A behavior over time graph (BOTG) is used to show what happens to something over time. Whether it is changes in the stock market or changes in the sea level, every graph tells a story.  This lesson helps students understand BOTGs.  STELLA modeling and simulation software, allows students to create models and run simulations of systems over time. The results of simulations are displayed using visual representations such as BOTGs.

Word problems typically give students a lot of trouble. They have difficulty understanding what is important in the problem and in translating the words into mathematical equations. In this lesson, students use STELLA modeling and simulation software to create a visual representation of a problem involving a class trying to raise money by making school T-shirts.

In this lesson, students use the basic building blocks of STELLA modeling and simulation software to create a visual representation of a problem whereby two boys are trying to save money for an iPod.  Graphs showing different saving and spending patterns help students understand the structure of linear functions.

This lesson expands upon the Linear Functions lesson by introducing interest rates into an iPod savings plan.  Using STELLA modeling and simulation software, students create a visual representation of the population dynamics of Malawi to better understand the differences between linear and exponential functions.