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Examples of IB Mathematics IAs?

Hello everyone! I need to start working on my IB Mathematics IA, but I'm lowkey lost. Can someone share examples of successful IAs that I can refer to for inspiration? Any guidance would be helpful!

6 months ago

Hello! I totally understand that it can be challenging to figure out where to start with your IB Mathematics IA. First, think about choosing a topic that interests you, as you'll be spending quite a bit of time on this project. Here are some examples of successful IAs to give you an idea:

1. Modeling infectious diseases: One student investigated the SIR (susceptible, infected, recovered) model for tracking the spread of an infectious disease in a population. They used differential equations and data analysis techniques to analyze a specific disease outbreak. This project connects mathematics with real-world health and public policy concerns.

2. Optimization problems: Another student studied the Traveling Salesman Problem, which is a well-known optimization problem in mathematics. They explored different algorithms used to solve this problem, including the Greedy Algorithm, Genetic Algorithm, and Nearest Neighbor Algorithm. This project combines discrete math, graph theory, and computer science.

3. Fractals and self-similarity: One student focused on fractals, such as the Mandelbrot Set and the Sierpinski Triangle, exploring the concepts of self-similarity and infinite zoom. They used complex algebra and iterative algorithms to investigate the properties of fractals and attempted to create their own unique fractal shape based on their findings.

4. Game theory and strategy: A student analyzed the popular game "Rock, Paper, Scissors" using game theory. They examined Nash equilibria, mixed strategies, and the probabilities of each player winning. This project connects probability, statistics, and decision-making with a popular and accessible game.

5. Sports and mathematics: One student studied the mathematics behind the scoring systems of different sports, like tennis, basketball, and soccer. They analyzed how the chosen scoring system affects the overall game strategy and tactics and used statistical analysis to evaluate various scoring systems and their impact on the outcomes of the matches.

Before starting on your IA, ensure that you consult with your teacher and get their input on the topic you select. Ensure that it aligns with the IB Mathematics syllabus and has sufficient complexity to showcase your mathematical understanding and skills. Good luck with your IA!

6 months ago

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