Wolfram Research
Wolfram Mathworld: Conic Section Directrix
Explains how the directrix relates to the three conic sections: parabola, ellipse, and hyperbola. Includes a definition, formulas, and links to related topics.
CK-12 Foundation
Ck 12: Analysis: Applications of Parabolas
[Free Registration/Login may be required to access all resource tools.] Exploring the similarity of parabolas and their use in real world applications
Purple Math
Purplemath: Completing the Square: Ellipses Equations
Demonstrates step-by-step how to complete the square for ellipses and hyperbolas. Includes several charts and graphs for understanding.
Purple Math
Purplemath: Completing the Square: Finding the Vertex
Demonstrates step-by-step how to complete the square to find the vertex of a parabola. Thorough descriptions of each problem.
Purple Math
Purplemath: Conics: Ellipses: Introduction
Introduces the basic terms, variables, and equations for ellipses, and discusses their physical properties.
Purple Math
Purplemath: Conics: Parabolas: Introduction
This reference material introduces the terms and equations related to parabolas in the context of conics. Also, relates concepts to previously-learned material and shows how to 'read' from the 'conics' form of the parabola equation.
CK-12 Foundation
Ck 12: Analysis: Hyperbola Equations and the Focal Property
[Free Registration/Login may be required to access all resource tools.] Students learn by exploring the focal property and graphing hyperbolas. Students examine guided notes, review guided practice, watch instructional videos and attempt...
CK-12 Foundation
Ck 12: Analysis: General Forms of Conic Sections
[Free Registration/Login may be required to access all resource tools.] In this lesson students review the general forms of conic section equations, identifying conic sections from their equations. Students examine guided notes, review...
CK-12 Foundation
Ck 12: Analysis: General Forms of Conic Sections
[Free Registration/Login may be required to access all resource tools.] This lesson covers changing a general second-degree equation into the standard form of a parabola, ellipse, circle or hyperbola. Students examine guided notes,...
Integrated Publishing
Web Algebra: The Ellipse
A lengthy example on how to formulate the equation of an ellipse.
Math Open Reference
Math Open Reference: Ellipse
A complete reference guide to an ellipse. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Wolfram Research
Wolfram Math World: Circle
This site from Mathworld provides a wealth of information about circles is presented. The information ranges from the basics--radius, circumference, etc.--to advanced concepts--equations in polar and pedal coordinates, etc.
Wolfram Research
Wolfram Math World: Focus
An explanation for the focus in conic sections along with diagrams. Site provides graphs, references, and a brief bibliography and citation.
National Council of Teachers of Mathematics
The Math Forum: Conic Basics
A written description of the different conic sections is described at this site from the Math Forum. The description identifies the importance of the eccentricity in determining the type of conic.
National Council of Teachers of Mathematics
The Math Forum: Everyday Appearances of Conics
Just getting started with conics and you need some examples of where they occur? Check out Dr. Math's reply to such a question.
Math Words
Math words.com: Conic Sections
Examples of conic sections are given and the equation for their standard form is also given.
Math Words
Math words.com: Hyperbola
A definition for what a hyperbola is along with example diagrams of what horizontal and vertical hyperbolas are and gives the standard form equation.
National Council of Teachers of Mathematics
The Math Forum: Foci of an Ellipse
The question, "If the major and minor axis of an ellipse are given, how do I find the focus points?" is answered at the Math Forum.
Wolfram Research
Wolfram Math World: Asymptote
This site from MathWorld provides a picture, or diagram of the asymptotes along with a very brief, one sentence definition. Links are provided for related subjects, along with a short bibliography.
Math Words
Math Words: Degenerate Conic Sections
A brief definition of what degenerate conic sections are along with a picture.
Curated OER
Circle Conic
An overview of the four types of conic sections is presented. The origin of how each conic is formed and a table of various characteritics specific to each type of conic is shown.
Curated OER
Ellipse Conic
An overview of the four types of conic sections is presented. The origin of how each conic is formed and a table of various characteritics specific to each type of conic is shown.
Curated OER
Parabola Conic
An overview of the four types of conic sections is presented. The origin of how each conic is formed and a table of various characteritics specific to each type of conic is shown.
Curated OER
Hyperbola Conic
An overview of the four types of conic sections is presented. The origin of how each conic is formed and a table of various characteritics specific to each type of conic is shown.