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Calculus: Antiderivatives and Slope Fields Classroom ActivitiesDownload

### 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 Plus CE
• TI-84 Plus C Silver Edition
• TI-84 Plus Silver Edition
• TI-84 Plus
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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 Plus CE
• TI-84 Plus C Silver Edition
• TI-84 Plus Silver Edition
• TI-84 Plus
Download411

### 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 Plus CE
• TI-84 Plus C Silver Edition
• TI-84 Plus Silver Edition
• TI-84 Plus
Download5,185

### 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 Plus CE
• TI-84 Plus C Silver Edition
• TI-84 Plus Silver Edition
• TI-84 Plus
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### 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 Plus Silver Edition
• TI-84 Plus
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 Plus CE
• TI-84 Plus C Silver Edition
Download69