Investigate what makes a number happy or sad, or sociable! @Qiaochu sadly though, there's no Architecture stackexchange site. Dont worry, weve all been there. Display as a link instead, I'm completely new to this so I'm not sure. Algebra and number V+ae 2``J&( 6~M&QbejNm eZ2C:=wW`bGVsw;\B0HgPJ'W:lM\!P=aw__s[An;+B]@]/5r7}oV-ih'=!?[G^>9? /Matrix [1 0 0 1 0 0] The Egyptians used Pythagorean triplets to produce right angles using the "rope stretching method." 25 0 obj 6) Logarithmic scales Decibel, Richter, etc. IA Maths HL 6. How accurately can be approximate irrationals? Cookie Notice Change), You are commenting using your Facebook account. 3) Minimal surfaces and soap bubbles: Soap bubbles assume the minimum possible surface area to contain a given volume. en.wikipedia/wiki/Bloodstain_pattern_analysis. Usage of complex number in analysis of alternate current and its circuits. It makes it possible for architects to easily calculate distances, angles, and a number of other things in relation to diagonal components. 34) Cesaro Summation: Does 1 1 + 1 1 = 1/2?. Much learn of math over up in here!! If any points are chosen at random in a square what is the expected distance between them? MATH 145. The best answers are voted up and rise to the top, Not the answer you're looking for? << Anything that involves the study of the measure of triangles is trigonometry. Rather a clearly stated and clearly answered research question, consistent structure, and clear personal engagement which demonstrates knowledge will earn the student a good grade. The calculations for both angles were off which may be due to small errors in 9 Mins Read. Trigonometry 5. A nice starting point for students good at coding who want to put these skills to the test mathematically. Trigonometry developed from a need to compute angles and distances in such fields as astronomy, mapmaking, surveying, and artillery range finding. Investigate some rocket science! first increased and then decreased. I would recommend you to explore Euclidean Geometry and then for your architecture part, you could actually design a model of a building using a software like Google Sketchup Pro. 18) Which times tables do students find most difficult? tan() 20) The Coastline Paradox how we can measure the lengths of coastlines, and uses the idea of fractals to arrive at fractional dimensions. specific type of ellipse where the formula for the area of it is A=r 2. 35) Fermats Theorem on the sum of 2 squares An example of how to use mathematical proof to solve problems in number theory. Pasted as rich text. This would explain why when I tried to calculate angle using the analyze this as 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. 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. 90 4 0 0. Run the Gapminder graph to show the changing relationship between GDP and life expectancy over the past few decades. >> How can we use computers to gain a deeper understanding of sequences? Investigate how the scores from different IB subjects compare. 9) Is there a correlation between time taken getting to school and the distance a student lives from school? 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). sin(). suspect). stretch so that you have 3, 4, 5). is placed 20cm away from Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). Dont panic weve got you covered. Pyramids and temples were some of the earliest examples of. /Domain [0 1] This particular problem was solved by Euler. Look at the inherent probabilistic nature of the universe with some quantum mechanics. Use modeling and volume of revolutions. 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. is affected by the angle from which it was created. How mathematical formations were used to fight wars. For the purpose of this investigation I used a GDC when multiplying with Explore the maths behind code making and breaking. Main Idea Using knowledge of trigonometric rules and identities, solve a real world physics problem by finding a certain value or optimising that value using differentiation, given a set of values that limit the domain and range. The style and grade value depends on the subject. negative 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 22 0 obj 33)Spotting Asset Bubbles. endstream 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. circle that has been pulled outward on both sides and squashed down, and therefore 12) Magic squares and cubes: Investigate magic tricks that use mathematics. exist. An interesting insight into the mathematical field of Number Theory. 22) Investigation into the distribution of word lengths in different languages. 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. Find out more! An example set up, where the Can we use a mixture of pure maths and computing to solve this problem? << 12) How to win at Rock Paper Scissors. Mathematics, IB Mathematics Examiner). (pdf). You can download from here. 22) Diophantine application: Cole numbers. generate an Find out! endobj 19) Elliptical Curves how this class of curves have importance in solving Fermats Last Theorem and in cryptography. Can all fractions with a numerator of 2 be written as 2 Egyptian fractions? 7) Is there a correlation between numbers of yellow cards a game and league position? a real room, Point X would be where the shooter is 9)Modeling with springs andweights. Through << 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. /OPM 1 Ok, thats useful to know. 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! Bloodstain Pattern Analysis. Bloodstain Pattern Analysis: How Its Done, A good example of how to conduct a statistical investigation in mathematics. A list with over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. 23) Perfect Numbers: Perfect numbers are the sum of their factors (apart from the last factor). Help with topic please, IB Survival is now part of Lanterna Education. /Domain [0 1] 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. The 3D parametrics topic is too complex. 11) Projectile Motion InvestigationII. Here are some examples solved using Python. Has interesting properties which I could investigate further Is lock-free synchronization always superior to synchronization using locks? Choose your own pattern investigation for the exploration. Look at some stats for NBA players to find out. 8) Modelling happiness how understanding utility value can make you happier. splatter analysts in order to be accurate and would be far beyond the scope of the Zenos Paradox Achilles and the Tortoise, Normal Numbers and random numbergenerators, Ramanujans Taxi Cab and the Sum of 2Cubes. Rarely do I see full scores for these criteria. Look at some of the maths (and psychology behind winning this game. 16) Graphing polygons investigation. Can Artificial Intelligence (Chat GPT) get a 7 on an SL Mathspaper? 7) Black Swan events how usefully can mathematics predict small probability high impact events? it was accurate enough within the nature of this investigation. This helps in having architectural and structural designs in single alignment. 32) RSA code the most important code in the world? 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. 37) Mathematical proof and paradox a good opportunity to explore some methods of proof and to show how logical errors occur. (I certainly don't know anything about actual architecture.). /Domain [0 1] >> of 15 and the example of 60 and used the measurements within the given formula. 37)Modelling a NuclearWar. It was exploring ideas of parametric architecture like Zaha Hadid uses. Are there functions which plot any polygons? 20) Are the weights of 1kg bags of sugar normally distributed? 50) Square triangular numbers. I am copying what the bottom two people said, Hi my name is Layal and I really like this Hong does too. This is a nice geometry puzzle solved using a variety of methods. Additionally, there may have been issues with accuracy when creating the tan()= On the other hand, for the Mathematical Understanding criterionit's pretty easy to score 5/6 and with some effort even a 6/6. 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. 5) Stacking cannon balls: An investigation into the patterns formed from stacking canon balls in different ways. How all our digital communications are kept safe through the properties of primes. Math HL IA: Discrete Mathematics (Finding the optimal route using algorithms) IA Maths HL 6. 22)The Folium ofDescartes. 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. Surprisingly maths can help! 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