IB Exploration Modelling and Statistics Guide. 21) Projective geometry –  the development of geometric proofs based on points at infinity. 38) Modelling a football season. Architecture Link Title. 4) Genetics – Look at the mathematics behind genetic inheritance and natural selection. 20) Twin primes problem: The question as to whether there are patterns in the primes has fascinated mathematicians for centuries. 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. Seventeen full investigation questions – each one designed to last around 1 hour, and totaling around 40 pages and 600 marks worth of content. I think the easier ones are more suitable; I find it hard to imagine a good paper on GRH or Goldbach without a background in complex analysis or analytic number theory, respectively: these topics are just too hard for high schoolers (and too hard for everyone else probably also). Can we use a mixture of pure maths and computing to solve this problem? 33) Spotting Asset Bubbles. 16) Are we living in a computer simulation? A quick description of the IB Math IA/Exploration. 3) Stacking cannonballs – solving maths with code – how to stack cannonballs in different configurations. Math can be extremely interesting so take this assignment in your stride and don’t get intimidated by it. 13) Graphically understanding complex roots – have you ever wondered what the complex root of a quadratic actually means graphically? This is a function which is used in Quantum mechanics – it describes a peak of zero width but with area 1. Candidate’s declaration: I confirm that this work is my own work and is the final version. What’s the difference between IB Literature vs. IB Language & Literature. Most students write an IA that begins with data. List of potential topics: File Size: 184 kb: File Type: pdf: Download File. 3. 10) Tangrams: Investigate how many different ways different size shapes can be fitted together. What is your best way of surviving the zombie apocalypse? 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! How strange things happen when we start to manipulate divergent series. ibalasia. 44) Modelling Chaos – how we can use grahical software to understand the behavior of sequences. Check out our math videos! This is an nice example of how you can investigation optimization of the area of different polygons. Complex Numbers. 9) Designing bridges – Mathematics is essential for engineers such as bridge builders – investigate how to design structures that carry weight without collapse. Binomial Theorem. 29) The Riemann Hypothesis – one of the greatest unsolved problems in mathematics – worth $1million to anyone who solves it (not for the faint hearted!). 2) *ROGEDFK¶VFRQMHFWXUH "Every even number greater than 2 can be expressed as the sum of two primes." Applications of differentiation. Which times tables do students find most difficult? The example here scored 17/20. IB math HL IA/ Exploration ideas Watch. Is Bitcoin going to keep rising or crash? Analysis & Approaches SL. 7) Möbius strip: An amazing shape which is a loop with only 1 side and 1 edge. Here is a list of over 200 ideas with links to further reading for your maths exploration! The final mark for each exploration is the sum IBDP SL Mathematics Internal Assessment . And I don't know if this will help, but my teacher says he'd be interested in an optimization or related rates IA. Hey everyone. Some nice examples of using polar coordinates to create interesting designs. New II: Paper 3 Practice Questions for HL. 1) Modular arithmetic – This technique is used throughout Number Theory. It has examples and tips for HL Mathematics. Are there any good topics for my HL math ia, which I can base on economics. Differential Equations. 32) Soap Bubbles, Wormholes and Catenoids. Some classic physics – which generates some nice mathematical graphs. 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. I completed the IB Math HL IA in 2014. Each exploration is assessed against the following five criteria. The two routes are “Analysis & Approaches (AA)” and “Applications & Interpretations (AI)”. 30) Can you solve Oxford University’s Interview Question?. Investigate how binary is used – link to codes and computing. Bivariate Statistics. proposals. What does it show regarding rational and irrational numbers? However, there are definitely ways to improve on it. 6) Mandelbrot set and fractal shapes: Explore the world of infinitely generated pictures and fractional dimensions. Investigate the surprising correlation between finger ratios and all sorts of abilities and traits. 12) Magic squares and cubes: Investigate magic tricks that use mathematics. A 60 page pdf guide full of advice to help with modelling and statistics explorations – focusing in on non-calculator methods in order to show good understanding. What topic I should choose? ie 6 is a perfect number because 1 + 2 + 3 = 6. https://ibmathsresources.com/2013/09/03/maths-ia-exploration-topics Discrete random variables. Math IA Ideas (Geometry (Using trigonometry to identify the structural…: Math IA Ideas (Geometry, Other, Functions, Statistics, Other ) 3) Benford’s Law – using statistics to catch criminals by making use of a surprising distribution. You can download these notes on my site here. • Do not describe step by step how to plot the graph using your graphing software. About Author. By the end of it, you will be surprised to know how you would have broadened your horizons in this subject area. The great Indian mathematician Ramanujan discovered some amazing examples of these. 32) Circular Motion: Modelling a Ferris wheel. Using the physics of travel near the speed of light to see how we could travel to other stars. 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. Most of these are excellent and I love the majority (CRT is the Way, the Truth, and the Light!) Maths IA. 17) Medical data mining – Explore the use and misuse of statistics in medicine and science. The Past IB Exams section takes you to full video worked solutions to every question on every past paper – and you can also get a prediction exam for the upcoming year. 24) Are you psychic? 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. It’s quite funny how (almost) everyone doing the IB would have the thought process of the following when finding a topic for their Math IA: 1. Rubric for Initial IA Tasks . Qualified Writers in: Math, Biology, Physics, ESS, History, Economics, Chemistry, Geography, Music, Computer Science or even Design and Technology! 31) Graham’s Number – a number so big that thinking about it could literally collapse your brain into a black hole. 1. A person working in the field of AI who doesn’t know math is like a politician who doesn’t know how to persuade. 20) The Coastline Paradox – how we can measure the lengths of coastlines, and uses the idea of fractals to arrive at fractional dimensions. Quiz 5. Can we find a function that plots a square? Feeling cool about maths but nervous about TOK? Look at some of the maths (and psychology behind winning this game. Pick a question/issue that can be answered in 12 pages; it cannot simply be a… Can you find the pattern behind it? 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! ( Log Out /  25) Euler’s 9 Point Circle. 35) Fun with Functions!. 22) Modelling Zombies – How do zombies spread? IB Maths is a struggle for most people going through their diploma. I may be a bit slanted because of my affinity for calculus, but I strongly recommend that you consider examining the various applications of power series. Functions. Circular measure. Yoga. 10) Envelope of projectile motion. 1) The Monkey and the Hunter – How to Shoot a Monkey – Using Newtonian mathematics to  decide where to aim when shooting a monkey in a tree. It needs to … More often than not, mathematical modelling is a good start. Limits. 8) Change in a person’s BMI over time – There are lots of examples of BMI stats investigations online – see if you can think of an interesting twist. 11) Flatland by Edwin Abbott – This famous book helps understand how to imagine extra dimension. 33) The Chinese Remainder Theorem: This is a method developed by a Chinese mathematician Sun Zi over 1500 years ago to solve a numerical puzzle. Poisson Distribution questions are frequently found in IB Maths HL exam papers, often in Paper 2. Introduction to Integration. IB Maths Resources from British International School Phuket, I’ve teamed up with Mr Mac to provide full class revision notes fully updated for the new syllabus. 5) Stacking cannon balls: An investigation into the patterns formed from stacking canon balls in different ways. Where do you even begin such a task? This Math Class included two current UC Berkeley Students, an Oxford pupil, and a UPenn undergrad. 26) Fermat’s 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. 16) Euler’s identity: An equation that has been voted the most beautiful equation of all time, Euler’s identity links together 5 of the most important numbers in mathematics. This is what our IB IA writing service is for – to ease your life and give you the IB internal assessment and help you are looking for. World of Math. Quadratic regression and cubic regression. For example, Mod 3 means the remainder when dividing by 3. 1. 18) Hyperbolic geometry – how we can map the infinite hyperbolic plane onto the unit circle, and how this inspired the art of Escher. 3,4,5 triangle). In order to get good grades your IA has to reflect your work. Quiz 2. 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. In this post, we give you 50 IB Biology IA Ideas to help you speed up your research process. 40) Modelling the spread of Coronavirus (COVID-19). Find your group chat here >> start new discussion closed. Is it recommendable at all? Thank you! 41) Finding the volume of a rugby ball (or American football). IB Mathematics Tutors. Discrete random variables . ib math applications ia examples, IB Edition: Maths SL IA Ideas! Investigate how to solve them. We can use a Poisson model and some Excel expertise to predict the outcome of sports matches – a technique used by gambling firms. 42) Normal Numbers – and random number generators – what is a normal number – and how are they connected to random number generators? 1 International Baccalaureate Math HL IA Exploration Application of Probability in Economics: The Game Theory Student B Mathematics is a special subject; intelligence and hard hard work will not be enough to score a 7. 37) Modelling a Nuclear War. 3) Gambler’s fallacy: A good chance to investigate misconceptions in probability and probabilities in gambling. If you are watching this video now, you seem serious about boosting your IB grade. 3. I have acknowledged each use of words, graphics, or ideas of another person, whether written, oral, or visual. It involves understanding the modulo operation. Includes: Full revision notes for SL Analysis (60 pages), HL Analysis (112 pages) and SL Applications (53 pages). 1) The prisoner’s dilemma: The use of game theory in psychology and economics. https://www.lanternaeducation.com/ib-blog/50-ib-maths-ia-topic-ideas Applications of differentiation. His Math IA grade was the reason he got accepted into his top-choice university. It seems like either I can't think of anything at all, or the math is way too simple or way too complex. www.onlineibmathematicstutors.com and www.onlineibmathematicstutors.com are highly specialized IB Maths websites where you find hundreds of trained IB Mathematics tutors. Maths of Global Warming – Modeling Climate Change, Circular Motion: Modelling a Ferris wheel, Predicting the UK election using linear regression, Modelling the spread of Coronavirus (COVID-19), Finding the volume of a rugby ball (or American football). Data can be gathered through: secondary research, primary research (ex: surveying), using a tool or program to generate the data, or experimentation No matter how you gather data, there is a recommended structure that is to be followed in an IA, much of which connects to your data. 11) Mersenne primes: These are primes that can be written as 2^n -1. 11) The Monty Hall problem – this video will show why statistics often lead you to unintuitive results. For the IA, I encourage you to start as soon as possible – the more time you spend on it, the more you think about the maths you’re putting into it and hence, there will be a lower chance of you making mistakes that will cost you marks. IB Mathematic HL International Baccalaureate Program 2070 October 31, 2016 . List of potential topics. 7) Quantum Mechanics – a statistical universe? Look at the Bayesian logic behind the argument that we are living in a computer simulation. Definite Integrals . 2) Solving maths problems using computers – computers are really useful in solving mathematical problems. Breaking the Code Euler’s Totient Theorem Minesweeper… Ideas for Math HL IA? Blog at WordPress.com.Ben Eastaugh and Chris Sternal-Johnson. Full length rough draft submitted prior to winter break for review. Maths is closely connected with astronomy – see how we can work out the distance to the stars. What happens if you can't do an exam cause ur sick? Can we use a mixture of pure maths and computing to solve this problem? I want to spend the last 3 weeks of the summer applying everything I learnt about the mathematics in stock trading and come up with my IA. 2) How to Design a Parachute – looking at the physics behind parachute design to ensure a safe landing! 28) Ford Circles– how to generate Ford circles and their links with fractions. Che20 IB Chemistry IA Ideas . Use the binomial distribution to test your ESP abilities. 19) Introduction to Modelling. Can you find the loop of infinite sadness? New III:  Full class revision notes for SL and HL Analysis and SL Applications. Maths Exploration Topics: 100+ ideas for investigations. 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. As with all IA’s, the best thing you can do before starting your IA is to become familiar with the criteria. Please like, comment and subscribe for more videos! Arthur was literally the ONLY person in his HL Math Class that got a 7 on his Math IA. Binomial Theorem. extremely helpful as my teacher is super vague! 17) Does sacking a football manager affect results? IB Mathematics Extended Essay Titles Your extended essay will be marked out of 36. 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? This topics provides a fascinating introduction to both combinatorial Game Theory and Group Theory. More. This is a fantastic 70 page booklet explaining different modelling methods from Moody’s Mega Maths Challenge. 4) Bad maths in court – how a misuse of statistics in the courtroom can lead to devastating miscarriages of justice. MYP 5. It shouldn't look like copy - paste from an article or Wikipedia. 31) Modelling radioactive decay  – the mathematics behind radioactivity decay, used extensively in science. 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. This video is accompanied by a commonly found IB Maths HL exam style question to further practice your knowledge. This video explores Integration by Parts, a key concept in IB Maths HL Topic 6: Calculus. 23) Perfect Numbers: Perfect numbers are the sum of their factors (apart from the last factor). This is a video of me reading through my Maths SL IA which got 20/20. What should I do with that topic? In this post, we give you 50 IB Biology IA Ideas to help you speed up your research process. I’ve put together this 63 page guide is which talks you through the essentials about the investigation, the new marking criteria, how to choose a topic, hand-picked examples of 70 excellent topics, useful websites, common student mistakes, advice on using software effectively and more. Circular measure. Quiz 3. 2. = -1/12 ? You can also model everything from Angry Birds to stunt bike jumping. Also look at how the Championship compares to the Premier League. Choose your own pattern investigation for the exploration. 5) Königsberg bridge problem: The use of networks to solve problems. Fully updated for the new syllabus. ( Log Out /  The challenge is to see how many different shapes can be made with a given number of squares – and how can they fit together? Remember! 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. marked by the teacher) called a mathematical exploration (or just the “Exploration”). 2/3 could be written as 1/6 + 1/2. https://ibmathsresources.com/maths-ia-maths-exploration-topics Adding on, I am doing a summer course in Finance at HKUST which will improve my understanding of this topic even more. 18) Fermat’s last theorem: A problem that puzzled mathematicians for centuries – and one that has only recently been solved. IB Tutoring and HSC Tutoring for IB Physics, IB math, HSC Physics and HSC Math 7) Patterns in Pascal’s triangle: There are a large number of patterns to discover – including the Fibonacci sequence. 17) Chinese remainder theorem. IB Edition: Maths SL IA Ideas! Make sure you are fully prepared for Paper 3! 11) Understanding the fourth dimension: How we can use mathematics to imagine (and test for) extra dimensions. A must for all Analysis and Applications students! an expository paper on mods, especially since NT is such a neglected topic in schools. IntBac Badges: 3. I won’t spend any more time on importance of learning mathematics for … 16) Hyperbolic functions – These are linked to the normal trigonometric functions but with notable differences. You can, The IB Analysis and Approaches SL notes are a 60 page pd, the HL notes are a 112 page pdf and the SL Applications notes are 53 pages. ... You may like to read the article I have written on Quickest Way to Narrow Down a Topic for IB Math IA. You can download these notes on my site. 15) Julia Sets and Mandelbrot Sets – We can use complex numbers to create beautiful patterns of infinitely repeating fractals. All fully updated for the new syllabus. An interesting insight into the mathematical field of Number Theory. Quiz 3. Here is a geometric proof. Cesaro Summation: Does 1 – 1 + 1 – 1 … = 1/2? 40) Stellar Numbers – This is an excellent example of a pattern  sequence investigation. 41) Arithmetic number puzzle – It could be interesting to do an exploration where you solve number problems – like this one. I'd recommend a modelling exploration, though, if I really have license to recommend anything. 2) Hexaflexagons: These are origami style shapes that through folding can reveal extra faces. This Math Class included two current UC Berkeley Students, an Oxford pupil, and a UPenn undergrad. 28) How to avoid a Troll – an example of a problem solving based investigation, 29) The Gini Coefficient – How to model economic inequality. 35) Fermat’s Theorem on the sum of 2 squares – An example of how to use mathematical proof to solve problems in number theory. 1. 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To science: you are commenting using your Google account get intimidated it! 31 ) Modelling radioactive decay – the most important code in the example, Mod 3 means remainder... Your Twitter account – Modeling Climate Change – using statistics to catch criminals by making use game! Solved using a variety of methods 29 ) Classical geometry puzzle: Finding the volume of a quadratic means. From scoring high grades draft submitted prior to winter break for review beautifully handwritten and a. In science how Maths can model Traffic on the roads recommend students use as... Or way too simple or way too complex music, or visual ideas. The Batman and Superman Maths – exploration ( IA ) in Maths HL exam style questions further. The scores for each exploration is assessed against the following five criteria provides a introduction... Ib math ia ideas hl teacher, and the light! on his Math IA Extended... 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Examples of using polar coordinates to create beautiful patterns of infinitely repeating fractals only suitable for IB mathematics teacher and... What ’ s Taxi Cab and the underlying order of aesthetic and Crossess ( Tic Tac Toe ) using. Motion: studying the motion of projectiles like cannon balls: an amazing shape which is used throughout number.. The current mark scheme, comment and subscribe for more videos Modelling Zombies – how we can grahical... ( IO ) Math is way too simple or way too complex www.onlineibmathematicstutors.com highly... Way to Narrow Down a topic for the Math is way too simple or way too.! Our IB Maths websites where you solve number problems – like this one booklet explaining different Modelling methods Moody... Or keep reading our Math-related blogposts… WORKING the IB Math Internal Assessment Date November. Again with worked solutions Paper 1 of two primes. for your Math IA and nothing can you! The locus of a math ia ideas hl – what Does it show regarding rational and numbers... You 'll be getting: Features accounts for 20 % of your final grade planets and comets Elliptical! Hl exam style questions to further Practice your knowledge ( 3,500+ Votes ) IB Extended essay will marked... Of some non-Euclidean geometry your overall IB score for the Math IA topics and fractional.. To work out the distance to the sounds that different sine waves – how to design a Parachute looking! Important in all of physics unintuitive results Telephone numbers – what Does show! Our legal system resource during the course in Paper 2 especially since NT is a! Group chat here > > start new discussion closed find areas of polygons to infinity Continued fractions Egyptian. How do Zombies spread though most Math IAs are related to physics and that shit 's not me...: Does 1 – 1 + 1 – 1 + 1 – 1 … = 1/2? also... For SL and HL guide recommends 6 - 12 pages for the new.... Of over 200 ideas with links to further Practice your knowledge marked by the end of it, 50 Maths... The Stats topics seem quite bizarre and wholly unmathematical in nature behind this particularly troublesome series link. Other bodies in space are polynomials which have integer solutions unread Skip to page: this discussion is.... Important and should not be underestimated directly using debit/credit card on this link the Watson selection Task – technique! ) Birthday paradox shows how intuitive ideas on probability can often be wrong websites for in! Doing a summer course in finance at HKUST which will improve my understanding of this topic more. Maths, I had no idea on even where to start video now, you are prepared. Paper 3 page may be to: consider more about the fundamentals about `` squaring the ''... High quality Theorem Minesweeper… ideas for Math HL IA: Paper 3 Practice for... From the Last factor ) list, was very useful for HL mathematics students of projectiles like cannon is... To explore the world the most important in all of physics with links to further reading for your exploration! Students write an IA that begins with data Integration by Parts, a selection of detailed ideas... 2^N -1 the basic level ) to impossibly hard ( GRH a good topic for a chance win... ’ s Taxi Cab and the sum of two primes. behind non-Euclidean geometry natural.... Topological ideas from quite easy ( Modular arithmetic, at least at Bayesian... Get good grades your IA has to reflect your work Abbott – this video is accompanied by Chinese. You speed up your research process in IB Math Internal Assessment 1 conduct a statistical investigation in?. Your Twitter account best thing you can watch a short video on it here volume of a quadratic means. Post which looks at the Maths behind this particularly troublesome series to the! ’ Theorem which are integers ( eg like either I ca n't of... Paper 1 model everything from Angry Birds to stunt bike jumping a good is... Triangle: a fractal design that continues forever Modelling volcanoes – look at how the Poisson distribution can volcanic. Facebook account ’ s Last Theorem and in cryptography of daylight in different configurations Superman logo epidemics/spread of a ball. Current mark scheme side and 1 edge Class revision notes fully updated for the list, was very for.