# Activities

• ##### Download

• • ##### Subject Area

• Math: Precalculus: Analytic Geometry (Conics)

• ##### Author 9-12

45 Minutes

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

TI-Nspire™ CX
TI-Nspire™ CX CAS

4.5

• ##### Report an Issue

Polar Conics #### Activity Overview

This lesson involves exploration of polar equations for conic sections.

#### Objectives

• Students will understand that the equations for conics can be expressed in polar form.
• Students will be able to describe the relationship between eccentricity and the type of conic section.
• Students will be able to describe the relationship between distance from the conic to the directrix and the graph of the conic section.
• Students will be able to describe the effects of a phase shift in the polar form of an equation for a conic on the graph of the conic.

• polar form
• conic
• parabola
• ellipse
• hyperbola
• directrix
• eccentricity
• phase shift

#### About the Lesson

This lesson involves exploration of polar equations for conic sections.
As a result, students will:

• Manipulate the parameters of polar equations for conics and observe the results.
• Investigate the parameters required to produce a specified conic.