Education Technology

Area Accumulation

Subject Area
Math: Calculus: Derivatives
Math: Calculus: Antiderivatives and Slope Fields
Math: AP Calculus: AP Calculus
Level
9-12
Activity Time
15 Minutes
TI Calculator
TI-Nspire™ CX series
TI-Nspire Version
2.0
Resource Types
Lessons

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.

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.

Subject Area
Math: Calculus: Derivatives
Math: Calculus: Antiderivatives and Slope Fields
Math: AP Calculus: AP Calculus
Level
9-12
Activity Time
15 Minutes
TI Calculator
TI-Nspire™ CX series
TI-Nspire Version
2.0
Resource Types
Lessons
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