Research Aim Body of your Exploration: * Elaborate on the method you used for the exploration and justify why you chose to proceed with that particular method. * Use relevant mathematical tools like labelled graphs, charts, etc., for your mathematical working and explain them in the IA context. – Mathematics Background – Table of Definitions – Equations – Numerical workings – Figures (One per page at the very least.) (Must have graph and all.. lots of it required… must be CREATED but copied and pasted) – Use suitable math equations and expressions. THIS IS A MATH PAPER (Very IMPORTANT) – Outline of plane Singapore Airline A380. – Outline current boarding strategy by Singapore Airline. – Outline the COVID measures of safe distancing on-board the aircraft as well as the queue in the airport – Propose formulas/ linear programming to propose new boarding strategy – Evaluate that it is more efficient – Methodology – Data collection – Create suggestions then compare to real life data. – Analysis and discussion – Conclusion – apply your personal interest; develop your own ideas; and use critical thinking skills during your exploration and demonstrate these in your report At the end, what wins is clarity, substance (facts and info), precision and accuracy, fantastic reasoning Rubrics Assessment is done on the conciseness, brevity, and clarity/coherence of your investigation. Proper structure must be given to your IA. As per IB guidelines, a coherent exploration is, * Logically developed * Easy to follow and, * Meets the Aim. Also, a well-organized exploration, * Includes Introduction * Describes the Aim of the investigation and * Has a Conclusion Criterion B – Mathematical Communication: (Levels- 0, 1, 2, 3, 4) Assessment is done on the appropriateness of the mathematical terminology, notation, and symbols used to progress the exploration. Symbols and notations should be correctly used as are used in IB textbooks. For example, x2should not be written as x^2. Different mathematical representation tools such as tables, graphs, diagrams, if used, must be relevant to the working and must be commented on/explained well. Avoid inconsistent use of Mathematical terminology. Application of ICT Tools(for example- GeoGebra, Desmos) should be made wisely. For Calculations, Graphic Display Calculators can also be used, but that doesn’t outdo math formulas′ importance. Criterion C – Personal Engagement: (Levels – 0, 1, 2, 3) Assessment is done on the personal involvement shown. The sure shot way to ensure Engagement is, first and foremost, by going ahead with a topic that interests you (something unique or something that affects real-life situations). Personal Engagement is seen throughout the exploration by: * Independent thinking and creativity shown by the student * Making the Math Idea your own * Investigating the idea from varied perspectives * Exploring different possibilities Avoid portraying superficial interest. Opportunities for demonstration of personal Engagement should not be missed. Criterion D – Reflection: (Levels – 0, 1, 2, 3) Assessment is done on the evaluation and analysis of the investigation. Mentioning the significance of your exploration results, discussing possible limitations, and justifying why you chose the procedure you did can portray a fair reflection of the IA. Merely explaining your results will get you only a score of 1 out of 3. According to IB guidelines, a reflection should be meaningful and critical. A meaningful reflection includes * Considering limitations in the work * Comparing different Mathematical Approaches * Linking to the Aim * Commenting on the Learning A critical reflection entails, * Considering What Next * Discussing the implications of results * Discussing the strengths and weaknesses of the approaches * Considering different perspectives Reflection is an analysis of the student′s work, which is seen throughout the exploration, not just the Conclusion. Criterion E – Use of Mathematics: (Levels – 0, 1, 2, 3, 4, 5, 6) Assessment is done on the implementation of Mathematics in the IA. It is essential to understand that the Math used should be on par with the course, nothing too simple and nothing you don’t understand. Also, the Mathematics used should be fully understood and engrained by you. Unfamiliar Mathematics, if used, should be explained well by giving personal examples. As per IB guidelines, students are expected to produce work that is, * Commensurate with the level of the course(should either be part of the syllabus at a similar level or slightly beyond) * Relevant Mathematics used means Math which supports the development of the exploration towards the completion of its Aim To score higher levels in Criterion E, it is crucial to understand the meaning of the following terms: * Precise Mathematics is error-free and uses an appropriate level of accuracy at all times * Sophistication means the Math should be commensurate with the HL syllabus * Rigour involves clarity of logic and language when making Mathematical arguments and calculations.
