Education Technology

# Activities

• ##### Subject Area

• Math: Calculus: Applications of Integral, Antiderivatives and Definite Integrals

9-12

50 Minutes

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

## Riemann Sums

#### Activity Overview

Students use their TI-89 to investigate Riemann sums and learn how to construct them. They take the limit of two Riemann sums and find out that the limits exist and are the same. They compare this limit to the definite integral of the function.

#### Before the Activity

Students should have access to the TI-89/TI-89 Titanium and TI-92 Plus/Voyage 2000.

#### During the Activity

Students use their TI-89 to investigate Riemann sums and learn how to construct them. They take the limit of two Riemann sums and find out that the limits exist and are the same. They compare this limit to the definite integral of the function. The document attached is the activity guide.

#### After the Activity

Review student answers:

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