# Activities

• • • ##### Subject Area

• Math: Calculus: Antiderivatives and Slope Fields

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

• ##### Report an Issue

Slope Fields Introduction

#### Activity Overview

Explore the concept of slope field to the first order differential equation.

#### Objectives

• Describe the idea behind slope fields in terms of visualization of the family of solutions to a differential equation
• Describe the slope of a tangent line at a point on the graph of a solution to a differential equation
• Describe the general nature of a solution to a differential equation as suggested by a slope field
• Use the TI-Nspire built-in function deSolve to find the general family of solutions to a differential equation
• Match a differential equation with its corresponding slope field

#### Vocabulary

• slope field
• first order differential equation
• family of solutions
• particular solution