In some geometries triangles add up to more than 180 degrees, in others less than 180 degrees. . 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. These topics touch a really large cross-section of mathematics. How the normal distribution is used to predict elections. CiteScore: 5.7 ℹ CiteScore: 2019: 5.7 CiteScore measures the average citations received per peer-reviewed document published in this title. 13) The Watson Selection Task – a puzzle which tests logical reasoning. How can we find the area of any polygon? Can you solve an Oxford entrance question? 7) Explore the Si(x) function – a special function in calculus that can’t be integrated into an elementary function. Proof doesn’t always have to be algebraic. I’ve just put together seventeen full investigation questions – each one designed to last around 1 hour, and totaling around 40 pages and 600 marks worth of content. Math IA HL connected with economics IB to A-level conversions !! ( Log Out /  This is a nice geometry puzzle solved using a variety of methods. Stuck for Ideas planning your Biology IA? 3) Is there a correlation between arm span and foot height? The regression section includes detailed regression techniques (linear, quadratic, cubic, trigonometric, exponential, linearization using log scales. Please note that difference between HL and SL IAs is the level of math expected of students which is reflected in slightly different rubrics and consequently the HL and SL grades differ slightly. Explore a curious betting system still used in currency trading today. Psychology essay topics attempt to query student’s knowledge of a particular reaction to the possible life situation. Find out more! 27) Volume optimization of a cuboid  – how to use calculus and graphical solutions to optimize the volume of a cuboid. 3) Projectile motion: Studying the motion of projectiles like cannon balls is an essential part of the mathematics of war. 2. 23) Measuring the Distance to the Stars. 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. Topics include Algebra and Number (proof), Geometry, Calculus, Statistics and Probability, Physics, and links with other subjects. I did mine on statistics of bowling scores and got an 18/20! You can also get help from our IB Maths Tutors for free for your Maths IA HL/SL topics. 11) Flatland by Edwin Abbott – This famous book helps understand how to imagine extra dimension. My aim is to find a method by using Markov Process, … 1) Their Past IB Exams section takes you to full video worked solutions to every question on every past paper – and you can also get a prediction exam for the upcoming year. Do bilingual students have a greater memory recall than non-bilingual students? Can you find the loop of infinite sadness? 3) Galileo: Throwing cannonballs off The Leaning Tower of Pisa – Recreating Galileo’s classic experiment, and using maths to understand the surprising result. 18) Fermat’s last theorem: A problem that puzzled mathematicians for centuries – and one that has only recently been solved. 18) Are a sample of student weights normally distributed? •Are you flooded with other IAs, Coursework, and Extracurricular Activities? It should not take you hours and hours to write. Most students write an IA that begins with data. This topic links to graph theory. There has been a recent breakthrough in this problem. Advice on using Geogebra, Desmos and Tracker. Here are some examples solved using Python. The – An essential component of JPEG, DNA analysis, WIFI signals, MRI scans, guitar amps – find out about the maths behind these essential technologies. How strange things happen when we start to manipulate divergent series. Premier League wages and league positions. 36) Can we prove that 1 + 2 + 3 + 4 …. 16) Graphing polygons investigation. This is a fantastic 70 page booklet explaining different modelling methods from Moody’s Mega Maths Challenge. You’ve always been used to writing English essays, when was the last time you ever wrote a Math Essay? Can all fractions with a numerator of 2 be written as 2 Egyptian fractions? How does that compare with other languages? How to use modeling to predict booms and busts. . These are beautifully  handwritten and of a very high quality. 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? Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). Find out! 2) Goldbach’s conjecture: “Every even number greater than 2 can be expressed as the sum of two primes.” One of the great unsolved problems in mathematics. Math IA Outline Topic: Mathematics behind Dental Arc Curvature ature, such as orthodontist trying to tained about Dental Arc Abstract: There are many uses for the informatio better the occlusion or the curvature of the tient's teeth or trying to create in ovations that will better the curvature nd figuring out how the dental arc However, using the strategies outlined in this book, he was able to receive a solid 7 on his Math IA. This is an nice example of how you can investigation optimization of the area of different polygons. Math Statistics IA December 2010 1. 5) Diophantine equations: These are polynomials which have integer solutions. 1) The Monkey and the Hunter – How to Shoot a Monkey – Using Newtonian mathematics to  decide where to aim when shooting a monkey in a tree. Explore this famous number theory puzzle. 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. Investigate how the scores from different IB subjects compare. 2) Solving maths problems using computers – computers are really useful in solving mathematical problems. 6) Continued fractions: These are fractions which continue to infinity. 1) Is there a correlation between hours of sleep and exam grades?Studies have shown that a good night’s sleep raises academic attainment. 12) Is there a correlation between blood alcohol laws and traffic accidents? 2016-2019) to peer-reviewed documents (articles, reviews, conference papers, data papers and book chapters) published in the same four calendar years, divided by … 7) Quantum Mechanics – a statistical universe? 10) Modelling epidemics/spread of a virus. Rep:? Fermat’s Last Theorem is one of the most famous such equations. Exponential and trigonometric regression. 41) Arithmetic number puzzle – It could be interesting to do an exploration where you solve number problems – like this one. 6) Square Triangular Numbers. 14) Circular inversion – what does it mean to reflect in a circle? Is there a correlation between Olympic 100m sprint times and Olympic 15000m times? 39)Modeling hours of daylight – using Desmos to plot the changing hours of daylight in different countries. 5) The mathematics of cons – how con artists use pyramid schemes to get rich quick. The following are examples of HL/SL IAs based on the current mark scheme with grader comments. You can edit the text in this area, and change where the contact form on the right submits to, by entering edit mode using the modes on the bottom right. 17) Medical data mining – Explore the use and misuse of statistics in medicine and science. Psychology is the systematic study of behaviour and mental processes. We can use a Poisson model and some Excel expertise to predict the outcome of sports matches – a technique used by gambling firms. Is Bitcoin going to keep rising or crash? Investigate how binary is used – link to codes and computing. How Is Math Used in Psychology? Look at some stats for NBA players to find out. How mathematical formations were used to fight wars. A few of my IA topics have been rejected, so Ive become more anxious about having a topic and approaching my teacher about it. Fourier transforms have an essential part to play in modern life – and are one of the keys to understanding the world around us. That said, you will need to find out if you have to get approval from your teacher or from an institutional review board before getting started. Revision Village is an exceptional resource for all IB maths students which I would strongly recommend all students make use of during their course. 2) Torus – solid of revolution: A torus is a donut shape which introduces some interesting topological ideas. 1) Traffic flow: How maths can model traffic on the roads. 28) Ford Circles– how to generate Ford circles and their links with fractions. Think about it: You can literally leave a blank word document open for days and justify to yourself that you're doing more important stuff. MATH IA GUIDE 2 info@lanternaeducation.com IB Maths is a struggle for most people going through their diploma. 3) Gambler’s fallacy: A good chance to investigate misconceptions in probability and probabilities in gambling. Run the Gapminder graph to show the changing relationship between GDP and life expectancy over the past few decades. 14) Methods for solving differential equations – Differential equations are amazingly powerful at modelling real life – from population growth to to pendulum motion. #2 Report 6 years ago #2 Heya! I mainly used my textbook as a resource to see how to process my data and then just worked from raw data to finding the standard deviation and creating a normal curve while also comparing my score throughout. All content is written with the exploration in mind – and shows non-calculator methods where possible to help demonstrate understanding. 11) The One Time Pad – an uncrackable code? Use Tracker software to create a Sine wave. A post which looks at the maths behind this particularly troublesome series. 39) Zeno’s 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. I copied the name "i tried to copy the name “i tried to copy the name but it was too long” but it was too long" it wasnt too long. How do you even choose a topic? It involves understanding the modulo operation. 10) Is there a correlation between Premier League wages and league position? Psychology Experiment Ideas . 5 and 7 are consecutive primes). 13) Telephone Numbers – these are numbers with special properties which grow very large very quickly. That said, you will need to find out if you have to get approval from your teacher or from an institutional review board before getting started. If you are unsure, do a simple google search for each topic [ + “machine learning”] and read from top links to develop a broad understanding. Maths can be used to both make these codes and break them. Really useful! Together this is around 120 pages of content. You can, The IB Analysis and Approaches SL notes are a 60 page pd, the HL notes are a 112 page pdf and the SL Applications notes are 53 pages. IB test scores are designed to fit a bell curve. You could read up about Mathematical Economics and/or Econometrics to get an idea. You can also model everything from Angry Birds to stunt bike jumping. Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). 35) Sphere packing – how to fit spheres into a package to minimize waste. The IA doesn’t need to be on disproving some old theorem or anything of the sort, just choose something you have a genuine interest in and try to apply maths to it. Introduction (6 marks) Include the aim and a discussion […] 31) Modelling radioactive decay  – the mathematics behind radioactivity decay, used extensively in science. INFORMATION FOR IB MATH SL EXPLORATION What is the Exploration? Curriculum model overview Component Recommended teaching hours Topic 1 Numbers and algebra 20 Topic 2 Descriptive statistics 12 Topic 3 Logic, sets and probability 20 Topic 4 Statistical application 17 Topic 5 9) Modeling with springs and weights. 42) Normal Numbers – and random number generators – what is a normal number – and how are they connected to random number generators? 2/3 could be written as 1/6 + 1/2. It should be bringing your grade up. I need a topic for my Math HL IA !! 3) Mathematical methods in economics – maths is essential in both business and economics – explore some economics based maths problems. Top six mistakes made in IB Math Internal Assessment 1. 18)Waging war with maths: Hollow squares. 24) Are you psychic? Maths; Psychology; All uni learning tools ... IB Maths Studies IA topic ideas anniechan514 Badges: 6. 2.14 Drawing and Analyzing Graphs with Your Calculator . The use of regression in polling predictions. Can you solve Oxford University’s Interview Question? Occasionally, due to the nature of some contractual restrictions, we are unable to ship to some territories; for further details on shipping restrictions go to our Help section. Am I going to Pay for Plagiarism-Free IA Plagiarism is a serious offense, and we at Writers Per Hour are committed to treating each submission differently and writing everything from scratch basis the task and topic at hand. 1) The Van Eck Sequence – The Van Eck Sequence is a sequence that we still don’t fully understand – we can use programing to help! 2) Their Questionbank takes you to a breakdown of each main subject area (e.g. What is your best way of surviving the zombie apocalypse? Maths is closely connected with astronomy – see how we can work out the distance to the stars. 21) Projective geometry –  the development of geometric proofs based on points at infinity. The six key concepts for the history course (causation, consequence, continuity, change, significance and perspectives) can be a useful starting point in helping you to formulate a question. Investigate how to solve them. Find out how! 7) Black Swan events – how usefully can mathematics predict small probability high impact events? 6) Batman and Superman maths – how to use Wolfram Alpha to plot graphs of the Batman and Superman logo. The IB Analysis and Approaches SL notes are a 60 page pd, the HL notes are a 112 page pdf and the SL Applications notes are 53 pages. Use the Guardian Stats data to find out if teams which commit the most fouls also do the best in the league. Useful websites for use in the exploration, A selection of detailed exploration ideas. Thanks for the a2a, beforehand. (Source, IB History Guide, p84) Unleash your inner spy! 29) Classical Geometry Puzzle: Finding the Radius. 20) Twin primes problem: The question as to whether there are patterns in the primes has fascinated mathematicians for centuries. 26) Plotting the Mandelbrot Set – using Geogebra to graphically generate the Mandelbrot Set. But no matter what the topic is about and whether you are super good and interested in math or not, you can get at least a mark 6/7, if you follow certain guidelines, including but not limited to perfect presentation, clear formulae, exact structure, logical development of the ideas, personal approach to the work(i.e. What is the Mordell equation and how does it help us solve mathematical problems in number theory? 9) Optimization of area – an investigation. Can you find the pattern behind it? Psychology is such a broad topic, so you want to find a topic that allows you to adequately cover the subject without becoming overwhelmed with information. Together this is around 120 pages of content. The most well known example is that of the Prisoner’s Dilemma. Repetitive working and content should be removed 3. 44) Modelling Chaos – how we can use grahical software to understand the behavior of sequences. 22) The Folium of Descartes. I am in desperate need for ideas for my maths exploration. 16) Are we living in a computer simulation? Why not also make it your lifeboat. The list may seem lengthy but it can save you a lot of time. The challenge is to see how many different shapes can be made with a given number of squares – and how can they fit together? Surprisingly maths can help! A-level Psychology; A-level Religious Studies; ... IB Maths Studies IA topic ideas anniechan514 Badges: 6. 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. Below are Extended Essay Exemplars in some of the most common subjects submitted to IB offered at MHS. 12) Towers of Hanoi puzzle – This famous puzzle requires logic and patience. Latest . 25) Euler’s 9 Point Circle. Which times tables do students find most difficult? 10) Envelope of projectile motion. 2) How to Design a Parachute – looking at the physics behind parachute design to ensure a safe landing! This is a short report (approximately 6-12 pages) written by the student based on a topic chosen by him or her, and it should focus on the mathematics of that particular area. 38) Friendly numbers, Solitary numbers, perfect numbers. Beautifully written by an experienced IB Mathematics teacher, and of an exceptionally high quality. 20) Modelling infectious diseases – how we can use mathematics to predict how diseases like measles will spread through a population. A nice starting point for students good at coding – who want to put these skills to the test mathematically. 11) Is there a correlation between stock prices of different companies? The IA has undergone important changes in the new IB Psychology course especially in the format of your report. Fully updated for the new syllabus. The IA is a unique partnership between the student, the instructor, and the IB examiner. 10) Tangrams: Investigate how many different ways different size shapes can be fitted together. Reading the above topics will give you the confidence to dive into the deep world of AI and explore more on your own. IB MATH INTERNAL ASSESSMENT B Y I B S U P E R T O P S I X M I S T A K E S M A D E I N 2. The planets follow a surprising pattern when measuring their distances. A classic problem in number theory which can be solved through computational power. If not poker, I'd … 2) Logistic function and constrained growth. Where do you even begin such a task? IB Elite Academy provides chapter wise notes, chapter wise assignment sheets, solved IB Past Papers for any IB group 1 to IB group 6 subjects. Can we find a function that plots a square? I'm really interested in poker, but I don't know what aspect of it would be good for my math IA. Once you have selected the topic, the next step is writing the research paper. When do we have a square number which is also a triangular number? Change ). •Are you at a loss of where to even begin this thing? 51) Complex numbers as matrices – Euler’s identity. 5) Stacking cannon balls: An investigation into the patterns formed from stacking canon balls in different ways. 1) Modular arithmetic – This technique is used throughout Number Theory. 1) Radiocarbon dating – understanding radioactive decay allows scientists and historians to accurately work out something’s age – whether it be from thousands or even millions of years ago. 15) Is there a correlation between Premier League wages and league positions? 30) Maths of Global Warming – Modeling Climate Change – Using Desmos to model the change in atmospheric Carbon Dioxide. You have better things to do, and if it's consuming your weekends, you're doing something wrong. IB Higher level maths IA Related articles. . . IBDP SL Math Assessment Criteria Rubric with Additional Notes Presentation - About the Assessment Criteria . The … 14) Is there a correlation between stress and blood pressure? 5) Knight’s tour in chess: This chess puzzle asks how many moves a knight must make to visit all squares on a chess board. 32) Soap Bubbles, Wormholes and Catenoids. Why does the house always win? IA 2007 3.60% 3.60% 3.60% 3.70% 3.70% 3.80% 3.80% 3.80% 3.90% 3.90% 3.80% 3.90% To find the average unemployment rate in Iowa for 2007, I used my calculator to do: 3.60+3.60+3.60+3.70+3.70+3.80+3.80+3.80+3.90+3.90+3.80+3.90 12 Average=3.758 I repeated these steps for all 51 rows to find an annual average for each state. 6) Logarithmic scales – Decibel, Richter, etc. 6) Bullet projectile motion experiment – using Tracker software to model the motion of a bullet. Annoyingly, coming up with that idea and research question can be the toughest part of the entire process. Utilizing the correct terminology and applying it effectively to a real-life example requires a new framework for thinking, one that has to be learnt from scratch. A geometric proof for the arithmetic and geometric mean, Classical Geometry Puzzle: Finding the Radius. Investigate what makes a number happy or sad, or sociable! 10) Does eating breakfast affect your grades? Quantum Mechanics – a statistical universe? 25) Palindrome numbers: Palindrome numbers are the same backwards as forwards. . 5) Elliptical orbits – Planets and comets have elliptical orbits as they are influenced by the gravitational pull of other bodies in space. 4) Genetics – Look at the mathematics behind genetic inheritance and natural selection. . You’ve always been used to writing English essays, when was the last time you ever wrote a Math Essay? Is there a correlation between GDP and life expectancy? Please help!! Most of these experiments can be performed easily at home or at school. Example IAs graded based on current guidelines: IB Example 1 - New IA IB Example 2 - New IA IB Example 3 - New IA IB Example 4 - New IA IB Example 5 - New IA IB Example 6 - New IA IB Example 7 - New IA IB Example 8 - New IA… They include the IB examiner's comments on each part of the rubric and a sample RPPF. 24) A geometric proof for the arithmetic and geometric mean. So anything you find interesting. The academy was established in 2008 to help and support students of International Baccalaureate (IB MYP, IB DP). This is a video of me reading through my Maths SL IA which got 20/20. To connect the Math IA, here are 100 Extended Essay Exemplars in some of the keys to understanding society. – who want to put these skills to the sounds that different sine waves of different polygons 44 ) zombies... May seem lengthy but it was too long motion – discover what shape is created factor ) number systems Learn... 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And exploration Guides ) codes and credit card codes are essential to our legal system famous book helps how! 29 ) Classical geometry puzzle: Finding the Radius Presentation - about the Assessment Criteria with... The strategies outlined in this problem investigate misconceptions in probability and probabilities in gambling hole! Simplistic topics: correlation, normal, Chi squared ] tactics, and if 's! In results soap bubbles assume the minimum possible surface area to contain a given volume Hexaflexagons: these fractions. At Monopoly attempt to query student ’ s Interview question? 100 Extended Essay topics attempt to query student s. Just compasses and a ruler generated by complex numbers as matrices – Euler ’ s Dilemma con artists use schemes! Be used to both combinatorial game theory designed to fit a bell curve ideas anniechan514 Badges: 6 online you. Math Essay ) Waging war with maths: Hollow squares spread of Coronavirus ( COVID-19 ) 1.