Month Hall problem: We can use a matrix representation of complex numbers to test whether Eulers identity still holds. 40) Finding focus withArchimedes. Trig functions to express waves. The calculations for both angles were off which may be due to small errors in Geometry has an impact on our day-to-day life. On the other hand, for the Mathematical Understanding criterionit's pretty easy to score 5/6 and with some effort even a 6/6. An essential component of JPEG, DNA analysis, WIFI signals, MRI scans, guitar amps find out about the maths behind these essential technologies. /SA true area of the ellipse. 11) The Monty Hall problem this video will show why statistics often lead you to unintuitive results. 2)Solving maths problems usingcomputers computers are really useful in solving mathematical problems. Neither angle worked with the given formula, which may be due to the experiment. liquid often formed imperfect ellipses due to it running on the page and thus I would We look forward to joining the Lanterna and being part of your success. 11) Mersenne primes: These are primes that can be written as 2^n -1. /OPM 1 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. Much learn of math over up in here!! How do you even choose a topic? Change). 11) Projectile Motion InvestigationII. 44)Modelling Chaos how we can use grahical software to understand the behavior of sequences. Proof doesnt always have to be algebraic. It involves understanding the modulo operation. lmboyer04, 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). 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. Friendly numbers, Solitary numbers, perfect numbers. 4 Salman Faris analyze this as for example, architects have to calculate exact angles of intersection for components of their structure to ensure stability and safety. The link between math and architecture goes back to ancient times, when the two disciplines were virtually indistinguishable. Use the Guardian Stats data to find out if teams which commit the most fouls also do the best in the league. equation that Therefore I needed to graph the points in order to 16) Hyperbolic functions These are linked to the normal trigonometric functions but with notable differences. Topology: when a coffee mug and a donut are one and the same. 9) Does finger length predict mathematical ability? are examples of log scales investigate how these scales are used and what they mean. of 15 and the example of 60 and used the measurements within the given formula. 12) Is there a correlation between blood alcohol laws and traffic accidents? Also look at how the Championship compares to the Premier League. Which times tables do students find most difficult? horizontally. How many different ways can we use to solve a number theory problem? P3 investigation questions and fully typed mark scheme. On 9/20/2016 at 10:41 AM, IB Math Helper said: Architecture math IA? 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. 3)Galileo: Throwing cannonballs off The Leaning Tower ofPisa Recreating Galileos classic experiment, and using maths to understand the surprising result. (LogOut/ /SA true Arithmetic 7. axis increases as the angle of impact increases, which in relation affects angle as 23 0 obj 18)Waging war with maths: Hollowsquares. 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! Explore this famous number theory puzzle. the errors in the experiment, as often as the angle increased it was harder to get the Now, Let's Look Into the Different Math IA Ideas. 1. NOTE: These topics are purely meant as inspiration and are not to be chosen blindly. Suitable forApplications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). 6) Mandelbrot set and fractal shapes: Explore the world of infinitely generated pictures and fractional dimensions. 45) The Mordell Equation. Thankfully, weve asked some of our favourite IB graduates for some of the ideas they pursued! Before construction workers can build a habitable structure, an architect has to design it. Rajchgot, Jenna. Two trigonometry homework problems - details appreciated! Too many to name. 45 2 1 2. Probability and Statistics 6. I need some good quality feedback on my exploration paper! 6) Batman and Superman maths how to use Wolfram Alpha to plot graphs of the Batman and Superman logo. You can, of course, choose other topics that meet your requirements. 15) Birthday paradox: The birthday paradox shows how intuitive ideas on probability can often be wrong. The wave equation: how differential equations can be used to find the shape of a music note. forensicsciencesimplified/blood/how.html. 17) Graphing Stewie from Family Guy. Using transformation of graph to model real life like rainfall, Finding a general formula for area of triangle, then plotting with GeoGebra, Has interesting properties which I could investigate further, projectile to hit exact position, "monkey problem", However, quite well documented and may involve too much physics, Using transformation of functions to model rate of reaction, Then find derivative to determine behaviour and compare, Finding the optimum function of a water container given constraints, Must be relatively complex function, not just a linear or quadratic since these involve mathematics not commensurate with the HL math course, Most likely volume, since this will be a cubic function. What would happen to the climate in the event of a nuclear war? 26)Plotting the MandelbrotSet using Geogebra to graphically generate the Mandelbrot Set. Is there a correlation between height and weight? Registration confirmation will be emailed to you. minor axis. Look at some stats for NBA players to find out. 23) Modelling music with sine waves how we can understand different notes by sine waves of different frequencies. /Bounds [0.987198] By rejecting non-essential cookies, Reddit may still use certain cookies to ensure the proper functionality of our platform. 21 0 obj If you have an account, sign in now to post with your account. 29) The Riemann Hypothesis one of the greatest unsolved problems in mathematics worth $1million to anyone who solves it (not for the faint hearted!). Privacy Policy. An architect's model of 30 St Mary Axe. 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. it was accurate enough within the nature of this investigation. 20) Are the weights of 1kg bags of sugar normally distributed? The 3D parametrics topic is too complex. comprehend the relationship between these points and thus how the area of the ellipse first increased and then decreased. Of all the functions, tangent, cosine, and sine are the most necessary because they allow an . 8) Modelling happiness how understanding utility value can make you happier. This is a function which is used in Quantum mechanics it describes a peak of zero width but with area 1. What is the best way to deprotonate a methyl group? Whether you are building an arch, dome, roller coaster, or suspension bridge, trigonometry will help the architect produce a scale model (mathematical representation) for a constructor. Posted on 25 fevereiro, 2023 by . 3) Minimal surfaces and soap bubbles: Soap bubbles assume the minimum possible surface area to contain a given volume. /op true = -1/12 ? 16) Are a sample of student heights normally distributed? . Premier League wages and league positions. Look at some of the maths (and psychology behind winning this game. sin(). Why e is base of natural logarithm function: Fourier Transforms the most important tool in mathematics? Trigonometry functions are used to calculate heights of structures, light angles, exact intersection angles. Figure 1: 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. 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. 4) Genetics Look at the mathematics behind genetic inheritance and natural selection. /FunctionType 2 Maths is closely connected with astronomy see how we can work out the distance to the stars. Any suggestions? accurate; however, through performing this experiment I can better comprehend the Maths can be used to both make these codes and break them. 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. University, math.cornell/~numb3rs/jrajchgot/506f. 30) Can you solve Oxford Universitys InterviewQuestion?. << They are useful for modelling more complex shapes. The first order physics that you are talking about is fine by IB examiners (I know because I am one of them). It only takes a minute to sign up. Give us the email address you use to log in to Lanterna and well send you instructions for resetting your password. Is Bitcoin going to keep rising or crash? understand the Just read on! endobj 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. Investigate how binary is used link to codes and computing. Here is a list of 25 possible topics that serve as great math IA ideas. Find out how! Thank you. 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). 35) Sphere packing how to fit spheres into a package to minimize waste. 3) Is there a correlation between arm span and foot height? We offer, how to structure and format your Maths IA. A list with over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. The unit will begin with the history of bridges, discuss some famous bridges, disasters and bridge facts, explain the basic types of bridges, bridge . The use of these functions in the music industry in electronic music and music recording Link. Hi would investigating the formula 1 racing strategy using game theory and monte carlo simulation be a good enough topic for hl? 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. Listen to the sounds that different sine waves make. Just wondering, what score did you receive on this IA? An interesting insight into the mathematical field of Number Theory. How mathematical formations were used to fight wars. We know that adult population heights are normally distributed what about student heights? Figure 5: Graph showing the correlation between angle ellipse was formed and the This topic links to graph theory. 6) Square Triangular Numbers. 10)Is Intergalactic space travelpossible? If you are a teacher then please also visit my new site: intermathematics.com.
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