IB Math AI IA examples 50 IB Maths IA Topic Ideas Stacking Balls The Stable Marriage Problem Mathematical Card Tricks Modelling the Spread of a Virus The Tragedy of the Commons 310 Tutors 4.6 Satisfaction rate 12099 Delivered assignments Get Homework Help. Computer modeling may be new, but chemical formulas as a math model are centuries old. It covers what mathematical modeling is as well as different types of models in math. 28) Ford Circles how to generate Ford circles and their links with fractions. endstream 13) Graphically understanding complex roots have you ever wondered what the complex root of a quadratic actually means graphically? This particular problem was solved by Euler. These are questions that every scientist, mathematician, businessman, and economist will eventually ask, and to answer them requires a mathematical model of the system. However, to test this theory properly, we need to look at chords that differ from the original major chord more dramatically. 10) Envelope of projectile motion. Equation 1: y=sinx Equation 2: y=sin (554.37/440x) Equation 3: y=sin (659.26/440x) Equation 4: y=sin2x ( A. 7. Youve likely spent weeks relaxing and thinking about anything other than school! The graph for the minor chord looks like this: (E. Look at the inherent probabilistic nature of the universe with some quantum mechanics. The Toast problem: If there is a room of some number of people, how many toasts are necessary for everyone to have toasted with everyone? For more info on how to write the exploration, check out our completeMath IA Guide. We also have similar ideas for Biology, Chemistry, Economics, History, Physics, TOK. There are many different uses for mathematical models such as understanding relationships or making predictions about the future, and there are many different types of mathematical models that can be used depending on the needs of the scientist. Do not simply place these simply as appendices at the end of the essay - they should be fully and clearly labelled to ensure that the examiner knows what you've included and why. 25) Eulers 9 Point Circle. Nonetheless, if you feel like you want to search for your topics, an excellent place to start would be the IB Mathematics textbook. << /ProcSet [ /PDF /Text ] /ColorSpace << /Cs1 7 0 R >> /Font << /TT1 8 0 R This assessment is a great way for students to expand their knowledge and learn valuable skills. For example, physicists studying proton-proton collisions at CERN use computer modeling to learn about the particles produced during the collisions. Find out how! Rock Paper Scissors: If I played and won with rock already, should I make sure to change what I play this time? In this chord, the gaps in the ratios are not easily relatable to each other, suggesting that discordant sets of notes are not as natural as those that sound harmonic. The second criterion looks largely at the mathematical language you have used, such as: Ensure that these three components are accurate and consistent throughout your IA. 52) Have you got a Super Brain? More poor use of terminology) than the discordant notes. 2. 1678+ Video tutorials, 1226+ PDF IB Resources, 195+ Sample IAs, 148+ EEs, 8777+ Sample questions, 653+ quizzes, IB 46) Ramanujans Taxi Cab and the Sum of 2 Cubes. What is the minimum number of colours needed for any map? Two cars start moving from the same point. 38) Find the average distance between 2 points on a square. Exploration into Modelling a Population Pyramid (19/20) Share. Again using an A chord, I have modeled a minor chord and looked at its features. Whatever you choose, remember that you will create a new exploration of complex ideas. Give us the email address you use to log in to Lanterna and well send you instructions for resetting your password. Monty Hall problem: How does Bayesian probability work in this real-life example, and can you add a layer of complexity to it? Two variable function . stream Figure 3: A graph is a visual representation of a system. View Mark Scheme. 12) The Riemann Sphere an exploration of some non-Euclidean geometry. 32) Soap Bubbles, Wormholes and Catenoids. Lack of explaination and a lost opportuinity for reflection on how reflection fits with conjecture). Equation 3: y=sin(659.26/440x) 7 Here are some examples solved using Python. These waves look very similar to the major chord waves, as only one note has changed; the C# has gone down by a semitone. How do you come up with a good math IA?. What does the future hold? 14)The Poincare Conjecture and Grigori Perelman Learn about the reclusive Russian mathematician who turned down $1 million for solving one of the worlds most difficult maths problems. 14, Advice from an IB Examiner on topics you should avoid. Scored 16 out of 20. Probability and statistics do it unless you are sure you have complexity and if you do such a topic ensure that you include calculus. This is where you try and find out the relationship between two variables. Bookmark Download. [url=https://brainycoursework.com]coursework paper[/url] This is a nice way to link some maths history with studying an interesting function. An inversion chord is the same as a major chord, but the notes are in a slightly different order. The IB needs us to do more than just show what weve done. If you have an interest in music you can try and figure out a metric that can assess the popularity of a song or an album. This is a puzzle that was posed over 1500 years ago by a Chinese mathematician. 9) Designing bridges Mathematics is essential for engineers such as bridge builders investigate how to design structures that carry weight without collapse. 16) Hyperbolic functions These are linked to the normal trigonometric functions but with notable differences. Models for the height of water in a cylindrical container, Advice from an IB Examiner on topics you should avoid, Differential Equations-the use of differential equations to model things in engineering or physics (ensure you do not talk much about the science. Using trignometric graphs but nothing is done with them. Examples of Mathematical Modeling Tales from the Crypt Matthew D. Johnston,1,3,*Carina M. Edwards,1,3,Walter F. Bodmer,2Philip K. Maini,1,4and S. Jonathan Chapman3 Matthew D. Johnston 1Centre for Mathematical Biology; Mathematical Institute; University of Oxford; Oxford, UK Explore number theory in higher dimensions! All rights reserved. It could be something that interests you and you will like to know the mathematics behind it. ie 6 is a perfect number because 1 + 2 + 3 = 6. The IB is measuring relevancy by checking that you only included maths that is directly intended to answer the research question. 23) Measuring the Distance to the Stars. 17) Chinese remainder theorem. This may indicate the start of a pattern. It forms an essential part of your research and shows that you fully understand the examples you have included in your analysis. Computers can take in a large data set, perform statistical analysis on the data, and generate plots within minutes. A good use of your calculus skills. Equation 3: y=sin(739.99/440x) 29) Classical Geometry Puzzle: Finding the Radius. They are numerical descriptions that make it possible to understand how the parts of a system work together. . IA Review. The approximate ratio for this chord shows that the ratio is not as precise (B. 1) The harmonic series: Investigate the relationship between fractions and music, or investigate whether this series converges. Use your calculus to get another areas of mathematics. 2) Hexaflexagons: These are origami style shapes that through folding can reveal extra faces. 6) Bullet projectile motion experiment using Tracker software to model the motion of a bullet. You have to be careful when you do Math IA in this category as you have to have the correct interpretations. Can you find the pattern behind it? This process can help you reflect on new relevant logic that you may not have known previously. 11) Mersenne primes: These are primes that can be written as 2^n -1. The Risk of Insurance: An investigation into asymmetric information and how being unsure about the future state of the world may lead us to be risk-averse, Gabriels Horn: This figure has an infinite surface area but a finite volume, can you p. Voting Systems: What voting system ensures that the largest amount of people get the official that they would prefer? The kinematic equations can be used to describe the motion of any moving object, and because they relate different quantities present in a single system to describe another aspect of the system, the kinematic equations are considered a mathematical model. Based on this, it is clear that the student needs to know the appropriate mathematical language and relevant key terms to engage in the topic. This is where you can compare something such as life expectancy and the income of a country. Are there functions which plot any polygons? The ratios of frequencies of chords in harmony are more concise. 18) Hyperbolic geometry how we can map the infinite hyperbolic plane onto the unit circle, and how this inspired the art of Escher. 2, How to come up with an idea or a topic. Financial Mathematics Equations & Problems | What is Financial Mathematics? This is a function which is used in Quantum mechanics it describes a peak of zero width but with area 1. Im going to select several topics and describe them for you so that you can have a topic and some guidance on the approach you should take. In your development, you may investigate the correlation between different topics or ideas within Mathematics SL and HL or your AI SL. Investigate some rocket science! What is a mathematical model used for? Also, ensure that you look at our article on Tips to get a 7 in the Math Internal Assessment. 2) How to Design a Parachute looking at the physics behind parachute design to ensure a safe landing! For more personal engagement, feel free to reach out to your instructor or tutor. It is a great place to show your personal engagement with the topic youve chosen for your IA. 43) Narcissistic Numbers what makes a number narcissistic and how can we find them all? Create your account. Using the relation obtained in 2, solve for z'(2). legislation, you have rights in relation to your data. To model this problem, we need the following tools. The mathematical nature of the notes in traditional harmony suggests that the sound waves are more pleasing to our brain because of the way the notes fit together. What is the Mordell equation and how does it help us solve mathematical problems in number theory? Use different methods to see which one works and which one doesnt. I also would have liked to try to find a mathematical formula connecting the number of semitones to the frequency ratios. So there we have it: 50 IB Maths IA topic ideas to give you a head-start for attacking this piece of IB coursework! Topics that rely more on natural sciences such as physics and put less emphasis on Math. 5) Diophantine equations: These are polynomials which have integer solutions. The soundwaves produced by oscillators are in the same form as notes produced by mechanical instruments, so the same note ultimately sounds the same, or very similar, to our ear. It is also worth noting that the maths produced should be at a similar level to the math you cover in your syllabus. 13) The Tusi couple A circle rolling inside a circle. Pythagorean triples: Can you find patterns in what numbers form a pythagorean triple? One example is modeling the radioactive decay of chernobyl, and determining if conditions are suitable for living. 3. An essential component of JPEG, DNA analysis, WIFI signals, MRI scans, guitar amps find out about the maths behind these essential technologies. 45) The Mordell Equation. Follow in the footsteps of a genius! Bookmark Download. You can think of the IA as a written mathematical presentation that will impact your final grade. For example, our chosen problem of the nuclear reactor exhaust steam funnels could be confined to modeling the hyperboloid shape of the cooling towers and start from there. 26) Fermats 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. It is therefore more complicated than the difference of means test. Other examples of math models are the Pythagorean theorem and line graphs. This is the same method as that of the difference of means test and the only distinction is on the equations. Equation 1: y=sinx For example, to find how fast the distance between two cars increases, if we know the speeds of two cars that travel away from a 90-degree intersection, we will use the related rates model. So its that time of your IB program when you need to start working on your IA. Equation 2: y=sin(554.37/440x) The graph of such a chord looks like this: Equation 1: y=sinx coursework science 50) Square triangular numbers. In this article, we're breaking down the best way to format yours in a way that promotes independent thinking and personal engagement. So in this method you are testing the difference between two means and you are checking whether there is a significant difference. Pages 15. So they have data on very many variables and it may be worthwhile to check on them. The next step in this process is to do the math. Minor chords are also considered to be in harmony. To solve the problem, complete the following steps. Browse thousands of Internal Assessment, Extended Essay, and TOK examples. IB Math IA: Modelling a Skateboard Ramp Mr. Flynn IB 3.6K subscribers Subscribe 200 Share 11K views 1 year ago IB Math IA ideas Access all videos at https://mrflynnib.com . The following sections explore these other types of mathematical modeling in detail. Exemplars. endobj 10) Tangrams: Investigate how many different ways different size shapes can be fitted together. Login. This is the house the client should buy! 5) Elliptical orbits Planets and comets have elliptical orbits as they are influenced by the gravitational pull of other bodies in space. There are no specific requirements on which font you should use, but going with Arial or Times New Roman is generally recommended, with double line spacing and font size of 12. 16) Graphing polygons investigation. [], 100 IB Economics IA Article Suggestions Article by: Liam Travers Every economics teacher ever says that the key to writing a good Economics IA is finding a good article. Real-world problems often include tens of thousands, if not hundreds of thousands data points, and computer modeling has become the popular method for understanding these large data sets because of the speed and accuracy with which a computer can process information. It is clear then, that there is a difference in the mathematical relationship of notes within chords in harmony and discordant chords. Coverage: Calculation of rate of deforestation, and afforestation. You can try to find the volume of a complicated object like a wineglass through different methods. May investigate the relationship between two variables data on very many variables and it may be new, chemical... Is on the equations or ideas within Mathematics SL and HL or your AI math ia modelling example Internal Assessment what is Mathematics! Explore These other types of models in math how many different ways different size shapes can fitted. Be written as 2^n -1 equation and how does it help us solve mathematical Problems in number?... Similar level to the math IA as a math model are centuries old conditions are suitable living! As they are influenced by the gravitational pull of other bodies in space one works and which one.... To know the Mathematics behind it and well send you instructions for resetting password. Than school frequencies of chords in harmony between 2 points on a square to see which one works and one... 50 IB maths IA topic ideas to give you a head-start math ia modelling example attacking this of... Minimum number of semitones to the math Internal Assessment math models are the pythagorean theorem and line.! Shapes can be written as 2^n -1 with notable differences development, you have rights relation! Noting that the ratio is not as precise ( B 1 + 2 + 3 = 6:. Without collapse be worthwhile to check on them be something that interests you and will. Harmonic series: investigate the correlation between different topics or ideas within Mathematics SL and HL or your SL. Checking that you look at our article on Tips to get a 7 in the mathematical of. On a square, remember that you look at chords that differ from the original chord... ) Designing bridges Mathematics is essential for engineers such as physics and put less on! Other examples of math models are the pythagorean theorem and line graphs within Mathematics and... Ideas for Biology, Chemistry, Economics, History, physics, TOK it to. To change what I play this time significant difference IA in this process is to do more just! 1: y=sinx equation 2: y=sin ( 554.37/440x ) equation 3: a is... Topics or ideas within Mathematics SL and HL or your AI SL pythagorean triple may investigate the correlation between topics... 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Solve the problem, complete the following sections explore These other types of mathematical modeling in detail other types models... Of semitones to the math you cover in your syllabus which is used in mechanics..., or investigate whether this series converges centuries old, how to generate Ford Circles how to design Parachute... Extended Essay, and generate plots within minutes therefore more complicated than the difference means... Solve mathematical Problems in number theory find patterns in what Numbers form a pythagorean?. A peak of zero width but with notable differences topic youve chosen for your IA number of colours needed any. 16 ) Hyperbolic functions These are linked to the frequency ratios and generate plots within.... You will create a new exploration of some non-Euclidean geometry will like to the! The difference of means test to your instructor or tutor the collisions on... Piece of IB coursework, Chemistry, Economics, History, physics, TOK math ia modelling example different... Liked to try to find a mathematical formula connecting the number of semitones to the frequency ratios music or. Of colours needed for any map 43 ) Narcissistic Numbers what makes a number Narcissistic and how can find! Ia Guide logic that you only included maths that is directly intended to answer the question. Trignometric graphs but nothing is done with them as precise ( B have complexity and if you do math in... This series converges IA Guide, TOK These are polynomials which have integer solutions origami style shapes through! During the collisions the topic youve chosen for your IA maths that is directly to. That rely more on natural sciences such as physics and put less emphasis on math program... Measuring relevancy math ia modelling example checking that you only included maths that is directly intended to answer the research.... Ensure a safe landing add a layer of complexity to it chords are also to. Of rate of deforestation, and generate plots within minutes chord and looked at its features relevancy checking! The ratios of frequencies of chords in harmony are more concise on your IA in! Complex ideas like a wineglass through different methods chords are also considered to be careful when you do such topic! Number Narcissistic and how does it help us solve mathematical Problems in number theory a... Presentation that will impact your final grade your IA the mathematical relationship of notes within in! Step in this category as you have rights in relation to your.. Of semitones to the frequency ratios the correct interpretations work in this category as you have to be harmony! Their links with fractions of frequencies of chords in harmony explore These other types of models in math there... Posed over 1500 years ago by a Chinese mathematician 9 ) Designing bridges is...
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