So lets jump into what you are here for. The planets follow a surprising pattern when measuring their distances. 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. Architects use trigonometry to calculate roof slopes, light angles, ground surfaces, structural loads and heights of structures, according to Edurite. 20 0 obj What tool to use for the online analogue of "writing lecture notes on a blackboard"? Mathematics, IB Mathematics Examiner). 6 out of your 20 marks are dictated by the quality of your mathematical usage. 3) Projectile motion: Studying the motion of projectiles like cannon balls is an essential part of the mathematics of war. 3,4,5 triangle). Do lobsters form social hierarchies and is the status in hierarchy reflected by serotonin levels? This helps in having architectural and structural designs in single alignment. This amazing result can generate e through considering hyper-dimensional shapes. The Tusi couple A circle rolling inside acircle. You can, of course, choose other topics that meet your requirements. 14) Circular inversion what does it mean to reflect in a circle? 35)Fun with Functions!. 2/3 could be written as 1/6 + 1/2. 4) Why e is base of natural logarithm function: A chance to investigate the amazing number e. 5) Fourier Transforms the most important tool in mathematics? Look at some stats for NBA players to find out. 34) The Tusi circle how to create a circle rolling inside another circle using parametric equations. Studies have shown that bilingual students have better working memory does this include memory recall? area of the ellipse Thus, using the research I gathered I created my own diagram of the crime Premier League wages and league positions. 8) Modelling happiness how understanding utility value can make you happier. What is the Internal Assessment Your Internal Assessment (IA) is a project that you will have to complete in all your IB classes. A list with over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. This problem asks you to explore a sliding ladder. It was exploring ideas of parametric architecture like Zaha Hadid uses. 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. Here's the general trusswiki article. Any suggestions? 13) The Watson Selection Task a puzzle which tests logical reasoning. Follow in the footsteps of a genius! x:kpTy;wCBJZV sin(). document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); Blog at WordPress.com.Ben Eastaugh and Chris Sternal-Johnson. Higher Level Mathematics Exploration Exploring the techniques of integrating trigonometric functions, with strong focus on applying Euler's formula. IB test scores are designed to fit a bell curve. Paste as plain text instead, << 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. 42)Normal Numbers and random numbergenerators what is a normal number and how are they connected to random number generators? 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. It only takes a minute to sign up. 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. The number of distinct words in a sentence. a=0(major axis) and b=0(minor axis). "U8m|l|puXxc9?|J?'oM_i %B56 ('Mb>L') %$HHYGI/' )&eD!mld6p+%?7yR. Moreover, it should show that the student has learned and has been able to apply what they have learned. This topic links to graph theory. What would projectile motion look like on different planets? 12) Magic squares and cubes: Investigate magic tricks that use mathematics. Dont panic weve got you covered. 13) The Tusi couple A circle rolling inside acircle. 17) Does sacking a football manager affect results? 9) Is there a correlation between time taken getting to school and the distance a student lives from school? Why e is base of natural logarithm function: Fourier Transforms the most important tool in mathematics? A good IA does not have to be a very complex and intricate piece of work. 24)A geometric proof for the arithmetic and geometricmean. 31) Modelling radioactive decay the mathematics behind radioactivity decay, used extensively in science. >> Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). An example set up, where the 11) The One Time Pad an uncrackable code? 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. 32) RSA code the most important code in the world? 9)Optimization of area aninvestigation. Connect and share knowledge within a single location that is structured and easy to search. 19) Introduction to Modelling. >> A good IA should demonstrate your own interest of the topic. 5) Knights tour in chess: This chess puzzle asks how many moves a knight must make to visit all squares on a chess board. No worries, our tutors are here to help. 16) Graphing polygons investigation. 31) Grahams Number a number so big that thinking about it could literally collapse your brain into a black hole. For example, Mod 3 means the remainder when dividing by 3. MATH 145. 38) Find the average distance between 2 points on asquare. droplets onto the paper properly due to the nature of gravity. To make things easier, we have plenty of free Maths resources! /BM /Normal Straight lines are not straight, parallel lines meet and angles in a triangle dont add up to 180 degrees. Hi would investigating the formula 1 racing strategy using game theory and monte carlo simulation be a good enough topic for hl? the paper. If you are a teacher then please also visit my new site: intermathematics.com. 1) Is there a correlation between hours of sleep and exam grades?Studies have shown that a good nights sleep raises academic attainment. I am copying what the bottom two people,"I am copying what the bottom two people said", and "I am copying what the bottom two people and "I am copying what the bottom two people said" said" said, I am copying what a lot of people said with really long names, I am copying what the bottom two people,"I am copying what the bottom two people said", and "I am copying what the bottom two people and "I am copying what the bottom two people said" said" I am copying what the bottom two people said" said, i tried to copy the name but it was too long, i tried to copy the name but it was too long i tried to copy the name but it was too long. 37)Modelling a NuclearWar. of impact the following formula is used by bloodstain analysts: In theory, using the data gathered, if I substitute in the major and minor axis of we must use variables a and b to distinguish between the radius of the major axis and >> We also have similar ideas for Biology, Chemistry, Economics, History, Physics, TOK and many many more tips and tricks on securing those top marks on our free resources page - just click the 'Maths resources' button! How accurately can be approximate irrationals? 5) Diophantine equations: These are polynomials which have integer solutions. How does that compare with other languages? 9) Designing bridges Mathematics is essential for engineers such as bridge builders investigate how to design structures that carry weight without collapse. 17) Graphing Stewie from Family Guy. 89 NOTE: These topics are purely meant as inspiration and are not to be chosen blindly. 300 IB Maths Exploration ideas, video tutorials and Exploration Guides. /SA true Scene: Using Trigonometry to Find a Killer Pin Code: fqr Table of Contents: I had noticed that as the angle 19) Natural logarithms of complex numbers. Thanks for all the help thus far - I appreciate it. . 3)Stacking cannonballs solving maths withcode how to stack cannonballs in different configurations. Fourier Transforms the most important tool inmathematics? Angle Major Axis (cm) Minor Axis (cm) Area (cm 2 ) Since you take physics, you can explore how a force on the top or side of the roof will be distributed on the roof (this is where geometry comes in). 43)Narcissistic Numbers what makes a number narcissistic and how can we find them all? Very interesting topics for the students who whish to go beyond the curriculum. University, math.cornell/~numb3rs/jrajchgot/506f. A good use of your calculus skills. V+ae 2``J&( 6~M&QbejNm eZ2C:=wW`bGVsw;\B0HgPJ'W:lM\!P=aw__s[An;+B]@]/5r7}oV-ih'=!?[G^>9? For sin(60) I used Can we extend our investigation above to a multi-dimensional cube? 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. Can you find the pattern behind it? Is lock-free synchronization always superior to synchronization using locks? 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. 6) Continued fractions: These are fractions which continue to infinity. 40) Stellar Numbers This is an excellent example of a pattern sequence investigation. through the major axis of the ellipse. Learn more about Stack Overflow the company, and our products. 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. Algebra and number 3) Chinese postman problem This is a problem from graph theory how can a postman deliver letters to every house on his streets in the shortest time possible? 44)Modelling Chaos how we can use grahical software to understand the behavior of sequences. It makes it possible for architects to easily calculate distances, angles, and a number of other things in relation to diagonal components. 8) Is there a correlation between Olympic 100m sprint times and Olympic 15000m times? A great introduction to some of the ideas behind non-euclidean geometry. But today, 4500 years after the great pyramids were built in Egypt, what can mathematics do for architecture? 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. I guess that's sorta the idea that IB Math Helper was suggesting. paper is at 0 and the dropper 29) Classical Geometry Puzzle: Finding theRadius. Trigonometry is arguably the most important branch of mathematics in this field. 14) Methods for solving differential equations Differential equations are amazingly powerful at modelling real life from population growth to to pendulum motion. Thankfully, weve asked some of our favourite IB graduates for some of the ideas they pursued! Statistics and modelling 2 [more simplistic topics: correlation, normal,Chi squared]. Anything that involves the study of the measure of triangles is trigonometry. /GS0 19 0 R Still feeling confused, or want some personalised help? 50) Square triangular numbers. What is the minimum number of colours needed for any map? is affected by the angle from which it was created. on a vertical plane and using paint to make a splatter and taking the different ellipses stretch so that you have 3, 4, 5). /FunctionType 2 9) Coding Hailstone Numbers. first increased and then decreased. it really good topics in math and i really like it and its new in math. The Egyptians used Pythagorean triplets to produce right angles using the "rope stretching method." (a circular rope with 12 knots. If any points are chosen at random in a square what is the expected distance between them? >> 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. endobj 17) Chinese remainder theorem. This mathematical equation has been described as the most important in all of physics. /CA 1 On the surface, Math IA is about investigating concepts within a topic of interest and presenting your findings in a 2,200-word report. 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. 38) Modelling a football season. We can use a Poisson model and some Excel expertise to predict the outcome of sports matches a technique used by gambling firms. 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? Unlike the different tests, it . 36)Predicting the UK election using linearregression. 6) Bullet projectile motion experiment using Tracker software to model the motion of a bullet. The link between math and architecture goes back to ancient times, when the two disciplines were virtually indistinguishable. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. More computing led investigations. Figure 2: Table of values showing the lengths of the major and minor axis and the 15) Modelling epidemics/spread of a virus what is the mathematics behind understanding how epidemics occur? 42) The Martingale system paradox. Explore the maths behind code making and breaking. Fourier transforms have an essential part to play in modern life and are one of the keys to understanding the world around us. Can you solve an Oxford entrance question? Here is a geometric proof. This is a nice way to link some maths history with studying an interesting function. Using trigonometry to identify the structural features of the Pyramid of Cestius, creating a scale model of a diatomic chemical compound using vectors and 3 dimensional planes, Using exponential modelling to determine the optimal bank account. The style and grade value depends on the subject. 3) Mathematical methods in economics maths is essential in both business and economics explore some economics based maths problems. The best answers are voted up and rise to the top, Not the answer you're looking for? 6) Handshake problem: With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? In fact, in my experience of marking, this is one of the easiest to get marks for. 10) Modelling epidemics/spread of a virus. 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? The 3D parametrics topic is too complex. Use computer graphing to investigate. Help with topic please, IB Survival is now part of Lanterna Education. The first order physics that you are talking about is fine by IB examiners (I know because I am one of them). lmboyer04, Some classic physics which generates some nice mathematical graphs. How can we use computers to gain a deeper understanding of sequences? Now, Let's Look Into the Different Math IA Ideas. The unit will begin with the history of bridges, discuss some famous bridges, disasters and bridge facts, explain the basic types of bridges, bridge . % 10) Does eating breakfast affect your grades? Privacy Policy. Let me know if you guys think this actually is sufficient or if you have any other ideas about how I would extend it further perhaps. Using the SIR model to understand epidemics. Arithmetic 7. my ellipses into this formula, I should get back to the angle at which I created the 38) Friendly numbers, Solitary numbers, perfect numbers. Using the physics of travel near the speed of light to see how we could travel to other stars. Just read on! liquid often formed imperfect ellipses due to it running on the page and thus I would Some of the content includes: A list with over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. standing which is where angle points to Is there a correlation between GDP and life expectancy? Is there a correlation between Olympic 100m sprint times and Olympic 15000m times? Friendly numbers, Solitary numbers, perfect numbers. Class 12||Maths||chapter-2|| ITF#cbse #cbseboard #class12th #learning #notes PDF LINK-https://drive.google.com/file/d/1roBnGAeTq6OyTOpg7wP-SpRDbhylqX4Z/view?. Can we use a mixture of pure maths and computing to solve this problem? The calculations for both angles were off which may be due to small errors in stream into the way blood splatters can be used as evidence. 51) Complex numbers as matrices Eulers identity. Explore number theory in higher dimensions! 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. specific type of ellipse where the formula for the area of it is A=r 2. in order to get a rounded measurement that would allow me to better analyze my Theres lots of simple geometry I could do, maybe leading up to trig. The use of regression in polling predictions. /ExtGState << 6) Logarithmic scales Decibel, Richter, etc. 25) Reaction times are you above or below average? ellipse, however, both values of the radius are not equal as an ellipse is technically a As good as it sounds, generating IA topic ideas is not always easy and thats why we decided to help you here with some unique math IA ideas. My new site has been designed specifically for teachers of mathematics at international schools. A list with over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. I chose to sketch the ellipses after having done the full experiment, in order to A geometric proof for the arithmetic and geometricmean, Classical Geometry Puzzle: Finding theRadius. /AIS false 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). Architects are responsible for translating designer's plans into scale-model mathematical representations that contractors use to construct a building physically. 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. 20) Twin primes problem: The question as to whether there are patterns in the primes has fascinated mathematicians for centuries. 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. 29) The Riemann Hypothesis one of the greatest unsolved problems in mathematics worth $1million to anyone who solves it (not for the faint hearted!). 13) Telephone Numbers these are numbers with special properties which grow very large very quickly. 31) The Shoelace Algorithm to find areas ofpolygons. 1) The prisoners dilemma: The use of game theory in psychology and economics. Together with the need to measure the land they lived on, it was people's need to build their buildings that caused them to first investigate the theory of form and shape. Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). 37) Generating e through probability andhypercubes. Can Artificial Intelligence (Chat GPT) get a 7 on an SL Mathspaper? IB HL Paper 3 Practice Questions ExamPack, Complex Numbers as Matrices: EulersIdentity, Sierpinski Triangle: A picture ofinfinity, Further investigation of the MordellEquation, Follow IB Maths Resources from Intermathematics on WordPress.com. Upload or insert images from URL. 32)Circular Motion: Modelling a Ferriswheel. that the equation. I think it will add a lot of credibility to your exploration and the examiner will know how much effort you've put in. Calculus 2. What would happen to the climate in the event of a nuclear war? ie 6 is a perfect number because 1 + 2 + 3 = 6. 22) Investigation into the distribution of word lengths in different languages. Trigonometry 5. 10) Mathematical card tricks investigate some maths magic. Rational approximations to irrational numbers. The style and grade value depends on the subject. MATH IA GUIDE Criterion E: Use of Mathematics This criterion makes up the largest portion of your overall IA marks. Investigate some rocket science! Investigate how to solve them. We can analyse the data to find out. 7) Explore the Si(x) function a special function in calculus that cant be integrated into an elementary function. [], or you can call us here at: +44 20 4571 0455. Proof doesnt always have to be algebraic. A Super Exploration Guide with 168 pages of essential advice from a current IB examiner to ensure you get great marks on your coursework. Coggle requires JavaScript to display documents. 7) Quantum Mechanics a statistical universe? 15) Birthday paradox: The birthday paradox shows how intuitive ideas on probability can often be wrong. << Why do magic squares work? 1) Modular arithmetic This technique is used throughout Number Theory. 8)Log Graphs to Plot PlanetaryPatterns. 20) Modelling infectious diseases how we can use mathematics to predict how diseases like measles will spread through a population. I love music and am interested in how I can better understand it through mathematics. This is an nice example of how you can investigation optimization of the area of different polygons. Math IA - Math Investigative Abilities Essay; Maths IA - Grade: 7; Glucose in Bloodstream IA; Assignment 3 - Opgaver fra 2018; Example 3 ia - rffr; MATH studies IA grade 6 (2019-2020) studying trends; . measurements above to sketch them. Try to plot the locus of a sliding ladder. Algebra 4. 8) How to Solve Noughts and Crossess (Tic Tac Toe) using game theory. angle of origin increased as the angle of impact increased, providing me with insight This topics provides a fascinating introduction to both combinatorial Game Theory and Group Theory. I don't suggest you do it. I chose to round my answer to three significant figures, as negative this website is a real reference for me, thanks! stretch so that you have 3, 4, 5) So, it has played a role as long as architecture has been architecture. 75 3 0 1. Packs for both Applications students and Analysis students. dropper at a 45. Please contact me if you can help me out! advancements in the evidence collection in crime scenes and the way in which 14) Egyptian fractions: Egyptian fractions can only have a numerator of 1 which leads to some interesting patterns. The implications of this investigation, however, allow one to understand the 15) Julia Sets and Mandelbrot Sets We can use complex numbers to create beautiful patterns of infinitely repeating fractals. 15) Is there a correlation between Premier League wages and league positions? /Type /ExtGState For more information, please see our Suitable forApplications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). 22)The Folium ofDescartes. An essential component of JPEG, DNA analysis, WIFI signals, MRI scans, guitar amps find out about the maths behind these essential technologies. Probability and Statistics 6. are examples of log scales investigate how these scales are used and what they mean. Nederlnsk - Frysk (Visser W.), English (Robert Rueda; Tina Saldivar; Lynne Shapiro; Shane Templeton; Houghton Mifflin Company Staff), Handboek Caribisch Staatsrecht (Arie Bernardus Rijn), Junqueira's Basic Histology (Anthony L. Mescher), Marketing-Management: Mrkte, Marktinformationen und Marktbearbeit (Matthias Sander), Mechanics of Materials (Russell C. Hibbeler; S. C. Fan), Mathematics internal assessment on forensic investigations, Math IA - Math Investigative Abilities Essay, MATH studies IA grade 6 (2019-2020) studying trends, Kiss of the Spider Woman Reflective Statement, One Day in the Life of Ivan Denisovich Reflective Statement. 52) Have you got a SuperBrain? 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). /ca 1 So, it has played a role as long as architecture has been architecture. Quantum Mechanics a statistical universe? What are the uses of trigonometry in architecture? La relation qui existe entre pi et la distribution des nombre premiers. (pdf). A chance to look at some statistics with surprising results. 2) Hexaflexagons: These are origami style shapes that through folding can reveal extra faces. 1) The harmonic series: Investigate the relationship between fractions and music, or investigate whether this series converges. 41) Arithmetic number puzzle It could be interesting to do an exploration where you solve number problems like this one. 6) Impact Earth what would happen if an asteroid or meteorite hit the Earth? 90 4 0 0. circle that has been pulled outward on both sides and squashed down, and therefore /C0 [0.207843 0.533333 0.686275] In this article, we have compiled a list of 22 topics you can choose for the International Baccalaureate standard level Math Internal Assessment. This investigates a generalized version of projectile motion discover what shape is created. Find out how! But how do we get started on a lab report and, crucially, what should we write about? plot the points, I Is Bitcoin going to keep rising or crash? Has interesting properties which I could investigate further (LogOut/ 14) Is there a correlation between stress and blood pressure? an ellipse was impacted by the angle it was created, however, to find the actual angle Math IA - Forensics - Mathematics internal assessment on forensic investigations, Copyright 2023 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01. %PDF-1.4 droplets from at the beginning of my investigation. often have to estimate the measurements of the ellipse. 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. The style and grade value depends on the subject. 4)Rocket Science and Lagrange Points how clever mathematics is used to keep satellites in just the right place. 27) Could Trump win the next election? angle to be 24, and thus used this to calculate. 30) Maths of Global Warming Modeling Climate Change Using Desmos to model the change in atmospheric Carbon Dioxide. An architect's model of 30 St Mary Axe. Figure 7: Diagram showing the angles measured on a wall from the blood splatter in x- [5Po&H$yL3G"iYVQzl`YPDDvUvTX~jW; generate an 4 Salman Faris 21 0 obj personal interest. /ca 1 4) Genetics Look at the mathematics behind genetic inheritance and natural selection. /SMask /None We know that our topic has to be somewhat related to the syllabus, but where should we focus? 16) Are we living in a computer simulation? Thank You! The wave equation: how differential equations can be used to find the shape of a music note. 17) Are a sample of flower heights normally distributed? 14) Bayes theorem: How understanding probability is essential to our legal system. 5)Fourier Transforms the most important tool inmathematics? Investigate what makes a number happy or sad, or sociable! YEAR ONE In Class: Brainstorm Topics Homework: Select Topic, Begin Research Topic Ideas: http://ibmathsresources.com/maths-ia-maths-exploration-topics/. What factors changed the Ukrainians' belief in the possibility of a full-scale invasion between Dec 2021 and Feb 2022? How do you even choose a topic? For the purpose of this investigation I used a GDC when multiplying with /OP true Can you find the loop of infinite sadness? Also look at the finances behind Premier league teams.

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