# Activities

• • • ##### Subject Area

• Math: Algebra II: Polynomials

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

• ##### Report an Issue

Elliptical Orbits

#### Activity Overview

This lesson involves generating equations of best fit for an ellipse.

#### Objectives

• Students will model a curve from a picture on the graph screen.
• Students will apply the general equation of an ellipse whose center is not at the origin.
• Students will solve an equation of an ellipse in x and y for the variable y.

#### Vocabulary

• ellipse
• vertices
• general equation of an ellipse

#### About the Lesson

This lesson involves generating equations of best fit for an ellipse.
As a result students will:

• Be able to calculate values for parameters for the general equation of an ellipse from the graph of an ellipse whose center is not the origin.
• Create two functions to model the equation of an ellipse, one is the top half and the other is the bottom half of the ellipse.
• Verify that the equations do in fact closely model the actual path of a planet in orbit.