40) Modelling the spread of Coronavirus (COVID-19). A good use of your calculus skills. 35) Fermat’s Theorem on the sum of 2 squares – An example of how to use mathematical proof to solve problems in number theory.
Includes: IB Exploration Modelling and Statistics Guide. 10) Is Intergalactic space travel possible?
4) Bluffing in Poker: How probability and game theory can be used to explore the the best strategies for bluffing in poker. 4) Is there a correlation between smoking and lung capacity? 35) Fun with Functions!. Change ), You are commenting using your Facebook account. You can now download a Statistics and Modelling Guide full of advice to help with modelling and statistics explorations. Are there functions which plot any polygons? 31) Graham’s Number – a number so big that thinking about it could literally collapse your brain into a black hole.
Investigate some rocket science! 44) Modelling Chaos – how we can use grahical software to understand the behavior of sequences. Premier League wages and league positions. Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. • 20% of your IB mark Technology: • GeoGebra: Software for working with graphs, diagrams, functions, spreadsheets, statistics and more. 12) Is there a correlation between blood alcohol laws and traffic accidents? 2) Solving maths problems using computers – computers are really useful in solving mathematical problems. • Desmos: Software for graphing points, functions and tables. Friendly numbers, Solitary numbers, perfect numbers. Once a relationship is established, Linear Regression can be used to create a linear model. i tried to copy the name “i tried to copy the name but it was too long” but it was too long. I am copying what the bottom two people and "I am copying what the bottom two people said" said, It help so much when i see math topic for studie and i use experiment to expand ideas among mathmatical world for further education. 14) Bayes’ theorem: How understanding probability is essential to our legal system. 25) Euler’s 9 Point Circle. 11) The Monty Hall problem – this video will show why statistics often lead you to unintuitive results. 17) Graphing Stewie from Family Guy. 20) Modelling infectious diseases – how we can use mathematics to predict how diseases like measles will spread through a population. 23) Perfect Numbers: Perfect numbers are the sum of their factors (apart from the last factor). The percentages shows that the dominant eye color is brown in people with brunette hair, and the dominant eye color for blondes is blue. 21) Projective geometry – the development of geometric proofs based on points at infinity. You can also sign up for free to access their exams secrets emails their revision notes and predictions for the November 2020 and May 2021 papers. 4) Applications of complex numbers: The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers. Each course has upwards of 100 lecture videos, a similar number of exam style questions as well as worked solutions to a large number of full past papers. For example, Mod 3 means the remainder when dividing by 3. Explore this famous number theory puzzle. This is a puzzle that was posed over 1500 years ago by a Chinese mathematician. They are useful for modelling more complex shapes.
( Log Out / For this reason, I will travel during Learning Lab on a Monday to the two teachers of the TOK classes and again on the following day. 22) Investigation into the distribution of word lengths in different languages. Check out our online private tuition service or keep reading our Math-related blogposts… 1) The harmonic series: Investigate the relationship between fractions and music, or investigate whether this series converges. 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.
3) Minimal surfaces and soap bubbles: Soap bubbles assume the minimum possible surface area to contain a given volume. 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. The best IB science online revision is definitely provided by Study Nova – set up by the excellent IB teacher Mitch Campbell, this has a wealth of both free and paid-for resources – from lecture videos, online tests, exam questions and worked solutions to IB past papers. This particular problem was solved by Euler. We can analyse the data to find out. 2) Their Questionbank takes you to a breakdown of each main subject area (e.g. 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.
I decided to find out what it means for a medical test to be “97% accurate” or “99% accurate”. = -1/12 ? The great Indian mathematician Ramanujan discovered some amazing examples of these. 38) Friendly numbers, Solitary numbers, perfect numbers. The NHS use a chart to decide what someone should weigh depending on their height. – An essential component of JPEG, DNA analysis, WIFI signals, MRI scans, guitar amps – find out about the maths behind these essential technologies. Investigate how to solve them. View Math_IA_sample1.pdf from MATH ENG 111 at ESSEC. A UK study showed that primary school girls play much less sport than boys. Find out! 1) The prisoner’s dilemma: The use of game theory in psychology and economics. 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! 3) Mathematical methods in economics – maths is essential in both business and economics – explore some economics based maths problems. How strange things happen when we start to manipulate divergent series. 12) Towers of Hanoi puzzle – This famous puzzle requires logic and patience. This action would have produced more accurate and consistent results. Title: Using statistics, GDP per capita, income to know the affordability of immigration of Iranians IB MATHEMATICS SL IA 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. 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.
Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). Can you find the loop of infinite sadness? 300 IB Maths Exploration ideas, video tutorials and Exploration Guides. Use Google Finance to collect data on company share prices. 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. 12) Magic squares and cubes: Investigate magic tricks that use mathematics. We can use a Poisson model and some Excel expertise to predict the outcome of sports matches – a technique used by gambling firms.
A comprehensive 63 page pdf guide to help you get excellent marks on your maths investigation. 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. 25) Palindrome numbers: Palindrome numbers are the same backwards as forwards.
Statistics and modelling 2 [more simplistic topics: correlation, normal, Chi squared]. Do bilingual students have a greater memory recall than non-bilingual students? 17) Are a sample of flower heights normally distributed? If some students are absent those two days, I will take the time to collect their information on Wednesday and/or Thursday during Learning Lab, and if need be, I will continue my investigation the following week, since TOK classes do not meet on Fridays.
Proof doesn’t always have to be algebraic. Listen to the sounds that different sine waves make. 2) Torus – solid of revolution: A torus is a donut shape which introduces some interesting topological ideas. 6) Bullet projectile motion experiment – using Tracker software to model the motion of a bullet. Much learn of math over up in here!! 26) Fermat’s little theorem: If p is a prime number then a^p – a is a multiple of p. 28) Recurrence expressions for phi (golden ratio): Phi appears with remarkable consistency in nature and appears to shape our understanding of beauty and symmetry. Here are some examples solved using Python.
45) The Mordell Equation. Is there a correlation between arm span and foot height? 6) Square Triangular Numbers. 9) Modeling with springs and weights. Surprisingly maths can help! 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. 11) Understanding the fourth dimension: How we can use mathematics to imagine (and test for) extra dimensions. Is there a correlation between hours of sleep and exam grades? My name is Eden and this is so good resource. 3,4,5 triangle). A introductory guide to the IA. 10) Tangrams: Investigate how many different ways different size shapes can be fitted together.