## Precalculus

### Analytic Geometry (Conics)

The classic conic sections are addressed in this unit, including parabolas, ellipses and hyperbolas. Applications include special reflective properties of parabolas and ellipses, and the parametric forms of these curves are discussed.

### Precalculus: Analytic Geometry (Conics) Activities

Title Type

#### Introduction to Conic Sections

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.

• 3732

#### Foci Definition of Ellipses and Hyperbolas

This lesson involves observing and describing the relationships between the foci of ellipses and hyperbolas and the shape of the corresponding curves.

• 2440

#### Focus/Directrix Definition of Conics

This lesson involves observing and describing relationships between the focus and the directrix of each conic: parabolas, ellipses, and hyperbolas.

• 2316

#### Parametric Conic Sections

This activity has students create sliders to control parameters of parametric equations.

• 2192

#### Polar Conics

This lesson involves exploration of polar equations for conic sections.

• 2106

#### Elliptic Variations

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

• 2126

#### Reflective Property of Conics

This lesson involves investigating the properties of basic reflective principles of conics.

• 2092