Education Technology

# Activities

• ##### Subject Area

• Math: Precalculus: Analytic Geometry (Conics)

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

5.0

## Introduction to Conic Sections

#### Activity Overview

This lesson involves observing how each of the conic sections is formed and connecting the locus definition of a parabola with the vertex form of a parabola.

#### Objectives

• Students will identify how each conic results from slicing cones.
• Students will understand the locus definition of a parabola.
• Students will describe how the values of a, h, and k in the vertex form of the equation of a parabola affect its graph.
• Students will use the locus definition of a parabola to derive the equation of a parabola and will describe the relationships among the focus, the directrix, and the values in the vertex form of a parabola.

#### Vocabulary

• circle
• ellipse
• parabola
• hyperbola
• axis of symmetry
• focus
• directrix