Education Technology

# Activities

• ##### Subject Area

• Math: Calculus: Derivatives
• Math: Calculus: Antiderivatives and Slope Fields

9-12

15 Minutes

• ##### Device
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

2.0

## Area Accumulation

#### Activity Overview

In this activity, students will numerically and graphically investigate the integral using area accumulation. Geometry Trace is used to see the family of functions produced by changing the value of a in the integral of f(x)dx from a to x. Also the kinematic relationships for integration are used with a piecewise function and with actual data.

#### Key Steps

• In this activity, students will numerically and graphically explore the integral using area accumulation.

• Students will use Geometry Trace to see the family of functions produced by changing the value of a in the integral of f(x) from a to x.

• Also the kinematic relationships for integration are used with a piecewise function and with actual data. Students are to predict and sketch the graph with the given initial conditions.