Average rate of change Instantaneous rate of change

The objective of this activity is to explore how to calculate average rates of change in the context of a road trip. Students create graphs given specific scenarios and estimate the average speed between two points. This activity also leads into a discussion about how average rate of change compares to the instantaneous rate of change.

## Wire Problem - A Calculus Approach

Optimization Area First Derivative Test Modeling

The objective of this activity is to optimize the area formed when a wire of a given length is cut and used to create two shapes.

## Terminal

Riemann Sum Accumulation Average Rate of Change Instantaneous Rate of Change

The objective of this activity is to interpret the meaning of derivatives and integrals in the context of the tasks performed by an airline crew.

## Shipwrecked

Euler's Method Riemann Sums Fundamental Theorem of Calculus Modeling

The objective of this activity is to determine the relationship between Euler's Method and Riemann Sums approximations for scenarios involving accumlated change.