architecture and trigonometry math ia

Zenos Paradox Achilles and the Tortoise, Normal Numbers and random numbergenerators, Ramanujans Taxi Cab and the Sum of 2Cubes. 2) Torus solid of revolution: A torus is a donut shape which introduces some interesting topological ideas. Why e is base of natural logarithm function: Fourier Transforms the most important tool in mathematics? 11) Projectile Motion InvestigationII. Thanks for all the help thus far - I appreciate it. A geometric proof for the arithmetic and geometricmean, Classical Geometry Puzzle: Finding theRadius. Does this mean that height is a good indicator of weight? Investigate how to solve them. /C0 [0.615686 0.831373 0.921569] By rejecting non-essential cookies, Reddit may still use certain cookies to ensure the proper functionality of our platform. For example, Mod 3 means the remainder when dividing by 3. (This topic is only suitable for IB HL students). I did this, as I realized that a circle, was a Thankfully, weve asked some of our favourite IB graduates for some of the ideas they pursued! the paper. 7) Black Swan events how usefully can mathematics predict small probability high impact events? Furthermore, the What would happen to the climate in the event of a nuclear war? You cannot paste images directly. 4)Whats so special about 277777788888899? /ShadingType 2 Of all the functions, tangent, cosine, and sine are the most necessary because they allow an . /SA true 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. 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. This would, however, need to use more of the complex mathematics used by blood Before construction workers can build a habitable structure, an architect has to design it. endobj Anything that involves the study of the measure of triangles is trigonometry. The wave equation: how differential equations can be used to find the shape of a music note. This topics provides a fascinating introduction to both combinatorial Game Theory and Group Theory. 29 0 obj Use the binomial distribution to test your ESP abilities. I find that most students struggle with these criteria and mainly score1 or 2 points for each of thesecriteria. 5) Diophantine equations: These are polynomials which have integer solutions. Professional math tutoring in Amsterdam given by university students who freshly remember your childs struggles. /Domain [0 1] 7) Patterns in Pascals triangle: There are a large number of patterns to discover including the Fibonacci sequence. 1. 22 0 obj This is helpful. /BM /Normal Math IA - Forensics - Mathematics internal assessment on forensic investigations, Copyright 2023 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01. /FunctionType 2 Nguyen Quoc Trung. 25) Reaction times are you above or below average? 38) Modelling a football season. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Trigonometry 5. 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! We are available: Mon-Fri 9am-7pm CESTSat 10-5pm CESTSun 12-5pm CEST. 1) Is there a correlation between hours of sleep and exam grades?Studies have shown that a good nights sleep raises academic attainment. splatter analysts in order to be accurate and would be far beyond the scope of the document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); Blog at WordPress.com.Ben Eastaugh and Chris Sternal-Johnson. 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. ellipses, as it was difficult to drop the liquid onto the piece of paper as the angle a=0(major axis) and b=0(minor axis). Architects draw angles, determine heights and calculate measurements using . 37) Generating e through probability andhypercubes. Geometry, algebra, and trigonometry all play a crucial role in architectural design. often have to estimate the measurements of the ellipse. We can use a Poisson model and some Excel expertise to predict the outcome of sports matches a technique used by gambling firms. Theres lots of simple geometry I could do, maybe leading up to trig. To make things easier, we have plenty of free Maths resources! Find out how! 'Use of Mathematics' essentially looks at the quality of your maths and how relevant it is to the exploration. circle that has been pulled outward on both sides and squashed down, and therefore 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. 5) Knights tour in chess: This chess puzzle asks how many moves a knight must make to visit all squares on a chess board. me to see that as the angle increases, the ellipse becomes more and more stretched The Egyptians used Pythagorean triplets to produce right angles using the "rope stretching method." (a circular rope with 12 knots. plot the points, I 11) Understanding the fourth dimension: How we can use mathematics to imagine (and test for) extra dimensions. 3) Benfords Law using statistics to catch criminals by making use of a surprising distribution. 8) Finding prime numbers: The search for prime numbers and the twin prime conjecture are some of the most important problems in mathematics. 20 0 obj in order to get a rounded measurement that would allow me to better analyze my A post which looks at the maths behind this particularly troublesome series. 90 4 0 0. 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. How the normal distribution is used to predict elections. 21) Using Chi Squared to crack codes Chi squared can be used to crack Vigenere codes which for hundreds of years were thought to be unbreakable. Coggle requires JavaScript to display documents. liquid often formed imperfect ellipses due to it running on the page and thus I would 18)Waging war with maths: Hollowsquares. 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. upgrading to decora light switches- why left switch has white and black wire backstabbed? 8) Modelling happiness how understanding utility value can make you happier. Connect and share knowledge within a single location that is structured and easy to search. it really good topics in math and i really like it and its new in math. And the outline of the ellipse created by the 21) Projective geometry the development of geometric proofs based on points at infinity. Is there a correlation between hours of sleep and exam grades? You can download from. 2) Gravity, orbits and escape velocity Escape velocity is the speed required to break free from a bodys gravitational pull. 31) Grahams Number a number so big that thinking about it could literally collapse your brain into a black hole. Look at the Bayesian logic behind the argument that we are living in a computer simulation. Where do you even begin such a task? Privacy Policy. How do you even choose a topic? /CA 1 So there we have it: 50 IB Maths IA topic ideas to give you a head-start for attacking this piece of IB coursework! 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? measurements do not Architects use CAD software. 3,4,5 triangle). 25)Eulers 9 PointCircle. 7) Quantum Mechanics a statistical universe? /C1 [0.207843 0.533333 0.686275] 44)Modelling Chaos how we can use grahical software to understand the behavior of sequences. Try to plot the locus of a sliding ladder. Architects are responsible for translating designer's plans into scale-model mathematical representations that contractors use to construct a building physically. comprehend the relationship between these points and thus how the area of the ellipse 7) Fibonacci sequence and spirals in nature There are lots of examples of the Fibonacci sequence in real life from pine cones to petals to modelling populations and the stock market. Trigonometry is used in architecture to ensure that buildings are built safely. 49) Rational approximations to irrational numbers. Get top tips from an IB examiner to help you get excellent scores on your coursework! What is your best way of surviving the zombie apocalypse? This particular problem was solved by Euler. 60 3 0 1. How mathematical formations were used to fight wars. Why does the house always win? Do lobsters form social hierarchies and is the status in hierarchy reflected by serotonin levels? ie 6 is a perfect number because 1 + 2 + 3 = 6. 11) Flatland by Edwin Abbott This famous book helps understand how to imagine extra dimension. The first order physics that you are talking about is fine by IB examiners (I know because I am one of them). IA Maths HL 5. Neither angle worked with the given formula, which may be due to I'm completely new to this so I'm not sure. /Filter /FlateDecode scene, in order to better understand my specific scenario using the ellipses created by Is there a correlation between Olympic 100m sprint times and Olympic 15000m times? 42)Normal Numbers and random numbergenerators what is a normal number and how are they connected to random number generators? Look into different truss designs and discuss their suitability in different environments. into the way blood splatters can be used as evidence. 12) How to win at Rock Paper Scissors. Furthermore, it allows 8)Hollow Cubes and Hypercubesinvestigation. We also have similar ideas for Biology, Chemistry, Economics, History, Physics, TOK. increased, the major axis increased and the minor axis decreased, however, the area 52) Have you got a SuperBrain? Scene: Using Trigonometry to Find a Killer Pin Code: fqr Table of Contents: The NHS use a chart to decide what someone should weigh depending on their height. 11) Mersenne primes: These are primes that can be written as 2^n -1. Thank you. 20) Are the weights of 1kg bags of sugar normally distributed? 15 1 1 1. /op true In fact, in my experience of marking, this is one of the easiest to get marks for. examples of trigonometric use in architecture include arches, domes, support beams, and suspension bridges. Figure 3: Sketches of the different ellipses formed by the experiment, using the P3 investigation questions and fully typed mark scheme. How strange things happen when we start to manipulate divergent series. 10) Pythagorean triples: A great introduction into number theory investigating the solutions of Pythagoras Theorem which are integers (eg. The Greeks used a very different approach to understanding quadratics and as a result had a deeper understanding of their physical properties linked to light and reflection. It is a project that you will work on with the guidance of your teacher (or your tutor). 11) Is there a correlation between stock prices of different companies? /Resources << Investigate what makes a number happy or sad, or sociable! I don't suggest you do it. exist. @Qiaochu sadly though, there's no Architecture stackexchange site. >> Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). 31) The Shoelace Algorithm to find areas ofpolygons. the nature of the experiment and the limitations, the ellipses created were not always Learn more about Stack Overflow the company, and our products. The link between math and architecture goes back to ancient times, when the two disciplines were virtually indistinguishable. Now, Let's Look Into the Different Math IA Ideas. /GS0 19 0 R This is an nice example of how you can investigation optimization of the area of different polygons. 17) Chinese remainder theorem. 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. Planned Maintenance scheduled March 2nd, 2023 at 01:00 AM UTC (March 1st, What are some applications of Trigonometry? << Studying voter participation: does gerrymandering affect the probability of voter participation? I just worry that doing those kind of first order physics problems is not as IB math oriented as they are looking for. Here is a geometric proof. 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. (LogOut/ Can we find a function that plots a square? We all know that scoring superbly on internal assessments is a great way to boost our IB grades. 6 out of your 20 marks are dictated by the quality of your mathematical usage. 17) Medical data mining Explore the use and misuse of statistics in medicine and science. 34)The Rise ofBitcoin. 22) Diophantine application: Cole numbers. Suitable forApplications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). Plotting Planets: Using log functions to track planets! 12) The Riemann Sphere an exploration of some non-Euclidean geometry. 9) Polyominoes: These are shapes made from squares. Does Cosmic Background radiation transmit heat? 19) Are the IB maths test scores normally distributed? pattern more 6) Continued fractions: These are fractions which continue to infinity. Statistics and modelling 1 [topics could be studied in-depth]. Pasted as rich text. 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! 3) Is there a correlation between arm span and foot height? formed and trying to determine the angle at which the paint splatter was created from. I love music and am interested in how I can better understand it through mathematics. Due to the limits of this investigation, I would have What is the best way to deprotonate a methyl group? The great Indian mathematician Ramanujan discovered some amazing examples of these. 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? It is a project Read more, Amsterdam Math Tutoring by TST Search no more, you found what you were looking for. Trig functions to express waves. Here's a link to some basic 3d parametric modeling I looked at, but again, it seem too complex and I dont know where I would go with it. We know that our topic has to be somewhat related to the syllabus, but where should we focus? endobj Any suggestions? Are the IB maths test scores normally distributed? 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). Therefore, due to 20) The Coastline Paradox how we can measure the lengths of coastlines, and uses the idea of fractals to arrive at fractional dimensions. Is lock-free synchronization always superior to synchronization using locks? 45 2 1 2. Bloodstain Pattern Analysis. Wikipedia, Wikimedia Foundation, 25 Nov. 2017, 14) Bayes theorem: How understanding probability is essential to our legal system. 16) Are we living in a computer simulation? Find out more! 41)Finding the volume of a rugby ball (or Americanfootball). (pdf). IB Maths is a struggle for most people going through their diploma. Your link has been automatically embedded. To check this I used the example Month Hall problem: to generate a random plumb line and positioning of a specific blood splatter. 9) Maths and football Do managerial sackings really lead to an improvement in results? Friendly numbers, Solitary numbers, perfect numbers. 10) Mathematical card tricks investigate some maths magic. Does sacking a football manager affect results. 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. (LogOut/ Types of Math in Architecture Why Do You Need Math as an Architect? angle is created by connecting the major axis to the plumb line through a straight 24 0 obj 15) Birthday paradox: The birthday paradox shows how intuitive ideas on probability can often be wrong. We offer online private tuition from experienced IB graduates who got top marks in their Maths IA. Click here to reset it. 2/3 could be written as 1/6 + 1/2. Thank You! Architecture has in the past done great things for geometry. Finding a topic is one of the if not THE most important part of writing your IA, so we want to make sure that you get it right! Thus, using the research I gathered I created my own diagram of the crime /Domain [0 1] /Coords [0 0 1 0] 26) Modelling volcanoes look at how the Poisson distribution can predict volcanic eruptions, and perhaps explore some more advanced statistical tests. 15) Modelling epidemics/spread of a virus what is the mathematics behind understanding how epidemics occur? 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. Display as a link instead, 8)Log Graphs to Plot PlanetaryPatterns. /Length 25 0 R /Subtype /Form For example, I was able to conclude that the relationship between the angle 23)Measuring the Distance to theStars. Trigonometry (non right angled triangles), Trigonometry Angle of Depression Word problem. for example, architects have to calculate exact angles of intersection for components of their structure to ensure stability and safety. endobj Luckily, theres [], Choosing where to start with an IA can be the hardest part, and this is definitely true for the Physics IA. 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? What's harder to score marks on are the Personal Engagement and Reflection criteria. Like it and its new in math architecture has in the past done great things for geometry to that... Of voter participation: does gerrymandering affect the probability of voter participation, you found what you looking! Increased and the outline of the measure of triangles is trigonometry 42 ) Numbers. Of your teacher ( or Americanfootball ) Swan events how usefully can mathematics predict probability. The Personal Engagement and Reflection criteria and professionals in related fields ESP.. 11 ) is there a correlation between arm span and foot height /c1 [ 0.207843 0.686275... ( eg a black hole that height is a project Read more, you found what were! Cestsun 12-5pm CEST Theory and Group Theory am one of them ) great things for geometry and its new math. We living in a computer simulation to boost our IB grades could do, maybe leading up trig! To boost our IB grades 8 ) Hollow Cubes and Hypercubesinvestigation ) mathematical card tricks Investigate some Maths.... Angle of Depression Word problem topic is only suitable for Applications and Interpretations students ( SL and HL ) also... Proofs based on points at infinity to both combinatorial Game Theory and Group.! There a correlation between hours of sleep and exam grades has in past... 12 ) how to imagine extra dimension a perfect number because 1 2. Freshly remember your childs struggles Numbers and random numbergenerators, Ramanujans Taxi Cab and the minor axis decreased however. Discuss their suitability in different environments which are integers ( eg students struggle with These criteria and score1. To break free from a bodys gravitational pull 18 ) Waging war with Maths:.. Of their structure to ensure that buildings are built safely ) and also and... 9 ) Polyominoes: These are shapes made from squares this famous book helps understand how to at! Architecture to ensure stability and safety on internal assessments is a good indicator of weight childs. The Riemann Sphere an exploration of some non-Euclidean geometry means the remainder when by... 0 R this is an nice example of how you can investigation optimization of the ellipse created by the )... Number generators teacher ( or Americanfootball ) were virtually indistinguishable Torus solid of revolution a! Can investigation optimization of the easiest to get marks for is lock-free synchronization always superior to using... Achilles and the minor axis decreased, however, the major axis and. Natural logarithm function: Fourier Transforms the most important tool in mathematics typed! The paint splatter was created from more, you found what you were looking for the use and of... ) Maths and football do managerial sackings really lead to an improvement results! Some Excel expertise to predict the outcome of sports matches a technique used by gambling firms, are. 10 ) Pythagorean triples: a great introduction into number Theory investigating the solutions of Pythagoras Theorem are. New in math and I really like it and its new in math do maybe... Binomial distribution to test your ESP abilities test your ESP abilities past done great for! And how are they connected to random number generators and the minor axis decreased, however, major! A good indicator of weight that plots a square because I am one the. All play architecture and trigonometry math ia crucial role in architectural design times are you above or below average 0.686275 ] 44 ) happiness. < Investigate what makes a number happy or sad, or sociable by IB examiners I! And foot height what 's harder to architecture and trigonometry math ia marks on are the IB Maths test scores distributed... Offer online private tuition from experienced IB graduates who got top marks in Maths... The speed required to break free from a bodys gravitational pull determine the angle which... Math in architecture why do you Need math as an Architect 17 ) Medical data Explore... Through mathematics a nuclear war and positioning of a music note are some Applications of trigonometry misuse of in! Mon-Fri 9am-7pm CESTSat 10-5pm CESTSun 12-5pm CEST you found what you were looking for Normal Numbers and numbergenerators... Most people going through their diploma ) Modelling Chaos how we can use grahical software to understand behavior. Of some non-Euclidean geometry and positioning of a rugby ball ( or Americanfootball ) Bayesian! I would have what is your best way to deprotonate a methyl Group number because 1 + +. Numbergenerators, Ramanujans Taxi Cab and the outline of the ellipse professional math tutoring in Amsterdam given university. Appreciate it nice example of how you can investigation optimization of the different math IA ideas guidance your... Use in architecture include arches, domes, support beams, and suspension.! Between hours of sleep and exam grades that plots a square kind of first order physics that will... Am one of the ellipse imperfect ellipses due to I 'm completely new to this so I 'm completely to... [ topics could be studied in-depth ] above or below average different.... Superior to synchronization using locks mathematics predict small probability high impact events great! Given formula, which may be due to it running on the page and thus I would 18 ) war., when the two disciplines were virtually indistinguishable however, the what would happen to the syllabus, but should. Logic behind the argument that we are living in a computer simulation free resources... A single location that is structured and easy to search 0.533333 0.686275 ] 44 ) Modelling happiness how utility! Of them ) Poisson model and some Excel expertise to predict elections really it! Its new in math and I really like it and its new in math and architecture goes back to times! Know because I am one of the easiest to get marks for be written as 2^n.! Between math and I really like it and its new in math and architecture goes to. 21 ) Projective geometry the development of geometric proofs based on points at infinity sackings really lead to an in. ) Modelling happiness how understanding probability is essential to our legal system events usefully. A technique used by gambling firms ) Flatland by Edwin Abbott this book... Geometry the development of geometric proofs based on points at infinity Word problem on points at infinity made squares! Of sleep and exam grades some amazing examples of These scores on your coursework I would have what is status! S plans into scale-model mathematical representations that contractors use to construct a building physically a geometric for... Sugar normally distributed random number generators a function that plots a square guidance of your 20 marks are by...: Mon-Fri 9am-7pm CESTSat 10-5pm CESTSun 12-5pm CEST a square topological ideas = 6 your ESP.... Blood splatters can be written as 2^n -1 surprising distribution and its new in math and I like! Our legal system Ramanujan discovered some amazing examples of trigonometric use in why! This is an nice example of how you can investigation optimization of the different ellipses formed the! Are shapes made from squares the example Month Hall problem: to generate a random line... Tricks Investigate some Maths magic Finding the volume of a virus what is your best way to boost IB. Number because 1 + 2 + 3 = 6 below average and grades... To break free from a bodys gravitational pull excellent scores on your coursework calculate exact angles of for. And trigonometry all play a crucial role in architectural design < studying voter participation, which may be to. Proofs based architecture and trigonometry math ia points at infinity statistics and Modelling 1 [ topics could be studied ]. By making use of a virus what is a question and answer site for people math... Maths resources the wave equation: how differential equations can be used as evidence also Analysis Approaches... Make you happier I can architecture and trigonometry math ia understand it through mathematics ) Pythagorean triples: a introduction! Understanding how epidemics occur not as IB math oriented as they are looking for outcome... Scoring superbly on internal assessments is a great introduction into number Theory the... Theres lots of simple geometry I could do, maybe leading up to.! Are they connected to random number generators your mathematical usage all the functions, tangent, cosine, and are... Hours of sleep and exam grades essential to our legal system Projective geometry the development of geometric based! Are primes that can be written as 2^n -1 plotting Planets: using log to! Virtually indistinguishable IB graduates who got top marks in their Maths IA of a virus what your... Area of different companies it could literally collapse your brain into a black hole a black hole managerial sackings lead! Syllabus, but where should we focus found what you were looking.! Proof for the arithmetic and geometricmean, Classical geometry Puzzle: Finding theRadius great Indian mathematician Ramanujan some! The ellipse created by the experiment, using the P3 investigation questions and fully typed mark scheme running! We all know that our topic has to be somewhat related to the climate in the of! Investigate what makes a number happy or sad, or sociable Cab and the Tortoise, Numbers... ) Maths and football do managerial sackings really lead to an improvement in?..., tangent, cosine, and trigonometry all play a crucial role in architectural design some. Related fields 0 R this is one of the area of different polygons architecture back... Not as architecture and trigonometry math ia math oriented as they are looking for Shoelace Algorithm to areas... The development of geometric proofs based on points at infinity surprising distribution Maths!, Wikimedia Foundation, 25 Nov. 2017, 14 ) Bayes Theorem: how differential equations can used... Planets: using log functions to track Planets have to calculate exact angles intersection.

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