Looking at Figure 2, basement 1 has a length of 25 ft and a width of 55 ft so. xU]hU>3;yCmK+u!aR&MM6Ut'3 } So there we have it: 50 IB Maths IA topic ideas to give you a head-start for attacking this piece of IB coursework! The Greeks used a very different approach to understanding quadratics and as a result had a deeper understanding of their physical properties linked to light and reflection. 19) Natural logarithms of complex numbers. 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. Share. How fast are the car and driver going when the driver stops pushing the gas pedal to the floor? 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. 7) Sierpinksi triangle: a fractal design that continues forever. the 40) Stellar Numbers This is an excellent example of a pattern sequence investigation. Computers can take in a large data set, perform statistical analysis on the data, and generate plots within minutes. 5 Geometry. This is the house the client should buy! q&}@{S$*!6g)pOK`/N"AbhIrW1Xllkz;)F F!vtPp7XQ>lTk<3D~)xGZ_L29=`0GP?w coursework science In some geometries triangles add up to more than 180 degrees, in others less than 180 degrees. Can we extend our investigation above to a multi-dimensional cube? Get unlimited access to over 84,000 lessons. This problem asks you to explore a sliding ladder. MATH, ziadpike. 5 0 obj Whatever you choose, remember that you will create a new exploration of complex ideas. Lets take a look at the criteria for your Math IA. << /Length 11 0 R /N 1 /Alternate /DeviceGray /Filter /FlateDecode >> 5) Project Euler: Coding to Solve Maths Problems. Probability: Are Oxford and Cambridge biased against state-school applicants? How has your involvement allowed you to reflect on different mathematics topics? succeed. This may indicate the start of a pattern. Its a really useful tool that allows you to compare different variables. (This topic is only suitable for IB HL students). Login. May 2022. Following the vertical axis to 1750 then tracing down to the horizontal axis, the basement would need to be at least 31 ft to have the desired square footage. Related rates are used to find how two rates of change are related. 3) Chinese postman problem This is a problem from graph theory how can a postman deliver letters to every house on his streets in the shortest time possible? 7) Fibonacci sequence and spirals in nature There are lots of examples of the Fibonacci sequence in real life from pine cones to petals to modelling populations and the stock market. 30) Can you solve Oxford Universitys Interview Question?. 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. A model in math can be different depending on the type of model or what the model is describing, and some of the uses of mathematical models are: An error occurred trying to load this video. Equation 2: y=sin(587.33/440x), Equation 1: y=sinx For example, physicists studying proton-proton collisions at CERN use computer modeling to learn about the particles produced during the collisions. 17) Medical data mining Explore the use and misuse of statistics in medicine and science. 408 This process can help you reflect on new relevant logic that you may not have known previously. 67 lessons. How did Galileo achieve his breakthrough understanding of gravity? Equation 2: y=sin(554.37/440x) 12) Magic squares and cubes: Investigate magic tricks that use mathematics. 25) Palindrome numbers: Palindrome numbers are the same backwards as forwards. 7) Mbius strip: An amazing shape which is a loop with only 1 side and 1 edge. This is the graph of A = l*55. Maths Exploration (IA) ideas 28452 March 19, 2021 Predicting fire spread in wildlife fields: This mathematical model of fire presented in this paper offers for the first time a method for making the quantitative evaluation of both rates of spread and fire intensity in fuels that qualify for the assumptions made on the model. All rights reserved. The examiner will be looking at the quality of the idea and the body of work in relation to the assessment criteria. A good use of your calculus skills. Registration confirmation will be emailed to you. 22) The Folium of Descartes. 43) Narcissistic Numbers what makes a number narcissistic and how can we find them all? 4) Applications of complex numbers: The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers. Bookmark Download. Equation 3: y=sin(659.26/440x) See 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. It is also worth noting that the maths produced should be at a similar level to the math you cover in your syllabus. 20) Twin primes problem: The question as to whether there are patterns in the primes has fascinated mathematicians for centuries. Many branches of math and science use mathematical modeling, and equations and graphs are not the only types of math models. The given equation, {eq}v_f = v_i + at {/eq}, says that it is possible to find the final velocity of an object from its acceleration and the time that the object travels. A first inversion chord starting on A will actually be in the key of F major. 11 Mathematics and Physics. Graphs are another common method of mathematical modeling, and each of these types of models is explored in detail below. Ill just go straight into giving you some Math IA ideas which can help you get a good score and hopefully youll also have fun while exploring them. 36) Can we prove that 1 + 2 + 3 + 4 . Simona received her PhD in Applied Mathematics in 2010 and is a college professor teaching undergraduate mathematics courses. If you had done the calculations and the mathematics earlier then you would have realized that these two variables do not have a relationship and then you can pick other different variables and select the ones that have a good relationship and which you can build a discussion on. 1, Models for the height of water in a cylindrical container. I will now look at the augmented 6th, another discordant chord. There is a $1 million prize for solving the Riemann Hypothesis and $250,000 available for anyone who discovers a new, really big prime number. 19) Elliptical Curves how this class of curves have importance in solving Fermats Last Theorem and in cryptography. Email length need to be from 5 to 40 characters, Password length need to be from 5 to 40 characters, 5 Tips to Score 7s in your Economics IAs. These waves look very similar to the major chord waves, as only one note has changed; the C# has gone down by a semitone. 47) Hollow cubes and hypercubes investigation. You can watch a short video on it here. Optimizing areas: Optimizing the area of a rectangle is easy, but can you find a way to do it for any polygon? Mathematics and photography: Exploring the relationship between the aperture of a camera and a geometric sequence, Normal Distribution: Using distributions to examine the 2008 financial crisis, Mechanics: Body Proportions for Track and Field events. So there we have it, a well organized exploration of the idea and IB layout of your Mathematics IA! This will help to keep your data analysis focused. How long will our forests last? Interestingly, the graphs of these intervals show that the notes in the perfect fourth cross at exactly 3, and the notes in the perfect fifth cross at 2. Figure 4: Use this exponential growth graph to predict the population for Example 3. However, there is not necessarily a difference in chords that are in harmony and discordant chords. These are some of the best Math IA Topics. You can take any data and try to figure out whether it is normally distributed or not. ie 6 is a perfect number because 1 + 2 + 3 = 6. They may also tell you that this one will work for you and this one wont sew and sure that you take their advice into consideration. are examples of log scales investigate how these scales are used and what they mean. No explaination of how approx frequency ratio values are determined. Essential knowledge for future astronauts. 2) Solving maths problems using computers computers are really useful in solving mathematical problems. 1. lanchester s combat model ia maths sl 7 exploring an alternative method of calculating the volume of a star Here is a geometric proof. When do we have a square number which is also a triangular number? 12) The Riemann Sphere an exploration of some non-Euclidean geometry. I started by working out how to model a single note. Before taking action, she wants to know what the town's population will be in one year, in three years, and in four years. To unlock this lesson you must be a Study.com Member. We are available: Mon-Fri 9am-7pm CESTSat 10-5pm CESTSun 12-5pm CEST. Equation 1: y=sinx Equation 2: y=sin (554.37/440x) Equation 3: y=sin (659.26/440x) Equation 4: y=sin2x ( A. However, redoing them would not be such a bad idea as long as you ensure that you infuse some complexity, personal involvement and more critical thinking. Relationships: Do BMI ratings and country wealth share a significant relationship? It is clear then, that there is a difference in the mathematical relationship of notes within chords in harmony and discordant chords. Figure 1: Throwing a baseball can be described using the kinetic equations which are a type of mathematical model. While there are different perspectives when it comes to formatting your maths IA, we recommend the steps outlined below. Investigate how binary is used link to codes and computing. 32) Soap Bubbles, Wormholes and Catenoids. Copyright 2023 Nail IB. These ideas need to be conveyed in your writing. 14) Circular inversion what does it mean to reflect in a circle? By year four the town's population will be larger than 1,400,000. Or is it better to switch? A mathematical model is commonly written as an equation. Financial Mathematics Equations & Problems | What is Financial Mathematics? More computing led investigations. Optimizing volumes: Explore the mathematics of finding a maximum volume of a cuboid subject to some constraint. 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. 8) The Remarkable Dirac Delta Function. 10) Pythagorean triples: A great introduction into number theory investigating the solutions of Pythagoras Theorem which are integers (eg. What does the future hold? 28) Ford Circles how to generate Ford circles and their links with fractions. 10) Tangrams: Investigate how many different ways different size shapes can be fitted together. 11) Mersenne primes: These are primes that can be written as 2^n -1. Computer modeling may be new, but chemical formulas as a math model are centuries old. 3) Stacking cannonballs solving maths with code how to stack cannonballs in different configurations. You can think of the IA as a written mathematical presentation that will impact your final grade. In SL youll be required to find two variables and look for some kind of relationship whether its. A key feature of equations and graphs that makes them useful models is their ability to make predictions about the future of the system in question. This takes the usual projectile motion ideas and generalises them to investigate equations of ellipses formed. Familiarise yourself with the steps below, and then dive into your chosen topic. 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? You can compare income and life expectancy in a country. The IB needs us to do more than just show what weve done. 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. 6) Continued fractions: These are fractions which continue to infinity. 10/29/2020. The approximate ratio for this chord shows that the ratio is not as precise, This evidence would suggest that notes which are traditionally considered to be in harmony are mathematically neater than those that are not in harmony. Math models can also be used to learn about a system, visualize data, or understand the origins of the system. As with all assessments, you also need to include a solid conclusion that summarises the research and work youve done. Analysing Data: In the 200 meter dash, is there an advantage to a particular lane in track? They are useful for modelling more complex shapes. endobj 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. 7 Request this IA to be marked. 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. 9) Optimization of area an investigation. Explores unfamiliar maths and devises own approach to area under curve. The approximate ratio for this chord shows that the ratio is not as precise (B. Can you find the loop of infinite sadness? Knowing how youre being graded will make it much easier to make sure you're ticking all the boxes. In accordance When the gun fires, she fully accelerates at 80 {eq}m/s^2 {/eq} for 10 seconds. You can try and figure out average sleep and compare it with the grades and work outputs. 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. 31) Grahams Number a number so big that thinking about it could literally collapse your brain into a black hole. Student created own way of looking for patterns in the chords). 6) Logarithmic scales Decibel, Richter, etc.
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math ia modelling example