Elliptic Variations

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Precalculus: Analytic Geometry (Conics)

Level

9-12

Activity Time

45 Minutes

Software

TI-Nspire™ CX
TI-Nspire™ CX CAS

TI Calculator

TI-Nspire™ CX series

TI-Nspire™ CX CAS/CX II CAS

TI-Nspire Version

5.0

Resource Types

Lessons

Format

TNS

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Elliptic Variations

Activity Overview

This lesson involves exploring the curves that result from varying the defining conditions of an ellipse.

Objectives

Students will be able to describe the characteristics of the graphs of equations of the form |(x/a)|ⁿ + |(y/b)|ⁿ = 1 for various values of n.
Students will be able to describe the characteristics of the graphs of equations of the form √((x-a)²+y²)*√((x+a)²+y²) = b² when a = 4 and b varies.

Vocabulary

ellipse
superellipse
Cassini oval

About the Lesson

This lesson involves exploring the curves that result from varying the defining conditions of an ellipse.
As a result, students will:

Analyze the properties of the graphs and equations of superellipses and Cassini ovals.
Analyze the derivations of the parametric representation of a superellipse and the polar representation of a Cassini oval.

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Lesson Files

Teacher Notes PDF Student Activity DOC Student Activity PDF TI-Nspire Activity TNS

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Precalculus: Analytic Geometry (Conics)

Level

9-12

Activity Time

45 Minutes

Software

TI-Nspire™ CX
TI-Nspire™ CX CAS

TI Calculator

TI-Nspire™ CX series

TI-Nspire™ CX CAS/CX II CAS

TI-Nspire Version

5.0

Resource Types

Lessons

Format

TNS

Report an Issue

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Elliptic Variations

Elliptic Variations

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