Subject:
Higher Education, Mathematics, Algebra, Geometry, Astronomy
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Center, Complete the Square, Conic Section, Distance Formula, Eccentricity, Ellipse, Elliptical Orbit, Focal Point, Foci, Focus, Horizontal Ellipse, Major Axis, Mathematics, Minor Axis, Planetary Orbit, Quadratic Function, Standard Form, Tmm0022, Vertex, Vertical Ellipse
License:
Creative Commons Attribution-NonCommercial 4.0
Language:
English
Media Formats:
Downloadable docs, Text/HTML

Ellipses

Module Overview

Ellipse - conic section, foci, major and minor axes, vertices, standard form, eccentricity

TMM 002 PRECALCULUS (Revised March 21, 2017)

AdditionalOptional Learning Outcomes:
2. Geometry: The successful Precalculus student can:

2f. Represent conic sections algebraically via equations of two variables and graphically by drawing curves.
Sample Tasks:

  • The student can perform the process “completing the square” transforming the equation into a standard form.
  • The student can draw curves representing conic sections.
  • The student can solve systems of equations involving linear and quadratic functions.
  • The student can parametrize conic curves.

Section 1: Ellipses

In this module we will learn about ellipses.

Learning Objectives:

  • Definition
  • Foci, Minor and Major Axes, Vertices, Center
  • Standard equation vertical and horizontal ellipses
  • Eccentricity
  • Graph