Maths Exploration Topics: + ideas for investigations. 1) The harmonic series: Investigate the relationship between fractions and music, or investigate.

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Basically I've decided that i want to do my IA on music/music theory but I have no idea on where to go so if anyone who has done (submitted, dont want you to.

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This page has over examples of maths IA exploration topics and ideas for IB between fractions and music, or investigate whether this series converges.

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Learning to perform music is a 2 Bangerter great feat to undertake that takes just as much mental maturity as it does physical control. A great example is Johann.

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Maths Exploration Topics: + ideas for investigations. 1) The harmonic series: Investigate the relationship between fractions and music, or investigate.

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I just got my grades for math exploration which is 17/20 so I think I can answer this question. My topic was "Surface area of an egg". This sounds very simple but.

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This page has over examples of maths IA exploration topics and ideas for IB between fractions and music, or investigate whether this series converges.

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How to use modeling to predict booms and busts. This also has some harder exams for those students aiming for 6s and 7s. Investigate the surprising correlation between finger ratios and all sorts of abilities and traits. Model your data using a normal distribution. Run the Gapminder graph to show the changing relationship between GDP and life expectancy over the past few decades. This is a puzzle that was posed over years ago by a Chinese mathematician. IB test scores are designed to fit a bell curve. Look at some of the maths and psychology behind winning this game. The twin prime conjecture states that there are infinitely many consecutive primes eg. What is the Mordell equation and how does it help us solve mathematical problems in number theory? What is the geometric shape of soap bubbles? Also look at how the Championship compares to the Premier League. We can analyse the data to find out. The Questionbank takes you to a breakdown of each main subject area e. Find out more! The English language has an average word length of 5. Why does the twin paradox work? This is an nice example of how you can investigation optimization of the area of different polygons. Look at the Bayesian logic behind the argument that we are living in a computer simulation. Why do magic squares work? You can download a page pdf guide to the entire IA coursework process for the new syllabus first exam to help you get excellent marks in your maths exploration. How can we find the area of any polygon? Use Tracker software to create a Sine wave. Are maths students better than history students?{/INSERTKEYS}{/PARAGRAPH} This is a lovely construction using just compasses and a ruler. Explore the maths behind code making and breaking. A list with over examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment IA coursework. How strange things happen when we start to manipulate divergent series. This is a function which is used in Quantum mechanics — it describes a peak of zero width but with area 1. In some geometries triangles add up to more than degrees, in others less than degrees. Some nice examples of using polar coordinates to create interesting designs. Why does the house always win? Are there functions which plot any polygons? Can you find the loop of infinite sadness? A good use of your calculus skills. An interesting insight into the mathematical field of Number Theory. This is a nice way to link some maths history with studying an interesting function. Unleash your inner spy! Find out how! Use the Olympic database to find out if the m times have got faster in the same way the m times have got quicker over the past few decades. The challenge is to see how many different shapes can be made with a given number of squares — and how can they fit together? This topic is only suitable for IB HL students. We can use a Poisson model and some Excel expertise to predict the outcome of sports matches — a technique used by gambling firms. The great Indian mathematician Ramanujan discovered some amazing examples of these. IB Revision with Revision Village. Fourier transforms have an essential part to play in modern life — and are one of the keys to understanding the world around us. Use the Guardian Stats data to find out if teams which commit the most fouls also do the best in the league. This mathematical equation has been described as the most important in all of physics. This is a nice geometry puzzle solved using a variety of methods. Choose your own pattern investigation for the exploration. Investigate what makes a number happy or sad, or sociable! Use computer graphing to investigate. The NHS use a chart to decide what someone should weigh depending on their height. This investigates a generalized version of projectile motion — discover what shape is created. Listen to the sounds that different sine waves make. A post which looks at the maths behind this particularly troublesome series. Use modeling and volume of revolutions. What would happen to the climate in the event of a nuclear war? Investigate how the scores from different IB subjects compare. {PARAGRAPH}{INSERTKEYS}This page has over examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment IA coursework. Look at some stats for NBA players to find out. For example, Mod 3 means the remainder when dividing by 3. A chance to look at some statistics with surprising results. What is your best way of surviving the zombie apocalypse? What I like about this is that you are given a difficulty rating, as well as a mark scheme and also a worked video tutorial. It is now used as a saying to represent something impossible. Find out! This topics provides a fascinating introduction to both combinatorial Game Theory and Group Theory. Can all fractions with a numerator of 2 be written as 2 Egyptian fractions? Algebra, Calculus etc and each area then has a number of graded questions. A good example of how to conduct a statistical investigation in mathematics. Here is a geometric proof. How to use graphic software to make art from equations. This is also a potential opportunity to discuss the Golden Ratio in nature. I would really recommend everyone making use of this — there is a mixture of a lot of free content as well as premium content so have a look and see what you think. It involves understanding the modulo operation. Use Google Finance to collect data on company share prices. Written by an experienced IB teacher this guide talks you through:. How all our digital communications are kept safe through the properties of primes. The use of regression in polling predictions. Surprisingly maths can help! Using the SIR model to understand epidemics. Really useful! Also look at the finances behind Premier league teams. Explore this famous number theory puzzle. Maths is closely connected with astronomy — see how we can work out the distance to the stars. A UK study showed that primary school girls play much less sport than boys. Does this mean that height is a good indicator of weight? Can we find a function that plots a square? I would strongly recommend students use this as a resource during the course. Use the binomial distribution to test your ESP abilities. Is Bitcoin going to keep rising or crash? We know that adult population heights are normally distributed — what about student heights? Try to plot the locus of a sliding ladder. There has been a recent breakthrough in this problem. How does that compare with other languages? How the normal distribution is used to predict elections. You can also model everything from Angry Birds to stunt bike jumping. A great introduction to some of the ideas behind non-euclidean geometry.