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 series
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
Download4,705

Continuity and Differentiability 1

Explore piecewise graphs and determine conditions for continuity and differentiability.
  • ax-icon-color-device
    TI-Nspire™ CX series
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
Download5,410

Continuity and Differentiability 2

Explore piecewise graphs and determine conditions for continuity and differentiability.
  • ax-icon-color-device
    TI-Nspire™ CX series
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
Download4,520

Critical Points and Local Extrema

Visualize the connections between the critical points and local extrema.
  • ax-icon-color-device
    TI-Nspire™ CX series
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
Download5,987
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 series
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
Download6,279

Derivative Grapher

Visualize the relationship between the graph of a function and the graph of its derivative function.
  • ax-icon-color-device
    TI-Nspire™ CX series
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
Download6,042
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 series
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Apps for iPad®
  • TI-Nspire™
Download6,041
07-14-2015 Image001

Graphical Derivatives

Apply knowledge of the graphical relationship between a function and its derivative.
  • ax-icon-color-device
    TI-Nspire™ CX series
  • TI-Nspire™
Download4,550

Graphing Relationships

In this activity, students will examine the graphs of functions along with their derivatives and look for relationships that exist.
  • ax-icon-color-device
    TI-Nspire™ CX series
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
Download163
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 series
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™
Download5,159
C_Local_Linearity_sm

Local Linearity

Visualize the idea of derivative as local slope.
  • ax-icon-color-device
    TI-Nspire™ CX series
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
Download5,325
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.
  • ax-icon-color-device
    TI-Nspire™ CX series
  • TI-Nspire™
Download4,528
MVT_for_Derivatives

MVT for Derivatives

The MVT relates the average rate of change of a function to an instantaneous rate of change.
  • ax-icon-color-device
    TI-Nspire™ CX series
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
Download5,310

Second Derivative Grapher

Visualize the relationship between the graph of a function and the graph of its second derivative.
  • ax-icon-color-device
    TI-Nspire™ CX series
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
Download5,175
Calculus_SignOfTheDerivative

Sign of the Derivative

Make a connection between the sign of the derivative and the increasing or decreasing nature of the graph.
  • ax-icon-color-device
    TI-Nspire™ CX series
  • TI-Nspire™
Download4,438
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 series
Download4,678
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 series
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™
Download5,259

Investigating the Derivatives of Some Common Functions

In this activity, students will investigate the derivatives of sine, cosine, natural log, and natural exponential functions by examining the symmetric difference quotient at many points using the table capabilities of the graphing handheld.
  • ax-icon-color-device
    TI-Nspire™ CX series
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
Download144