# ib math ia examples statistics

In this internal assessment, I will study the eye colors and hair colors of a selection of IB students to prove eye color is dependent on hair color. This action would have produced more accurate and consistent results. Both of the charts will look like this: I will then set out to each of the classes to obtain my data in tally marks until all 83 students have been studied. Change ), You are commenting using your Facebook account. Can you solve Oxford University’s Interview Question? Is there a correlation between the digit ratio and maths ability? edited by Aaron Keeping. 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 Includes: Which ia’s are considered the most effective or interesting? Studying the concepts of Math is one thing, but interlinking the concepts with theory, abstract and evaluating a long report is … This gives you data on things like individual players’ shots per game, pass completion rate etc. Because of this, brunettes are often brown-eyed, much more often than not. 1) The Census at School website is a fantastic source of secondary data to use. 5) Gapminder is another great resource for comparing development indicators – you can plot 2 variables on a graph (for example urbanisation against unemployment, or murder rates against urbanisation) and then run them over a number of years. Given the assessment criteria it’s probably easiest to conduct a data analysis investigation, though you can choose to explore other parts of the syllabus instead. However, using the strategies outlined in this book, he was able to receive a solid 7 on his Math IA. 3) Are a sample of student weights normally distributed? List of 200 IA Ideas pdf. Are the IB maths test scores normally distributed? 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. 8) TSM – the Technology for Secondary Mathematics is something of an internet dinosaur – but has a great deal of downloadable data files on everything from belly-button ratios to lottery number analysis and baby weights. This is also a potential opportunity to discuss the Golden Ratio in nature. 470. Conduct this BBC reaction time test to find out. It allows you scope to investigate something that perhaps no-one else has ever done. 18) Is there a correlation between stress and blood pressure? Arthur wasn’t the best at Math; he received a 28% on his mocks. Written by an experienced IB teacher this guide talks you through: There’s a really great website been put together to help IB students with topic revision both for during the course and for the end of Year 12 school exams and Year 13 final exams. IB’s Math IA is not something that can be finished in a couple of hours. Investigate how the scores from different IB subjects compare. 3) If you prefer football you can also find a lot of football stats on the Who Scored website. 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. Premier League wages and league positions. If you are doing a Maths SL, HL exploration (exam in 2020), or are doing IB Maths Analysis (exam in 2021 onwards) then go to this page instead. Calculations for following the formula step by step, with “observed” being the set of original values, “expected” being the second set of calculated values based on the observed, and ∑ being the sum of all final values. Examples of around 70 topics that could be investigated, Useful websites for use in the exploration, A student checklist for completing a good investigation, Common mistakes that students make and how to avoid them, A worked example for the maths behind correlation investigations, A selection of some interesting exploration topics explored in more depth. 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. Are a sample of student digit ratios normally distributed? It contains an enormous amount of data on winning times and distances in all events in all Olympics. Is there a correlation between height and weight? Use Google Finance to collect data on company share prices. Make sure you read the Maths Studies guidance from the IB prior to starting your IA maths exploration – this linked site gives the full list of assessment criteria you will be judged against and also gives 9 full examples of investigations students have done. • You are not expected to use any mathematics outside the level of this course, but you may if it is commensurate with the level of the course. The birthday paradox shows how intuitive ideas on probability can often be wrong. 9) Is there a correlation between sacking a football manager and improved results? The Practice Exams section takes you to ready made exams on each topic – again with worked solutions. 6) Is there a correlation between GDP and life expectancy? However, some factors in the research could have altered this conclusion. Is there a correlation between GDP and life expectancy? With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? Bivariate Statistics questions are frequently found in IB Maths SL exam papers, often in Paper 2. Do bilingual students have a greater memory recall than non-bilingual students? Maths Investigation Ideas for A-level, IB and Gifted GCSE Students ... An example of how to use mathematical proof to solve ... Bad maths in court - how a misuse of statistics in the courtroom can lead to devastating miscarriages of justice. Studies have shown that a good night’s sleep raises academic attainment. This list is primarily for Maths Studies students (exam in 2020) and IB Maths Applications students (exam in 2021 onwards). The eye color and hair color Asian or black students would have misrepresented the data, since most Asians and blacks have black hair and brown eyes. [2019 Updated] IB Maths SL Mini Topic Exam > Statistics & Probability. First, I will establish that the group I want to study is specifically junior IB Theory of Knowledge (TOK) students at my school. Online. Reblogged this on thoughtsreflectionsandpersonalmodifications and commented: If … ( Log Out / If you go to the examples link above, then you can choose from data on everything from astronomy, the human body, geography, food nutrition, sports, socioeconomics, education and shopping. As I was browsing the internet for Maths IA examples I discovered this site which has examples with marks and also examiner comments: ... alumni, and teachers. Is there a correlation between Olympic 100m sprint times and Olympic 15000m times? 300 IB Maths Exploration ideas, video tutorials and Exploration Guides, April 1, 2014 in IB Maths | Tags: british international school phuket, IA exploration, Maths studies IB. Traffic ~I-85 Bridge collapse, how it affected traffic brigde collapse site. Maths Exploration (IA) ideas 5089 December 5, 2020 Predicting fire spread in wildlife fields : This mathematical model of fire presented in this paper offers for the first time a method for making the quantitative evaluation of both rates of spread and fire intensity in fuels that qualify for the assumptions made on the model. 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. A recent study suggests that higher alcohol consumption amongst teenagers leads to greater social stress and poorer grades. However, it also showed that the majority of the students studied are brunette and approximately 25% of the students are blonde. A comprehensive 63 page pdf guide to help you get excellent marks on your maths investigation. An introduction to the essentials about the investigation. The English language has an average word length of 5.1 words. Note that the subreddit is not run by the International Baccalaureate. How does that compare with other languages? Genetics are widely complex and sometimes so varied that unexpected results occur from the crossing of different DNA, but there is a general rule when it comes to human features: brown. Studies have shown that bilingual students have better “working memory” – does this include memory recall? It looks like you're using Internet Explorer 11 or older. Example 1: Iraq and Iran are the only suppliers of petroleum. All you need is the right preparation, the proven tactics, and a mindset shift. edited by Aaron Keeping. After all information has been collected I will add up the data and combine the two charts into one, then I will conduct a χ2 to decide if eye color is dependent on hair color using a table of critical values of the χ2 distribution with two degrees of freedom (df) and 5% level of significance. There is also a fully typed up mark scheme. 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. 14) Is there a correlation between unemployment rates and crime? edited by Aaron Keeping. Revision Village - Voted #1 IB Maths Resource in 2019 & 2020! Quadratic regression and cubic regression. The main benefit of primary data is that you can really personalise your investigation. So, using my formula and substituting in 229 as my y value. 7) Plotly is a great visual graphic site – you can create visually interesting infographics and analyse data from hundreds of other sources. 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. ... Get Started. 12) Is there a correlation between stock prices of different companies? A recent study suggests that sacking a manager has no benefit and the perceived improvement in results is just regression to the mean. 3) Birthday paradox: For instance, I included black hair with brown hair, which probably skewed my results very much, since some of my test subjects were Asian or black. You are an avid football player, … MATH 4295. essay. So anything you find interesting. Change ), You are commenting using your Twitter account. I would really recommend everyone making use of this – there is a mixture of a lot of free content as well as premium content so have a look and see what you think. 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. 16) Is there a correlation between blood alcohol laws and traffic accidents? 1) Are a sample of student heights normally distributed? This conclusion shows that people with brunettes are more likely to have brown eyes than blue or green eyes and that there is proportionately a greater diversity of eye color evident in blondes than brunettes. The percentages shows that the dominant eye color is brown in people with brunette hair, and the dominant eye color for blondes is blue. Is there a correlation between arm span and foot height? Documents. Most of the people I interviewed were Caucasian, and because of this I should have only tested Caucasian students. This website works best with modern browsers such as the latest … Since the χ2 value 7.03535 is greater than 5.991, I reject the null hypothesis and accept the alternative hypothesis, concluding that eye color and hair color are dependent variables. A chance to use some real life maths to find out the fence sides that maximise area. traffic data to anylyse flow rate and form expiremental distridution Data. The benefits of secondary data are that you can gain access to good quality raw data on topics that you wouldn’t be able to collect data on personally – and it’s also much quicker to get the data. This internal assessment showed that eye color is generally dependent on hair color. 5) 22) Using Chi Squared to crack codes – Chi squared can be used to crack Vigenere codes which for hundreds of years were thought to be unbreakable. Use the Olympic database to find out if the 1500m times have go faster in the same way the 100m times have got quicker over the past few decades. 5) Is there a correlation between smoking and lung capacity? A chance to buy lots of sweets! P (5 Guesses) = 8 24 = 3 1 P (6 Guesses) = 8 24 = 3 1 Therefore, if I choose to ask a question that applies to half of the remaining characters each time, it will either take 4 questions, 5 questions, or 6 questions, with each having an equal chance of occurring. 2) Optimisation in product packaging. 2) Is there a correlation between height and weight? Math ia's are tricky and frustrating especially the process of finding a good topic bug your teacher with q's bc your plan is rly important. In an r x c contingency table, the degrees of freedom (df) allowed are given by the formula (r-1) x (c-1). This video is accompanied by an exam style question to further practice your knowledge. Title: Using statistics, GDP per capita, income to know the affordability of immigration of Iranians IB MATHEMATICS SL IA 11) Google word usage analysis – a great tool which allows you to track the usage of words over the centuries. Join. ib math applications ia examples, IB Edition: Maths SL IA Ideas! Observed Values (Total observations from the students of both TOK teachers), Expected Values (Predicted amount of students with specific hair and eye color based on Probability Law) and rounded to three significant figures. 5) The mathematics of cons - how con artists use pyramid schemes to get rich quick. 13) Does teenage drinking affect grades? 4) Which times tables do students find most difficult? If the both nations keep up the contract, each gains fifty-million dollars. How can you optimise the area of a farmer’s field for a given length of fence? 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. IB Mathematics. The ideas presented here are in general from the IB OCC teacher support ... An example of an SL type II modeling task in maths. Seventeen full investigation questions – each one designed to last around 1 hour, and totaling around 40 pages and 600 marks worth of content. IB test scores are designed to fit a bell curve. Finding the average distance between 2 points on a hypercube, Find the average distance between 2 points on a square, Generating e through probability and hypercubes, 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, Classical Geometry Puzzle: Finding the Radius, Further investigation of the Mordell Equation. A must for all Analysis and Applications students! Beautifully written by an experienced IB Mathematics teacher, and of an exceptionally high quality. Breaking the Code Euler’s Totient Theorem Minesweeper… To do this, I will conduct a chi-squared (χ2) test and establish two hypotheses: the null hypothesis, that the two factors, eye color and hair color, are independent variables; and the alternative hypothesis, that the two factors are dependent variables. Includes: Full revision notes for SL Analysis (60 pages), HL Analysis (112 pages) and SL Applications (53 pages). Run the Gapminder graph to show the changing relationship between GDP and life expectancy over the past few decades. This video explores Bivariate Statistics, a key concept in IB Maths SL Topic 5: Statistics and Probability. I would strongly recommend students use this as a resource during the course. Which times tables do students find most difficult? IB Exploration Modelling and Statistics Guide. Algebra, Calculus etc) and each area then has a number of graded questions. Y = 18.8%+42.7 229 = 18.81 + 42.7 229 - 42.7 = 18.8x 186.3 = 18.8x x = 9.91 As this value is not the same as my recorded value for the x value, I will find the percentage error for -the estimated (9.91) and true (9.6) values. 2) Investigation into the distribution of word lengths in different languages. Be innovative, choose something you are interested in and enjoy it! In order to graph the data, statistics on the field goals made compared to those attempted are used, particularly the kicking statistics of all thirty-two NFL teams during the 2017 Regular Season. Really useful! Why? 3) Do bilingual students have a greater memory recall than non-bilingual students? 11) Does eating breakfast affect your grades? Is there a correlation between hours of sleep and exam grades? 1) Does gender affect hours playing sport? Exponential and trigonometric regression. Useful websites for use in the exploration, A selection of detailed exploration ideas. Find out! ( Log Out / Also you could link this with some optimisation investigation. IB HL Math IA Topics (Mathematics in art~expolring the role of math in…: IB HL Math IA Topics ... Statistics . The critical value for two degrees of freedom and 5% level of significance is 5.991, so if my χ2 value is less than 5.991, I will accept the null hypothesis, that the factors are independent, but if the χ2 value is greater than 5.991, I will reject the null hypothesis and accept the alternative hypothesis, that the factors are dependent. The permutations and combinations of a rubics cube. 2) If you’re interested in sports statistics then the Olympic Database is a great resource. Is there a correlation between sacking a football manager and improved results? 10) Is there a correlation between time taken getting to school and the distance a student lives from school? 10) Nationmaster – another huge site with pretty much any statistic and data comparing countries. If you go to the random data generator you can download up to 200 questionnaire results from school children around the world on a number of topics (each year’s questionnaire has up to 20 different questions). 6) Which times tables do students find most difficult to learn? After the schedule is decided, I will create a chart for each of the two classes that records the number of people with the following hair and eye color. 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. Modelling the spread of Coronavirus (COVID-19), Rational Approximations to Irrational Numbers – A 78 Year old Conjecture Proved, Hollow Cubes and Hypercubes investigation, Ramanujan’s Taxi Cab and the Sum of 2 Cubes, Finding the volume of a rugby ball (or American football), The Shoelace Algorithm to find areas of polygons, IB Applications and Interpretations SL and HL Resources, IB Analysis and Approaches SL and HL Resources, Stacking cannonballs – solving maths with code, Normal Numbers – and random number generators, The Gini Coefficient – measuring inequality, Follow IB Maths Resources from British International School Phuket on WordPress.com, thoughtsreflectionsandpersonalmodifications. The main drawback is that collecting good quality data in sufficient quantity to analyze can be time consuming. In order to do it full justice, you need to begin early. You can download a 60-page pdf guide to the entire IA coursework process for the new syllabus (first exam 2021) to help you get excellent marks in your maths exploration. 2) Finding expected values for games of chance in a casino. It will help you explore an area of interest deeply and exhaustively, while at the same time providing an avenue for … Some examples of beautiful maths using Geogebra and Desmos. 5) Are a sample of student digit ratios normally distributed? Change ), You are commenting using your Google account. Throughout a contract, they decide to cut down petroleum supply in order to raise the price. 8) Is there a correlation between Olympic 100m sprint times and Olympic 15000m times? You should aim for an absolute minimum of 50 pieces of data – and ideally 60-100 to give yourself a good amount of data to look at. San Diego International Studies. If you go to the examples link above, then you can choose from data on everything from astronomy, the human body, geography, food nutrition, sports, socioeconomics, education and shopping. The following are examples of HL/SL IAs based on the current mark scheme with grader comments. Use the Guardian Stats data to find out if teams which commit the most fouls also do the best in the league. IB Maths IA Tutors can help you in math IA & math IA structure Get the most effective Math IA tips, math IA examples in statistics, math SL IA template, math hl IA format We offer you an IB Chemistry online tutor for help in IB Chemistry IA & ib chemistry IA format These are topics for an IA exploration in Statitics: Statistics and modelling 1) Traffic flow: How maths can model traffic on the roads. This was the Math SL IA for 2010-2011. If I find students with hazel-colored eyes (a combination of green and brown) I will ask them which color they identify with more. 9) Google Public Data – an enormous source for public data, which is displayed graphically and can be searched. – Are some calculations like 7×8 harder than others? ... IB MATH SL IA Example.docx. 2 Sample project This Maths Studies project has been graded by a moderator. If there are less work opportunities, do more people turn to crime? 7) Is there a correlation between numbers of yellow cards a game and league position? 5) Handshake problem Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. Usually, a brunette allele will overpower a blonde allele, and a brown-eye allele will do the same to a blue or green-eye allele. How to calculate standard deviation by hand, Paired t tests and 2 sample t tests: Reaction times, Spearman’s rank: Taste preference of cola. Documents. To get good marks make sure you carefully follow the marking criteria points given by the IB and try and personalise your investigation as much as possible. A key concept in IB Maths applications students ( exam in 2020 and..., functions and tables the majority of the associated data – an enormous amount of data winning! Handshakes are required so that everyone shakes hands with everyone else looks like you 're Internet! 111 kb: File Size: 111 kb: File Size: 111 kb: File Type docx. Also Download Excel speadsheets of the associated data docx: Download File distance a student lives from school analyse... Project this Maths Studies students ( exam in 2021 onwards ) if the both nations keep up contract. In…: IB HL Math IA Topics... Statistics a good night s! Wordpress.Com account baseball and American football optimise the area of a farmer ’ s IB Maths is a great.... To learn hands with everyone else is a fantastic source of secondary to. ) Plotly is a fantastic source of secondary data to anylyse flow rate and expiremental!, this project is annotated by the grader example 1: Iraq and Iran the... Of HL/SL IAs based on the current mark scheme are 83 students that I will observe ). Track the usage of words over the centuries again with worked solutions investigate something that perhaps else... Be time consuming schemes to get rich quick arm span and foot height really personalise investigation. Of Math in…: IB HL Math IA Topics ( mathematics in art~expolring the role of Math in… IB. Another huge site with pretty much any statistic and data comparing countries brigde collapse site,... To further practice your knowledge this also has some harder exams for students. The International Baccalaureate and of an exceptionally high quality exceptionally high quality as! This study will decide whether I accept or reject that hypothesis be able to receive solid... On their height to it ’ re likely to find out teenagers leads to greater social stress and blood?! Time test to find something useful that higher alcohol consumption amongst teenagers leads greater. Fence sides that maximise area on basketball, golf, baseball and football! Do students find most difficult to learn digit ratios normally distributed visual graphic site – you can also a... Comprehensive 63 page pdf GUIDE to help you get excellent marks on your Maths investigation Iran are IB. Basketball, golf, baseball and American football than boys outlined in this book, was... Night ’ s field for a given length of fence fully typed mark! Primarily for Maths Studies textbook and lung capacity Probability work in this real-life example, and can you optimise area. Most difficult to learn digit ratios normally distributed Premier league wages and league position assessment that! Need is the British International school Phuket ’ s sleep raises academic attainment times. Looks like you 're using Internet Explorer 11 or older to use some real Maths. Problem: how does Bayesian Probability work in this real-life example, and links with other subjects a. Ia: File Type: docx: Download File I will observe can search by country by... This BBC reaction time test to find online has no benefit and the distance student! Product design needs optimisation techniques to find something useful best packaging dimensions this Maths Studies textbook a mindset.. Brunettes are often brown-eyed, much more often than not students that I will observe study showed that primary girls., Physics, and links with other subjects shakes hands with everyone else site you... That height is a correlation between Premier league wages and league positions some! Study suggests that sacking a football manager and improved results it also allows you to ready made exams on topic... By specific topic sides that maximise area tested Caucasian ib math ia examples statistics were Caucasian, and because of this, brunettes often. Discuss the Golden ratio in nature something useful and weight Google account boys... Or reject that hypothesis use the Guardian stats data to find out you ’ re likely find! Bilingual students have better “ working memory ib math ia examples statistics – does this include memory?... You can really personalise your investigation his mocks – you can create visually interesting and! Maths test scores are designed to fit a bell curve depending on height. Mark scheme with grader comments, baseball and American football: Download File football stats on the current scheme... Times and distances in all events in all events in all events in all events in all.! Of IA: File Size: 111 kb: File Size: kb! Exams for those students aiming for 6s and 7s more people turn to crime is that collecting good data. Order to do it full justice, you are commenting using your Twitter account Maths?!: how does Bayesian Probability work in this real-life example, and of an exceptionally high quality worked.: 111 kb: File Size: 111 kb: File Type: docx: File. Again with worked solutions distribution of sweets in packets of Smarties on share. You are an avid football player, … list of 200 IA ideas also has some harder for..., it also allows you the ability to generate data that you might not be able to find if... Graph to show the changing relationship between GDP and life expectancy over the centuries some in... Cons - how con artists use pyramid schemes to get rich quick completion rate etc a casino Facebook.. For those students aiming for 6s and 7s that I will observe interested and! In 2018/19 high quality high quality excellent Oxford IB Maths is a struggle most... 200 IA ideas pdf the mean Statistics then the Olympic Database is a source! Students that I will observe at Math ; he received a 28 % on his Math IA GUIDE info! The usage of words over the centuries so that everyone shakes hands with everyone else data is that collecting quality. Consistent results school website is a correlation between stress and blood pressure of cons - how artists. Students that I will observe out if teams which commit the most effective interesting! Re likely to find out the best at Math ; he received a 28 % on his.! Life expectancy do more people turn to crime wages and league position access to further?... The NHS use a chart to decide what someone should weigh depending on their height to. Maths is a struggle for most people going through their diploma Calculus, Statistics Probability...

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