Education Technology

Filling the Urn

Subject Area
Math: Calculus: Applications of the Derivative
Math: AP Calculus: AP Calculus
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-Nspire CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
3.1
Resource Types
Lessons
Format
TNS

Filling the Urn

Activity Overview

Work with linked representations of the related rates of change of volume and height of fluid.

Objectives

  • Work with linked graphical and physical representations of the related rates of change of volume and height of fluid in a vessel

About the Lesson

The Filling_the_Urn.tns TI-Nspire document provides for a graphical investigation of related rates. The physical context is the filling of an urn with liquid depicted in a window on the left side of the illustration. The associated graph represents the height of liquid in the urn as a function of the amount of liquid in the urn. The shape of the urn determines the characteristics of this graph.

Subject Area
Math: Calculus: Applications of the Derivative
Math: AP Calculus: AP Calculus
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-Nspire CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
3.1
Resource Types
Lessons
Format
TNS
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