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. An interesting topic can also stem from liking a particular topic of subject in math such as calculus and then you can find something in relation to even Formula 1 or a real life situation that involves calculus. stream Bookmark Download. The three main types of mathematical models are equations, graphs, and computer modeling, and each of these can be used to learn about different aspects of a system. How big would the length of the basement have to get so that the area satisfied the client? Familiarise yourself with the steps below, and then dive into your chosen topic. 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. Pythagorean Theorem Diagram & Model | Why is the Pythagorean Theorem Important? It is common for a math model to have numerical constants and variables that represent different aspects of the system. Example of crime index calculation: State Year Pop Violent Property IA 2007 2,988,046 8,805 78,154 (Violent+Property) Population 1000=Crime Index (8,805+78,154) 25) Palindrome numbers: Palindrome numbers are the same backwards as forwards. View Math IA Final.docx from MATH, HL at GEMS Wellington Silicon Oasis. 20) Twin primes problem: The question as to whether there are patterns in the primes has fascinated mathematicians for centuries. Scored 16 out of 20. We have a complete cycle of time 1/a + D+T. 15. Personal connection and engagement with the subject matter are key. The examiner will be looking at the quality of the idea and the body of work in relation to the assessment criteria. Simplifying this expression gives the final answer of {eq}v_f = 800 {/eq} m/s. 40) Stellar Numbers This is an excellent example of a pattern sequence investigation. endobj Sample Math IA. How many different ways can we use to solve a number theory problem? dS/dt = -2.14 I S. dI/dt = 2.14 I S - 0.14 I. dR/dt = 0.14 I. At what rate is the distance between the cars increasing two hours later? Look out for these during the Winter and Easter breaks before the final exam. Math solutions -. 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. Harmonic series: Explore why certain notes/chords in music sound dissonant, and others consonant, by looking at the ratios of frequencies between the notes. Browse thousands of Internal Assessment, Extended Essay, and TOK examples. From a HL student, here are some topics which have been extremely overdone: Surface area of solids of revolution, Sir model or newtons law of cooling, Common differential equations. This chord is also known as The Devils Chord, as it is considered to be the most the unpleasant sounding chord in music. 31) Grahams Number a number so big that thinking about it could literally collapse your brain into a black hole. 1, Models for the height of water in a cylindrical container. 11) Mersenne primes: These are primes that can be written as 2^n -1. 11) Projectile Motion Investigation II. Equation 4: y=sin2x. 14, Advice from an IB Examiner on topics you should avoid. Equation 4: y=sin2x, (A. 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. Students are required to investigate an area of mathematics and then present it as a written body of work. 35) Sphere packing how to fit spheres into a package to minimize waste. By following this tried and tested structure for your math IA, each student will be able to present their findings consistently and optimally. 5) Diophantine equations: These are polynomials which have integer solutions. Complex topics that belong to university level. 1. This produces the following graph: Using an A major chord, I can look at the relationship between the notes in a major chord. Many IB students find it hard to study mathematical concepts. View Mark Scheme. Utilising technology can be helpful in conducting a thorough exploration of the topic. Topics will group the questions, and youll probably find answers at the back of your textbook. Quadratic Model Functions & Form | Modeling with Quadratic Functions, How to Create a Mathematically Rich Learning Environment. 2) Step two is to calculate the area of basement 2 which has a length of 50 ft and a width of 35 ft. copyright 2003-2023 Study.com. When do we have a square number which is also a triangular number? Equation 1: y=sinx Equation 2: y=sin (554.37/440x) Equation 3: y=sin (659.26/440x) Equation 4: y=sin2x ( A. These are questions that every scientist, mathematician, businessman, and economist will eventually ask, and to answer them requires a mathematical model of the system. Equation 2: y=sin(587.33/440x), Equation 1: y=sinx Importantly, make sure to also discuss some of the challenges in your IA and what you would/could explore with more time and more words. Group Homomorphisms: Definitions & Sample Calculations, Teaching Reasoning in Math: Types & Methods, Applying Systems of Linear Equations to Breakeven Point: Steps & Example. 11) Flatland by Edwin Abbott This famous book helps understand how to imagine extra dimension. Physicists can also use computer modeling to make predictions about what particles are expected to be produced. However, to test this theory properly, we need to look at chords that differ from the original major chord more dramatically. Erroneous notation, it should be 554.37x/440) I altered the wavelengths, or frequencies, of the graphs by changing the coefficient of x. 8) Change in a persons BMI over time There are lots of examples of BMI stats investigations online see if you can think of an interesting twist. To solve the problem, complete the following steps. Again using an A chord, I have modeled a minor chord and looked at its features. This chord, however, has 3 notes, so it can be more easily compared to the other chords I have looked at. (1 More IB Past Papers). Many branches of math and science use mathematical modeling, and equations and graphs are not the only types of math models. This is an area of maths that is not strictly bound to the number! You can test whether something is normally distributed or not. This is a written assignment in which students are required to investigate a specific area of math subject. Investigate how to solve them. 34) The Tusi circle how to create a circle rolling inside another circle using parametric equations. She currently teaches struggling STEM students at Lane Community College. 16) Hyperbolic functions These are linked to the normal trigonometric functions but with notable differences. 39) Zenos 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. Graphs not related to tables). JOIN FOR FREE. Football topics such as exploring the probability of penalty kicks being saved, or the best position of the goalkeeper. Math in Art: Types, Examples & Paintings | How is Math Used in Art? There are many ideas you can explore for the assessment, including graph theory, surface area, geometry, calculus equations, statistics, linear regression, modelling statistics, the SIR model, etc. Dont panic weve got you covered. However, there is not necessarily a difference in chords that are in harmony and discordant chords. 46) Ramanujans Taxi Cab and the Sum of 2 Cubes. 26) Plotting the Mandelbrot Set using Geogebra to graphically generate the Mandelbrot Set. A chemical formula is a mathematical model that relates the relative amounts of composite chemicals in a molecule. You can take any data and try to figure out whether it is normally distributed or not. If an artist has two albums you can check out which one is significantly popular. Youd be better off carefully thinking about what youre going to do and what interests you, and what would make you have the most personal engagement and the ease of access to data that you need. Its a HL Math IA. 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. I started by working out how to model a single note. Whatever you choose, remember that you will create a new exploration of complex ideas. lanchester s combat model ia maths sl 7 exploring an alternative method of calculating the volume of a star This doesnt mean that youre confined to only looking into topics that are covered on your syllabus, but it should be of the same rigour! Financial Mathematics Equations & Problems | What is Financial Mathematics? Equation 2: y=sin(523.27/440x) A first inversion chord starting on A will actually be in the key of F major. This is why we allow the book compilations in this website. Try to plot the locus of a sliding ladder. How much safer does a password get by adding symbols or numbers? Looking at Figure 3, the population starts out at a little over 100,000 people, and it does not grow much the first year. This client is so picky that unless the basement has exactly 1750 square feet he absolutely will not buy the house. Modeling of any kind as it also takes a lot of effort. The twin prime conjecture states that there are infinitely many consecutive primes ( eg. Two cars start moving from the same point. 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It is clear then, that there is a difference in the mathematical relationship of notes within chords in harmony and discordant chords. 12) Towers of Hanoi puzzle This famous puzzle requires logic and patience. 5) Stacking cannon balls: An investigation into the patterns formed from stacking canon balls in different ways. We have created a list of the best Math IA Topics and a list of the most overdone Math IA topics and topics that the IB discourages you from doing. This is the house the client should buy! 12) Four colour map theorem a puzzle that requires that a map can be coloured in so that every neighbouring country is in a different colour. If an artist has two albums you can test whether something is normally distributed or not chords I modeled... Art: types, examples & Paintings | how is math Used in Art group the questions and... Adding symbols or Numbers can also use computer modeling to make predictions what... 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