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Calculus: Applications of the Derivative Classroom ActivitiesDownload

Exploring Motion in the Plane

In this activity,  students will use a TNS file for visualizing the velocity and acceleration vectors at specific times associated with a particle as it moves along a curve. 
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
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Velocity, Position, Distance

Work with linked representations of the horizontal motion of an object.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Apps for iPad®
Download5,111

Profit Equations and Calculus

In this activity, students will discuss the graphical and algebraic relationships between a function and its first and second derivatives, namely a profit function.

  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
Download80
C_Derivative_Analysis_sm

Derivative Analysis

Associate the verbal language of function behavior with characteristics of the graph of the function.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™
  • TI-Nspire™ CAS
Download5,714

Elevator: Height and Velocity

Introduce ideas related to rectilinear motion.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
Download5,076
Fill the Urn ver 6 0

Filling the Urn

Work with linked representations of the related rates of change of volume and height of fluid.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™
  • TI-Nspire™ CAS
Download5,403
C_Higher_Order_Derivatives_sm

Higher Order Derivatives (CAS Tool)

Examine higher order derivatives using TI-Nspire Computer Algebra System (CAS).
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™
  • TI-Nspire™ CAS
Download5,246
C_Maximums_Minimums_Zeroes_sm

Maximums, Minimums, and Zeroes

Determine when a function has a maximum or minimum based on the derivative of the function.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Apps for iPad®
Download5,818
C_Newtons_Method_sm

Newton's Method

Visually see the geometry and calculus behind Newton's Method.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™
  • TI-Nspire™ CAS
Download5,970

Optimization - IB

Students learn how to use the second derivative test to find maxima and minima in word problems and solve optimization in parametric functions.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
Download3,537
C_Relating_Rates_sm

Relating Rates - IB

Students are given a situation of water draining out of a cylindrical tank in order to explain the process of solving related rates questions.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™
  • TI-Nspire™ CAS
Download3,957
Roller Coaster

Roller Coaster Ride

Students visualize why the first derivative test works and how it is used to determine local minima and maxima.
  • TI-Nspire™ CAS
Download2,852
17672

The Classic Box Problem - Calculus

The Box_Problem_Calculus.tns document takes a classic problem from calculus and uses the dynamic linking capabilities of TI-Nspire to enact the problem in multiple representations: diagramatic, graphic, numeric, geometric, and symbolic. The problem is posed on the title screen shown at the right.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™
  • TI-Nspire™ CAS
Download3,605