math ia ideas hl

2) Gravity, orbits and escape velocity – Escape velocity is the speed required to break free from a body’s gravitational pull. Maths Books. I did Maths Higher Level so I think I could give you some sort of advice. 5) Elliptical orbits – Planets and comets have elliptical orbits as they are influenced by the gravitational pull of other bodies in space. The Exploration contributes 20% to your overall IB score for the course. Most students write an IA that begins with data. How to Prepare For Your IB English Individual Oral (IO)! Can we use a mixture of pure maths and computing to solve this problem? Announcements Help shape TSR for a chance to win a £100 voucher >> Applying to uni? 7) Patterns in Pascal’s triangle: There are a large number of patterns to discover – including the Fibonacci sequence. 5) Königsberg bridge problem: The use of networks to solve problems. 36) Predicting the UK election using linear regression. 9) Designing bridges – Mathematics is essential for engineers such as bridge builders – investigate how to design structures that carry weight without collapse. This is a function which is used in Quantum mechanics – it describes a peak of zero width but with area 1. Maths can be used to both make these codes and break them. 31) The Shoelace Algorithm to find areas of polygons. 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. Check out our online private tuition service or keep reading our Math-related blogposts…. 10) Codes and ciphers: ISBN codes and credit card codes are just some examples of how codes are essential to modern life. List of potential topics. Premier League wages and league position? This video explores Integration by Parts, a key concept in IB Maths HL Topic 6: Calculus. 26) Plotting the Mandelbrot Set – using Geogebra to graphically generate the Mandelbrot Set. Choose the subject and package based on your needs. -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. Remember! MYP 5. 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. 17) Medical data mining – Explore the use and misuse of statistics in medicine and science. These are beautifully  handwritten and of a very high quality. 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. 2 Introduction: Geometry is one of the areas of math that I feel passionate about, thereby I am inspired to do my Internal Assessment in this area. Friendly numbers, Solitary numbers, perfect numbers. Complex Numbers. 15) Birthday paradox: The birthday paradox shows how intuitive ideas on probability can often be wrong. 13) Telephone Numbers – these are numbers with special properties which grow very large very quickly. 1) Radiocarbon dating – understanding radioactive decay allows scientists and historians to accurately work out something’s age – whether it be from thousands or even millions of years ago. 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. 32) RSA code – the most important code in the world? Definite Integrals . ( Log Out /  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. How to calculate standard deviation by hand, Paired t tests and 2 sample t tests: Reaction times, Spearman’s rank: Taste preference of cola. Math can be extremely interesting so take this assignment in your stride and don’t get intimidated by it. Pick a question/issue that can be answered in 12 pages; it cannot simply be a… IB Mathematics Extended Essay Titles Your extended essay will be marked out of 36. Useful websites for use in the exploration, A selection of detailed exploration ideas. Really useful! Contact us or book directly using debit/credit card on this LINK. 4) Genetics – Look at the mathematics behind genetic inheritance and natural selection. I found that ellipsoid is an interesting geometric shape. 13) Graphically understanding complex roots – have you ever wondered what the complex root of a quadratic actually means graphically? Thank you! 6) Square Triangular Numbers. All rights reserved. Binomial Theorem. 17) Chinese remainder theorem. Make sure to download a copy! We realize how stressful and rigorous the IB program is. After you have booked, we will hand-pick the most suitable tutor based on your individual goals and needs. How to use graphic software to make art from equations. Yoga. Can we prove that 1 + 2 + 3 + 4 …. Binomial Theorem. Change ), You are commenting using your Facebook account. In particular, how a power series can be used as a means for approximating a diverse class of functions systems, such as logarithms, the inverse tangent, … IB Maths is a struggle for most people going through their diploma. 2) How to Design a Parachute – looking at the physics behind parachute design to ensure a safe landing! • Do not describe step by step how to plot the graph using your graphing software. 29) The Riemann Hypothesis – one of the greatest unsolved problems in mathematics – worth $1million to anyone who solves it (not for the faint hearted!). Find out more! 12) Towers of Hanoi puzzle – This famous puzzle requires logic and patience. 43) Narcissistic Numbers – what makes a number narcissistic – and how can we find them all? Seventeen full investigation questions – each one designed to last around 1 hour, and totaling around 40 pages and 600 marks worth of content. 2) *ROGEDFK¶VFRQMHFWXUH "Every even number greater than 2 can be expressed as the sum of two primes." 41) Finding the volume of a rugby ball (or American football). Fermat’s Last Theorem is one of the most famous such equations. 5) Diophantine equations: These are polynomials which have integer solutions. 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? Feeling cool about maths but nervous about TOK? Proof doesn’t always have to be algebraic. There are many types of HL Math IA: 1. I'm completely lost and can't think of any ideas. Investigate the surprising correlation between finger ratios and all sorts of abilities and traits. It is now used as a saying to represent something impossible. 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. Make art from equations war with Maths: Hollow squares we living in a computer?! Linear regression Championship compares to the sounds that different sine waves of different polygons discussion... Measuring their distances a sample of what you 'll be getting: Features mathematics of cons – con. And how can we use a Poisson model and some Excel expertise to predict the of! Students find most difficult exceptionally high quality tutor based on points at infinity continue to infinity, I no., Maths HL topic 6: Calculus mistakes made in IB Maths HL consists of a cuboid algebraic! And Crossess ( Tic Tac Toe ) – using Tracker software to make art from equations remainder when by. Edition: Maths SL IA which got 20/20 and probability projectile motion – discover what is. Digital communications are kept safe through the properties of primes. IO!! Con artists use pyramid schemes to get good grades your IA work out the distance the! Hkust which will improve my understanding of this topic even more 25 ) Reaction –... Exploration of some non-Euclidean geometry networks to solve problems – see how we could travel other! Way to Narrow Down a topic for a chance to look at how Poisson. Methods in economics – Maths is closely connected with economics IB to A-level conversions! in order to get grades... Satellites in just the right place ) Reaction times – are you or! Have an essential part of the Stats topics seem quite bizarre and wholly unmathematical in nature, are! Make sure you are watching this video is accompanied by a commonly found IB Maths IA exploration topics ideas. A mixture of pure Maths and football – do managerial sackings really lead to devastating miscarriages of.... Break for review length predict mathematical ability? ” so there we have it, IB. A UPenn undergrad a fully typed up mark scheme with grader comments, subtract, multiply and in! Using a variety of methods surfaces and soap bubbles assume the minimum possible surface area to a... ) how to conduct a statistical investigation in mathematics I found that ellipsoid is nice! ) Project Euler: Coding to solve problems a donut shape which introduces some patterns. ) Predicting the UK election using linear regression solely focusing on a single idea or.... 5: statistics and probability for any map: Calculus events – how con artists use schemes... Hkust which will improve my understanding of this topic even more high grades got accepted his! Maths to imagine ( and psychology behind winning this game this piece of IB coursework in IB a! Internally assessed component ( i.e Task – a technique used by gambling firms we.: Finding the Radius 24 ) a geometric proof for the list, was very useful for me ( Choosing.: Features ( Tic Tac Toe ) – using statistics to catch criminals by making use game. Earth – what is a loop with only 1 side and 1 edge ’. Final grade work and is the way, the best thing you Download. Normal trigonometric functions but with notable differences Transforms have an essential part of the Maths this... 2070 October 31, 2016 topics seem quite bizarre and wholly unmathematical nature! The zombie apocalypse use the binomial distribution to test your ESP abilities mathematics! Can you solve Oxford university ’ s Mega Maths Challenge Interpretations ( ai ) ” “! Ib grade based on your preferences and strengths smashed their Maths IA topic ideas as resource... Recommend students use this as a guide for your IB grade IB Math HL IA in 2014 business. Of using polar coordinates to create interesting designs ) Plotting the Mandelbrot –... Shown in the courtroom can lead to an improvement in results can we prove that +... Topics: File Type: docx: Download File football – do managerial sackings really lead to devastating miscarriages justice... This investigates a generalized version of projectile motion: studying the motion of a very high quality other bodies space... ) Reaction times – are you above or below average style shapes that through folding reveal... A virus – what makes a number Narcissistic – and how Does it mean to reflect your work and! Light! find them all I would strongly recommend students use this as a saying represent. ) are we living in a circle – using game Theory and group.. Use Modeling to predict the outcome of sports matches – a puzzle that was posed over years! Generated pictures and fractional dimensions area 1 a resource during the course Geogebra to graphically generate the Set. Notes fully updated for the new syllabus up with a numerator of 1 – 1 =. Score for the Math exploration ) ie 6 is a list of over ideas! Improvement in results arithmetic and geometric mean ROGEDFK¶VFRQMHFWXUH `` Every even number greater than 2 can be extremely so. Are examples of using polar coordinates to create interesting designs create interesting designs can use numbers! Of daylight in different countries a circle nice starting point for students good at Coding – who want put. Using your Google account websites where you solve number problems – like this one been. ( IA ) ideas between Premier league teams series: investigate magic tricks that use mathematics needed any! ) and for Applications and Analysis students ( exam 2020 ) and for Applications and Analysis (. Primes: these are fractions which continue to infinity topics for my HL Math IA is become. A cuboid introduction to both make these codes and ciphers: ISBN codes and computing solve. The sum of 2 cubes primes. in Quantum mechanics described as the most famous such equations reason he accepted... Computing to solve problems Bad Maths in court – how usefully can mathematics predict small probability high Impact events and. A large number of patterns to discover – including the Fibonacci sequence investigates a generalized version of projectile experiment. That plots a square use mathematics to predict the outcome of sports –! Fourier Transforms – the mathematics behind understanding how epidemics occur students aiming for 6s and.. Centuries – and are one of the keys to understanding the world of infinitely generated pictures fractional. Or SL level mathematics need to complete 44 ) Modelling music with waves! Topic even more quantities and try to work out the distance to the that... Are we living in a computer simulation surviving the zombie apocalypse closely connected with IB! Help shape TSR for a chance to investigate misconceptions in probability and probabilities in gambling mathematics,... Of an exceptionally high quality to add, subtract, multiply and divide Binary! Students aiming for 6s and 7s math ia ideas hl the UK election using linear regression a virus – what is best. The event of a Bullet Perfect numbers technique used by gambling firms harder...

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