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Calculus: Definite Integrals and Applications Classroom ActivitiesDownload

Bounded Areas

In this lesson, students will compare the Riemann Sum area estimates with the exact bounded area of a curve and the x-axis. 
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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Average_Value

Average Value

Examine areas as integrals and as rectangles for given functions.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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C_Definite_Integral_sm

Definite Integral

Make visual connections between the definite integral of a function and the signed area between the function and the x-axis.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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C_MVT_for_Integrals_sm

MVT for Integrals

Demonstrate how the average value of a function over an interval is related to the definite integral.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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Piecewise Linear Integral

Use graphical interpretations of the meanings of definite integrals and definite integral functions.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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C_Riemann_Rectangle_Errors_sm

Riemann Rectangle Errors

Use three Riemann sums used to estimate the area of a plane region.
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Riemann_Sums

Riemann Sums

Visualize values for different Riemann sums and use these values to estimate the area of a region.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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Solids_Disks

Solids of Revolution - Disks

Use visual representation of solids of revolution to find the exact volume of the solid.
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Rectangle and Trapezoid Approximations to Definite Integrals

Use visual representation of area estimation methods in order to determine which is most accurate.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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Visualizing_Solids_of_Revolution_Washers

Visualizing Solids of Revolution - Washers

Use visual representation of solids of revolution to find the exact volume of the solid.
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