# Activities

• • • ##### Subject Area

• Math: Calculus: Antiderivatives and Slope Fields

• ##### Author 9-12

60 Minutes

• ##### Device
• TI-89 / TI-89 Titanium
• TI-92 Plus / Voyage™ 200

Integration

#### Activity Overview

This Computer Algebra System (CAS) activity encourages students to investigate the use of CAS to integrate a function.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print the page from the attached PDF file for the class
• #### During the Activity

Distribute the page to the class.

• Use CAS to calculate the definite integral of a function
• Subdivide the range into intervals of unit length and form rectangles with heights determined by the function values from the left endpoint of each interval
• Determine the sum of the function using the new interval and verify the results manually
• Divide the interval into smaller intervals
• Find the left and right end point approximations
• Observe that as the number of subdivisions increases, the approximation approaches the true value
• #### After the Activity

Students' answer questions on the Activity sheet.

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary