Here's the general trusswiki article. 2/3 could be written as 1/6 + 1/2. Look at the inherent probabilistic nature of the universe with some quantum mechanics. Unlike the different tests, it . 48) When do 2 squares equal 2 cubes? minor axis. 16) Hyperbolic functions These are linked to the normal trigonometric functions but with notable differences. >> 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). I chose to round my answer to three significant figures, as Even though many of these topics led to high scores for some of our graduates in the past, it is important that you listen to the advice of your subject teacher before choosing any topic! allowed me to Statistics and modelling 1 [topics could be studied in-depth]. 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. 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? Can you solve an Oxford entrance question? 33) The Chinese Remainder Theorem: This is a method developed by a Chinese mathematician Sun Zi over 1500 years ago to solve a numerical puzzle. Proof doesnt always have to be algebraic. 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. 38) Friendly numbers, Solitary numbers, perfect numbers. /Functions [22 0 R 23 0 R] 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. 28)Ford Circles how to generate Ford circles and their links with fractions. understand the Still feeling confused, or want some personalised help? 12) The Riemann Sphere an exploration of some non-Euclidean geometry. 31) Modelling radioactive decay the mathematics behind radioactivity decay, used extensively in science. Suitable forApplications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). >> 17) Graphing Stewie from Family Guy. Due to the limits of this investigation, I would have IB Teacher support with intermathematics.com: A new website for teachers at international schools. Can we use a mixture of pure maths and computing to solve this problem? 7) Black Swan events how usefully can mathematics predict small probability high impact events? Is lock-free synchronization always superior to synchronization using locks? All rights reserved. This topics provides a fascinating introduction to both combinatorial Game Theory and Group Theory. 3) Projectile motion: Studying the motion of projectiles like cannon balls is an essential part of the mathematics of war. 7) Is there a correlation between numbers of yellow cards a game and league position? Is there a correlation between arm span and foot height? a real room, Point X would be where the shooter is Use computer graphing to investigate. I love music and am interested in how I can better understand it through mathematics. 10) Mathematical card tricks investigate some maths magic. 8) Finding prime numbers: The search for prime numbers and the twin prime conjecture are some of the most important problems in mathematics. Use the binomial distribution to test your ESP abilities. Your previous content has been restored. 22)The Folium ofDescartes. 2) Hexaflexagons: These are origami style shapes that through folding can reveal extra faces. Additionally, there may have been issues with accuracy when creating the Harmonic Analysis of music link. Investigate some rocket science! University, math.cornell/~numb3rs/jrajchgot/506f. /GS0 19 0 R in order to get a rounded measurement that would allow me to better analyze my 'Use of Mathematics' essentially looks at the quality of your maths and how relevant it is to the exploration. upgrading to decora light switches- why left switch has white and black wire backstabbed? We know that our topic has to be somewhat related to the syllabus, but where should we focus? It involves understanding the modulo operation. Trigonometry 5. Zenos Paradox Achilles and the Tortoise, Normal Numbers and random numbergenerators, Ramanujans Taxi Cab and the Sum of 2Cubes. For the purpose of this investigation I used a GDC when multiplying with By siging up, I agree to Lanternas Does this still hold up in 2020 with the recent changes to the rubric? To calculate the angle within the hypothetical scenario for the different The link between math and architecture goes back to ancient times, when the two disciplines were virtually indistinguishable. Do a google image search for truss roofs. This particular problem was solved by Euler. of 15 and the example of 60 and used the measurements within the given formula. (pdf). 5) Knights tour in chess: This chess puzzle asks how many moves a knight must make to visit all squares on a chess board. The other idea I had was too complicated and there was no research question I could come up for it. Applications of super-mathematics to non-super mathematics, Dealing with hard questions during a software developer interview. 4)Whats so special about 277777788888899? 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). What is the geometric shape of soap bubbles? the blood splatters. 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. Premier League wages and league positions. It makes it possible for architects to easily calculate distances, angles, and a number of other things in relation to diagonal components. Click here to reset it. IB Maths is a struggle for most people going through their diploma. A list with over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. If you are a teacher then please also visit my new site: intermathematics.com. Look into different truss designs and discuss their suitability in different environments. This is a lovely construction using just compasses and a ruler. Geometry, the word brings images of lines, points, circles, squares, and other shapes and forms to one's mind. Probability and Statistics 6. V+ae 2``J&( 6~M&QbejNm eZ2C:=wW`bGVsw;\B0HgPJ'W:lM\!P=aw__s[An;+B]@]/5r7}oV-ih'=!?[G^>9? 13) Different number systems Learn how to add, subtract, multiply and divide in Binary. Reddit and its partners use cookies and similar technologies to provide you with a better experience. La relation qui existe entre pi et la distribution des nombre premiers. Your Internal Assessment (IA) is a project that you will have to complete in all your IB classes. By I am copying what the bottom two people said, Hi my name is Layal and I really like this Hong does too. 4)Rocket Science and Lagrange Points how clever mathematics is used to keep satellites in just the right place. Do bilingual students have a greater memory recall than non-bilingual students? All content on this site has been written by Andrew Chambers (MSc. 42) The Martingale system paradox. 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. Just wondering, what score did you receive on this IA? Friendly numbers, Solitary numbers, perfect numbers. /Length 25 0 R September 18, 2016 in Maths SL. 29) The Riemann Hypothesis one of the greatest unsolved problems in mathematics worth $1million to anyone who solves it (not for the faint hearted!). 20) The Coastline Paradox how we can measure the lengths of coastlines, and uses the idea of fractals to arrive at fractional dimensions. Math IA Ideas (Geometry (Using trigonometry to identify the structural: Math IA Ideas (Geometry, Other, Functions, Statistics, Other ) 8)Hollow Cubes and Hypercubesinvestigation. the experiment. 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. There has been a recent breakthrough in this problem. A possible extension to this exploration would involve doing this experiment /op false So, it has played a role as long as architecture has been architecture. 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. You can post now and register later. 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? How the normal distribution is used to predict elections. Moreover, it should show that the student has learned and has been able to apply what they have learned. A good example of how to conduct a statistical investigation in mathematics. We are available: Mon-Fri 9am-7pm CESTSat 10-5pm CESTSun 12-5pm CEST. 19 0 obj 23) Modelling music with sine waves how we can understand different notes by sine waves of different frequencies. 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. paper is at 0 and the dropper The first order physics that you are talking about is fine by IB examiners (I know because I am one of them). Introduction 3, Calculating the area of an ellipse (Geometry / Algebra) 3 5, Calculating correlation between area of ellipse and angle of creation (Statistics) This amazing result can generate e through considering hyper-dimensional shapes. 11) Is there a correlation between stock prices of different companies? Architects are responsible for translating designer's plans into scale-model mathematical representations that contractors use to construct a building physically. In the case of an You can download from here. A Super Exploration Guide with 168 pages of essential advice from a current IB examiner to ensure you get great marks on your coursework. P3 investigation questions and fully typed mark scheme. preserve the idea of the shapes created by the water droplets. 8)The Remarkable Dirac DeltaFunction. 7) Mbius strip: An amazing shape which is a loop with only 1 side and 1 edge. Quantum Mechanics a statistical universe? How mathematical formations were used to fight wars. Coggle requires JavaScript to display documents. Importance of Geometry in Architecture through 20 Structures. How all our digital communications are kept safe through the properties of primes. You can download from. Using theta and "b" to find out the height of a building. A chance to look at some statistics with surprising results. Thank you. I was also able to conclude that the 36) Sierpinski triangle an infinitely repeating fractal pattern generated by code. Rarely do I see full scores for these criteria. Change), You are commenting using your Facebook account. Lost your password? Rajchgot, Jenna. >> Usage of complex number in analysis of alternate current and its circuits. /BM /Normal 6) Logarithmic scales Decibel, Richter, etc. Coggle requires JavaScript to display documents. Studies have shown that bilingual students have better working memory does this include memory recall? 10) Pythagorean triples: A great introduction into number theory investigating the solutions of Pythagoras Theorem which are integers (eg. 28) How to avoid a Troll an example of a problem solving based investigation, 29) The Gini Coefficient How to model economic inequality. I need some good quality feedback on my exploration paper! 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. 7) Sierpinksi triangle: a fractal design that continues forever. /Matrix [1 0 0 1 0 0] The use of these functions in the music industry in electronic music and music recording Link. The twin prime conjecture states that there are infinitely many consecutive primes ( eg. 25) Reaction times are you above or below average? /Sh0 20 0 R >> Privacy Policy. 4) Applications of complex numbers: The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers. 25) Palindrome numbers: Palindrome numbers are the same backwards as forwards. >> 5) Is there a correlation between GDP and life expectancy? 35) Sphere packing how to fit spheres into a package to minimize waste. Geometry has an impact on our day-to-day life. 23 0 obj 29 0 obj 3)Stacking cannonballs solving maths withcode how to stack cannonballs in different configurations. 37)Modelling a NuclearWar. 19) The Barnsley Fern: MathematicalArt how can we use iterative processes to create mathematical art? 7) Explore the Si(x) function a special function in calculus that cant be integrated into an elementary function. You can be sure trigonometry is used all over the pace when writing such software! through the major axis of the ellipse. How many different ways can we use to solve a number theory problem? 18) Are a sample of student weights normally distributed? Anything that involves the study of the measure of triangles is trigonometry. Run the Gapminder graph to show the changing relationship between GDP and life expectancy over the past few decades. endstream /FunctionType 3 Professional math tutoring in Amsterdam given by university students who freshly remember your childs struggles. Share. Use modeling and volume of revolutions. is affected by the angle from which it was created. /op true 2) Goldbachs conjecture: Every even number greater than 2 can be expressed as the sum of two primes. One of the great unsolved problems in mathematics. clearly. 19) Elliptical Curves how this class of curves have importance in solving Fermats Last Theorem and in cryptography. - Grade: A, Generalisations of Recursive Sequences Using Diagonalizations of 2 x 2 Matrices- Grade: A, Mathematical investigation of an egg - Grade: A, Math IA Finding the Shortest Cycle in the Neighborhood, IB Economics - Macroeconomics Definitions - IB 45/45 Student, IB Economics - Microeconomics Test Revision - IB 45/45 Student, Violence theme comparative IB essay 1984 vs persepolis, L.N.Gumilyov Eurasian National University, Kwame Nkrumah University of Science and Technology, Jomo Kenyatta University of Agriculture and Technology, Hibbeler - Engineering Mechanics_ Dynamics (ME-202L), Bachelors of Business Administration (BBA101), Fundamentals of accounting II (AcFn 2102), Cost and Management Accounting I (AcFn-M2091), Avar Kamps,Makine Mhendislii (46000), Power distribution and utilization (EE-312), Kotler Chapter 3 MCQ - Multiple choice questions with answers, BBM 216 Intermidiate Microeconomic Module, SMA 2231 Probability and Statistics III course outline, BANK Reconciliation Statement Questions AND Answers JUNE 2020, 340903503 Principles of Management MCQS With Answers of Stephen P, Solutions manual for probability and statistics for engineers and scientists 9th edition by walpole, English Linguistics MCQS for all Tests of English Lectureship, Financial and managerial accounting chapter 2 solution, Extra Practice Key - new language leader answers, Free download pdf 9781260175769 Theories of Personality, 10th Edition, RR3: Attitudes towards Kazakhs by Russian envoys 2/2, Assignment 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! stream Arithmetic 7. A nice starting point for students good at coding who want to put these skills to the test mathematically. Change). PS: Maybe you could re-design an existing building in your area using only triangular bases (connection to Euclidean Geometry and will help your personal engagement part). Plotting Planets: Using log functions to track planets! endobj splatter analysts in order to be accurate and would be far beyond the scope of the Choose your own pattern investigation for the exploration. 17) Chinese remainder theorem. 21 0 obj 26 0 obj 3 F.S. 13) The Tusi couple A circle rolling inside acircle. 37) Generating e through probability andhypercubes. measurements do not 45 2 1 2. 9) Designing bridges Mathematics is essential for engineers such as bridge builders investigate how to design structures that carry weight without collapse. In some geometries triangles add up to more than 180 degrees, in others less than 180 degrees. 12) Projectile Motion III: Varyinggravity. This is also a potential opportunity to discuss the Golden Ratio in nature. My new site has been designed specifically for teachers of mathematics at international schools. splatter on a wall and the angle created between 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. Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). They also calculate the probability of issues the construction team could run into . Are the IB maths test scores normally distributed? /Domain [0 1] >> 13) The Watson Selection Task a puzzle which tests logical reasoning. 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. Using a poisson distribution to model the outcome of a lottery jackpott, https://campbell.kognity.com/study/app/mathematics-hl/circular-functions-and-trigonometry-2/triangles/cosine-rule/, https://campbell.kognity.com/study/app/mathematics-hl/circular-functions-and-trigonometry-2/triangles/area-of-a-triangle/, http://www.atlasobscura.com/places/pyramid-of-cestius, http://www.michaelsheiser.com/PaleoBabble/LallyPyramid.pdf, https://campbell.kognity.com/study/app/mathematics-hl/circular-functions-and-trigonometry-2/triangles/the-big-picture/, http://cbc-wb01x.chemistry.ohio-state.edu/~woodward/ch121/ch2_atoms.htm, http://study.com/academy/lesson/bond-length-definition-formula-calculation.html, https://dashboard.dublinschools.net/lessons/?id=fe4368151f953fa93fb839172a66352e&v=5, http://intro.chem.okstate.edu/1314F00/Lecture/Chapter10/VSEPR.html, https://chem.libretexts.org/Core/Inorganic_Chemistry/Descriptive_Chemistry/Periodic_Trends_of_Elemental_Properties/Periodic_Trends_in_Ionic_Radii, https://people.richland.edu/james/lecture/m116/logs/models.html, https://campbell.kognity.com/study/app/mathematics-hl/functions-and-equations/rational-exponential-logarithmic-functions/exponential-modelling/, http://www.governing.com/blogs/by-the-numbers/most-gerrymandered-congressional-districts-states.html, http://www-personal.umich.edu/~jowei/gerrymandering.pdf, https://www.princeton.edu/ceps/workingpapers/196farber.pdf, http://www.electproject.org/home/voter-turnout/voter-turnout-data, http://cfcc.edu/faculty/cmoore/155ClassNotesSp11/155S5.4_3.pdf, https://campbell.kognity.com/study/app/mathematics-hl/statistics-and-probability/discrete-probability-distributions/the-poisson-distribution/, https://onlinecourses.science.psu.edu/stat504/node/168, https://www.galottery.com/en-us/games/draw-games/powerball.html, http://users.stat.umn.edu/~geyer/lottery/. Calculus 2. Upload or insert images from URL. 27) Could Trump win the next election? the paper. Can all fractions with a numerator of 2 be written as 2 Egyptian fractions? I find that most students struggle with these criteria and mainly score1 or 2 points for each of thesecriteria. 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. (I certainly don't know anything about actual architecture.). Is there a correlation between GDP and life expectancy? Math IA - Forensics - Mathematics internal assessment on forensic investigations, Copyright 2023 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01. Mathematics, IB Mathematics Examiner). Thus, using the research I gathered I created my own diagram of the crime /Coords [0 0 1 0] 14) Bayes theorem: How understanding probability is essential to our legal system. Look at some stats for NBA players to find out. 25)Eulers 9 PointCircle. 10) Codes and ciphers: ISBN codes and credit card codes are just some examples of how codes are essential to modern life. Find out more! 20) Twin primes problem: The question as to whether there are patterns in the primes has fascinated mathematicians for centuries. 26)Plotting the MandelbrotSet using Geogebra to graphically generate the Mandelbrot Set. For sin(60) I used What would happen to the climate in the event of a nuclear war? (found via the relationship explained below), According to Cornell University, the angles satisfy the relation (Rajchgot): 1)The Monkey and the Hunter How to Shoot aMonkey Using Newtonian mathematics to decide where to aim when shooting a monkey in a tree. Trigonometry 5. Premier League wages and league position? Maths can be used to both make these codes and break them. Just sign-up here for our tutoring services and well contact you shortly to set-up the first introductory session. I had noticed that as the angle Can we find a function that plots a square? Too many to name. endobj If any points are chosen at random in a square what is the expected distance between them? Suitable forApplications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). When do we have a square number which is also a triangular number? Use the Guardian Stats data to find out if teams which commit the most fouls also do the best in the league. /Domain [0 1] Are there functions which plot any polygons? Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). 9)Modeling with springs andweights. Figure 2: Table of values showing the lengths of the major and minor axis and the 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; . may i ask what you got on this ia? >> = -1/12 ? /Type /ExtGState This helps in having architectural and structural designs in single alignment. Explore a curious betting system still used in currency trading today. This is a nice way to link some maths history with studying an interesting function. The best answers are voted up and rise to the top, Not the answer you're looking for? Use Tracker software to create a Sine wave. 14) Circular inversion what does it mean to reflect in a circle? The wave equation: how differential equations can be used to find the shape of a music note. To do /Shading << 13) Is there a correlation between height and basketball ability? The unit will begin with the history of bridges, discuss some famous bridges, disasters and bridge facts, explain the basic types of bridges, bridge . 9) Maths and football Do managerial sackings really lead to an improvement in results? 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.

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