Please visit this page to find out more about the enrolment process. Learn more about mathematics in a DP workshop for teachers. Our recognition resource and document library has subject briefs for the DP, looking at every subject at both standard and higher level. The subject briefs cover core requirements, aims and assessment.
How to use graphic software to make art from equations. This is a nice way to link some maths history with studying an interesting function. Maths is closely connected with astronomy — see how we can work out the distance to the stars. Here is a geometric proof. This is a lovely construction using just compasses and a ruler.
This is a nice geometry puzzle solved using a variety of methods. Try to plot the locus of a sliding ladder. How can we find the area of any polygon? What is the geometric shape of soap bubbles? This problem asks you to explore a sliding ladder.
This amazing result can generate e through considering hyper-dimensional shapes. If any points are chosen at random in a square what is the expected distance between them? Can we extend our investigation above to a multi-dimensional cube? 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.
Gain a deeper understanding of chaos theory with this investigation. Exploration Guides and Paper 3 Resources. You can also model everything from Angry Birds to stunt bike jumping. A good use of your calculus skills. 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. Find out more! 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. This investigates a generalized version of projectile motion — discover what shape is created. This takes the usual projectile motion ideas and generalises them to investigate equations of ellipses formed.
What would projectile motion look like on different planets? This is a lovely result which uses parametric functions to create a beautiful example of mathematical art. How did Galileo achieve his breakthrough understanding of gravity? Follow in the footsteps of a genius!
Statistics and modelling 1 [topics could be studied in-depth]. Investigate the surprising correlation between finger ratios and all sorts of abilities and traits. 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? We can use a Poisson model and some Excel expertise to predict the outcome of sports matches — a technique used by gambling firms. Using the SIR model to understand epidemics. Use modeling and volume of revolutions. Explore a curious betting system still used in currency trading today.
Statistics and modelling 2 [more simplistic topics: correlation, normal, Chi squared]. The NHS use a chart to decide what someone should weigh depending on their height. Does this mean that height is a good indicator of weight? This is also a potential opportunity to discuss the Golden Ratio in nature. Run the Gapminder graph to show the changing relationship between GDP and life expectancy over the past few decades.
Use the Guardian Stats data to find out if teams which commit the most fouls also do the best in the league. Use the Olympic database to find out if the m times have got faster in the same way the m times have got quicker over the past few decades.
Use Google Finance to collect data on company share prices. Look at some stats for NBA players to find out. We know that adult population heights are normally distributed — what about student heights? 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? Why does the house always win? 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.
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? This particular problem was solved by Euler. Maths can be used to both make these codes and break them.
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. Using the physics of travel near the speed of light to see how we could travel to other stars. Here are some examples solved using Python. A nice starting point for students good at coding — who want to put these skills to the test mathematically.
Can we use a mixture of pure maths and computing to solve this problem? More computing led investigations. How can we use computers to gain a deeper understanding of sequences? Essential knowledge for future astronauts. Investigate some rocket science! You can watch a short video on it here. Can you find the pattern behind it? Investigate how binary is used — link to codes and computing.
Investigate how to solve them. Look at how infectious Ebola really is. They are useful for modelling more complex shapes. How mathematical formations were used to fight wars. All content on this site has been written by Andrew Chambers MSc. Mathematics, IB Mathematics Examiner. Please contact here for information on webinar training or for business ideas. See the free preview here. A comprehensive 63 page pdf guide to help you get excellent marks on your maths investigation.
Available to download here. Seventeen full investigation questions — each one designed to last around 1 hour, and totaling around 40 pages and 6 00 marks worth of content. There is also a fully typed up mark scheme. Together this is around pages of content. A 50 page pdf guide full of advice to help with modelling explorations — focusing in on non-calculator methods in order to show good understanding.
Linear regression and log linearization, quadratic regression and cubic regression, exponential and trigonometric regression, comprehensive technology guide for using Desmos and Tracker. A 55 page pdf guide full of advice to help with modelling explorations — focusing in on non-calculator methods in order to show good understanding. Beautifully written by an experienced IB Mathematics teacher, and of an exceptionally high quality.
Fully updated for the new syllabus. A must for all Analysis and Applications students! Comments feed for this article. September 23, at pm. October 21, at am. December 9, at pm. September 22, at pm. October 13, at pm. Jamal Obama. October 24, at am. December 10, at am. December 12, at am. February 8, at pm. I need some good quality feedback on my exploration paper! Please contact me if you can help me out!
September 21, at pm. September 24, at pm. I am copying what the bottom two people said. April 5, at pm. May 9, at pm. August 22, at pm. October 19, at am. I am copying what the bottom two people and "I am copying what the bottom two people said" said. November 6, at am. November 14, at am. It help so much when i see math topic for studie and i use experiment to expand ideas among mathmatical world for further education.
I was feared zombies so i did equation to predicatate. April 22, at pm. July 29, at pm. Hi would investigating the formula 1 racing strategy using game theory and monte carlo simulation be a good enough topic for hl? August 1, at pm.
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