Collecting data from multiple players using video analysis
Modeling the trajectory using quadratic equations
Considering air resistance using differential equations
Comparing theoretical results with actual player performance
Callout
Projectile motion equations
Differential equations for air resistance
Statistical analysis of collected data
Optimization techniques
Swimming Pool Diving Board Oscillations
Callout
Measuring the board's displacement over time
Modeling the motion using sinusoidal functions
Investigating damping effects
Determining the natural frequency
Callout
Trigonometric functions
Differential equations
Regression analysis
Fourier series (for HL)
Callout
Financial Mathematics IAs
Stock Market Pattern Analysis
Callout
Analyzing historical price data
Implementing moving averages
Using logarithmic regression
Calculating volatility metrics
Callout
Exponential and logarithmic functions
Statistical measures
Probability distributions
Time series analysis
Environmental Studies IAs
Climate Change Modeling
Callout
Collecting temperature data from local weather stations
Creating regression models
Analyzing seasonal patterns
Predicting future trends
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Introduction to IA Examples
The Internal Assessment (IA) in IB Mathematics is a unique opportunity for students to explore a mathematical topic of personal interest.
It allows students to demonstrate their understanding and application of mathematical concepts in real-world contexts.
The IA is not just about solving mathematical problems; it's about exploring, modeling, and communicating mathematical ideas.
AnalogyThink of the IA as a science fair project, but for mathematics. You get to choose your own topic, conduct research, and present your findings in a structured way.ExampleA student interested in music might explore the mathematics of sound waves, while a sports enthusiast might analyze the trajectory of a soccer ball.DefinitionInternal Assessment (IA)A independent mathematical exploration conducted by students as part of the IB Mathematics course, allowing them to investigate a topic of personal interest.
