Examples of successful IB Math IA topics

Possible Exploration:

• Examine the geometric transformations involved in creating specific origami models.
• Use graph theory to analyze the crease patterns and their properties.
• Investigate the mathematical principles that allow origami to be used in practical applications like space structures and medical devices.

Example 3: Predicting Stock Market Trends

Topic: Using statistical methods and mathematical models to predict stock market trends.

Why It’s Successful:

• Real-World Relevance: Applies mathematics to a relevant and practical problem.
• Advanced Techniques: Involves the use of complex mathematical concepts such as statistics, probability, and calculus.
• Data-Driven: Utilizes real-world data, making the analysis more rigorous and applicable.

Possible Exploration:

• Apply statistical methods such as moving averages or linear regression to historical stock data.
• Use probability models to predict future trends and assess risks.
• Explore the use of calculus in modeling stock price changes over time.

Example 4: The Mathematics of Epidemics

Topic: Modeling the spread of infectious diseases using mathematical models.

Why It’s Successful:

• Timely and Relevant: Especially relevant in light of recent global events.
• Complex Problem-Solving: Involves differential equations, statistics, and probability.
• Impactful: Shows how mathematics can be used to address critical real-world issues.

Possible Exploration:

• Develop and analyze SIR (Susceptible, Infected, Recovered) models.
• Use differential equations to model the rate of spread and recovery.
• Apply statistical methods to real-world data to validate the models.

Example 5: Game Theory and Strategy Optimization

Topic: Analyzing strategies in games using game theory.

Why It’s Successful:

• Engaging: Relates to popular games and strategies, making it interesting.
• Theoretical and Practical: Combines theoretical concepts with practical applications.
• Broad Scope: Can be applied to a variety of games, from board games to sports.

Possible Exploration:

• Use matrix algebra to analyze payoffs in different game scenarios.
• Apply probability theory to assess optimal strategies.
• Investigate Nash equilibria in competitive games.

Tips for Choosing Your Own IA Topic

1. Interest and Passion: Choose a topic that genuinely interests you. This will make the research process enjoyable and the final product more compelling.
2. Scope and Depth: Ensure your topic is specific enough to allow for in-depth analysis but broad enough to find sufficient data and resources.
3. Mathematical Rigor: Select a topic that allows you to demonstrate a range of mathematical skills and concepts.
4. Real-World Applications: Topics with practical applications often make for more engaging and relevant IAs.
5. Feasibility: Consider the availability of data and resources, as well as the time you have to complete your IA.

Choosing a successful IB Math IA topic involves finding a balance between personal interest, mathematical rigor, and real-world relevance. The examples provided showcase a range of possibilities, from music and art to finance and epidemiology. Use these examples as inspiration to find a topic that excites you and allows you to explore the fascinating world of mathematics.

: Learn how to act on IB IA teacher feedback effectively without crossing IB rules or rewriting your entire Internal Assessment.