Applying Calculus to Real-World Problem Solving

Julia Wu Julia Wu

Guardians

Driving Questions

  1. How can calculus concepts such as differentiation, integration, and optimization be applied to solve real-world problems?
  2. What role do mathematical models play in understanding and optimizing real-life systems?

Project Introduction

Disciplines/Subjects: Mathematics, Calculus, Applied Mathematics

Key Themes: Mathematical Modeling, Optimization, Differentiation, Integration


In this project, learners will apply their knowledge of calculus to analyze and solve a real-world problem. The project may involve mathematical modeling, optimization techniques, and the use of differentiation and integration to understand and optimize systems such as transportation, economics, engineering, or environmental processes. Learners will create a comprehensive report that includes mathematical models, calculations, and graphs, and will present their findings in a 5-10 minute oral presentation. This project encourages creativity and critical thinking in applying calculus concepts to practical situations.

Core Competency

Habits of Mind: Curiosity, Growth Mindset, Strive for Excellence

Transferable Skills: Modeling, Interpreting Data/Information to Make Valid Claims, Making Connections and Inferences

Content Knowledge:

Understanding differentiation, integration, and optimization techniques in calculus.

Applying calculus to model and solve real-world problems.

Using mathematical software or graphing tools for analysis and visualization.

Writing comprehensive reports and delivering engaging presentations.