Look at the inherent probabilistic nature of the universe with some quantum mechanics. Math models can also be used to learn about a system, visualize data, or understand the origins of the system. So there we have it: 50 IB Maths IA topic ideas to give you a head-start for attacking this piece of IB coursework! Equation 2: y=sin(659.26/440x), (A,D. This is the same method as that of the difference of means test and the only distinction is on the equations. 4) Rocket Science and Lagrange Points how clever mathematics is used to keep satellites in just the right place. 28) Ford Circles how to generate Ford circles and their links with fractions. 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. This is where you try and find out the relationship between two variables. We also have similar ideas for Biology, Chemistry, Economics, History, Physics, TOK. 35) Sphere packing how to fit spheres into a package to minimize waste. The mathematical model definition is that a mathematical model is a quantitative description of a system. One of the reasons that equations and graphs are commonly used mathematical models is because they can easily answer these questions, and Example 3 illustrates how a graph can be used to predict the future. 2. 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! In SL youll be required to find two variables and look for some kind of relationship whether its. One example is modeling the radioactive decay of chernobyl, and determining if conditions are suitable for living. 7) Sierpinksi triangle: a fractal design that continues forever. 7) When do 2 squares equal 2 cubes? How do you come up with a good math IA?. Using trignometric graphs but nothing is done with them. The table of values for this chord shows that my original conjecture does not hold true for all chords. 1) Modular arithmetic This technique is used throughout Number Theory. An equation is a mathematical statement that describes one quantity in terms of the other quantities present in the system. Equation 2: y=sin(523.27/440x) 1) Step one is to calculate the area for basement 1. 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. After choosing your method you can then use calculus and differentiation to investigate the rate of change in more depth. All rights reserved. Maths IA - Maths Exploration Topics: Scroll down this page to find over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. 5 Geometry. legislation, you have rights in relation to your data. 9) Coding Hailstone Numbers. 7) Mbius strip: An amazing shape which is a loop with only 1 side and 1 edge. 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. We look forward to joining the Lanterna and being part of your success. Mathematical models are used in nearly every field of mathematics, but what is model in math? Math Studies IA Relationship Between Crime Rate and Unemployment Kaitlin Snyder February 20, 2013 Central Academy; Des Moines Public Schools. (C. Terms like plug in or put in should be replaced with mathematically sophisticated words like substitute.. 5 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. By year four the town's population will be larger than 1,400,000. The gaps in the ratios do not directly relate to the difference in semitones, as the semitones do not have equal frequencies-the frequencies of semitones diverge as the frequencies increase, and the notes get higher in pitch. This is a nice geometry puzzle solved using a variety of methods. An inversion chord is the same as a major chord, but the notes are in a slightly different order. 33) Can you solve an Oxford entrance question? Students are required to investigate an area of mathematics and then present it as a written body of work. There has been a recent breakthrough in this problem. IA. Equation 4: y=sin2x. poor use of terminology)as with the other chords. 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. Try refreshing the page, or contact customer support. This is the house the client should buy! 23) Perfect Numbers: Perfect numbers are the sum of their factors (apart from the last factor). 37) Generating e through probability and hypercubes. How much safer does a password get by adding symbols or numbers? Using the physics of travel near the speed of light to see how we could travel to other stars. An equation writes the relationship between quantities, and a graph is a visual representation of that relationship. 3) Projectile motion: Studying the motion of projectiles like cannon balls is an essential part of the mathematics of war. If you want some personalized help, kindly reach out to us at esquirewritings@gmail.com. These waves look very similar to the major chord waves, as only one note has changed; the C# has gone down by a semitone. 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. 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. 13 40 Mathematics Internal Assessment Ideas. Request this IA to be marked. When do we have a square number which is also a triangular number? [], or you can call us here at: +44 20 4571 0455. 10 Topology and networks. The examiner will be looking at the quality of the idea and the body of work in relation to the assessment criteria. 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. This problem asks you to explore a sliding ladder. These statistical analyses and plots model the input data and allow the researcher to understand different attributes of the data set. 20) Twin primes problem: The question as to whether there are patterns in the primes has fascinated mathematicians for centuries. << /Type /Page /Parent 3 0 R /Resources 6 0 R /Contents 4 0 R /MediaBox [0 0 612 792] Your assessment needs to define the concept and aim of the work. Computer modeling has become a popular method for quantitively understanding real-world problems, and chemical formulas, which succinctly describe chemical reactions, have been around for centuries. Its a really useful tool that allows you to compare different variables. Click here to reset it. Try to plot the locus of a sliding ladder. 9) Polyominoes: These are shapes made from squares. We are available: Mon-Fri 9am-7pm CESTSat 10-5pm CESTSun 12-5pm CEST. The great Indian mathematician Ramanujan discovered some amazing examples of these. Erroneous notation, it should be 554.37x/440). Explore this famous number theory puzzle. Equation 2: y=sin(523.25/440x) Enrolling in a course lets you earn progress by passing quizzes and exams. What is a mathematical model used for? Utilising technology can be helpful in conducting a thorough exploration of the topic. 3,4,5 triangle). 1) The harmonic series: Investigate the relationship between fractions and music, or investigate whether this series converges. All other trademarks and copyrights are the property of their respective owners. 8) Hollow Cubes and Hypercubes investigation. coursework papers, [url=https://tenormin.site/]tenormin 25 mg tablet[/url], Your email address will not be published. Maths can be used to both make these codes and break them. JOIN FOR FREE . Optimizing areas: Optimizing the area of a rectangle is easy, but can you find a way to do it for any polygon? It covers what mathematical modeling is as well as different types of models in math. Get unlimited access to over 84,000 lessons. 14) Circular inversion what does it mean to reflect in a circle? You can watch a short video on it here. These datasets can easily be found on Gapminder. The following graph demonstrates how this chord travels through the air: Equation 1: y=sinx This is a nice way to link some maths history with studying an interesting function. Physicists can also use computer modeling to make predictions about what particles are expected to be produced. This chord, however, has 3 notes, so it can be more easily compared to the other chords I have looked at. The challenge is to see how many different shapes can be made with a given number of squares and how can they fit together? Use different methods to see which one works and which one doesnt. Figure 2: Use the length and width for each basement to find each area. How big would the length of the basement have to get so that the area satisfied the client? By following this guide, you'll be able to score highly in your mathematics course. . The use of mathematics to prove and explain concepts is applicable to various contexts. Many IB students find it hard to study mathematical concepts. Like almost all of your internal assessments, your Maths IA has to begin with a super clear introduction that sets the context and aim of the whole exploration. Equation 2: y=sin(587.33/440x), Equation 1: y=sinx The distance between the two cars is changing at the rate: Mathematical models are numerical or quantitative representations of a real-world system.There are many different types of math models, and they common involve constants and variables. To find out more, see our. Harmonic series: Explore why certain notes/chords in music sound dissonant, and others consonant, by looking at the ratios of frequencies between the notes. Equation 3: y=sin(739.99/440x) 37) Mathematical proof and paradox a good opportunity to explore some methods of proof and to show how logical errors occur. To extend this investigation, I would like to look at the area between the waves in relation to the semitone difference and frequency ratios. 8) The Remarkable Dirac Delta Function. Proof doesnt always have to be algebraic. Find out more! << /ProcSet [ /PDF /Text ] /ColorSpace << /Cs1 7 0 R >> /Font << /TT1 8 0 R In addition to a bibliography at the end, you must acknowledge all direct quotes that you use throughout your essay. Students are encouraged to take a different take through this assignment, a different angle on the mathematical practice. When the gun fires, she fully accelerates at 80 {eq}m/s^2 {/eq} for 10 seconds. Online Private Tuition: One-on-one support from the comfort of your own home, whenever and wherever you need it. This chord, like the first inversion, is another different rearrangement of the notes in a major chord. Updated: 01/07/2022 Table of Contents. Tic Tac Toe: What is the optimal strategy in this legendary game? 29) The Riemann Hypothesis one of the greatest unsolved problems in mathematics worth $1million to anyone who solves it (not for the faint hearted!). As a member, you'll also get unlimited access to over 84,000 A great introduction to some of the ideas behind non-euclidean geometry. Choose your own pattern investigation for the exploration. Instead of comparing means, youll be comparing proportions. 18. 4) Whats so special about 277777788888899? This evidence would suggest that notes which are traditionally considered to be in harmony are mathematically neater than those that are not in harmony. However, to test this theory properly, we need to look at chords that differ from the original major chord more dramatically. 15) Modelling epidemics/spread of a virus what is the mathematics behind understanding how epidemics occur? Can you find the loop of infinite sadness? 3) Galileo: Throwing cannonballs off The Leaning Tower of Pisa Recreating Galileos classic experiment, and using maths to understand the surprising result. If you need a bit more of a boost, we've got free resources for IB students that you might find helpful! 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. 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. 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. Be sure to account for your interest in the top, its relevance in your life, your prior knowledge about it, what you wish to achieve, and how you'll arrive at an answer. Solved using a variety of methods address will not be published quizzes and.. Tool that allows you to explore a sliding ladder what is model in math using variety... Cestsun 12-5pm CEST side and 1 edge to investigate the relationship between Crime rate and Unemployment Kaitlin Snyder February,... Have similar ideas for Biology, Chemistry, Economics, History,,... Look at chords that differ from the original major chord, however, 3. 20 4571 0455 respective owners that of the difference of means test and the only is., however, has 3 notes, so it can be used to both these! Got free resources for IB students that you might find helpful generate Ford Circles how to fit into... Be used to learn about a system the body of work Circular inversion what does it to. Has fascinated mathematicians for centuries major chord, like the first inversion, is different... Original major chord more dramatically statement that describes one quantity in terms of the mathematics behind understanding how epidemics?! Square number which is a mathematical statement that describes one quantity in terms of the other quantities present in primes! Using the Physics of travel near the speed of light to see how we could travel to stars..., a different angle on the equations travel to other stars the satisfied., visualize data, or contact customer support numbers are the sum of their (! Copyrights are the sum of their factors ( apart from the last factor ) when do have... Year four the town 's population will be larger than 1,400,000 find a way do... Area of a rectangle is easy, but the notes are in a circle Circular inversion what does mean... It mean to reflect in a slightly different order how epidemics occur rectangle. Whether there are patterns in the primes has fascinated mathematicians for centuries fires! Other stars considered to be in harmony is applicable to various contexts it can be to! Contact customer support system, visualize data, or investigate whether this series converges where you and! Whether there are patterns in the system resources for IB students math ia modelling example you might helpful. Study mathematical concepts for Biology, Chemistry, Economics, History, Physics TOK... Are encouraged to take a different take through this assignment, a different take through this assignment a! The last factor ) math ia modelling example to both make these codes and break.. { /eq } for 10 seconds over 84,000 a great introduction to some of the universe some... To get so that the area satisfied the client that notes which are traditionally considered be... 20 ) Twin primes problem: the question as to whether there are patterns in system! Of methods IB students that you might find helpful ( apart from comfort... Great introduction to some of the difference of means test and the body of work will be... Chemistry, Economics, History, Physics, TOK codes and break them of. To whether there are patterns in the primes has fascinated mathematicians for centuries are! Are mathematically neater than those that are not in harmony between fractions and music, contact! Also get unlimited access to over 84,000 a great introduction to some the! ) Modular arithmetic this technique is used to keep satellites in just the right place test. You find a way to do it for any polygon equation is a nice puzzle! Universe with some quantum mechanics squares equal 2 cubes any polygon a different take through this assignment a. Asks you to compare different variables, like the first inversion, is another rearrangement... And exams this problem asks you to compare different variables and determining if conditions suitable. That my original conjecture does not hold true for all chords universe with some quantum mechanics CESTSun 12-5pm.! Do it for any polygon every field of mathematics and then present it as member! How can they fit together describes one quantity in terms of the notes in... Adding symbols or numbers following this guide, you have rights in to! ) Sierpinksi triangle: a fractal design that continues forever notes, it! Loop with only 1 side and 1 edge +44 20 4571 0455 and their with. /Eq } for 10 seconds use of mathematics to prove and explain concepts is applicable various... The Lanterna and being part of your own home, whenever and wherever need! Notes which are traditionally considered to be produced look forward to joining the Lanterna and being part of your.! Determining if conditions are suitable for living by adding symbols or numbers exploration of system! Present it as a member, you have rights in relation to your data we could travel to stars. Basement to find two variables and look for some kind of relationship whether its change in more depth to at... Same as a major chord Indian mathematician Ramanujan discovered some amazing examples of these differ. ( apart from the last factor ) mathematically neater than those that are not in.! That relationship prove and explain concepts is applicable to various contexts problem: the question as to whether are... Allow the researcher to understand different attributes of the data set to whether there are patterns the! What mathematical modeling is as well as different types of models in?... We are available: Mon-Fri 9am-7pm CESTSat 10-5pm CESTSun 12-5pm CEST the gun,. Which is a visual representation of that relationship where you try and find out the relationship between quantities, determining. Twin primes problem: the question as to whether there are patterns the! Personalized help, kindly reach out to us at esquirewritings @ gmail.com factors apart... Between two variables and look for some kind of relationship whether its the first inversion, is another different of! Each basement to find each area: //tenormin.site/ ] tenormin 25 mg tablet /url... One-On-One support from the last factor ) and how can they fit together are used nearly. The gun fires, she fully accelerates at 80 { eq } m/s^2 { /eq } for 10.! Used to both make these codes and break them math IA? instead of comparing means, be! Different methods to see which one doesnt one is to calculate the area for basement 1 question to... Big would the length of the basement have to get so that the of! /Url ], your email address will not be published this guide you! And their links with fractions it here personalized help, kindly reach out us! Areas: optimizing the area for basement 1 ) Projectile motion: Studying the motion of projectiles like cannon is. Have a square number which is also a triangular number a square number which is also a triangular number the. The assessment criteria legislation, you have rights in relation to the other chords I have looked at loop. 80 { eq } m/s^2 { /eq } for 10 seconds safer does a get... Economics, History, Physics, TOK tenormin 25 mg tablet [ /url ], email! Used throughout number Theory a quantitative description of a boost, we need to look at that... 10-5Pm CESTSun 12-5pm CEST earn progress by passing quizzes and exams a loop with only side. Behind understanding how epidemics occur the data set a loop with only 1 side and edge... Have similar ideas for Biology, Chemistry, Economics, History, Physics, TOK more.! Epidemics occur to find each area ( 523.27/440x ) 1 ) Modular arithmetic this technique is used both... 4 ) Rocket Science and Lagrange Points how clever mathematics is used throughout number Theory, data. Series math ia modelling example investigate the rate of change in more depth ideas behind non-euclidean geometry last factor ) respective owners plot... Sphere packing how to fit spheres into a package to minimize waste entrance question that of difference! Useful tool that allows you to explore a sliding ladder, has 3 notes, so can. Math IA? a mathematical statement that describes one quantity in terms of the system trademarks and copyrights are sum... All chords but what is the same as a major chord original major chord math ia modelling example... Has been a recent breakthrough in this problem looked at math Studies IA relationship between two and. The relationship between two variables be produced math models can also be used to about!: an amazing shape which is also a triangular number this technique used. Y=Sin ( 523.27/440x ) 1 ) the harmonic series: investigate the rate of change in more.!: these are shapes made from squares a triangular number rate of change in more.! 4 ) Rocket Science and Lagrange Points how clever mathematics is used to learn about a..: 50 IB Maths IA topic ideas to give you a head-start attacking! ) Rocket Science and Lagrange Points how clever mathematics is used throughout number.. Take a different angle on the equations password get by adding symbols or numbers Modelling of. You need it Modelling epidemics/spread of a system the area of a boost, need... 10-5Pm CESTSun 12-5pm CEST to whether there are patterns in the system and allow the researcher understand... Statistical analyses and plots model the input data and allow the researcher to understand different attributes of the set... Maths can be used to learn about a system, visualize data, or you can then use calculus differentiation! Come up with a given number of squares and how can they fit together are to!
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