Education Technology

Continuity and Differentiability of Functions

Author
Subject Area
Math: Calculus: Limits of Functions
Math: Calculus: Other Functions
Math: AP Calculus: AP Calculus
Level
9-12
Activity Time
40 Minutes
TI Calculator
TI-Nspire™
TI-Nspire™ CAS
Resource Types
Lessons

Continuity and Differentiability of Functions

Activity Overview

Students will manipulate piecewise functions to make them continuous. Once students create a continuous function, they will calculate derivatives to determine if the function is also differentiable.

Before the Activity

Download the teacher file, student worksheet, and TI-Nspire document file.

During the Activity

Encourage students to find multiple answers that make the given piecewise functions continuous.

After the Activity

Encourage students to summarize what they have learned from completing the activity.

Author
Subject Area
Math: Calculus: Limits of Functions
Math: Calculus: Other Functions
Math: AP Calculus: AP Calculus
Level
9-12
Activity Time
40 Minutes
TI Calculator
TI-Nspire™
TI-Nspire™ CAS
Resource Types
Lessons
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