84 Activity Central - Calculus - Antiderivatives and Slope Fields by Texas Instruments

Calculus: Antiderivatives and Slope Fields Classroom Activities		Download
$hero$ 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. Standards Textbook	TI-84 Plus CE TI-84 Plus C Silver Edition TI-84 Plus Silver Edition TI-84 Plus	Download604
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. Standards Textbook	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. Standards Textbook	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. Standards Textbook	TI-84 Plus CE TI-84 Plus C Silver Edition TI-84 Plus Silver Edition TI-84 Plus	Download5,486
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. Standards Textbook	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	Download60

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FTC

Approximating the Area Under a Curve

Accumulation Functions

Approximating Integrals with Riemann Sums

Fundamental Theorem of Calculus

Bounded Areas

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