Education Technology
Calculus: Derivatives Classroom ActivitiesDownload
Calculus_Concavity

Concavity

Examine the relationship between the first and second derivative and shape of a function.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Navigator™
Download4,642

Continuity and Differentiability 1

Explore piecewise graphs and determine conditions for continuity and differentiability.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Navigator™
Download5,356

Continuity and Differentiability 2

Explore piecewise graphs and determine conditions for continuity and differentiability.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Navigator™
Download4,485

Critical Points and Local Extrema

Visualize the connections between the critical points and local extrema.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Navigator™
Download5,916
Calculus_DerivativeFunction

Derivative Function

Transition from thinking of the derivative at a point to thinking of the derivative as a function.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Navigator™
Download6,171

Derivative Grapher

Updated on

Visualize the relationship between the graph of a function and the graph of its derivative function.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Navigator™
Download5,989
image

First Derivative Test

Visualize the connections between the first derivative of a function, critical points, and local extrema.
  • 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®
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
Download5,838
07-14-2015 Image001

Graphical Derivatives

Apply knowledge of the graphical relationship between a function and its derivative.
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
Download4,523
C_Inverse_Derivative_sm

Inverse Derivative

Visualize the reciprocal relationship between the derivative of a function and the derivative of its inverse.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
Download5,112
C_Local_Linearity_sm

Local Linearity

Visualize the idea of derivative as local slope.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Navigator™
Download5,287
Calculus_MeanValueTheorem

Mean Value Theorem

Calculate slopes of secant lines, create tangent lines with the same slope, and note observations about the functions and slopes.
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
Download4,480
MVT_for_Derivatives

MVT for Derivatives

Updated on

The MVT relates the average rate of change of a function to an instantaneous rate of change.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Navigator™
Download5,268

Second Derivative Grapher

Updated on

Visualize the relationship between the graph of a function and the graph of its second derivative.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Navigator™
Download5,132
Calculus_SignOfTheDerivative

Sign of the Derivative

Make a connection between the sign of the derivative and the increasing or decreasing nature of the graph.
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
Download4,414
Calculus_SlopeOfSecantLines

Slopes of Secant Lines

Collect data about the slope of a secant line and then predict the value of the slope of the tangent line.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX II
  • TI-Nspire™ Navigator™
Download4,545
C_Symmetric_Secant_sm

Symmetric Secant

Investigate the symmetric secant line to provide an estimate for the derivative of a function at a point.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
Download5,227