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. 32) RSA code – the most important code in the world? Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). How to calculate standard deviation by hand, Paired t tests and 2 sample t tests: Reaction times, Spearman’s rank: Taste preference of cola. 13) Telephone Numbers – these are numbers with special properties which grow very large very quickly. 2/3 could be written as 1/6 + 1/2. 14) Egyptian fractions: Egyptian fractions can only have a numerator of 1 – which leads to some interesting patterns. Are there functions which plot any polygons? Essential knowledge for future astronauts. 7) Black Swan events – how usefully can mathematics predict small probability high impact events? A 60 page pdf guide full of advice to help with modelling and statistics explorations – focusing in on non-calculator methods in order to show good understanding. 4) Tesseract – a 4D cube: How we can use maths to imagine higher dimensions. Medical Test Accuracy and Statistics IB Mathematics SL . In this case, r=2 and c=3, therefore: By looking at a table of critical values of the χ2 distribution, the critical value for two degrees of freedom and 5% level of significance is 5.991. Stacking cannonballs – solving maths with code, Project Euler: Coding to Solve Maths Problems, Hollow Cubes and Hypercubes investigation, Methods for solving differential equations, IB HL Paper 3 Practice Questions Exam Pack, Complex Numbers as Matrices: Euler’s Identity, Sierpinski Triangle: A picture of infinity, The Tusi couple – A circle rolling inside a circle, Further investigation of the Mordell Equation, Rational Approximations to Irrational Numbers – A 78 Year old Conjecture Proved, IB Applications and Interpretations SL and HL Resources, IB Analysis and Approaches SL and HL Resources, The Gini Coefficient – measuring inequality, Zeno’s Paradox – Achilles and the Tortoise, Follow IB Maths Resources from British International School Phuket on WordPress.com. 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. Research Report - Specimen Paper A . 41) Finding the volume of a rugby ball (or American football). Blog at WordPress.com.Ben Eastaugh and Chris Sternal-Johnson. I’ve just put together thirteen full investigation questions – each one designed to last around 1 hour, and totaling around 30 pages and 450 marks worth of content. The Shoelace Algorithm to find areas of polygons. There is also a fully typed up mark scheme. 1) Is there a correlation between hours of sleep and exam grades?Studies have shown that a good night’s sleep raises academic attainment. This is also a potential opportunity to discuss the Golden Ratio in nature. 32) Circular Motion: Modelling a Ferris wheel. 11) The One Time Pad – an uncrackable code? Includes: Thirteen full investigation questions – each one designed to last around 1 hour, and totaling around 30 pages and 450 marks worth of content. What is the minimum number of colours needed for any map? There are two TOK teachers that all meet with students during Learning Lab, or study hall, the second to last block of the school’s schedule; one meets on Mondays and Wednesdays and the other on Tuesdays and Thursdays.

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