Ib math exploration

Overall Summary The majority of explorations were generally commensurate with the Maths HL content but the quality was very mixed with very few explorations in the top range.

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This particular problem was solved by Euler. Some of the explorations were too long, sometimes because the scope of the exploration was not focused enough.

How to use modeling to predict booms and busts.

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Arial You may also stay within mathematics and either take an already solved problem and develop it further to a more complex one or to a higher dimension, or study new theory and apply it. Graphs and tables were often provided but not commented on. Topology and networks 1 Knots 2 Steiner problem 3 Chinese postman problem — This is a problem from graph theory — how can a postman deliver letters to every house on his streets in the shortest time possible? If not, you may just use Paint on Windows or SmoothDraw on Mac for pictures and the built-in diagram function in Word for diagrams. This will clarify the importance of each criterion and the impact the choice of topic may have on the achievement levels that may be reached. For higher achievement levels in this criterion students need to consider further explorations, implications of results, compare the strengths and weaknesses of the different mathematical approaches of their investigation and also look at the topic from different perspectives. It can also be used to sketch graphs and work with them. Criterion E Summary There was a large variety of mathematical content in the exploration, ranging from very basic mathematics to extensions well beyond the HL syllabus. These may include movies, short videos, photographs, experiments etc… 3 Students need to develop research and writing skills through reading and understanding different forms of mathematical writing as well as the possible assignment of mini tasks 4 Teachers should discuss the suitability of the topic chosen by students before a first draft is handed in. You can watch a short video on it here 12 Towers of Hanoi puzzle — This famous puzzle requires logic and patience. How can we help? Make it easy to read so that any of your classmates could read the text and understand it. Criterion C Summary This is the criterion that was mostly misinterpreted by teachers with a quite a few students being awarded top levels because of their commitment or enthusiasm for the subject without any of this being evident in the student work. Investigate how binary is used — link to codes and computing.

We also provide a free reviewing service for your draft work whenever you finish. This will clarify the importance of each criterion and the impact the choice of topic may have on the achievement levels that may be reached.

What do you want to investigate? However, problem solving is expected to be easier in this case.

Ib math exploration

Graphs and tables were often provided but not commented on. Maybe you can think of a solution to a problem by yourself? Make sure your teacher has read these! You can watch a short video on it here 12 Towers of Hanoi puzzle — This famous puzzle requires logic and patience. Using the physics of travel near the speed of light to see how we could travel to other stars. Background information optional If the exploration is based around new theory that has not been studied in class, give a brief but clear introduction to it. Share this:. Please go to Pricing for more details. Introduce any definitions, if applicable e. It was not always clear whether the teacher had checked the mathematical content; this made it more difficult to understand how the achievement levels were interpreted and awarded by the teacher.
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Mathematics SL and HL teacher support material