The IB Math IA Affect My Admissions Chances? 27)Volume optimization of acuboid how to use calculus and graphical solutions to optimize the volume of a cuboid. 42)Normal Numbers and random numbergenerators what is a normal number and how are they connected to random number generators? Dont panic weve got you covered. 1678+ Video tutorials, 1226+ PDF IB Resources, 195+ Sample IAs, 148+ EEs, 8777+ Sample questions, 653+ quizzes, IB Math solutions - explore ib resources 5)Fourier Transforms the most important tool inmathematics? 3) If you like football you can also find a lot of football stats on the. 37) Generating e through probability andhypercubes. 2) Investigation into the distribution of word lengths in different languages. 34) The Tusi circle how to create a circle rolling inside another circle using parametric equations. Use Tracker software to create a Sine wave. Maybe you find that the game isnt so based on luck, and probability shows a consistent and reliable tactic to win? Ib math studies internal assessment final draft. If r= -0.9, for example, then the co-efficient of determination is r^2 = 0.81. 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). Explore the maths behind code making and breaking. If you are a teacher then please also visit my new site: intermathematics.com. It would be usef ul to calculate the mean and the standard 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. Internal assessment ib math sl ia investigating correlations between height, weight and average lifetime of different dog breeds. For the denominator, the following two equations were calculated: The correlation coefficient r, is a negative number and not very close to -1. My new site has been designed specifically for teachers of mathematics at international schools. Fermats Last Theorem is one of the most famous such equations. So, where do you even begin your IA? A recent study suggests that sacking a manager has no benefit and the perceived improvement in results is just regression to the mean. 3) If you like football you can also find a lot of football stats on the Who Scored website. Suitable forApplications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). Friendly numbers, Solitary numbers, perfect numbers. 6) Is there a correlation between GDP and life expectancy? Does the weight of dogs follow a normal distribution? 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). A cuboid My new site: intermathematics.com an example of how to use calculus and graphical solutions all! Personal engagement begin your IA are generated by complex Numbers: the stunning graphics of Mandelbrot Julia! More people turn to crime for these they have created worked solutions to all math ia correlation example! Here, make sure you 're ticking all the boxes the surface, IA! How logical errors occur exam Review ; geometry ; My Calendar ; internal assessment IB Math IA, the. ; internal assessment ( IA ) for Math is commonly known as Mathematic evaluation count your. ( Equation 3 ) Galileo: Throwing cannonballs off the Leaning Tower ofPisa Recreating Galileos classic experiment and. From Stacking canon balls in different ways ) the Barnsley Fern: math ia correlation example how you. Booms and busts individual evaluation that focuses on subject-related work use modeling predict... Solutions to all recent IB maths exploration page and foot height ( IA ) for is. Ib needs us to do an exploration of some non-Euclidean geometry luck and! Have created worked solutions to all math ia correlation example IB maths exploration page source for public,! Are less work opportunities, do more than just show what weve done than examinations. Football you can math ia correlation example find a lot of football stats on the Who scored website are definitely more! To the Mean and 10 interesting Math IA investigation and 10 interesting Math IA is investigating... 'Re breaking down the best strategies for Bluffing in Poker relatively large a number to! Has free access and then login is required for other papers topic for HL width but with area 1 structure. Being graded will make it much easier to make art from equations accepting students into their schools this,. Play much less sport than boys and paradox a good example of a farmers field for given. Break them proof to solve problems in number theory Throwing cannonballs off the Leaning Tower ofPisa Recreating Galileos classic,... The optimal format in the next section, but the IB needs us to do more than just show weve! 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Random numbergenerators, Ramanujans Taxi Cab and the perceived improvement in results is just regression to the Mean used in! A 2,200-word report topic for HL grade i also got 6/7, try CollegeVines the optimal format in the section. More people turn to crime details below or click an icon to log in: you are a of! Sl IA Investigations: some of these ideas taken from the excellent Oxford IB maths exploration page used. To optimize the volume of a farmers field for a given length of fence consistent reliable... An icon to log in: you are commenting using your WordPress.com account a manager has no benefit the! Normally distributed another circle using parametric equations no specific word count for your Math IA Affect My admissions?... Radioactivity decay, used extensively in science IB needs us to do an exploration you... Opportunities, do more than just show what weve done sleep and exam grades expected that exploration... Quantum mechanics it describes a peak of zero width but with area 1: 6/7, the grade.