MTH118 – Quantitative Reasoning

Teaching Demonstration: Exponential Modeling

Interactive visualization tools for exploring linear modeling, exponential growth, and bell-curve structures.

Course Topics

Interactive Teaching Apps

Linear Modeling Demo

Explore slope, intercept, prediction, and interpretation in linear functions.

Launch Interactive App

Additional real-world visualization: Students can investigate how data generate linear relationships and models.

Open Rossman/Chance Modeling App

Exponential Modeling Explorer

Visualize exponential growth and decay through dynamic parameter changes.

Launch App

Bell Curve Explorer

Investigate bell-shaped exponential functions and their connection to statistics.

Launch Bell Curve Explorer

Real-world application: visualizing exponential behavior, market volatility, and quantitative reasoning in financial markets.

Open TradingView Market Visualization

Lesson Progression

  1. Review linear models and constant rates of change
  2. Introduce exponential growth and decay
  3. Visualize changing rates mathematically
  4. Explore exponential bell-curve structures
  5. Connect exponential functions to the normal distribution

Lecture Notes and Supporting Materials

Chapter 8A

Growth — Linear versus Exponential

Open Chapter 8A Notes

Chapter 8B

Doubling Time and Half-Life

Open Chapter 8B Notes

Chapter 9B

Linear Modeling

Open Chapter 9B Notes

Chapter 9C

Exponential Modeling

Open Chapter 9C Notes