Look out for these during the Winter and Easter breaks before the final exam. 10) Pythagorean triples: A great introduction into number theory investigating the solutions of Pythagoras Theorem which are integers (eg. 5 0 obj 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. 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. I would definitely recommend Study.com to my colleagues. 4) Tesseract a 4D cube: How we can use maths to imagine higher dimensions. I will now look at some discordant notes and see how they compare with the chords I have already looked at. What conclusions did you reach, and did you succeed in exploring the aim that you set out at the beginning of the Math IA! Again, because the E in the middle of the chord has not moved, the sum of the first 2 gaps in the chord are equal to the third gap. Also, ensure that you look at our article on Tips to get a 7 in the Math Internal Assessment. Two cars start moving from the same point. 25) Eulers 9 Point Circle. These datasets can easily be found on Gapminder. 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. 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. It is essential that you select the appropriate topic for you that aligns with your interests and you dont pick a topic just because very many people have done it. Share. 7 Harmonic series: Explore why certain notes/chords in music sound dissonant, and others consonant, by looking at the ratios of frequencies between the notes. In the same time b* (1/a +D) cars cross over the crossing. Equation 3: y=sin(739.99/440x)
(This topic is only suitable for IB HL students). With these Topics ensure that you are not heavily reliant on the Physics aspect; put more emphasis on Mathematics. So there we have it: 50 IB Maths IA topic ideas to give you a head-start for attacking this piece of IB coursework! IA Idea 2 - Modeling Statistics Modeling IAs can generally refer to any project where a certain change in statistics is being presented in a visual manner. Rock Paper Scissors: If I played and won with rock already, should I make sure to change what I play this time? 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 4) Whats so special about 277777788888899? Although that might sound easy, thats not always the case! 4) Why e is base of natural logarithm function: A chance to investigate the amazing number e. 5) Fourier Transforms the most important tool in mathematics? For example, Mod 3 means the remainder when dividing by 3. Finally, zoom out and think about the further implications of your study. % So there we have it, a well organized exploration of the idea and IB layout of your Mathematics IA! 8) Finding prime numbers: The search for prime numbers and the twin prime conjecture are some of the most important problems in mathematics. Plus, get practice tests, quizzes, and personalized coaching to help you Bookmark Download. 10 0 obj 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. One travels north at 40 km/h, and the other travels east at 30 km/h. Looking at Figure 3, the population starts out at a little over 100,000 people, and it does not grow much the first year. Using x'(t)=30, y'(t)=40 and the distance of each car after two hours, we obtain: 4. What is the geometric shape of soap bubbles? 5 and 7 are consecutive primes). In this time 1 + a*D pedestrians arrive and then cross. {eq}A = 25 * 55 = 1375 {/eq} square feet. During the reflective stage, connect the results with the initial aims. Get unlimited access to over 84,000 lessons. 5) Knigsberg bridge problem: The use of networks to solve problems. 13) Different number systems Learn how to add, subtract, multiply and divide in Binary. By following this tried and tested structure for your math IA, each student will be able to present their findings consistently and optimally. Ib Math Studies Ia Thesis Example When somebody should go to the ebook stores, search initiation by shop, shelf by shelf, it is truly problematic. It covers what mathematical modeling is as well as different types of models in math. Your report should include afull bibliographywith all sources at the end of the report. The example gives the acceleration of the car and the driver as 80 {eq}m/s^2 {/eq} and the time that both travel as 10 seconds. To unlock this lesson you must be a Study.com Member. The Chinese Remainder Theorem: An insight into the mathematics of number theory, Sum of all positive integers is -1/12? 7) Mbius strip: An amazing shape which is a loop with only 1 side and 1 edge. 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? ScienceFusion Intro to Science & Technology Unit 1.1: What Is Science? Are you getting ready to present your Math IA? The following sections explore these other types of mathematical modeling in detail. and many many more tips and tricks on securing those top marks on our free resources page - just click the 'Maths resources' button! 15. Equation 3: y=sin(659.26/440x)
31) Grahams Number a number so big that thinking about it could literally collapse your brain into a black hole. How long will our forests last? Here are some examples solved using Python. 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. Because the three distances are changing in time, they are functions of t. Differentiate for t the relation obtained above. 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. So there you have it. 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. 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. Using the relation obtained in 2, solve for z'(2). Required fields are marked *. It covers what mathematical modeling is as well as different types of models in math. (1 More IB Past Papers). By doing this, you can determine findings throughout the process. Online Private Tuition: One-on-one support from the comfort of your own home, whenever and wherever you need it. Find out how! IA. A post which looks at the maths behind this particularly troublesome series. Using trignometric graphs but nothing is done with them. Its a HL Math IA. Login. Optimization Problems Steps & Examples | What is Optimization in Calculus? You should include relevant graphs, tables, and diagrams. Tic Tac Toe: What is the optimal strategy in this legendary game? Revision Courses: These offer a helping hand when it matters the most to boost your grades! 14) Circular inversion what does it mean to reflect in a circle? 6) Continued fractions: These are fractions which continue to infinity. Get a cylindrical container (with a valve), fill it with water, release the valve and measure how long it takes for the height of water to reduce to zero. 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. Examples are given. 19) Elliptical Curves how this class of curves have importance in solving Fermats Last Theorem and in cryptography. In order to score in the top range here, make sure your IA is clearly structured. Proving of Fermats little theorem.. It is therefore more complicated than the difference of means test. Using Mathematical Models to Solve Problems, How Mathematical Models are Used in Business, Static Vs Dynamic Simulation in Quantitative Analysis. 7) When do 2 squares equal 2 cubes? Math models can also be used to learn about a system, visualize data, or understand the origins of the system. Knigsberg bridge problem: Using networks to solve problems. 19) The Barnsley Fern: Mathematical Art how can we use iterative processes to create mathematical art? Browse thousands of Internal Assessment, Extended Essay, and TOK examples. For this reason, this theory does not only apply to sound coming to electronic instruments but every kind of instrument. The mathematics of deceit: How con artists use pyramid schemes to get rich quick! 5 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. Complex topics that belong to university level. 11) Mersenne primes: These are primes that can be written as 2^n -1. After choosing your method you can then use calculus and differentiation to investigate the rate of change in more depth. than the discordant notes. Instead of comparing means, youll be comparing proportions. We hope this will give you the push you need to realise your potential and understand complex and unfamiliar mathematics. 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. Math models have been around for centuries, and they can describe everything from moving objects to chemical formulas. 6) Bullet projectile motion experiment using Tracker software to model the motion of a bullet. Game theory as it is easy and overdone. Afterward, calculate the average of all of those proportions for the whole season. Predict how the water is going to come out the cylinder. As with all mathematics, personal involvement by means of practising is best if you want to score highly in your hl syllabus. The evidence here suggests that notes in harmony fit into a mathematical context, whereas discordant notes do not. Example 2 is another example of modeling a system using an equation. We look forward to joining the Lanterna and being part of your success. I started by working out how to model a single note. Mathematical Card Tricks: Look at the probabilities at play in the famous 3 card monte scam. Equation 2: y=sin(554.37/440x)
These waves look very similar to the major chord waves, as only one note has changed; the C# has gone down by a semitone. Login. More poor use of terminology) than the discordant notes. 2, How to come up with an idea or a topic. By following this guide, you'll be able to score highly in your mathematics course. Equation 2: y=sin(523.25/440x)
2/3 could be written as 1/6 + 1/2. 11) Projectile Motion Investigation II. 11 Math and computing. The graph for the minor chord looks like this: (E. 4) Rocket Science and Lagrange Points how clever mathematics is used to keep satellites in just the right place. Probability: Are Oxford and Cambridge biased against state-school applicants? The area of this basement is {eq}A = 50 * 35 = 1750 {/eq} square feet. So this involves you writing down the mathematics on paper to see if your topic will work. 11) Understanding the fourth dimension: How we can use mathematics to imagine (and test for) extra dimensions. IA Review. This chord, like the first inversion, is another different rearrangement of the notes in a major chord. 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. 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