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Calculus: Antiderivatives and Slope Fields Classroom ActivitiesDownload
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FTC

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.
  • TI-84 series
Download694
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Approximating the Area Under a Curve

In this activity, students will explore approximating the area under a curve using left endpoint, right endpoint, and midpoint Riemann sums.
  • TI-84 series
Download411
Accumulation_Functions_2

Accumulation Functions

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.
  • TI-84 series
Download5,185
Approximating_Integrals_4

Approximating Integrals with Riemann Sums

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.
  • TI-84 series
Download5,486
Fundamental_Theorem_of_Calculus_2

Fundamental Theorem of Calculus

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 series
Download5,043

Bounded Areas

In this TI-84 family lesson, students will compare the Riemann Sum area estimates with the exact bounded area of a curve and the x-axis. 
  • TI-84 series
Download119

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