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Calculus: Antiderivatives and Slope Fields Classroom ActivitiesDownload
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FTC

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In this activity, students will build on their comprehension of functions defined by a definite integral, where the independent variable is an upper limit of integration. Students are led to the brink of a discovery of a discovery of the Fundamental Theorem of Calculus.
  • ax-icon-color-device
    TI-84 Plus CE
  • ax-icon-color-device
    TI-84 Plus C Silver Edition
  • TI-84 Plus Silver Edition
  • TI-84 Plus
Download297
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Approximating the Area Under a Curve

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In this activity, students will explore approximating the area under a curve using left endpoint, right endpoint, and midpoint Riemann sums.
  • ax-icon-color-device
    TI-84 Plus CE
  • ax-icon-color-device
    TI-84 Plus C Silver Edition
  • TI-84 Plus Silver Edition
  • TI-84 Plus
Download411
Accumulation_Functions_2

Accumulation Functions

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In this activity, students examine functions defined by a definite integral. They create tables and graphs for integration functions. They understand the foundation of the Fundamental Theorem of Calculus.
  • ax-icon-color-device
    TI-84 Plus CE
  • ax-icon-color-device
    TI-84 Plus C Silver Edition
  • TI-84 Plus Silver Edition
  • TI-84 Plus
Download5,185
Approximating_Integrals_4

Approximating Integrals with Riemann Sums

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In this activity, students calculate Riemann sums. They demonstrate when the Riemann sums will over-approximate a definite integral. They also observe the convergence of Riemann sums as the number of subintervals get larger.
  • ax-icon-color-device
    TI-84 Plus CE
  • ax-icon-color-device
    TI-84 Plus C Silver Edition
  • TI-84 Plus Silver Edition
  • TI-84 Plus
Download5,486
Fundamental_Theorem_of_Calculus_2

Fundamental Theorem of Calculus

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In this activity, students explore the connection between an accumulation function, one defined by a definite integral, and the integrand. They also discover that the derivative of the accumulator is the integrand.
  • TI-84 Plus Silver Edition
  • TI-84 Plus
Download5,043