Disciplines/Subjects: Mathematics, Pre-Calculus, Applied Mathematics
Key Themes: Mathematical Modeling, Real-World Applications, Exploration of Pre-Calculus Topics
This project allows learners to choose a topic from the Pre-Calculus curriculum and explore its application in a real-world context. Topics may include polynomial and rational functions, exponential and logarithmic functions, or trigonometric and polar functions. Learners will conduct research, develop mathematical models, solve example problems, and discuss real-world applications. For instance, the sample work explores how trigonometric functions model sound waves, demonstrating the mechanics of music and sound. The project encourages creativity, critical thinking, and a deeper understanding of how mathematical concepts relate to practical scenarios.
Habits of mind: Curiosity, Strive for Excellence, Continuous Learning
Transferable skills: Modeling, Interpreting Data/Information to Make Valid Claims, Organizing and Representing Information
Content Knowledge:
Understanding Pre-Calculus concepts, including polynomial, rational, exponential, logarithmic, trigonometric, and polar functions.
Applying mathematical principles to model and analyze real-world systems.
Using graphing tools and software like Desmos or GeoGebra for visualization and analysis.
Writing structured reports and delivering engaging presentations to communicate results effectively.