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This Math Class included two current UC Berkeley Students, an Oxford pupil, and a UPenn undergrad. ... IB Psychology IA HL Exemplar: Results (Descriptive) Study Notes. psychology . 46) Ramanujan’s Taxi Cab and the Sum of 2 Cubes. Use the binomial distribution to test your ESP abilities. Math IA HL connected with economics IB to A-level conversions !! 14) Is there a correlation between stress and blood pressure? Together this is around 120 pages of content. 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. 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. The Math IA is the king of this procrastination. 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. 11) Zeno’s 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? Can we prove that 1 + 2 + 3 + 4 …. ( Log Out / In what ways is math used in art? Are there functions which plot any polygons? . There is also a fully typed up mark scheme. 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 Is Bitcoin going to keep rising or crash? ie 6 is a perfect number because 1 + 2 + 3 = 6. Useful websites for use in the exploration, A selection of detailed exploration ideas. 4) Bluffing in Poker: How probability and game theory can be used to explore the the best strategies for bluffing in poker. . 11) Is there a correlation between stock prices of different companies? 10) Modelling epidemics/spread of a virus. Look at the Bayesian logic behind the argument that we are living in a computer simulation. 8) How to “Solve” Noughts and Crossess (Tic Tac Toe) – using game theory. . 13) Different number systems – Learn how to add, subtract, multiply and divide in Binary. A-level Psychology; A-level Religious Studies; ... 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). 10) Does eating breakfast affect your grades? Is there a correlation between hours of sleep and exam grades? 1) Traffic flow: How maths can model traffic on the roads. While neither the instructor nor the student ever has contact with the examiner, all are working from the exact set of criteria in constructing, guiding, and evaluating the finished product. 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. 29) Classical Geometry Puzzle: Finding the Radius. There is also a fully typed up mark scheme. Which times tables do students find most difficult? 11) Flatland by Edwin Abbott – This famous book helps understand how to imagine extra dimension. 2. 12) How to win at Rock Paper Scissors. To make matters worse, on top of just doing the dreaded maths exam, we’re also expected to write a Maths IA exploration into a topic of our choice! 31) Graham’s Number – a number so big that thinking about it could literally collapse your brain into a black hole. Look at some stats for NBA players to find out. This also has some harder exams for those students aiming for 6s and 7s. Investigate the surprising correlation between finger ratios and all sorts of abilities and traits. 14) Circular inversion – what does it mean to reflect in a circle? Once you've read and graded each IA, check the scores for each IA in THIS PRESENTATION. You can also model everything from Angry Birds to stunt bike jumping. This is a nice geometry puzzle solved using a variety of methods. 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. Why do magic squares work? 9) Optimization of area – an investigation. Any psychological cues to pick up on? Please help!! 30) Maths of Global Warming – Modeling Climate Change – Using Desmos to model the change in atmospheric Carbon Dioxide. This is also a potential opportunity to discuss the Golden Ratio in nature. 7) Patterns in Pascal’s triangle: There are a large number of patterns to discover – including the Fibonacci sequence. 7) Quantum Mechanics – a statistical universe? This is a puzzle that was posed over 1500 years ago by a Chinese mathematician. – An essential component of JPEG, DNA analysis, WIFI signals, MRI scans, guitar amps – find out about the maths behind these essential technologies. Our survey showed that more than 80% of students were concerned about their Math IA. 50) Square triangular numbers. 25) Reaction times – are you above or below average? A must for all Analysis and Applications students! 17) Are a sample of flower heights normally distributed? 2) Their Questionbank takes you to a breakdown of each main subject area (e.g. math ia criteria, A crucial element of this section of the internal assessment task is formulating an appropriate question to investigate. 9) Designing bridges – Mathematics is essential for engineers such as bridge builders – investigate how to design structures that carry weight without collapse. Investigate what makes a number happy or sad, or sociable! All fully updated for the new syllabus. Are the IB maths test scores normally distributed? 6) Handshake problem: With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? Math Studies IA Relationship Between Crime Rate and Unemployment Kaitlin Snyder February 20, 2013 Central Academy; Des Moines Public Schools A list with over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. 44) Modelling Chaos – how we can use grahical software to understand the behavior of sequences. This investigates a generalized version of projectile motion – discover what shape is created. Surprisingly maths can help! Rep:? The template to the right includes links to alphabetical lists of all mathematical articles. . You can watch a short video on it here. In some geometries triangles add up to more than 180 degrees, in others less than 180 degrees. 9) Polyominoes: These are shapes made from squares. Like all that coursework you actually have to do. 30) Can you solve Oxford University’s Interview Question?. You can download these notes on my site. 5) Fourier Transforms – the most important tool in mathematics? A good use of your calculus skills. are examples of log scales – investigate how these scales are used and what they mean. (This topic is only suitable for IB HL students). 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. I did the Oberth maneuver for my Physics IA using Kerbal Space Program as a "med-fi simulation" lol. Investigate how binary is used – link to codes and computing. How can we find the area of any polygon? If not poker, I'd … They are useful for modelling more complex shapes. 32) Circular Motion: Modelling a Ferris wheel. (pdf). 21) Does gender affect hours playing sport? 17) Does sacking a football manager affect results? Use the Guardian Stats data to find out if teams which commit the most fouls also do the best in the league. For example, I did my IA on the rate at which the luminosity of 3 watches decreased (which, regrettably, required a bit of physics) and tried to find which of the watches had the best value for money. Change ), You are commenting using your Facebook account. Core Topics Revision Flashcards for AQA A Level Psychology. We can use a matrix representation of complex numbers to test whether Euler’s identity still holds. •Are you finding it hard to connect the Math Theory to your Real-Life Idea? 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. maths grade for the various hair colours to fi nd out if the stereotype that blondes are bad at maths is valid in my sample of students. – Playing around with multiplicative persistence – can you break the world record? Essential knowledge for future astronauts. This topic links to graph theory. Model your data using a normal distribution. 6) Square Triangular Numbers. You could read up about Mathematical Economics and/or Econometrics to get an idea. These are beautifully handwritten and of a very high quality. 22) The Folium of Descartes. Where do you even begin such a task? Here is a geometric proof. How to rock your IB exams IB grade boundaries What happens on IB results day. More computing led investigations. 7) When do 2 squares equal 2 cubes? This is a function which is used in Quantum mechanics – it describes a peak of zero width but with area 1. 9) Modeling with springs and weights. 21) Projective geometry – the development of geometric proofs based on points at infinity. Least Squares Regression line Line of best fit showing the trend y= 0.54x+9.01 Standard Deviation Chi-Squared Test Sx= 1.65 Sy= 3.76 The null hypothesis (H0) = Amount of sleep is independent from the amount of words memorized The alternative hypothesis (H1) = Amount of sleep is Fully updated for the new syllabus. IB MATH A&A HL IA OUTLINE WORKSHEET Name_____ Write your responses in the table. Much learn of math over up in here!! Maths can be used to both make these codes and break them. IBDP SL Math Assessment Criteria Rubric with Additional Notes Presentation - About the Assessment Criteria . . Change ). We can analyse the data to find out. 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? We know that adult population heights are normally distributed – what about student heights? Arthur wasn’t the best at Math; he received a 28% on his mocks. 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. A post which looks at the maths behind this particularly troublesome series. Studies have shown that bilingual students have better “working memory” – does this include memory recall? Together this is around 120 pages of content. 51) Complex numbers as matrices – Euler’s identity. 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. How to use graphic software to make art from equations. Find out more! 43) Narcissistic Numbers – what makes a number narcissistic – and how can we find them all? All content is written with the exploration in mind – and shows non-calculator methods where possible to help demonstrate understanding. This video helps you with the most difficult part of the IB math IA: choosing a topic. The English language has an average word length of 5.1 words. = -1/12 ? Does finger length predict mathematical ability? A comprehensive 63 page pdf guide to help you get excellent marks on your maths investigation. Find out! 24) A geometric proof for the arithmetic and geometric mean. 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. 28) Ford Circles– how to generate Ford circles and their links with fractions. Why does the twin paradox work? What is your best way of surviving the zombie apocalypse? 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. 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