Hi everyone, I need a math IA topic pretty soon and I've been struggling to find something that I both like and can find an appropriate application of math to. 3) Benford’s Law – using statistics to catch criminals by making use of a surprising distribution. Pay us to Get an Excellent and Original IA! IB MATH INTERNAL ASSESSMENT B Y I B S U P E R T O P S I X M I S T A K E S M A D E I N 2. You can also model everything from Angry Birds to stunt bike jumping. 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. ( Log Out /  Can we find a function that plots a square? 1. I want to go into architecture so I was thinking something about that, but the issue is, most of it is just geometry which I think is too simple for SL Math. The challenge is to see how many different shapes can be made with a given number of squares – and how can they fit together? = -1/12 ? Math IA HL connected with economics IB to A-level conversions !! Algebra and number 1) Modular arithmetic - This technique is used throughout Number Theory. Fermat’s Last Theorem is one of the most famous such equations. Functions. The following are examples of HL/SL IAs based on the current mark scheme with grader comments. Adding on, I am doing a summer course in Finance at HKUST which will improve my understanding of this topic even more. Please like, comment and subscribe for more videos! Essential knowledge for future astronauts. To make matters worse, on top of just doing the dreaded maths exam, we’re also expected to write a Maths IA exploration into a topic of our choice! 3) Chinese postman problem – This is a problem from graph theory – how can a postman deliver letters to every house on his streets in the shortest time possible? Arthur was literally the ONLY person in his HL Math Class that got a 7 on his Math IA. Here are some examples solved using Python. Rep:? If you know how you’re being graded it’ll become so much easier to create an essay that checks off all the things you need to! Fourier transforms have an essential part to play in modern life – and are one of the keys to understanding the world around us. For example, Mod 3 means the remainder when dividing by 3. Quiz 3. 10) Mathematical card tricks – investigate some maths magic. Bivariate Statistics. Maths Exploration Topics: 100+ ideas for investigations. 3) Galileo: Throwing cannonballs off The Leaning Tower of Pisa – Recreating Galileo’s classic experiment, and using maths to understand the surprising result. A quick description of the IB Math IA/Exploration. Change ), You are commenting using your Google account. 14) Bayes’ theorem: How understanding probability is essential to our legal system. www.onlineibmathematicstutors.com and www.onlineibmathematicstutors.com are highly specialized IB Maths websites where you find hundreds of trained IB Mathematics tutors. The basic model is based on the SIR model – this is represented by the picture above (from Plus Maths which has an excellent and more detailed introduction to this topic). 26) Plotting the Mandelbrot Set – using Geogebra to graphically generate the Mandelbrot Set. I'm completely lost and can't think of any ideas. This video explores the Poisson Distribution, a key concept in IB Maths HL Topic 5: Statistics and Probability. 10) Codes and ciphers: ISBN codes and credit card codes are just some examples of how codes are essential to modern life. This is a lovely construction using just compasses and a ruler. In order to get good grades your IA has to reflect your work. Quiz 1. 39) Zeno’s Paradox – Achilles and the Tortoise – A look at the classic paradox from ancient Greece – the philosopher “proved” a runner could never catch a tortoise – no matter how fast he ran. MATHS IA GUIDE Yoga. Change ), You are commenting using your Twitter account. 15) Julia Sets and Mandelbrot Sets – We can use complex numbers to create beautiful patterns of infinitely repeating fractals. The SIR model looks at how much of the population is susceptible to infection, how many of these go on to become infectious, and how many of these go on to recover (and in what timeframe). Also look at the finances behind Premier league teams. I would really recommend these resources for all IB students – it takes a lot of skill to successfully condense a syllabus into the essential content – and these notes really are of the highest quality. -An SJI International Math teacher By Trevor Lee Math Exploration tips Read the criteria extremely carefully and clarify the meaning of things with your teacher. Analysis & Approaches SL. Still feeling confused? 42) Normal Numbers – and random number generators – what is a normal number – and how are they connected to random number generators? Are there functions which plot any polygons? Feeling cool about maths but nervous about TOK? 25) Palindrome numbers: Palindrome numbers are the same backwards as forwards. Check out this article! Archived. 20) Modelling infectious diseases – how we can use mathematics to predict how diseases like measles will spread through a population. 3) Minimal surfaces and soap bubbles: Soap bubbles assume the minimum possible surface area to contain a given volume. Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. This is a fantastic 70 page booklet explaining different modelling methods from Moody’s Mega Maths Challenge. This investigates a generalized version of projectile motion – discover what shape is created. Even though many of these topics led to high scores for some of our graduates in the past, it is important that you listen to the advice of your subject teacher before choosing any topic! 68 Mathematics HL guide Internal assessment Internal assessment criteria The exploration is internally assessed by the teacher and externally moderated by the IB using assessment criteria that relate to the objectives for mathematics HL. an expository paper on mods, especially since NT is such a neglected topic in schools. use of math in building design Link. Exponential and trigonometric regression. ... (IA) ideas. On the other hand, I’d quite enjoy reading (or writing?) IB Guide to the IA . Pre-Diploma Quizzes Show sub menu. Rubric for Initial IA Tasks . Useful websites for use in the exploration, A selection of detailed exploration ideas. World of Math. IB Revision Notes for Analysis and Applications. 10) Pythagorean triples: A great introduction into number theory – investigating the solutions of Pythagoras’ Theorem which are integers (eg. Go to first unread Skip to page: This discussion is closed. Explore this famous number theory puzzle. Close. The twin prime conjecture states that there are infinitely many consecutive primes ( eg. This is an nice example of how you can investigation optimization of the area of different polygons. 8) Hollow Cubes and Hypercubes investigation. Find your group chat here >> start new discussion closed. 31) Modelling radioactive decay  – the mathematics behind radioactivity decay, used extensively in science. 36) Predicting the UK election using linear regression. Applications of differentiation; Binomial Theorem; Bivariate Statistics; Circular measure; Complex Numbers; Continuous random variables; Definite Integrals; Differential Equations; 6) Continued fractions: These are fractions which continue to infinity. Can all fractions with a numerator of 2 be written as 2 Egyptian fractions? My favourite revision site is Revision Village – which has a huge amount of great resources – questions graded by level, full video solutions, practice tests, and even exam predictions. If no, any other non-physics ideas? 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. Can we prove that 1 + 2 + 3 + 4 …. 27) Volume optimization of a cuboid  – how to use calculus and graphical solutions to optimize the volume of a cuboid. This is a nice way to link some maths history with studying an interesting function. 25) Euler’s 9 Point Circle. – An essential component of JPEG, DNA analysis, WIFI signals, MRI scans, guitar amps – find out about the maths behind these essential technologies. Qualified Writers in: Math, Biology, Physics, ESS, History, Economics, Chemistry, Geography, Music, Computer Science or even Design and Technology! 6) Square Triangular Numbers. Can you find the pattern behind it? Maths Exploration (IA) ideas. How strange things happen when we start to manipulate divergent series. 10) Is there a correlation between Premier League wages and league position? 3 3. Quadratic regression and cubic regression. The Practice Exams section takes you to ready made exams on each topic – again with worked solutions. 1) Modular arithmetic – This technique is used throughout Number Theory. Really useful! It needs to … : Step 2 – Personal matching. What would happen to the climate in the event of a nuclear war? 5) Diophantine equations: These are polynomials which have integer solutions. 31) The Shoelace Algorithm to find areas of polygons. 4) Bad maths in court – how a misuse of statistics in the courtroom can lead to devastating miscarriages of justice. Can we use a mixture of pure maths and computing to solve this problem? This video is accompanied by commonly found IB Maths HL exam style questions to further practice your knowledge. 36) Can we prove that 1 + 2 + 3 + 4 …. 17) Does sacking a football manager affect results? Sections. 1 International Baccalaureate Math HL IA Exploration Application of Probability in Economics: The Game Theory Student B See if you can identify how these tips are shown in the example, and more importantly to your IA! 40) Modelling the spread of Coronavirus (COVID-19). This topics provides a fascinating introduction to both combinatorial Game Theory and Group Theory. Quiz 5. Binomial Theorem. What is the geometric shape of soap bubbles? Maclaurin Series. Check out our online private tuition service or keep reading our Math-related blogposts…. 6) Bullet projectile motion experiment – using Tracker software to model the motion of a bullet. 20) Twin primes problem: The question as to whether there are patterns in the primes has fascinated mathematicians for centuries. Mathematics is a special subject; intelligence and hard hard work will not be enough to score a 7. Circular measure. Advice on using Geogebra, Desmos and Tracker. Goldbach?). The only real thing that I came up with is something to do with statistics and Pokemon, but those don't seem to work well because all the probabilities are already preprogrammed in the game. Complex Numbers. Announcements Help shape TSR for a chance to win a £100 voucher >> Applying to uni? NOTE: These topics are purely meant as inspiration and are not to be chosen blindly. Within each topic listed below, we include the basic reasons for investigating each topic, what the possible independent variables and dependent variables are as well as the basic experimental setup! ibalasia. Includes: Thanks for the list, was very useful for me (currently choosing a topic for the math exploration). Some of the Stats topics seem quite bizarre and wholly unmathematical in nature. IBDP Math HL Show sub menu. 18) Fermat’s last theorem: A problem that puzzled mathematicians for centuries – and one that has only recently been solved. All fully updated for the new syllabus. Here is a geometric proof. Using the SIR model to understand epidemics. 3) Gambler’s fallacy: A good chance to investigate misconceptions in probability and probabilities in gambling. 20) The Coastline Paradox – how we can measure the lengths of coastlines, and uses the idea of fractals to arrive at fractional dimensions. 4) Bluffing in Poker: How probability and game theory can be used to explore the the best strategies for bluffing in poker. Investigate the surprising correlation between finger ratios and all sorts of abilities and traits. Circular measure. 37) Mathematical proof and paradox – a good opportunity to explore some methods of proof and to show how logical errors occur. I’ve teamed up with Mr Mac to provide full class revision notes fully updated for the new syllabus. Need help with your math IA? Find out! It is very important and should not be underestimated. love this! Geometry of the Sagrada Familia. What should I do with that topic? The Math IA accounts for 20% of your final grade. 28) Ford Circles– how to generate Ford circles and their links with fractions. 6) Handshake problem: With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? 34) The Rise of Bitcoin. Work by Antoni Gaudi. If you are doing a Maths Studies IA (exam 2019) or an SL Applications IA (exam 2020) then you may be best going to this page instead. 16) Graphing polygons investigation. 5) Fourier Transforms – the most important tool in mathematics? IBDP Math HL Show sub menu. extremely helpful as my teacher is super vague! 4) Tesseract – a 4D cube: How we can use maths to imagine higher dimensions. List of potential topics: File Size: 184 kb: File Type: pdf: Download File. All rights reserved. 11) Flatland by Edwin Abbott – This famous book helps understand how to imagine extra dimension. Based on my experience, a topic solely focusing on a single geometric problem will not earn good scores. We are the expert and world renowned ib assignment specialists for all the subjects such as math hl ia, math sl ia, mathematics studies ia, math extended essay, physics ia … Find out how! 1. 5) The mathematics of cons – how con artists use pyramid schemes to get rich quick. Applications of differentiation. Why e is base of natural logarithm function: Fourier Transforms – the most important tool in mathematics? 2) How to Design a Parachute – looking at the physics behind parachute design to ensure a safe landing! 4) Applications of complex numbers: The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers. IB Exploration Modelling and Statistics Guide. Investigate what makes a number happy or sad, or sociable! A post which looks at the maths behind this particularly troublesome series. New III:  Full class revision notes for SL and HL Analysis and SL Applications. Most of these are excellent and I love the majority (CRT is the Way, the Truth, and the Light!) 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