Education Technology

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.
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS

Average Value

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

Definite Integral

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

MVT for Integrals

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

Piecewise Linear Integral

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

Riemann Rectangle Errors

Use three Riemann sums used to estimate the area of a plane region.
• TI-Nspire™
• TI-Nspire™ CAS

Riemann Sums

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

Solids of Revolution - Disks

Use visual representation of solids of revolution to find the exact volume of the solid.
• TI-Nspire™
• TI-Nspire™ CAS

Rectangle and Trapezoid Approximations to Definite Integrals

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