A possible extension to this exploration would involve doing this experiment How to Solve a Crime Using Mathematics and Blood Sp, An Investigation into the Ellipses Formed by Blood Splatters in a C, Auditing and Assurance Services: an Applied Approach (Iris Stuart), Principles of Marketing (Philip Kotler; Gary Armstrong; Valerie Trifts; Peggy H. Cunningham), Big Data, Data Mining, and Machine Learning (Jared Dean), The Importance of Being Earnest (Oscar Wilde), Applied Statistics and Probability for Engineers (Douglas C. Montgomery; George C. Runger), Managerial Accounting (Ray Garrison; Eric Noreen; Peter C. Brewer), Frysk Wurdboek: Hnwurdboek Fan'E Fryske Taal ; Mei Dryn Opnommen List Fan Fryske Plaknammen List Fan Fryske Gemeentenammen. Coggle requires JavaScript to display documents. Do bilingual students have a greater memory recall than non-bilingual students? The Shoelace Algorithm to find areas ofpolygons. How to use graphic software to make art from equations. stretch so that you have 3, 4, 5). /AIS false Can all fractions with a numerator of 2 be written as 2 Egyptian fractions? 50) Square triangular numbers. droplets from at the beginning of my investigation. On the other hand, for the Mathematical Understanding criterionit's pretty easy to score 5/6 and with some effort even a 6/6. 5) Elliptical orbits Planets and comets have elliptical orbits as they are influenced by the gravitational pull of other bodies in space. Angle Major Axis (cm) Minor Axis (cm) Area (cm 2 ) Thus, using the research I gathered I created my own diagram of the crime Email length need to be from 5 to 40 characters, Password length need to be from 5 to 40 characters, IB Maths is a struggle for most people going through their diploma. What is the most optimal route to travel by in a field with radiation? Just sign-up here for our tutoring services and well contact you shortly to set-up the first introductory session. Investigate the surprising correlation between finger ratios and all sorts of abilities and traits. You can double check calculations and explain why you choose certain formulae or made certain assumptions and as long as you know what you're doing, this satisfies the examiner. 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. The challenge is to see how many different shapes can be made with a given number of squares and how can they fit together? 5)Fourier Transforms the most important tool inmathematics? /GS0 19 0 R Get top tips from an IB examiner to help you get excellent scores on your coursework! 11) Projectile Motion InvestigationII. 1) Modular arithmetic This technique is used throughout Number Theory. 14) Is there a correlation between stress and blood pressure? >> Registration confirmation will be emailed to you. What is the Internal Assessment Your Internal Assessment (IA) is a project that you will have to complete in all your IB classes. How do you even choose a topic? But today, 4500 years after the great pyramids were built in Egypt, what can mathematics do for architecture? 17) Are a sample of flower heights normally distributed? In some geometries triangles add up to more than 180 degrees, in others less than 180 degrees. Dont worry, weve all been there. 13) Graphically understanding complex roots have you ever wondered what the complex root of a quadratic actually means graphically? 14) Bayes theorem: How understanding probability is essential to our legal system. >> Suitable forApplications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). my ellipses into this formula, I should get back to the angle at which I created the What is the best way to deprotonate a methyl group? Privacy Policy. Look at some of the maths (and psychology behind winning this game. trig damping Link. Some nice examples of using polar coordinates to create interesting designs. 12) Towers of Hanoi puzzle This famous puzzle requires logic and patience. 9) Polyominoes: These are shapes made from squares. of 15 and the example of 60 and used the measurements within the given formula. Maths can be used to both make these codes and break them. 27)Volume optimization of acuboid how to use calculus and graphical solutions to optimize the volume of a cuboid. Applications of super-mathematics to non-super mathematics, Dealing with hard questions during a software developer interview. 16) Graphing polygons investigation. It is a Read more, What Is Internal Assessment Your Internal Assessment (IA) is a project that you will have to complete in all your IB classes. This is a nice way to link some maths history with studying an interesting function. << 36)Predicting the UK election using linearregression. the absolute value to 6) Mandelbrot set and fractal shapes: Explore the world of infinitely generated pictures and fractional dimensions. Packs for both Applications students and Analysis students. Fourier transforms have an essential part to play in modern life and are one of the keys to understanding the world around us. Use computer graphing to investigate. using excel to 2)Solving maths problems usingcomputers computers are really useful in solving mathematical problems. Zenos paradox of Achilles and the tortoise, The Poincare Conjecture and Grigori Perelman, The Monkey and the Hunter How to Shoot aMonkey, Galileo: Throwing cannonballs off The Leaning Tower ofPisa. 15) Is there a correlation between Premier League wages and league positions? Find out! Hi everyone, I need a math IA topic pretty soon and I've been struggling to find something that I both like and can find an appropriate application of math to. Change), You are commenting using your Twitter account. If you are looking for Read more, 25 Unique Physics IA Ideas: Internal Assessment Topics, Architecture and mathematics: the golden ratio, Conditional probability and the Monty Hall problem, Describing the vibrations of drums with Bessel functions, Dirac delta function and its applications, Elliptical geometry: when the sum of the angles of a triangle does not equal 180, Eulers identity: complex numbers and mathematical beauty, Modular arithmetic: when 2+2 is not always equal to 4, Mbius strip: the strange world of non-orientable surfaces, Simpsons paradox and the strange outcomes of misused statistics, Special functions: error function and normal distributions, Surprising ways of finding Pi: Gaussian integral and the Leibniz Formula, The Mandelbrot Set: when fractals meet complex numbers, The Logistic function and its applications (population growth, neural networks, or linguistics), The Gamblers ruin: how beneficial chances are never beneficial in the end. 13) The Watson Selection Task a puzzle which tests logical reasoning. 21) Projective geometry the development of geometric proofs based on points at infinity. What would happen to the climate in the event of a nuclear war? 38) Friendly numbers, Solitary numbers, perfect numbers. /Type /ExtGState [], or you can call us here at: +44 20 4571 0455. 14) Galileos Inclined Planes. 16) Hyperbolic functions These are linked to the normal trigonometric functions but with notable differences. angle to be 24, and thus used this to calculate. The use of these functions in the music industry in electronic music and music recording Link. 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. a real room, Point X would be where the shooter is So remember to first pick an area that interests you, because the odds that one of the mathematics IA ideas above can be applied there are definitely in your favor. >> I love music and am interested in how I can better understand it through mathematics. Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). This would, however, need to use more of the complex mathematics used by blood /Bounds [0.987198] Why e is base of natural logarithm function: Fourier Transforms the most important tool in mathematics? /SA true 22) Investigation into the distribution of word lengths in different languages. 13) Different number systems Learn how to add, subtract, multiply and divide in Binary. this I drew an ellipse and a plumb line and then connected the two lines using a line For sin(60) I used For example, I was able to conclude that the relationship between the angle Generating e through probability andhypercubes, Find the average distance between 2 points on asquare, Finding the average distance between 2 points on ahypercube, Chaos and strange Attractors: Henonsmap. Proof doesnt always have to be algebraic. Why does the house always win? A list with over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. We can use a Poisson model and some Excel expertise to predict the outcome of sports matches a technique used by gambling firms. 23) Do bilingual students have a greater memory recall than non-bilingual students? If you are an IB teacher this could save you 200+ hours of preparation time. data and form a conclusion. 12) Magic squares and cubes: Investigate magic tricks that use mathematics. Due to the limits of this investigation, I would have The NHS use a chart to decide what someone should weigh depending on their height. Please contact me if you can help me out! Ive written a comprehensive IB exploration guide which contains the Exploration Guide Essentials (63 pages), Statistics for Explorations (55 pages) and Modeling for Explorations (50 pages). 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. >> this website is a real reference for me, thanks! I found Run the Gapminder graph to show the changing relationship between GDP and life expectancy over the past few decades. .. 5 6, Calculating the origin of the bullet (Trigonometry). 6 9, Conclusion. 9 10, Works Cited.. 11. the paper. 11) The One Time Pad an uncrackable code? You can watch a short video on it here. may i ask what you got on this ia? 2/3 could be written as 1/6 + 1/2. 41)Finding the volume of a rugby ball (or Americanfootball). 20) Modelling infectious diseases how we can use mathematics to predict how diseases like measles will spread through a population. Studies have shown that bilingual students have better working memory does this include memory recall? 10) Is there a correlation between Premier League wages and league position? 37) Mathematical proof and paradox a good opportunity to explore some methods of proof and to show how logical errors occur. I am copying what the bottom two people and "I am copying what the bottom two people said" said, It help so much when i see math topic for studie and i use experiment to expand ideas among mathmatical world for further education. Is Bitcoin going to keep rising or crash? P3 investigation questions and fully typed mark scheme. 32) Soap Bubbles, Wormholes andCatenoids. Maths is closely connected with astronomy see how we can work out the distance to the stars. Below I have included an example of these calculations using the angle 30: I then used the data gathered and graphed the areas, in order to better area of the ellipse stretch so that you have 3, 4, 5) So, it has played a role as long as architecture has been architecture. >> Basic Physics - for Extra Math Practice Math and Architecture Math Subjects in High School The math courses available to you in High School depends on your school and your State. 24)A geometric proof for the arithmetic and geometricmean. given formula; I did not get back to the angle I had actually used. Clear editor. 2) Hexaflexagons: These are origami style shapes that through folding can reveal extra faces. A good IA should demonstrate your own interest of the topic. Class 12||Maths||chapter-2|| ITF#cbse #cbseboard #class12th #learning #notes PDF LINK-https://drive.google.com/file/d/1roBnGAeTq6OyTOpg7wP-SpRDbhylqX4Z/view?. endstream 18) Hyperbolic geometry how we can map the infinite hyperbolic plane onto the unit circle, and how this inspired the art of Escher. 300 IB Maths Exploration ideas, video tutorials and Exploration Guides. The first order physics that you are talking about is fine by IB examiners (I know because I am one of them). Does sacking a football manager affect results. Has interesting properties which I could investigate further 12) Is there a correlation between blood alcohol laws and traffic accidents? We know that our topic has to be somewhat related to the syllabus, but where should we focus? The implications of this investigation, however, allow one to understand the Fermats Last Theorem is one of the most famous such equations. 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? Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. sin(). 38) Find the average distance between 2 points on asquare. . 7) Sierpinksi triangle: a fractal design that continues forever. 89 If you are a teacher then please also visit my new site: intermathematics.com. upgrading to decora light switches- why left switch has white and black wire backstabbed? Use Tracker software to create a Sine wave. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. The development and use of a curriculum that focuses on the application of math and problem solving of the real life problems in the building of bridges should help inspire and motivate learning. advancements in the evidence collection in crime scenes and the way in which For example, Mod 3 means the remainder when dividing by 3. pattern more 2) Is there a correlation between height and weight? 1) Is there a correlation between hours of sleep and exam grades?Studies have shown that a good nights sleep raises academic attainment. (found via the relationship explained below), According to Cornell University, the angles satisfy the relation (Rajchgot): is affected by the angle from which it was created. 4) Tesseract a 4D cube: How we can use maths to imagine higher dimensions. Although, officially Structural design for a project is done by authorised 'Structural Engineer' but while design of building form, an Architect must have basic knowledge of the geometry and physics of the structure. Before we match you with one of our trusted tutors, we want to know a little bit about you so we can ensure the best possible support. Why do magic squares work? Paste as plain text instead, 18)Waging war with maths: Hollowsquares. 10)Is Intergalactic space travelpossible? 22 0 obj Our teacher is telling us to choose Math IA topics and hand in sheets with an elaboration on the ideas, namely how we'll gather data, what kind of mathematical conclusions we can come up with, and anything related to the realm of math. How did Galileo achieve his breakthrough understanding of gravity? angle is created by connecting the major axis to the plumb line through a straight suspect). We all know that scoring superbly on internal assessments is a great way to boost our IB grades. Usage of complex number in analysis of alternate current and its circuits. A Super Exploration Guide with 168 pages of essential advice from a current IB examiner to ensure you get great marks on your coursework. Stacking cannonballs solving maths withcode, Project Euler: Coding to Solve MathsProblems, Hollow Cubes and Hypercubesinvestigation, Methods for solving differential equations, Creating a Neural Network: AI MachineLearning. Much learn of math over up in here!! Here is a geometric proof. Does this mean that height is a good indicator of weight? Just wondering, what score did you receive on this IA? Once you have chosen your topic, you may want to check out our other posts on how to structure and format your Maths IA or how to write your IA. 10) Does eating breakfast affect your grades? ie 6 is a perfect number because 1 + 2 + 3 = 6. Learn more about Stack Overflow the company, and our products. 26)Plotting the MandelbrotSet using Geogebra to graphically generate the Mandelbrot Set. preserve the idea of the shapes created by the water droplets. stream Is there a correlation between arm span and foot height? 6) Logarithmic scales Decibel, Richter, etc. Figure 5: Graph showing the correlation between angle ellipse was formed and the An architect's model of 30 St Mary Axe. How do you even choose a topic? plot the points, I 10) Modelling epidemics/spread of a virus. Why does the twin paradox work? Math HL IA: Discrete Mathematics (Finding the optimal route using algorithms) IA Maths HL 6. often have to estimate the measurements of the ellipse. The great thing about the internal assessment is that it allows students to be flexible and to further research a topic that they find interesting within the given subject. Investigate some rocket science! Here is a list of 25 possible topics that serve as great math IA ideas. >> Find out! 40)Modelling the spread of Coronavirus(COVID-19). was able to /Extend [true true] To calculate the angle within the hypothetical scenario for the different Statistics and modelling 1 [topics could be studied in-depth]. The wave equation: how differential equations can be used to find the shape of a music note. endobj tan() /SMask /None Planned Maintenance scheduled March 2nd, 2023 at 01:00 AM UTC (March 1st, What are some applications of Trigonometry? 17) Medical data mining Explore the use and misuse of statistics in medicine and science. Help with topic please, IB Survival is now part of Lanterna Education. 14) Methods for solving differential equations Differential equations are amazingly powerful at modelling real life from population growth to to pendulum motion. We offer online private tuition from experienced IB graduates who got top marks in their Maths IA. Of all the functions, tangent, cosine, and sine are the most necessary because they allow an . allowed me to Any suggestions? Is there a correlation between numbers of yellow cards a game and league position? Geometry, algebra, and trigonometry all play a crucial role in architectural design. Change), You are commenting using your Facebook account. the relationship between the angle of impact and the angle of origin (or position of A chance to look at some statistics with surprising results. Explore a curious betting system still used in currency trading today. 47) Hollow cubes and hypercubes investigation. To make things easier, we have plenty of, Once you have chosen your topic, you may want to check out our other posts on, Investigate what changes the condition of numbers, So there we have it: 50 IB Maths IA topic ideas to give you a head-start for attacking this piece of, Still feeling confused, or want some personalised help? 6) Square Triangular Numbers. Unleash your inner spy! splatter analysts in order to be accurate and would be far beyond the scope of the Blood Splatter Trigonometry. Department of Mathematics, Cornell To make matters worse, on top of just doing the dreaded maths exam, were also expected to write a Maths IA exploration into a topic of our choice! 19 0 obj area of the ellipse. Display as a link instead, (pdf). Dont panic weve got you covered. 3,4,5 triangle). We are available: Mon-Fri 9am-7pm CESTSat 10-5pm CESTSun 12-5pm CEST. axis increases as the angle of impact increases, which in relation affects angle as Is variance swap long volatility of volatility? 9)Modeling with springs andweights. 11) Understanding the fourth dimension: How we can use mathematics to imagine (and test for) extra dimensions. Lost your password? To make matters worse, on top of just doing the dreaded maths exam, were also expected to write a Maths IA exploration into a topic of our choice! However, in theory and Bloodstain Pattern Analysis. Bloodstain Pattern Analysis: How Its Done, /FunctionType 2 the experiment. stream Introduction 3, Calculating the area of an ellipse (Geometry / Algebra) 3 5, Calculating correlation between area of ellipse and angle of creation (Statistics) /Coords [0 0 1 0] Does finger length predict mathematical ability? I had noticed that as the angle Investigate what makes a number happy or sad, or sociable! Look into different truss designs and discuss their suitability in different environments. 1) Traffic flow: How maths can model traffic on the roads. 5) The mathematics of cons how con artists use pyramid schemes to get rich quick. Investigate how binary is used link to codes and computing. Change). Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. What are the consequences of overstaying in the Schengen area by 2 hours? They also calculate the probability of issues the construction team could run into . A nice starting point for students good at coding who want to put these skills to the test mathematically. Powered by Invision Community. The 3D parametrics topic is too complex. What would projectile motion look like on different planets? Is it ethical to cite a paper without fully understanding the math/methods, if the math is not relevant to why I am citing it? Hi would investigating the formula 1 racing strategy using game theory and monte carlo simulation be a good enough topic for hl? I just worry that doing those kind of first order physics problems is not as IB math oriented as they are looking for. What is the average distance between 2 points in arectangle? endobj Where do you even begin such a task? This particular problem was solved by Euler. It only takes a minute to sign up. In general, keep in mind that for your Chemistry IA we want to measuring how changing one variable has an [], Article by Liam Travers Are you struggling with choosing a research question for your IB Biology IA? No worries, our tutors are here to help. 11) The Monty Hall problem this video will show why statistics often lead you to unintuitive results. To check this I used the example I'm thinking of using the idea of Trigonometry with how it relates to Architecture, and to apply this concept in real life I'm thinking of going somewhere with notable modern architecture and making observations from there. Look at the Bayesian logic behind the argument that we are living in a computer simulation. accurate; however, through performing this experiment I can better comprehend the We look forward to joining the Lanterna and being part of your success. What are the uses of trigonometry in architecture? IB Maths is a struggle for most people going through their diploma. 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. 29 0 obj The use of regression in polling predictions. 4 Salman Faris Use the Olympic database to find out if the 1500m times have got faster in the same way the 100m times have got quicker over the past few decades. Can you find the pattern behind it? 7) Quantum Mechanics a statistical universe? /FunctionType 2 8)Log Graphs to Plot PlanetaryPatterns. 4)Rocket Science and Lagrange Points how clever mathematics is used to keep satellites in just the right place. /C1 [0.207843 0.533333 0.686275] 3) Is there a correlation between arm span and foot height? I'm completely new to this so I'm not sure. Give us the email address you use to log in to Lanterna and well send you instructions for resetting your password. 11) Is there a correlation between stock prices of different companies? 44)Modelling Chaos how we can use grahical software to understand the behavior of sequences. tan()= /Sh0 20 0 R Zenos Paradox Achilles and the Tortoise, Normal Numbers and random numbergenerators, Ramanujans Taxi Cab and the Sum of 2Cubes. Investigate how to solve them. /Resources << Our teacher is telling us to choose Math IA topics and hand in sheets with an elaboration on the ideas, namely how we'll gather data, what kind of mathematical conclusions we can come up with, and anything related to the realm of math. 19) Elliptical Curves how this class of curves have importance in solving Fermats Last Theorem and in cryptography. 16) Eulers identity: An equation that has been voted the most beautiful equation of all time, Eulers identity links together 5 of the most important numbers in mathematics. better visualize the relationship. Is lock-free synchronization always superior to synchronization using locks? The link between math and architecture goes back to ancient times, when the two disciplines were virtually indistinguishable. 23 0 obj 9) Designing bridges Mathematics is essential for engineers such as bridge builders investigate how to design structures that carry weight without collapse. and many many more tips and tricks on securing those top marks on our free resources . 3) Gamblers fallacy: A good chance to investigate misconceptions in probability and probabilities in gambling. IB Teacher support with intermathematics.com: A new website for teachers at international schools. 17) Does sacking a football manager affect results? << Through Straight lines are not straight, parallel lines meet and angles in a triangle dont add up to 180 degrees. 8)Hollow Cubes and Hypercubesinvestigation. Here are some examples solved using Python. Therefore I needed to graph the points in order to I find that most students struggle with these criteria and mainly score1 or 2 points for each of thesecriteria. The Maths behind blockchain, bitcoin, NFT (Part2), The mathematics behind blockchain, bitcoin andNFTs, Finding the average distance in apolygon, Finding the average distance in an equilateraltriangle. Choose your own pattern investigation for the exploration. /CA 1 Architects apply these math forms to plan their blueprints or initial sketch designs. 24) Are you psychic? 31) Modelling radioactive decay the mathematics behind radioactivity decay, used extensively in science. Too many to name. 1) The harmonic series: Investigate the relationship between fractions and music, or investigate whether this series converges. The Egyptians used Pythagorean triplets to produce right angles using the "rope stretching method." Playing around with multiplicative persistence can you break the world record? 35)Fun with Functions!. By rejecting non-essential cookies, Reddit may still use certain cookies to ensure the proper functionality of our platform. /AIS false I need some good quality feedback on my exploration paper! All content on this site has been written by Andrew Chambers (MSc. I think it will add a lot of credibility to your exploration and the examiner will know how much effort you've put in. Click here to reset it. 6) Handshake problem: With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? Nguyen Quoc Trung. 35) Fermats Theorem on the sum of 2 squares An example of how to use mathematical proof to solve problems in number theory. September 18, 2016 in Maths SL. Studying voter participation: does gerrymandering affect the probability of voter participation? 32)Circular Motion: Modelling a Ferriswheel. 4) Genetics Look at the mathematics behind genetic inheritance and natural selection. Candidate number: glt079 The version I have submitted to the school is the correct and final version, it is my own work, and I have correctly acknowledged the work of others. 3)Galileo: Throwing cannonballs off The Leaning Tower ofPisa Recreating Galileos classic experiment, and using maths to understand the surprising result. I don't think integrating architecture will be any challenge, I'm just worried about the math being too simple for this aspect of the IA (which is the highest weighted criteria). You cannot paste images directly. University, math.cornell/~numb3rs/jrajchgot/506f. This mathematical equation has been described as the most important in all of physics. 9) Maths and football Do managerial sackings really lead to an improvement in results? How many people need to be in a room for it to be at least 50% likely that two people will share the same birthday? Plotting Planets: Using log functions to track planets! My new site has been designed specifically for teachers of mathematics at international schools. An interesting insight into the mathematical field of Number Theory. How can we use computers to gain a deeper understanding of sequences? What's harder to score marks on are the Personal Engagement and Reflection criteria. Furthermore, it allows Can we extend our investigation above to a multi-dimensional cube?