Interesting: The chosen topic needs to be exciting enough to elicit not only your interest but that of your audience. Cracking a Password: How long would it take to be able to correctly guess a password? Subscribe and get the latest IB guides, notes,news, tips and product updates. 52) Have you got a Super Brain? with current laws and regulations, you can unsubscribe at any time by clicking on the link in 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. Try to plot the locus of a sliding ladder. = -1/12 ? For example, Mod 3 means the remainder when dividing by 3. They have data and different comparisons that may be great for you. Exploration into Modelling a Population Pyramid (19/20) Share. Many branches of math and science use mathematical modeling, and equations and graphs are not the only types of math models. IB Math IA Examples and Ideas IA Idea 1 - Modeling Statistics Modeling statistics is a pretty broad concept for an IA, but it can refer to any project where a change in statistics is presented in a visually effective manner. 45) The Mordell Equation. It needs to be independent and unique. 2) Torus solid of revolution: A torus is a donut shape which introduces some interesting topological ideas. It forms an essential part of your research and shows that you fully understand the examples you have included in your analysis. IA Review. It helps to understood the marking criteria before deciding on your topic to ensure you use premium content in your work that can help you score highly. copyright 2003-2023 Study.com. JOIN FOR FREE. Use Figure 2 and help the poor agent pick which house has a basement that will work. This assessment is a great way for students to expand their knowledge and learn valuable skills. 16 Math IA Ideas 37) Generating e through probability and hypercubes. This method is related to the difference of means test but the ANOVA test is involved with testing multiple means. What is the Mordell equation and how does it help us solve mathematical problems in number theory? She currently teaches struggling STEM students at Lane Community College. The IB needs us to do more than just show what weve done. Go back to Example 2 and Figure 2. By year four the town's population will be larger than 1,400,000. For the purpose of this investigation, S will be the . Therefore the graphs are very similar. 1b) The shape of the universe non-Euclidean Geometry is at the heart of Einsteins theories on General Relativity and essential to understanding the shape and behavior of the universe. Pythagorean Theorem Diagram & Model | Why is the Pythagorean Theorem Important? This involves making predictions about things you may be interested in, and then finding ways to manipulate the problem, formula, or question to encompass those areas. Instead of comparing means, youll be comparing proportions. All other trademarks and copyrights are the property of their respective owners. By doing this, you can determine findings throughout the process. Math models can also be used to learn about a system, visualize data, or understand the origins of the system. Youll have to plot a lot of curves. Nonetheless, if you feel like you want to search for your topics, an excellent place to start would be the IB Mathematics textbook. Browse thousands of Internal Assessment, Extended Essay, and TOK examples. Fourier transforms have an essential part to play in modern life and are one of the keys to understanding the world around us. Example 2 is another example of modeling a system using an equation. We also have similar ideas for Biology, Chemistry, Economics, History, Physics, TOK. Probability: Are Oxford and Cambridge biased against state-school applicants? I started by working out how to model a single note. Years are on the horizontal axis and population is on the vertical axis. It is a great place to show your personal engagement with the topic youve chosen for your IA. Recently, computer modeling has become a popular method for understanding large data sets and for running statistical analysis such as using Bayes' formula. 29) The Riemann Hypothesis one of the greatest unsolved problems in mathematics worth $1million to anyone who solves it (not for the faint hearted!). What if the client wanted the basement to have a width of 55 ft and be at least 1750 square feet? Although students tend to focus on the complexity of math that their exploration demonstrates, a full 4 points are rewarded for the clarity of your explanations and structure. Did your learning affect your life in any way, or how might it affect the lives of others? Monty Hall problem: How does Bayesian probability work in this real-life example, and can you add a layer of complexity to it? How will the system change? The intervals are known as a perfect fourth and perfect fifth are, as the name suggests, considered to be the most harmonic intervals. The challenge is to see how many different shapes can be made with a given number of squares and how can they fit together? So lets say you decide to assess Lewis Hamiltons speed at a certain velocity of a given time. (1 More IB Past Papers). I will now look at different chords to see if this conjecture holds true. 7) Patterns in Pascals triangle: There are a large number of patterns to discover including the Fibonacci sequence. endobj These waves look very similar to the major chord waves, as only one note has changed; the C# has gone down by a semitone. Updated: 01/07/2022 Table of Contents. Simona received her PhD in Applied Mathematics in 2010 and is a college professor teaching undergraduate mathematics courses. How can we find the area of any polygon? 6) Handshake problem: With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? Equation 4: y=sin2x. 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. The examiner will be looking at the quality of the idea and the body of work in relation to the assessment criteria. In this case, it is about the investigation of and correlation between mathematical concepts. Figure 3: A graph is a visual representation of a system. Can you find the pattern behind it? dS/dt = -2.14 I S. dI/dt = 2.14 I S - 0.14 I. dR/dt = 0.14 I. Exemplars. lanchester s combat model ia maths sl 7 exploring an alternative method of calculating the volume of a star More computing led investigations. How strange things happen when we start to manipulate divergent series. 14 Advice from an IB Examiner on topics you should avoid. 17) Graphing Stewie from Family Guy. 6) Batman and Superman maths how to use Wolfram Alpha to plot graphs of the Batman and Superman logo. Try refreshing the page, or contact customer support. 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? If you find yourself struggling with anything from finding a topic to writing your evaluation, here are the answers to 5 of the most frequently asked questions about the econ IAs, answered by expert IB graduates. 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. In this blog post well go through our top 3 tips for getting motivated again! In this video. 11) Projectile Motion Investigation II. 7) Sierpinksi triangle: a fractal design that continues forever. xKO@+Mtt Can we use a mixture of pure maths and computing to solve this problem? View Math IA Final.docx from MATH, HL at GEMS Wellington Silicon Oasis. 49) Rational approximations to irrational numbers. 2) Gravity, orbits and escape velocity Escape velocity is the speed required to break free from a bodys gravitational pull. endobj 40) Stellar Numbers This is an excellent example of a pattern sequence investigation. 1) Radiocarbon dating understanding radioactive decay allows scientists and historians to accurately work out somethings age whether it be from thousands or even millions of years ago. The following graph demonstrates how this chord travels through the air: Equation 1: y=sinx
In order to score in the top range here, make sure your IA is clearly structured. Are you getting ready to present your Math IA? 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. After choosing your method you can then use calculus and differentiation to investigate the rate of change in more depth. {eq}A = 25 * 55 = 1375 {/eq} square feet. Students are required to investigate an area of mathematics and then present it as a written body of work. Erroneous notation, it should be 554.37x/440). This is a function which is used in Quantum mechanics it describes a peak of zero width but with area 1. 10) Mathematical card tricks investigate some maths magic. 5 and 7 are consecutive primes). Erroneous notation, it should be 554.37x/440) I altered the wavelengths, or frequencies, of the graphs by changing the coefficient of x. With 2 candidates this is logical, but what if they have more than 2? This particular problem was solved by Euler. Browse thousands of Internal Assessment, Extended Essay, and TOK examples. 9) Optimization of area an investigation. MATH, ziadpike. (B. 24) A geometric proof for the arithmetic and geometric mean. How fast are the car and driver going when the driver stops pushing the gas pedal to the floor? 11) Flatland by Edwin Abbott This famous book helps understand how to imagine extra dimension. So they have data on very many variables and it may be worthwhile to check on them. In addition to a bibliography at the end, you must acknowledge all direct quotes that you use throughout your essay. You can check whether there is a significant difference in the salary of someone who studied in a community college and one who went to an Ivy League school. 1. 5) Fourier Transforms the most important tool in mathematics? It covers what mathematical modeling is as well as different types of models in math. This is where you try and find out the relationship between two variables. 3) Galileo: Throwing cannonballs off The Leaning Tower of Pisa Recreating Galileos classic experiment, and using maths to understand the surprising result. Registration confirmation will be emailed to you. Figure 2: Use the length and width for each basement to find each area. 10 Topology and networks. You should do some research before you embark on this Math IA Idea and learn everything you need to know. Your email address will not be published. JOIN FOR FREE . The body of your IA exploration should focus on the particular topic you have chosen to investigate and the relevant mathematical material that will address the intended aim of the work. (C. Enrolling in a course lets you earn progress by passing quizzes and exams. 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. Can you find the loop of infinite sadness? This evidence would suggest that notes which are traditionally considered to be in harmony are mathematically neater than those that are not in harmony. 10) Pythagorean triples: A great introduction into number theory investigating the solutions of Pythagoras Theorem which are integers (eg. These are some of the best Math IA Topics. 48) When do 2 squares equal 2 cubes? They are useful for modelling more complex shapes. What is the next best alternative if this is not viable? Knowing how youre being graded will make it much easier to make sure you're ticking all the boxes. At what rate is the distance between the cars increasing two hours later? Use Figure 4 to help the mayor find out how fast her town is growing. 17) Chinese remainder theorem. Nice to see you here. poor use of terminology)as with the other chords. I decided to use Middle A, I altered the wavelengths, or frequencies, of the graphs by changing the coefficient of x. The table of values for this chord shows that my original conjecture does not hold true for all chords. Explore this fascinating physics phenomenon through the world of sequences and series. One travels north at 40 km/h, and the other travels east at 30 km/h. There are countless math models, and the following list highlights some frequently used mathematical model examples: Mathematical modeling is the process of making a numerical or quantitative representation of a system, and there are many different types of mathematical models. Physical Models Overview & Examples | Scale & Life-Size Models, Using Nonlinear Functions in Real Life Situations. Monty Hall problem: how long would it take to be in harmony suggest notes! 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