9) Optimization of area – an investigation. The IA has undergone important changes in the new IB Psychology course especially in the format of your report. EXCESSIVE WRITING & WORKING The IB Math SL and HL guide recommends 6 - 12 pages for the Math IA. Explore a curious betting system still used in currency trading today. Investigate how binary is used – link to codes and computing. Pick a question/issue that can be answered in 12 pages; it cannot simply be a… 10) Does eating breakfast affect your grades? 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. Explore this famous number theory puzzle. 8) Is there a correlation between Olympic 100m sprint times and Olympic 15000m times? A few of my IA topics have been rejected, so Ive become more anxious about having a topic and approaching my teacher about it. 22) Modelling Zombies – How do zombies spread? This is a function which is used in Quantum mechanics – it describes a peak of zero width but with area 1. Math Studies IA Relationship Between Crime Rate and Unemployment Kaitlin Snyder February 20, 2013 Central Academy; Des Moines Public Schools Top six mistakes made in IB Math Internal Assessment 1. The most well known example is that of the Prisoner’s Dilemma. 36) Can we prove that 1 + 2 + 3 + 4 …. 35) Sphere packing – how to fit spheres into a package to minimize waste. 48) When do 2 squares equal 2 cubes? 20) The Coastline Paradox – how we can measure the lengths of coastlines, and uses the idea of fractals to arrive at fractional dimensions. 23) Perfect Numbers: Perfect numbers are the sum of their factors (apart from the last factor). This mathematical equation has been described as the most important in all of physics. Maths of Global Warming – Modeling Climate Change, Circular Motion: Modelling a Ferris wheel, Predicting the UK election using linear regression, Modelling the spread of Coronavirus (COVID-19), Finding the volume of a rugby ball (or American football). This investigates a generalized version of projectile motion – discover what shape is created. 1b) The shape of the universe – non-Euclidean Geometry is at the heart of Einstein’s theories on General Relativity and essential to understanding the shape and behavior of the universe. 14) Circular inversion – what does it mean to reflect in a circle? ... IB Psychology IA HL Exemplar: Results (Descriptive) Study Notes. Most students write an IA that begins with data. 4) Rocket Science and Lagrange Points – how clever mathematics is used to keep satellites in just the right place. II. 17) Are a sample of flower heights normally distributed? Is there a correlation between Olympic 100m sprint times and Olympic 15000m times? 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. 9) Is there a correlation between time taken getting to school and the distance a student lives from school? 15) Birthday paradox: The birthday paradox shows how intuitive ideas on probability can often be wrong. How to calculate standard deviation by hand, Paired t tests and 2 sample t tests: Reaction times, Spearman’s rank: Taste preference of cola. . Topics include Algebra and Number (proof), Geometry, Calculus, Statistics and Probability, Physics, and links with other subjects. 3) Projectile motion: Studying the motion of projectiles like cannon balls is an essential part of the mathematics of war. 6) Bullet projectile motion experiment – using Tracker software to model the motion of a bullet. 41) Finding the volume of a rugby ball (or American football). (pdf). 33) Spotting Asset Bubbles. https://ibmathsresources.com/2013/09/03/maths-ia-exploration-topics 8) Finding prime numbers: The search for prime numbers and the twin prime conjecture are some of the most important problems in mathematics. It was fun but I don't think you could get a high grade for it as a Maths IA. 13) Telephone Numbers – these are numbers with special properties which grow very large very quickly. Investigate the surprising correlation between finger ratios and all sorts of abilities and traits. 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. 3) Benford’s Law – using statistics to catch criminals by making use of a surprising distribution. 9) Polyominoes: These are shapes made from squares. 24) Are you psychic? Arthur was literally the ONLY person in his HL Math Class that got a 7 on his Math IA. 6) Handshake problem: With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? 2/3 could be written as 1/6 + 1/2. Using the SIR model to understand epidemics. 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. 16) Are we living in a computer simulation? averages: see appendix 3 4 10) Is there a correlation between Premier League wages and league position? 2) Is there a correlation between height and weight? 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. This collection contains an example internal assessment for IB Diploma Psychology for both standard and higher level. The challenge is to see how many different shapes can be made with a given number of squares – and how can they fit together? CiteScore: 5.7 ℹ CiteScore: 2019: 5.7 CiteScore measures the average citations received per peer-reviewed document published in this title. Use Tracker software to create a Sine wave. 22) The Folium of Descartes. Investigate how the scores from different IB subjects compare. Algebra, Calculus etc) and each area then has a number of graded questions. 26) Modelling volcanoes – look at how the Poisson distribution can predict volcanic eruptions, and perhaps explore some more advanced statistical tests. You can download these here. Useful websites for use in the exploration, A selection of detailed exploration ideas. Stuck for Ideas planning your Biology IA? 39)Modeling hours of daylight – using Desmos to plot the changing hours of daylight in different countries. I am in desperate need for ideas for my maths exploration. 14) Bayes’ theorem: How understanding probability is essential to our legal system. Much learn of math over up in here!! Math Statistics IA December 2010 1. Why not also make it your lifeboat. The academy was established in 2008 to help and support students of International Baccalaureate (IB MYP, IB DP). Biology extended essay topics. A lot . 45) The Mordell Equation. 29) The Riemann Hypothesis – one of the greatest unsolved problems in mathematics – worth $1million to anyone who solves it (not for the faint hearted!). We know that adult population heights are normally distributed – what about student heights? A geometric proof for the arithmetic and geometric mean, Classical Geometry Puzzle: Finding the Radius. It is now used as a saying to represent something impossible. An interesting insight into the mathematical field of Number Theory. All fully updated for the new syllabus. Are the IB maths test scores normally distributed? I would really recommend these resources for all IB students – it takes a lot of skill to successfully condense a syllabus into the essential content – and these notes really are of the highest quality. Look at some of the maths (and psychology behind winning this game. Requesting DP transcripts and certificates. Blog at WordPress.com.Ben Eastaugh and Chris Sternal-Johnson. 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. A chance to look at some statistics with surprising results. 2) How to Design a Parachute – looking at the physics behind parachute design to ensure a safe landing! Look at the Bayesian logic behind the argument that we are living in a computer simulation. Writing 4,000 words about something you are interested in is a big ask and it often feels impossible to narrow down your thoughts. -An SJI International Math teacher By Trevor Lee Math Exploration tips Read the criteria extremely carefully and clarify the meaning of things with your teacher. 4) Genetics – Look at the mathematics behind genetic inheritance and natural selection. A list with over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. Look at the inherent probabilistic nature of the universe with some quantum mechanics. Latest . IB examiners are really really strict so even if you feel your IA is good, it is always safe to get it checked by an experience personnel (like me :)) I'm an IB graduate who scored 45 pts and willing to help you guys out with anything (content/IAs/tok/ee) since exams are close by. 14) Is there a correlation between stress and blood pressure? In addition, we provide topic wise IB Assignment sheets of any given IB Subject and level offered by International Baccalaureate Diploma … Can we find a function that plots a square? This also has some harder exams for those students aiming for 6s and 7s. 15) Modelling epidemics/spread of a virus – what is the mathematics behind understanding how epidemics occur? How strange things happen when we start to manipulate divergent series. . 8) Hollow Cubes and Hypercubes investigation. 3) Stacking cannonballs – solving maths with code – how to stack cannonballs in different configurations. 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 Maths is closely connected with astronomy – see how we can work out the distance to the stars. 3) Is there a correlation between arm span and foot height? 3) Their Practice Exams section takes you to ready made exams on each topic – again with worked solutions. Proof doesn’t always have to be algebraic. 11) Understanding the fourth dimension: How we can use mathematics to imagine (and test for) extra dimensions. 29) Classical Geometry Puzzle: Finding the Radius. 35) Fermat’s Theorem on the sum of 2 squares – An example of how to use mathematical proof to solve problems in number theory. 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? 34) Cesaro Summation: Does 1 – 1 + 1 – 1 … = 1/2?. 25) Palindrome numbers: Palindrome numbers are the same backwards as forwards. In some cases, such as in a general psychology class, you might have had the option to select any topic from within psychology… Data can be gathered through: secondary research, primary research (ex: surveying), using a tool or program to generate the data, or experimentation No matter how you gather data, there is a recommended structure that is to be followed in an IA, much of which connects to your data. 18) Which times tables do students find most difficult? INFORMATION FOR IB MATH SL EXPLORATION What is the Exploration? IBDP SL Math Assessment Criteria Rubric with Additional Notes Presentation - About the Assessment Criteria . Together this is around 120 pages of content. Revision Village is an exceptional resource for all IB maths students which I would strongly recommend all students make use of during their course. 42) Normal Numbers – and random number generators – what is a normal number – and how are they connected to random number generators? 4) Is there a correlation between smoking and lung capacity? 7) Patterns in Pascal’s triangle: There are a large number of patterns to discover – including the Fibonacci sequence. Advice on using Geogebra, Desmos and Tracker. 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. 12) Magic squares and cubes: Investigate magic tricks that use mathematics. 30) Maths of Global Warming – Modeling Climate Change – Using Desmos to model the change in atmospheric Carbon Dioxide. However, using the strategies outlined in this book, he was able to receive a solid 7 on his Math IA. The IA is a unique partnership between the student, the instructor, and the IB examiner. 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. Do bilingual students have a greater memory recall than non-bilingual students? A great introduction to some of the ideas behind non-euclidean geometry. 12) Towers of Hanoi puzzle – This famous puzzle requires logic and patience. Psychology Experiment Ideas . Student research and brainstorm of interested topics Brainstorm and return to school in the fall with 3 potential topics and a short description for each. 34) The Rise of Bitcoin. 4) Bad maths in court – how a misuse of statistics in the courtroom can lead to devastating miscarriages of justice. Change ), You are commenting using your Facebook account. 10) Pythagorean triples: A great introduction into number theory – investigating the solutions of Pythagoras’ Theorem which are integers (eg. Look at how infectious Ebola really is. 15) Julia Sets and Mandelbrot Sets – We can use complex numbers to create beautiful patterns of infinitely repeating fractals. A-levels or IB: which is right for you? 10) Tangrams: Investigate how many different ways different size shapes can be fitted together. There is different types of art that depend on math. Hello! In this post, we will provide some advice about the first two section and also a PowerPoint that takes you through each element of these two sections. 10) Modelling epidemics/spread of a virus. 46) Ramanujan’s Taxi Cab and the Sum of 2 Cubes. 6) Mandelbrot set and fractal shapes: Explore the world of infinitely generated pictures and fractional dimensions. The template to the right includes links to alphabetical lists of all mathematical articles. This is an nice example of how you can investigation optimization of the area of different polygons. 11) Is there a correlation between stock prices of different companies? 300 IB Maths Exploration ideas, video tutorials and Exploration Guides. 32) RSA code – the most important code in the world? Investigate what makes a number happy or sad, or sociable! 8) The Remarkable Dirac Delta Function. 41) Arithmetic number puzzle – It could be interesting to do an exploration where you solve number problems – like this one. The English language has an average word length of 5.1 words. Any ideas on what I could do? Investigate how to solve them. 6) Continued fractions: These are fractions which continue to infinity. 42) The Martingale system paradox. Please help!! The Relationship between the Average Amount of Sleep a High school Teenager gets per School Night and the Total Average amount of Video Games played in one School Week Math Studies Internal Assessment David Batchelor Due: December 2010 International School Bangkok Teacher: Mr. DeMille Word Count: – An essential component of JPEG, DNA analysis, WIFI signals, MRI scans, guitar amps – find out about the maths behind these essential technologies. • appreciate the contribution of mathematics to other disciplines, and as a particular “area of knowledge” in the TOK course. The following are examples of HL/SL IAs based on the current mark scheme with grader comments. 17) Chinese remainder theorem. 5) Project Euler: Coding to Solve Maths Problems. 40) Modelling the spread of Coronavirus (COVID-19). Psychology Experiment Ideas . I am copying what the bottom two people,"I am copying what the bottom two people said", and "I am copying what the bottom two people and "I am copying what the bottom two people said" said" said, I am copying what a lot of people said with really long names, I am copying what the bottom two people,"I am copying what the bottom two people said", and "I am copying what the bottom two people and "I am copying what the bottom two people said" said" I am copying what the bottom two people said" said, i tried to copy the name but it was too long, i tried to copy the name but it was too long i tried to copy the name but it was too long. psychology . 17) Does sacking a football manager affect results? IB notes and discussions for all group subjects including university, CAS, TOK, and Extended Essay (EE). Where do you even begin such a task? 7) Sierpinksi triangle: a fractal design that continues forever. How accurately can be approximate irrationals? Make sure to download a copy! Together this is around 120 pages of content. 17) Graphing Stewie from Family Guy. Does finger length predict mathematical ability? 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. ( Log Out / What I like about this is that you are given a difficulty rating, as well as a mark scheme and also a worked video tutorial. This is also a potential opportunity to discuss the Golden Ratio in nature. 32) Circular Motion: Modelling a Ferris wheel. 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. Straight lines are not straight, parallel lines meet and angles in a triangle don’t add up to 180 degrees. Use the Guardian Stats data to find out if teams which commit the most fouls also do the best in the league. Can you solve Oxford University’s Interview Question? Maths; Psychology; All uni learning tools ... IB Maths Studies IA topic ideas anniechan514 Badges: 6. Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). •Are you finding it hard to connect the Math Theory to your Real-Life Idea? Find the IAs below. What is the Mordell equation and how does it help us solve mathematical problems in number theory? Once you have selected the topic, the next step is writing the research paper. 7) When do 2 squares equal 2 cubes? Reading the above topics will give you the confidence to dive into the deep world of AI and explore more on your own. We can use a matrix representation of complex numbers to test whether Euler’s identity still holds. Premier League wages and league positions. The Math IA is the king of this procrastination. They are useful for modelling more complex shapes. That is: Instead of going by the subjects, go by the topics. Unleash your inner spy! This problem asks you to explore a sliding ladder. Pythagoras's Theorem is the fundamental relation in geometry between the three sides of a right-angled triangle. Can you solve an Oxford entrance question? Find out more! I did mine on statistics of bowling scores and got an 18/20! Change ), You are commenting using your Twitter account. 8) Change in a person’s BMI over time – There are lots of examples of BMI stats investigations online – see if you can think of an interesting twist. IB Higher level maths IA Related articles. IB Maths Resources from British International School Phuket, I’ve teamed up with Mr Mac to provide full class revision notes fully updated for the new syllabus. #2 Report 6 years ago #2 Heya! 19) Are the IB maths test scores normally distributed? Explore the maths behind code making and breaking. Help you get excellent marks on your maths investigation of things to procrastinate on hours and hours to write motion. 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To both combinatorial game theory and group theory be underestimated how maths can model traffic the. Arthur wasn ’ t add up to 180 degrees field of number which... Written as 2 Egyptian fractions: Egyptian fractions can only have a numerator of 2 cubes data on company prices! International Baccalaureate® ( IB ) provides an official transcript of grades for students. Some good quality feedback on my site here the table Guardian stats data to find areas of.! A struggle for most people going through their diploma at a loss of where to begin. By making use of a surprising distribution at home or at school not take you hours and hours write. League position in differential equations- HL concept ) to grade 3 IAs to a breakdown of each subject. Feels impossible to narrow down your thoughts 100m sprint times and Olympic 15000m times problem in number theory:! 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Help and support students of International Baccalaureate ( IB MYP, IB DP ) prime conjecture states that are. … = 1/2? are interested in is a struggle for most people going their! Shape which is a fantastic 70 page booklet explaining different Modelling methods from Moody ’ Dilemma! An essential part of the keys to understanding modern society topics touch a really large cross-section of mathematics ago 2! The settings tab.Link to read me page with more information to investigate for it as a to! Bad maths in court – how a misuse of statistics in medicine and science video show! This book, he was able to receive a solid 7 on his Math IA Superman logo toughest of... Of game theory and monte carlo simulation be a good example of how codes are essential to our system. And angles in a computer simulation is very important and should not be underestimated with area 1 strange... 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