Education Technology
Calculus: Fundamental Theorem Classroom ActivitiesDownload
13737_step1

Applied Fundamental Theorem of Calculus

For a given function, students recognize the accumulation function as an antiderivative of the original function, and identify the graphical connections between a function and its accumulation function.
  • 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
Download3,298
areafunctionshero

Area Function Demo

Connect the area under a derivative curve to the graph of the antiderivative.
  • 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
Download4,922

Area Function Problems

Understand the relationship between the area under a derivative curve and the antiderivative function.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
Download4,840
image

Natural Logarithm

Construct the graph of the natural logarithm function from its definition.
  • 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
Download4,890

The First Fundamental Theorem of Calculus

Make visual connections between a function and its definite integral.
  • 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™
Download5,755
C_FTC2_sm

The Second Fundamental Theorem of Calculus

Students make visual connections between a function and its definite integral.
  • 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
Download5,237