11) The One Time Pad an uncrackable code? 6 0. 2) Logistic function and constrained growth. 11) Is there a correlation between stock prices of different companies? 52) Have you got a SuperBrain? << /Length 5 0 R /Filter /FlateDecode >> You can watch a short video on it here. Use Tracker software to create a Sine wave. Also make sure to download a completely free 63 page Exploration Guide pdf packed full of essential advice about how to get excellent marks on your coursework: You can download this for free here. 42) The Martingale system paradox. My topic is just investigating the correlation between 2 variables (GPD and Happiness), and I've done PMCC and Spearman's, I was thinking My question is does anyone have any (preferably graded) examples of a correlation-related IA, from either the old SL syllabus or the new AISL syllabus? MATH IA GUIDE Criterion E: Use of Mathematics This criterion makes up the largest portion of your overall IA marks. Step 2: Subtract the mean of x from every x value (call them ", Step 5: Divide the sum of ab by the square root of [(sum of a. 14) Bayes theorem: How understanding probability is essential to our legal system. 0 is no correlation (the values don't seem linked at all) 1 is a perfect negative correlation. This concept can be done with almost any board game, making the application of the idea boundless! Fourier Transforms the most important tool inmathematics? Explore a curious betting system still used in currency trading today. Understanding this difference is important to better prepare for your numerous IAs. The Tusi couple A circle rolling inside acircle. Below, the question that was distributed through the poll is illustrated. P3 investigation questions and fully typed mark scheme. I will be able to access this information by visifing the team player profiles at the official team websites, to insure that the information is as accurate as possible. 5) Are a sample of student digit ratios normally distributed? Please enter the OTP sent to your mobile number: Here is a sample of some Maths studies (IB diploma) course work onThe correlation between BMI and tackles made in the NRL (National Rugby League). 23) Modelling music with sine waves how we can understand different notes by sine waves of different frequencies. 40) Finding focus withArchimedes. There has been a recent breakthrough in this problem. collect 49 answers. Familiarise yourself with the steps below, and then dive into your chosen topic. %PDF-1.3 Same procedure was followed for the calculation of the, average lifetimes mean: 11+11+12++9+12 50 11 cm. 47) Hollow cubes and hypercubes investigation. Column 1 Column 2 Column 1 Column 2 6 23 2 32 7 34 8 39 28 16 22 9 5 3 19 1 4, Alec James Hewison Standard Level Mathematical Studies IA BMI vs. If you are an IB teacher this could save you 200+ hours of preparation time. Investigate what makes a number happy or sad, or sociable! Login. 11) Flatland by Edwin Abbott This famous book helps understand how to imagine extra dimension. Pearson's correlation coefficient when applied to a data set i s commonly symbolized by the letter r as Chaos and strange Attractors: Henonsmap, Finding the average distance between 2 points on ahypercube, Find the average distance between 2 points on asquare, Generating e through probability andhypercubes, IB HL Paper 3 Practice Questions ExamPack, Complex Numbers as Matrices: EulersIdentity, Sierpinski Triangle: A picture ofinfinity, The Tusi couple A circle rolling inside acircle, Classical Geometry Puzzle: Finding theRadius, Follow IB Maths Resources from Intermathematics on WordPress.com. 6) Which times tables do students find most difficult to learn? 5) Knights tour in chess: This chess puzzle asks how many moves a knight must make to visit all squares on a chess board. more . Do bilingual students have a greater memory recall than non-bilingual students? Which times tables do students find most difficult? 9) Is there a correlation between sacking a football manager and improved results? 1) The harmonic series: Investigate the relationship between fractions and music, or investigate whether this series converges. Can you find the pattern behind it? 4) The World Bank has a huge data bank which you can search by country or by specific topic. The Greeks used a very different approach to understanding quadratics and as a result had a deeper understanding of their physical properties linked to light and reflection. You may see a relationship that the calculation does not. This particular problem was solved by Euler. Some of the content includes: A list with over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. Can we use a mixture of pure maths and computing to solve this problem? In this blog post well go through our top 3 tips for getting motivated again! One of the best parts about the IBDP is that the program takes a holistic approach to schooling, as opposed to a system solely based on examinations. 10) Envelope of projectilemotion. What is the sum of all positive integers? Are the IB maths test scores normally distributed? Look at the Bayesian logic behind the argument that we are living in a computer simulation. 49) Rational approximations to irrational numbers. There is software that can calculate it, such as the CORREL() function in Excel or LibreOffice Calc Let us call the two sets of data "x" and "y" (in our case Temperature is x and Ice Cream Sales is y): Here is how I calculated the first Ice Cream example (values rounded to 1 or 0 decimal places): You probably won't have to calculate it like that, but at least you know it is not "magic", but simply a routine set of calculations. 5) The mathematics of cons how con artists use pyramid schemes to get rich quick. The next is to draw scatter graphs, discounting any anomalies but providing a reasoning for this. Does sacking a football manager affect results. The relationship is good but not perfect. Quantum Mechanics a statistical universe? 39)Modeling hours ofdaylight using Desmos to plot the changing hours of daylight in different countries. Is there a correlation between the digit ratio and maths ability? Online Private Tuition: One-on-one support from the comfort of your own home, whenever and wherever you need it. The NHS use a chart to decide what someone should weigh depending on their height. Can we use a mixture of pure maths and computing to solve this problem? 1b) The shape of the universe non-Euclidean Geometry is at the heart of Einsteins theories on General Relativity and essential to understanding the shape and behavior of the universe. Listen to the sounds that different sine waves make. Maths IA - Maths Exploration Topics: Scroll down this page to find over lots of maths IA exploration topics and ideas for IB Applications SL mathematics students doing their internal assessment (IA) coursework. 13) The Tusi couple A circle rolling inside acircle. 1. Math IA. Friendly numbers, Solitary numbers, perfect numbers. 6) Wolfram Alpha is one of the most powerful maths and statistics tools available it has a staggering amount of information that you can use. Usually the biggest one of these is a research-based essay, often called an investigation at most schools, that will allow students to take concepts learned in their 6 classes, and write a university-level paper to showcase their extents to learn above the required amount. Your email address will not be published. 20) The Coastline Paradox how we can measure the lengths of coastlines, and uses the idea of fractals to arrive at fractional dimensions. 14)The Poincare Conjecture and Grigori Perelman Learn about the reclusive Russian mathematician who turned down $1 million for solving one of the worlds most difficult maths problems. 2 0. 17) Chinese remainder theorem. are examples of log scales investigate how these scales are used and what they mean. Look at the inherent probabilistic nature of the universe with some quantum mechanics. An IA is any component of IB that is internally graded (i.e not graded by IB). A few years ago a survey ofemployees found a strong positive correlation between "Studying an external course" and Sick Days. Is Bitcoin going to keep rising or crash? 2)How to Design aParachute looking at the physics behind parachute design to ensure a safe landing! You can find that I used the correlation formula and how I interpret my data. My IA was about how efficient macaron boxes were, and I used my own data )by measuring the radii and height of 50 macarons I made). A good example of how to conduct a statistical investigation in mathematics. How has your involvement allowed you to reflect on different mathematics topics? Studies have shown that bilingual students have better working memory does this include memory recall? 13) Different number systems Learn how to add, subtract, multiply and divide in Binary. What is the minimum number of colours needed for any map? Suitable forApplications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). 6) Continued fractions: These are fractions which continue to infinity. Model your data using a normal distribution. G,m m0Z-d_u`aVO*']SFgC\xzzCDlr.2"} V#JTwDNty^~(Tbt.V90n _*}HD]fu-U\75bJ;L.k|>MUYgog3K 24)A geometric proof for the arithmetic and geometricmean. Ive written a comprehensive IB exploration guide which contains the Exploration Guide Essentials (63 pages), Statistics for Explorations (55 pages) and Modeling for Explorations (50 pages). Moral of the story: make a Scatter Plot, and look at it! Get top tips from an IB examiner to help you get excellent scores on your coursework! Importantly, make sure to also discuss some of the challenges in your IA and what you would/could explore with more time and more words. A fun IA idea could be analyzing the probability and statistics behind the game Monopoly! % 41)Finding the volume of a rugby ball (or Americanfootball). Copyright 2002 - 2023 MyPrivateTutor. The examiner will be looking at the quality of the idea and the body of work in relation to the assessment criteria. Studies have shown that bilingual students have better working memory does this include memory recall? 36)Predicting the UK election using linearregression. I need some good quality feedback on my exploration paper! Correlation between a person's height and his shoe size. This is a lovely construction using just compasses and a ruler. Product design needs optimisation techniques to find out the best packaging dimensions. Correlation is the relationship between two variables. This video covers two types of correlation: Pearson's & Spearman's. Part of the IB Ma. A chance to buy lots of sweets! This doesnt mean that youre confined to only looking into topics that are covered on your syllabus, but it should be of the same rigour! = -1/12 ? This was partly expected as taller dogs weigh this test, the range of values the coefficient can take and how to measure strength of If you want to do an investigation with a bit more mathematical content then have a look at this page for over 300 ideas for Maths SL and HL students. 15) Julia Sets and Mandelbrot Sets We can use complex numbers to create beautiful patterns of infinitely repeating fractals. Which times tables do students find most difficult? 45) The Mordell Equation. Get top tips from an IB examiner to help you get excellent scores on your coursework! Creating a Neural Network: AI MachineLearning. Can all fractions with a numerator of 2 be written as 2 Egyptian fractions? Before we match you with one of our trusted tutors, we want to know a little bit about you so we can ensure the best possible support. Correlation can have a value: 1 is a perfect positive correlation 0 is no correlation (the values don't seem linked at all) -1 is a perfect negative correlation The value shows how good the correlation is (not how steep the line is), and if it is positive or negative. Here are some examples solved using Python. 12) Magic squares and cubes: Investigate magic tricks that use mathematics. Investigate how the scores from different IB subjects compare. asking your friends, teachers, etc. A nice starting point for students good at coding who want to put these skills to the test mathematically. Maybe you could develop a simple application to showcase the paradox in the form of a game. 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. stream Investigating a sample of 49 Dog Owners, that measured their dogs weight. 8) Is there a correlation between Olympic 100m sprint times and Olympic 15000m times? How accurately can be approximate irrationals? 13) Telephone Numbers these are numbers with special properties which grow very large very quickly. 40)Modelling the spread of Coronavirus(COVID-19). The next correlation that is investigated is by using the data of the maximum height and average For example, a practical science like Chemistry HL would need a more investigative approach in an IA through the scientific method as compared to an IA in Spanish SL. If any points are chosen at random in a square what is the expected distance between them? The possibilities are endless, and just goes to show how creative you can be with the IA. For example you can find out. MATH SL Internal Assessment (IA) 2015 Correlation - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Easypolls. By following this tried and tested structure for your math IA, each student will be able to present their findings consistently and optimally. Can Artificial Intelligence (Chat GPT) get a 7 on an SL Mathspaper? Bio Exam 2 - Professor Becklin 2 2 = 5 etc. This intuitive tool accounts for many factors, from GPA to extracurriculars, and tells you your shots of getting into your dream school! 1) Are a sample of student heights normally distributed? Here is a list of 20 exciting topics to help you get inspiration: 1. 2) If you are interested in the environment, The National Oceanic and Atmospheric Administration (NOAA) has collected a large amount of environmental data for use. 26) Modelling volcanoes look at how the Poisson distribution can predict volcanic eruptions, and perhaps explore some more advanced statistical tests. You can compare life-expectancy rates, GDP, access to secondary education, spending on military, social inequality, how many cars per 1000 people and much much more. This allows students to prove understanding of a concept and its uses. and therefore getting a value closer to mean is more possible. Correlation. 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To solve this problem for any map 15 ) Julia Sets and Mandelbrot we. Any board game, making the application of the universe with some quantum mechanics to imagine extra dimension 2 fractions. 11 cm volcanoes look at the physics behind parachute design to ensure a safe landing log scales investigate how scales! 11 ) the Tusi couple a circle rolling inside acircle SL Mathspaper the story: make scatter... A sample of 49 Dog Owners, that measured their dogs weight plot. Points are chosen at random in a computer simulation is internally graded ( i.e not graded IB. Paradox in the form of a game to conduct a statistical investigation in mathematics make a scatter plot and!