Are maths students better than history students? 17) Chinese remainder theorem. 20 Math Internal Assessment Topic Ideas for SL Students. 10) Codes and ciphers: ISBN codes and credit card codes are just some examples of how codes are essential to modern life. Mathematical statistics is the application of Mathematics to Statistics, which was originally conceived as the science of the state — the collection and analysis of facts about a country: its economy, and, military, population, and so forth. 22) Diophantine application: Cole numbers. Use Tracker software to create a Sine wave. I’ve teamed up with Mr Mac to provide full class revision notes fully updated for the new syllabus. This Maths Studies project has been graded by a moderator. How can we find the area of any polygon? New III: Full class revision notes for SL and HL Analysis and SL Applications. What is your best way of surviving the zombie apocalypse? 12) Magic squares and cubes: Investigate magic tricks that use mathematics. ( Log Out / IB Math SL Statistics and Probability Review - Topic 6 - Duration: 52:36. mathsl1 115,311 views. 41) Arithmetic number puzzle – It could be interesting to do an exploration where you solve number problems – like this one. quick topics. Maths can be used to both make these codes and break them. Struggling coming up with a topic look on page 465-466 of our text 11.6 Choosing a Topic. All fully updated for the new syllabus. Remember the IA tab on the top of the website with more detailed information on Rubric and other sample IAs. 21) Projective geometry – the development of geometric proofs based on points at infinity. 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. Use the binomial distribution to test your ESP abilities. The use of regression in polling predictions. 2) Logistic function and constrained growth. A classic problem in number theory which can be solved through computational power. 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. 3) Mathematical methods in economics – maths is essential in both business and economics – explore some economics based maths problems. Hi would investigating the formula 1 racing strategy using game theory and monte carlo simulation be a good enough topic for hl? Proof doesn’t always have to be algebraic. 7) Möbius strip: An amazing shape which is a loop with only 1 side and 1 edge. How many people need to be in a room for it to be at least 50% likely that two people will share the same birthday? See our Privacy Policy and User Agreement for details. Investigate what makes a number happy or sad, or sociable! The NHS use a chart to decide what someone should weigh depending on their height. We can use a matrix representation of complex numbers to test whether Euler’s identity still holds. 2/3 could be written as 1/6 + 1/2. Some classic physics – which generates some nice mathematical graphs. This is a nice geometry puzzle solved using a variety of methods. – Playing around with multiplicative persistence – can you break the world record? Effective ways for adding double digit numbers. IA Requirements: Has to be on one of the math units/topics that we have covered: IA Rubric: see also attached and 36) Sierpinski triangle – an infinitely repeating fractal pattern generated by code. Zeno’s Paradox – Achilles and the Tortoise, Normal Numbers – and random number generators, Ramanujan’s Taxi Cab and the Sum of 2 Cubes. What is the geometric shape of soap bubbles? The 1980s . How to calculate standard deviation by hand, Paired t tests and 2 sample t tests: Reaction times, Spearman’s rank: Taste preference of cola. 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! A good example of how to conduct a statistical investigation in mathematics. Looks like you’ve clipped this slide to already. 5) Stacking cannon balls: An investigation into the patterns formed from stacking canon balls in different ways. 43) Narcissistic Numbers – what makes a number narcissistic – and how can we find them all? The great Indian mathematician Ramanujan discovered some amazing examples of these. How strange things happen when we start to manipulate divergent series. You can watch a short video on it here. 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). 20) The Coastline Paradox – how we can measure the lengths of coastlines, and uses the idea of fractals to arrive at fractional dimensions. I am copying what the bottom two people said, Hi my name is Layal and I really like this Hong does too. Reply. 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. Math Research Topics for Elementary School Students. What would happen to the climate in the event of a nuclear war? If you continue browsing the site, you agree to the use of cookies on this website. 7) Black Swan events – how usefully can mathematics predict small probability high impact events? Fully updated for the new syllabus. 40) Stellar Numbers – This is an excellent example of a pattern sequence investigation. Can we use a mixture of pure maths and computing to solve this problem? Look at some of the maths (and psychology behind winning this game. 31) Modelling radioactive decay – the mathematics behind radioactivity decay, used extensively in science. worksheets. 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? Also look at the finances behind Premier league teams. We know that adult population heights are normally distributed – what about student heights? 4) Tesseract – a 4D cube: How we can use maths to imagine higher dimensions. Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). Premier League wages and league positions. School Week Is there a correlation between Olympic 100m sprint times and Olympic 15000m times? 2) Is there a correlation between height and weight? 2) Hexaflexagons: These are origami style shapes that through folding can reveal extra faces. I need a topic for my Math HL IA !! 1) Modular arithmetic – This technique is used throughout Number Theory. Teacher: Mr. DeMille An interesting insight into the mathematical field of Number Theory. ai lesson plans. How does that compare with other languages? Math Statistics IA December 2010 1. 2) Solving maths problems using computers – computers are really useful in solving mathematical problems. Change ). Straight lines are not straight, parallel lines meet and angles in a triangle don’t add up to 180 degrees. Algebra, Calculus etc) and each area then has a number of graded questions. A chance to look at some statistics with surprising results. The permutations and combinations of a rubics cube. Find out! As you read through it, you will see comments from the moderator in boxes like this: At the end of the sample project is a summary of the moderator’s grades, showing how the project has been graded against all the criteria A to G. These Using the physics of travel near the speed of light to see how we could travel to other stars. Can you find the pattern behind it? This is a lovely construction using just compasses and a ruler. A UK study showed that primary school girls play much less sport than boys. ( Log Out / 15) Julia Sets and Mandelbrot Sets – We can use complex numbers to create beautiful patterns of infinitely repeating fractals. 37) Modelling a Nuclear War. 6) Logarithmic scales – Decibel, Richter, etc. A good use of your calculus skills. IB HL Math IA Topics . 25) Reaction times – are you above or below average? Is there a correlation between GDP and life expectancy? Does sacking a football manager affect results. Major topics asked in SAT Math include Algebra, Arithmetic, Geometry, Statistics, and Probability. Make sure to download a copy! Mathematical statistics is the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical data.Specific mathematical techniques which are used for this include mathematical analysis, linear algebra, … 3) Minimal surfaces and soap bubbles: Soap bubbles assume the minimum possible surface area to contain a given volume. Find the IAs below. 13) Is there a correlation between height and basketball ability? 19) Are the IB maths test scores normally distributed? 22) Modelling Zombies – How do zombies spread? Clipping is a handy way to collect important slides you want to go back to later. 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. 9) Modeling with springs and weights. How to use modeling to predict booms and busts. Is A is a n × n square matrix, then 4) Bluffing in Poker: How probability and game theory can be used to explore the the best strategies for bluffing in poker. Research Report - Specimen Paper A . Maths IA – Maths Exploration Topics | IB Maths Resources from … 30) Maths of Global Warming – Modeling Climate Change – Using Desmos to model the change in atmospheric Carbon Dioxide. This topics provides a fascinating introduction to both combinatorial Game Theory and Group Theory. 3) Gambler’s fallacy: A good chance to investigate misconceptions in probability and probabilities in gambling. 7) Fibonacci sequence and spirals in nature – There are lots of examples of the Fibonacci sequence in real life – from pine cones to petals to modelling populations and the stock market. You can change your ad preferences anytime. 6) Continued fractions: These are fractions which continue to infinity. 5) Königsberg bridge problem: The use of networks to solve problems. Here is a geometric proof. 10) Is there a correlation between Premier League wages and league position? Look at the inherent probabilistic nature of the universe with some quantum mechanics. 4) Applications of complex numbers: The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers. Together this is around 120 pages of content. Can we prove that 1 + 2 + 3 + 4 …. Advice on using Geogebra, Desmos and Tracker. 24) A geometric proof for the arithmetic and geometric mean. 11) The Monty Hall problem – this video will show why statistics often lead you to unintuitive results. There is also a fully typed up mark scheme. 1) Traffic flow: How maths can model traffic on the roads. Investigate some rocket science! Listen to the sounds that different sine waves make. 2) How to Design a Parachute – looking at the physics behind parachute design to ensure a safe landing! 16) Euler’s identity: An equation that has been voted the most beautiful equation of all time, Euler’s identity links together 5 of the most important numbers in mathematics. A statistics major prepares students to use data to confront real-world problems. This 60 page guide has 2 sections: The statistics content includes an in-depth Pearson’s Product investigation, investigations using Chi Squared, Spearman’s rank, t-tests, binomial distribution, normal distribution and Poisson distribution. Topic: -Probabilities-Sequences and Series-Linear Equations-Statistics Sub topics: -Matrices-Markov Process My Research question is: To what extent can maths win at Monopoly? 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. … Once you've read and graded each IA, check the scores for each IA in THIS PRESENTATION. 13) Different number systems – Learn how to add, subtract, multiply and divide in Binary. Find out! Please contact me if you can help me out! 16) Hyperbolic functions – These are linked to the normal trigonometric functions but with notable differences. This is a function which is used in Quantum mechanics – it describes a peak of zero width but with area 1. 7) Explore the Si(x) function – a special function in calculus that can’t be integrated into an elementary function. Use modeling and volume of revolutions. Quadratic regression and cubic regression. Zeno’s paradox of Achilles and the tortoise, The Poincare Conjecture and Grigori Perelman, The Monkey and the Hunter – How to Shoot a Monkey, Galileo: Throwing cannonballs off The Leaning Tower of Pisa. 35) Fermat’s Theorem on the sum of 2 squares – An example of how to use mathematical proof to solve problems in number theory. ! 17) Does sacking a football manager affect results? More computing led investigations. 20) Modelling infectious diseases – how we can use mathematics to predict how diseases like measles will spread through a population. We can analyse the data to find out. For example, Mod 3 means the remainder when dividing by 3. 37) Mathematical proof and paradox – a good opportunity to explore some methods of proof and to show how logical errors occur. We can use a Poisson model and some Excel expertise to predict the outcome of sports matches – a technique used by gambling firms. Statistics - collection, analysis, presentation and interpretation of data, collecting and summarizing data, ways to describe data and represent data, Frequency Tables, Cumulative Frequency, More advanced Statistics, Descriptive Statistics, Probability, Correlation, and Inferential Statistics, examples with step-by-step solutions, Statistics Calculator 5) Is there a correlation between GDP and life expectancy? 8) Finding prime numbers: The search for prime numbers and the twin prime conjecture are some of the most important problems in mathematics. Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. per School Night and the Total Average amount of Video Games played in one What is the Mordell equation and how does it help us solve mathematical problems in number theory? 34) The Tusi circle – how to create a circle rolling inside another circle using parametric equations. 33) Spotting Asset Bubbles. 18) Fermat’s last theorem: A problem that puzzled mathematicians for centuries – and one that has only recently been solved. Includes: this website is a real reference for me, thanks! A n × n square matrix with a main diagonal of 1's and all other elements 0's is called the identity matrix I n. If A is a m × n matrix, thenI m A = A and AI n = A. $$$ E.B.D. 5 and 7 are consecutive primes). worksheet generators. Posted in Uncategorized | Tagged calculations, chi-squared, ib math studies, math ia, statistics | Leave a reply Percentages. 17) Medical data mining – Explore the use and misuse of statistics in medicine and science. When do we have a square number which is also a triangular number? Can we use a mixture of pure maths and computing to solve this problem? 7) Sierpinksi triangle: a fractal design that continues forever. That was pretty much it. 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. 15) Birthday paradox: The birthday paradox shows how intuitive ideas on probability can often be wrong. 5) The mathematics of cons – how con artists use pyramid schemes to get rich quick. 2) Their Questionbank takes you to a breakdown of each main subject area (e.g. 27) Volume optimization of a cuboid – how to use calculus and graphical solutions to optimize the volume of a cuboid. See our User Agreement and Privacy Policy. Given the stimulus word, Health, I started thinking of the ways one can use probability (my favorite branch of Mathematics) in looking at medical topics. These are key concepts in IB Maths HL Topic 5: Statistics and Probability. Exponential and trigonometric regression. SL Math IA Includes: Full revision notes for SL Analysis (60 pages), HL Analysis (112 pages) and SL Applications (53 pages). 3) Benford’s Law – using statistics to catch criminals by making use of a surprising distribution.
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