They should also be encouraged to develop the skills needed to continue their mathematical growth in other learning environments. This course is a demanding one, requiring students to study a broad range of mathematical topics through a number of different approaches and to varying degrees of depth. Students wishing to study mathematics in a less rigorous environment should therefore opt for one of the standard level courses, mathematics SL or mathematical studies SL. Students who wish to study an even more rigorous and demanding course should consider taking further mathematics HL in addition to mathematics HL.
The nature of the subject is such that it focuses on different branches of mathematics to encourage students to appreciate the diversity of the subject. Students should be equipped at this stage in their mathematical progress to begin to form an overview of the characteristics that are common to all mathematical thinking, independent of topic or branch. All categories of student can register for mathematics HL only or for further mathematics HL only or for both.
However, students registering for further mathematics HL will be presumed to know the topics in the core syllabus of mathematics HL and to have studied one of the options, irrespective of whether they have also registered for mathematics HL. Examination questions are intended to be comparable in difficulty with those set on the four options in the mathematics HL course. The challenge for students will be to reach an equivalent level of understanding across all topics.
There is no internal assessment component in this course. Although not a requirement, it is expected that students studying further mathematics HL will also be studying mathematics HL and therefore will be required to undertake a mathematical exploration for the internal assessment component of that course.
However, candidates registering for further mathematics HL will be presumed to know the topics in the core syllabus of mathematics HL and to have studied one of the options, irrespective of whether they have also registered for mathematics HL. The challenge for candidates will be to reach an equivalent level of understanding across these topics.
Here is a geometric proof. This is a lovely construction using just compasses and a ruler. Investigate the relationship between fractions and music, or investigate whether this series converges. A torus is a donut shape which introduces some interesting topological ideas. Studying the motion of projectiles like cannon balls is an essential part of the mathematics of war. You can also model everything from Angry Birds to stunt bike jumping. A good use of your calculus skills.
A chance to investigate the amazing number e. Fourier transforms have an essential part to play in modern life — and are one of the keys to understanding the world around us. This mathematical equation has been described as the most important in all of physics. This topic is only suitable for IB HL students.
This is a function which is used in Quantum mechanics — it describes a peak of zero width but with area 1. This is an nice example of how you can investigation optimization of the area of different polygons. How maths can model traffic on the roads. Investigate the surprising correlation between finger ratios and all sorts of abilities and traits. How understanding probability is essential to our legal system. The birthday paradox shows how intuitive ideas on probability can often be wrong.
Look at the Bayesian logic behind the argument that we are living in a computer simulation. A chance to look at some statistics with surprising results. A good example of how to conduct a statistical investigation in mathematics.
Unleash your inner spy! What is your best way of surviving the zombie apocalypse? Surprisingly maths can help! Listen to the sounds that different sine waves make.
Use the binomial distribution to test your ESP abilities. Model your data using a normal distribution. How the normal distribution is used to predict elections. Use Tracker software to create a Sine wave. How to use modeling to predict booms and busts. Is Bitcoin going to keep rising or crash? Some nice examples of using polar coordinates to create interesting designs. The use of regression in polling predictions.
What would happen to the climate in the event of a nuclear war? The use of game theory in psychology and economics. A good chance to investigate misconceptions in probability and probabilities in gambling. Why does the house always win? How probability and game theory can be used to explore the the best strategies for bluffing in poker. This chess puzzle asks how many moves a knight must make to visit all squares on a chess board.
This topics provides a fascinating introduction to both combinatorial Game Theory and Group Theory. We can analyse the data to find out. Also look at the finances behind Premier league teams 10 Is there a correlation between Premier League wages and league position? Also look at how the Championship compares to the Premier League. Explore the maths behind code making and breaking. Look at some of the maths and psychology behind winning this game.
Are maths students better than history students? The use of networks to solve problems. This particular problem was solved by Euler. With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? An amazing shape which is a loop with only 1 side and 1 edge. ISBN codes and credit card codes are just some examples of how codes are essential to modern life. Maths can be used to both make these codes and break them.
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?
What is the minimum number of colours needed for any map? This topic links to graph theory. Look at the inherent probabilistic nature of the universe with some quantum mechanics. The planets follow a surprising pattern when measuring their distances. Some classic physics — which generates some nice mathematical graphs. Essential knowledge for future astronauts.
Investigate some rocket science! Voting systems 11 Flatland by Edwin Abbott — This famous book helps understand how to imagine extra dimension. You can watch a short video on it here 12 Towers of Hanoi puzzle — This famous puzzle requires logic and patience. A recent study suggests that sacking a manager has no benefit and the perceived improvement in results is just regression to the mean. Use Google Finance to collect data on company share prices. A recent study suggests that higher alcohol consumption amongst teenagers leads to greater social stress and poorer grades.
If there are less work opportunities, do more people turn to crime? We know that adult population heights are normally distributed — what about student heights? Conduct this BBC reaction time test to find out. IB test scores are designed to fit a bell curve. Investigate how the scores from different IB subjects compare. A UK study showed that primary school girls play much less sport than boys. The English language has an average word length of 5.
How does that compare with other languages? A chance to buy lots of sweets! Also you could link this with some optimisation investigation.
Unleash your inner spy! A chance to use some real life maths to find out the fence sides that maximise area. Product design needs optimisation techniques to find out the best packaging dimensions.
The birthday paradox shows how intuitive ideas on probability can often be wrong. A good example of how to conduct a statistical investigation in mathematics. If you want to do an investigation with a bit more mathematical content then have a look at this page for over ideas for Maths SL and HL students.
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Internal Assessment is a huge challenge for IB Maths Studies. InThinking Subject Sites - where IB teachers go. Website by Oliver Bowles, This page is intended to help teachers inspire students for project ideas and help point out the key elements of a good topic. Possible Tasks. On this page, to go with the above, there is a list and.
hey.. im doing the ib maths studies coursework and i have trouble thinking of a good idea. I want to do something on statistics- like comparing and finding the realtionship between 2 continous variables (e.g. height and weight) but i cant think of something decent!! i need something where i can use various techniques to come to a conclusion .
Mar 26, · Maths Studies IA Exploration Topics: This is the British International School Phuket’s IB maths exploration page. This list is primarily for Maths Studies students – though may also be of use to SL and HL students interested in . Oct 25, · Home › Forums › Magento › Ib Maths Studies Coursework – This topic contains 0 replies, has 1 voice, and was last updated by backjampmigdiolia 2 weeks, 3 days ago. Viewing 1 post (of 1 total) Author Posts August Readmore.