# Activities

• • • ##### Subject Area

• Math: Calculus: Other Functions

• ##### Author College

60 Minutes

• ##### Device
• TI-83
• TI-89 / TI-89 Titanium
• TI-92 Plus / Voyage™ 200

TI Connect™

• ##### Accessories

TI Connectivity Cable

• ##### Report an Issue

Slope Fields and Euler's Method for AP Calculus

#### Activity Overview

In this activity students use Computer Algebra System (CAS) to solve differential equations using Euler's method, Runge Kutta method, and other built-in methods.

#### Before the Activity

• Install TI Connect™ using the TI connectivity cable
• See the attached PDF file for detailed instructions for this activity
• Print pages 1 - 9 from the attached PDF file for the class
• #### During the Activity

Distribute the pages to the class.

• Understand the concept of a first order differential equation
• Understand that the general solution for a first order differential equation is usually a family of functions
• Compute the tangent line for the member of the family passing through a point without knowing the solution

• Learn to sketch an approximate solution, given only the slope field
• Program slope fields on the TI-83 calculator

• Use Euler's method to solve a differential equation numerically
• Explore various methods to solve differential equations
• #### After the Activity

Students' answer questions on the Activity sheet.

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary