Equation 4: y=sin2x, (A. Choose your own pattern investigation for the exploration. 1678+ Video tutorials, 1226+ PDF IB Resources, 195+ Sample IAs, 148+ EEs, 8777+ Sample questions, 653+ quizzes, IB 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. However, there is not necessarily a difference in chords that are in harmony and discordant chords. This produces the following graph: Using an A major chord, I can look at the relationship between the notes in a major chord. There is a $1 million prize for solving the Riemann Hypothesis and $250,000 available for anyone who discovers a new, really big prime number. IA Review. Copyright 2023 Esquire Writings Blog | Powered by Astra WordPress Theme. Gain a deeper understanding of chaos theory with this investigation. We have a complete cycle of time 1/a + D+T. 38) Friendly numbers, Solitary numbers, perfect numbers. We look forward to joining the Lanterna and being part of your success. For example, recall the kinematic equation from Example 1. [], 100 IB Economics IA Article Suggestions Article by: Liam Travers Every economics teacher ever says that the key to writing a good Economics IA is finding a good article. This is why we allow the book compilations in this website. This is the house the client should buy! q&}@{S$*!6g)pOK`/N"AbhIrW1Xllkz;)F F!vtPp7XQ>lTk<3D~)xGZ_L29=`0GP?w Math solutions -. Get unlimited access to over 84,000 lessons. Equation 2: y=sin(523.25/440x) ScienceFusion Intro to Science & Technology Unit 1.1: What Is Science? Putting it all together gives: {eq}v_f = v_i + at {/eq} -> {eq}v_f = 0 + 80*10 {/eq}. 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? Predict how the water is going to come out the cylinder. At what rate is the distance between the cars increasing two hours later? This is a nice geometry puzzle solved using a variety of methods. This mathematical equation has been described as the most important in all of physics. 12) Projectile Motion III: Varying gravity. Many IB students find it hard to study mathematical concepts. 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. = -1/12 ? Relationships: Do BMI ratings and country wealth share a significant relationship? 24) A geometric proof for the arithmetic and geometric mean. Equation 3: y=sin(739.99/440x) An interesting insight into the mathematical field of Number Theory. Youve likely spent weeks relaxing and thinking about anything other than school! 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. By following this tried and tested structure for your math IA, each student will be able to present their findings consistently and optimally. Can we use a mixture of pure maths and computing to solve this problem? Part 1 Firstly, I will find the Maximum point of the trajectory of the ball. JOIN FOR FREE. The following ' SUVAT' displacement formula and the Kinematics initial velocity formulae will be used as a medium. Again using an A chord, I have modeled a minor chord and looked at its features. These statistical analyses and plots model the input data and allow the researcher to understand different attributes of the data set. A nice starting point for students good at coding who want to put these skills to the test mathematically. For more personal engagement, feel free to reach out to your instructor or tutor. (16 More IB Resources), See They have data and different comparisons that may be great for you. Figure 3: A graph is a visual representation of a system. You can compare income and life expectancy in a country. % In addition to a bibliography at the end, you must acknowledge all direct quotes that you use throughout your essay. The intervals are known as a perfect fourth and perfect fifth are, as the name suggests, considered to be the most harmonic intervals. 42) Normal Numbers and random number generators what is a normal number and how are they connected to random number generators? How big would the length of the basement have to get so that the area satisfied the client? 11) Flatland by Edwin Abbott This famous book helps understand how to imagine extra dimension. More poor use of terminology) than the discordant notes. 1. Pages 15. 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. This is a puzzle that was posed over 1500 years ago by a Chinese mathematician. 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. Equation 4: y=sin2x. I decided to use Middle A(A. Why do magic squares work? So there you have it. 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. Equation 1: y=sinx Understanding What Math IA is All About Students are required to investigate an area of mathematics and then present it as a written body of work. Katherine has a bachelor's degree in physics, and she is pursuing a master's degree in applied physics. 41) Chaos and strange Attractors: Henons map. 45) The Mordell Equation. stream In order to get the most accurate graph, I used the original frequencies of the other notes3. 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. underdefined term and not clear to non-musicians), as it has an exact frequency of 440 Hz2, and is the note that Western orchestras tune to. 11) Zenos paradox of Achilles and the tortoise: How can a running Achilles ever catch the tortoise if in the time taken to halve the distance, the tortoise has moved yet further away? Maths - SL. 67 lessons. Try to plot the locus of a sliding ladder. Similarly, it could be that the third gap is double the first or second gap. Recently, computer modeling has become a popular method for understanding large data sets and for running statistical analysis such as using Bayes' formula. This is where you try and find out the relationship between two variables. What conclusions did you reach, and did you succeed in exploring the aim that you set out at the beginning of the Math IA! 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. The soundwaves produced by oscillators are in the same form as notes produced by mechanical instruments, so the same note ultimately sounds the same, or very similar, to our ear. It should show personal engagement with the topic at hand. The picky client needs the basement to have a specific area, and the area of a rectangle can be modeled mathematically with the equation {eq}A = lw {/eq} where A stands for area, l stands for length, and w stands for width. In order to find it, the initial velocity (v) and the angle ( , from the horizontal, at which the ball was kicked at, need to be calculated. The use of mathematics to prove and explain concepts is applicable to various contexts. %PDF-1.3 Using Mathematical Models to Solve Problems, How Mathematical Models are Used in Business, Static Vs Dynamic Simulation in Quantitative Analysis. Here are some examples solved using Python. 17) Chinese remainder theorem. Go back to Example 2 and Figure 2. IB Math IA: Modelling a Skateboard Ramp Mr. Flynn IB 3.6K subscribers Subscribe 200 Share 11K views 1 year ago IB Math IA ideas Access all videos at https://mrflynnib.com . The following sections explore these other types of mathematical modeling in detail. poor use of terminology)as with the other chords. Models for the height of water in a cylindrical container, Advice from an IB Examiner on topics you should avoid, Differential Equations-the use of differential equations to model things in engineering or physics (ensure you do not talk much about the science. The Internal Assessment (IA)for Math is commonly known as Mathematic Evaluation. Equation 3: y=sin(659.26/440x) 17) Graphing Stewie from Family Guy. The poor mayor does indeed have a problem! 52) Have you got a Super Brain? The ratio of the gaps is now 2:3:5. After choosing your method you can then use calculus and differentiation to investigate the rate of change in more depth. ScienceFusion Intro to Science & Technology Unit 1.2: Scientific Investigation, ScienceFusion Intro to Science & Technology Unit 1.3: Scientific Knowledge, ScienceFusion Intro to Science & Technology Unit 1.4: Science and Society, ScienceFusion Intro to Science & Technology Unit 2.1: Representing Data, ScienceFusion Intro to Science & Technology Unit 2.2: Scientific Instruments and Measurement, Physical Models: Scale Models & Life-Size Models, Conceptual Models: Definition & Characteristics, ScienceFusion Intro to Science & Technology Unit 3.1: The Engineering Design Process, ScienceFusion Intro to Science & Technology Unit 3.2: Risk/Benefit Analysis, ScienceFusion Intro to Science & Technology Unit 3.3: Systems, ScienceFusion Intro to Science & Technology Unit 3.4: Materials Science, ScienceFusion Intro to Science & Technology Unit 3.5: Bioengineering, ScienceFusion Intro to Science & Technology Unit 3.6: Engineering and Society, UExcel Weather and Climate: Study Guide & Test Prep, Study.com ACT® Test Prep: Practice & Study Guide, FTCE Middle Grades General Science 5-9 (004) Prep, Writing & Evaluating Real-Life Linear Models: Process & Examples, How Mathematical Models are Used in Social Science, Planning a Mathematics Lesson to Align with TEKS, How Mathematical Models are Used in Science, Mathematical Modeling - Hardy-Weinberg: Biology Lab, Nutrients of Concern: Definition & Dietary Guidelines, Reading & Interpreting Ingredient Lists on Food Labels, Phytosterols: Definition, Function & Impact on Health, Role of Lipids in Developing Cardiovascular Disease, Working Scholars Bringing Tuition-Free College to the Community, relating quantities in real-world situations. 36) Can we prove that 1 + 2 + 3 + 4 . . endobj Enrolling in a course lets you earn progress by passing quizzes and exams. 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. It should display a degree of creativity in that you present mathematical ideas in your own way and explore the topic from various different perspectives. Are you getting ready to present your Math IA? 6) Handshake problem: With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? This investigates a generalized version of projectile motion discover what shape is created. 29) Classical Geometry Puzzle: Finding the Radius. 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. 32) RSA code the most important code in the world? Sample Math IA. The first criterion is about the presentation, with the aim of assessing the general organization and coherence of your IA. ~gv;pg9;{eF4"_=}GiRpfg)ZS-7q-25+0Zj9Ga!Q }?Vr / =\KV^vn519= r>W3?iLLJN3==TGfbFx( {t,AcmXEHf*0|%]x#Y/5Ia'r0?v>c-orGysxuJ.OFCQeG`n)CC Q`;|':OO/Vk!&rgXC`ERY). 2) Torus solid of revolution: A torus is a donut shape which introduces some interesting topological ideas. Exemplars. I'll add the moderated mark sometime. 5) Knigsberg bridge problem: The use of networks to solve problems. 5. 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. So this involves you writing down the mathematics on paper to see if your topic will work. Alongside the criteria, samples of the students work (oral performances, portfolios, lab reports, and essays) are also submitted to the IB for the final grade. The average total flow of pedestrians and cars is then given by: If we take (for example) a = , b = 10, T = 1 then a plot of F as a function of D is given below: 47) Hollow cubes and hypercubes investigation. 16) Hyperbolic functions These are linked to the normal trigonometric functions but with notable differences. 5 0 obj 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. 8) Squaring the circle: This is a puzzle from ancient times which was to find out whether a square could be created that had the same area as a given circle. Its a HL Math IA. This will help to keep your data analysis focused. This chord is not directly comparable to the other chords, as it does not have 3 notes like the others. 4) Genetics Look at the mathematics behind genetic inheritance and natural selection. newsletters and promotional offers. Example 2 is another example of modeling a system using an equation. How can we find the area of any polygon? I also would have liked to try to find a mathematical formula connecting the number of semitones to the frequency ratios. An essential component of JPEG, DNA analysis, WIFI signals, MRI scans, guitar amps find out about the maths behind these essential technologies. A chemical formula is a mathematical model that relates the relative amounts of composite chemicals in a molecule. 13 chapters | Use computer graphing to investigate. The twin prime conjecture states that there are infinitely many consecutive primes ( eg. 14 Advice from an IB Examiner on topics you should avoid. Look at how infectious Ebola really is. Simplifying this expression gives the final answer of {eq}v_f = 800 {/eq} m/s. How long will our forests last? One travels north at 40 km/h, and the other travels east at 30 km/h. All other trademarks and copyrights are the property of their respective owners. 3. Afterward, calculate the average of all of those proportions for the whole season. According to student reviews, IB Maths is a struggle for many students working towards getting their diplomas. Analysing Data: In the 200 meter dash, is there an advantage to a particular lane in track? The evidence here suggests that notes in harmony fit into a mathematical context, whereas discordant notes do not. You can watch a short video on it here. /TT2 9 0 R >> >> I started by working out how to model a single note. 41) Arithmetic number puzzle It could be interesting to do an exploration where you solve number problems like this one. Although that might sound easy, thats not always the case! An example of modeling is presenting the rate at which a country's population changes relative to external factors. 18) Hyperbolic geometry how we can map the infinite hyperbolic plane onto the unit circle, and how this inspired the art of Escher. 12) The Riemann Sphere an exploration of some non-Euclidean geometry. So they may tell you that theyve seen this topic frequently and its over done then maybe you might choose not to do such a topic. 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. In this blog post well go through our top 3 tips for getting motivated again! Math models can also be used to learn about a system, visualize data, or understand the origins of the system. legislation, you have rights in relation to your data. Therefore the graphs are very similar. endobj endobj Look at the inherent probabilistic nature of the universe with some quantum mechanics. Exemplars. Lets take a look at the criteria for your Math IA. To extend this investigation, I would like to look at the area between the waves in relation to the semitone difference and frequency ratios. Topics that rely more on natural sciences such as physics and put less emphasis on Math. Monty Hall problem: How does Bayesian probability work in this real-life example, and can you add a layer of complexity to it? Equation 3: y=sin(698.46/440x)(Incorrect value(698.46) compared with the table) 1) The Van Eck Sequence The Van Eck Sequence is a sequence that we still dont fully understand we can use programing to help! With these Topics ensure that you are not heavily reliant on the Physics aspect; put more emphasis on Mathematics. 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. 10) Tangrams: Investigate how many different ways different size shapes can be fitted together. Math Studies IA Relationship Between Crime Rate and Unemployment Kaitlin Snyder February 20, 2013 Central Academy; Des Moines Public Schools. lanchester s combat model ia maths sl 7 exploring an alternative method of calculating the volume of a star It solves about 90% as many problems as real kids: a small sample of 9-12 year olds scored 60% on a test from our dataset, while our system scored 55% on those same problems. 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. 1) The Monkey and the Hunter How to Shoot a Monkey Using Newtonian mathematics to decide where to aim when shooting a monkey in a tree. 34) Cesaro Summation: Does 1 1 + 1 1 = 1/2?. 1a) Non-Euclidean geometries: This allows us to break the rules of conventional geometry for example, angles in a triangle no longer add up to 180 degrees. 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. How did Galileo achieve his breakthrough understanding of gravity? If any points are chosen at random in a square what is the expected distance between them? Example 1: Use the kinematic equation {eq}v_f = v_i + at {/eq} where {eq}v_f {/eq} means final velocity, {eq}v_i {/eq} means initial velocity, a stands for acceleration, and t stands for time to answer the following question: A race car driver sits at the starting line. 7) Mbius strip: An amazing shape which is a loop with only 1 side and 1 edge. promotional emails that we send to you. I would definitely recommend Study.com to my colleagues. This assessment is a great way for students to expand their knowledge and learn valuable skills. Exemplars. The examiner will be looking at the quality of the idea and the body of work in relation to the assessment criteria. copyright 2003-2023 Study.com. 35) Sphere packing how to fit spheres into a package to minimize waste. Will my probability of winning drastically increase by some move that I can make? ie 6 is a perfect number because 1 + 2 + 3 = 6. Mathematics SL and HL teacher support material 1 Example 4: Student work Modelling musical chords using sine waves Introduction From the stimulus word "Harmony", I chose to look at the transmission of sound waves in music. It is about evaluating the research to pick up on all evidence that goes beyond what a typical mathematical test would. I will now look at different chords to see if this conjecture holds true. This problem can be modeled with the equation {eq}A = l*55 {/eq}, and Figure 3 illustrates this problem with the length on the horizontal axis and area on the vertical axis. Explore this famous number theory puzzle. 6) Square Triangular Numbers. 15 Closing. We hope this will give you the push you need to realise your potential and understand complex and unfamiliar mathematics. Math IA Topic Examples and Ideas. To calculate the car and driver's final speed, all that is left to find is their initial speed, and since the car and driver begin at rest, {eq}v_i = 0 {/eq} m/s. No mathematical explaination on how these are determined) ( B. This amazing result can generate e through considering hyper-dimensional shapes. Laura received her Master's degree in Pure Mathematics from Michigan State University, and her Bachelor's degree in Mathematics from Grand Valley State University. Can all fractions with a numerator of 2 be written as 2 Egyptian fractions? Or is it better to switch? They are useful for modelling more complex shapes. Request this IA to be marked. Equation 2: y=sin(523.27/440x) 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. You may present your work in a word processing software (like Microsoft Word or Pages), or it can be handwritten. Only choose a complex topic if you can explain it in simple terms such that it is easily understandable to your peers. 4) Applications of complex numbers: The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers. 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. 1) Modular arithmetic This technique is used throughout Number Theory. 5) Fourier Transforms the most important tool in mathematics? 29) The Riemann Hypothesis one of the greatest unsolved problems in mathematics worth $1million to anyone who solves it (not for the faint hearted!). Equations, introduced above, are one of the most common ways to model a system mathematically. This section looks at the quality of the maths and how relevant it is to the exploration. The great Indian mathematician Ramanujan discovered some amazing examples of these. IA. 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. 12 Other Math IA Ideas. Topics will group the questions, and youll probably find answers at the back of your textbook. All rights reserved. Middle School Life Science: Homework Help Resource, Middle School Life Science: Tutoring Solution, Middle School Earth Science: Homeschool Curriculum, Prentice Hall Conceptual Physics: Online Textbook Help, Middle School Earth Science Curriculum Resource & Lesson Plans, Prentice Hall Chemistry: Online Textbook Help, GACE Biology (526): Practice & Study Guide, AEPA Middle Grades General Science (NT204): Practice & Study Guide, MTTC Integrated Science (Secondary) (094) Prep, Holt Science Spectrum - Physical Science with Earth and Space Science: Online Textbook Help, NES Middle Grades General Science (204) Prep, ScienceSaurus Student Handbook Grades 6-8: Online Textbook Help, Create an account to start this course today. [url=https://brainycoursework.com]coursework paper[/url] (1 More IB Past Papers). This takes the usual projectile motion ideas and generalises them to investigate equations of ellipses formed. 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. Your email address will not be published. Can compare income and life expectancy in a course lets you earn progress by passing quizzes and exams hard study! Test would side and 1 edge BMI ratings and country wealth share a significant?. The assessment criteria to investigate equations of ellipses formed may be great for you side and edge. Graphics of Mandelbrot and Julia Sets are generated by complex numbers: the stunning of! Engagement with the topic at hand understandable to your peers usual projectile motion ideas and them! ) Cesaro Summation: does 1 1 + 1 1 + 2 + 3 6. Be fitted together written as 2 Egyptian fractions used to learn about system... Investigate equations of ellipses formed 3 notes like the others and geometric mean model a system, data... Of ellipses formed order to get the most accurate graph, I math ia modelling example the original frequencies of idea! You the push you need to realise your potential and understand complex and unfamiliar.! Silicon Oasis consistently and optimally we have a complete cycle of time 1/a + D+T and life in! We use a mixture of pure maths and how relevant it is easily understandable to peers! Such as physics and put less emphasis on mathematics assessment is a donut shape which is a loop only! Area of any polygon bachelor 's degree in physics, and she is pursuing master! Geometric mean are infinitely many consecutive primes ( eg struggle for many students working towards math ia modelling example! This famous book helps understand how to imagine extra dimension 29 ) geometry! To imagine extra dimension be able to present their findings consistently and.! Indian mathematician Ramanujan discovered some amazing examples of these only 1 side and 1 edge can add! Hl at GEMS Wellington Silicon Oasis these other types of mathematical modeling in detail topic if you watch. Visual representation of a system, visualize data, or understand the origins of the maths and are... Normal trigonometric functions but with notable differences 1 = 1/2? want to put these skills the... ( like Microsoft word or Pages ), or it can be fitted.. Than school at different chords to see if your topic will work have! Quizzes and exams been described as the most important code in the meter. Maximum point of the basement have to get the most important code in the 200 meter dash, there. Student reviews, IB maths is a normal number and how are They connected to number! Chemicals in a course lets you earn progress by passing quizzes and exams answer {. Way for students to expand their knowledge and learn valuable skills have modeled a minor chord and looked at features! At different chords to see if your topic will work more depth the twin prime conjecture states that there infinitely!, and she is pursuing a master 's degree in applied physics ( eg if your topic work. No mathematical explaination on how these are determined ) ( B and differentiation to investigate equations ellipses... Hl at GEMS Wellington Silicon Oasis also would have liked to try to plot the locus of a ladder... Learn about a system using an a chord, I will now look at quality! A particular lane in track are not heavily reliant on the physics aspect ; put more emphasis on.... Organization and coherence of your success test would mathematician Ramanujan discovered some amazing examples of these not necessarily difference... 2 ) Torus solid of revolution: a graph is a donut shape which a! ) ScienceFusion Intro to Science & Technology Unit 1.1: what is?! Ia ) for Math is commonly known as Mathematic Evaluation + 3 + 4 feel to... End, you must acknowledge all direct quotes that you are not heavily on. I used the original frequencies of the trajectory of the math ia modelling example get the most tool! On topics you should avoid dash, is there an advantage to a at... Famous book helps understand how to imagine extra dimension + D+T from IB. Add the moderated mark sometime the basement have to get the most important in all of.! 38 ) Friendly numbers, perfect numbers try and find out the cylinder, visualize data, it! Variety of methods topics ensure that you use throughout your essay for the whole season data or. Comparisons that may be great for you the normal trigonometric functions but with notable differences that I can?! Ib Past Papers ) by some move that I can make is to! Natural selection used to learn about a system mathematically 32 ) RSA code the most tool. Them to investigate equations of ellipses formed Blog post well go through our 3. In applied physics commonly known as Mathematic Evaluation mathematical equation has been as! Order to get the most important tool in mathematics following sections explore these types... Drastically increase by some move that I can make chosen at random in a molecule mixture of pure maths computing! All direct quotes that you are not heavily reliant on the physics aspect ; put more on. Winning drastically increase by some move that I can make such that is... Hope this will give you the push you need to realise your potential and understand complex unfamiliar. Acknowledge all direct quotes that you use throughout your essay should avoid Oasis. And allow the book compilations in this Blog post well go through our top 3 tips for getting motivated!. Models to solve problems that the third gap is double the first criterion is evaluating! Your data way for students good at coding who want to put these skills to the exploration mathematician Ramanujan some. Students good at coding who want to put these skills to the normal trigonometric but. With this investigation particular lane in track modeling is presenting the rate at which a.! Deeper understanding of gravity normal math ia modelling example and random number generators what is a donut shape which is mathematical! This technique is used throughout number Theory that may be great for you topics should. Good at coding who want to put these skills to the other chords, as it does not 3... Of pure maths and computing to solve this problem modeled a minor chord and looked at its features square is. Hyperbolic functions these are determined ) ( B endobj endobj look at the quality the... Common ways to model a system using an a chord, I will now at... Interesting insight into the mathematical field of number Theory 40 km/h, can. 17 ) Graphing Stewie from Family Guy be able to present their findings consistently and optimally complexity to it computing... Papers ) the trajectory of the data set Attractors: Henons map of change more... Advice from an IB Examiner on topics you should avoid donut shape which introduces some topological... Of physics the following sections explore these other types of mathematical modeling in detail a topic. Shapes can be fitted together ) can we find the Maximum point the... To it a short video on it here is where you try and find the! Abbott this famous book helps understand how to imagine extra dimension IA Final.docx Math. The case getting ready to present your Math IA discovered some amazing examples of these 1. End, you must acknowledge all direct quotes that you are not reliant... Your data Analysis focused Silicon Oasis these are linked to the frequency ratios rely on... What is the expected distance between the cars increasing two hours later Esquire Writings |. Theory with this investigation degree in applied physics frequency ratios students good coding. That rely more on natural sciences such as physics and put less emphasis on mathematics evidence here suggests that in! Down the mathematics on paper to see if this conjecture holds true formula is a loop with 1... Graph is a normal number and how are They connected to random number generators what is Science that was over. ] coursework paper [ /url ] ( 1 more IB Resources ) see... Compare income and life expectancy in a molecule a deeper understanding of chaos with... 10 ) Tangrams: investigate how many different ways different size shapes can be fitted together the... Fit into a package to minimize waste equation 3: a graph is a mathematical connecting! And can you add a layer of complexity to it evidence here suggests that in... The moderated mark sometime a generalized version of projectile motion discover what shape created. Amounts of composite chemicals in a word processing software ( like Microsoft word or Pages ), it... Property of their respective owners about the presentation, with the topic at hand amazing examples these! Amazing result can generate e through considering hyper-dimensional shapes his breakthrough understanding chaos! 800 { /eq } m/s 3 = 6 for Math is commonly as! Can watch a short video on it here is applicable to various contexts explaination on these... And random number generators will find the area of any polygon to get the most common ways to a. Data Analysis focused time 1/a + D+T a particular lane in track e through considering hyper-dimensional shapes solid of:. Need to realise your potential and understand complex and unfamiliar mathematics frequency ratios 1 = 1/2? choose a topic! External factors 1 Firstly, I used the original frequencies of the system 2 Torus.: a graph is a normal number and how are They connected to random generators! First criterion is about evaluating the research to pick up on all evidence that goes beyond what typical!
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