Lesson Plan
Alabama Learning Exchange

Alex: Conic Sections: Playing With Hyperbolas

For Teachers 9th - 10th Standards
Through a mixture of online exploration, and teacher instruction, students will discover how Hyberbolas are formed and will be able to use the key components (center, vertices and the asymptotes) to generate the equation of a graph.
Activity
University of St. Andrews (UK)

University of St. Andrews: Hyperbola

For Students 9th - 10th Standards
This University of St. Andrews site gives the parametric and cartesian equation for a hyperbola along with an example graph. The site offers links to related curves.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Sketching a Hyperbola [Pdf]

For Students 9th - 10th
The practice exercise has students sketch a hyperbola. The handout is available in PDF format.
Activity
Shodor Education Foundation

Shodor Interactivate: Conic Flyer

For Students 9th - 10th
"This applet allows the user to create graphs of conic sections. Using slider bars, one can manipulate the function to change the constant values and view the effects of those changes."
Graphic
Curated OER

Graph Hyperbola (Horiz.)

For Students 9th - 10th
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.
Graphic
Curated OER

Graph Hyperbola (Vert.)

For Students 9th - 10th
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.
Handout
Wolfram Research

Wolfram Math World: Hyperboloid

For Students 9th - 10th
This Math World site explains how the hyperboloid is created from a hyperbola, illustrated with graphs. The site then goes into detail giving the parametric and cartesian equations for a one sheeted hyperboloid and then the two sheeted...
Handout
Wikimedia

Wikipedia: Hyperbola

For Students 9th - 10th
This site from the Wikipedia encyclopedia has formulas and examples of hyperbolas. A detailed graph and several formulas and examples are given along with several links to additional information on related subjects.
Graphic
Curated OER

University of St Andrews: Hyperbola

For Students 9th - 10th
This University of St. Andrews site gives the parametric and cartesian equation for a hyperbola along with an example graph. The site offers links to related curves.
Activity
Purple Math

Purplemath: Completing the Square: Ellipses Equations

For Students 9th - 10th Standards
Demonstrates step-by-step how to complete the square for ellipses and hyperbolas. Includes several charts and graphs for understanding.
Activity
Texas Instruments

Texas Instruments: Conic Equations

For Teachers 9th - 10th Standards
This Learn Check file is a review of writing conic sections given the graph of a conic section. Students are asked to use the graphs to write the equations for a ellipse, circle, parabola, and hyperbola.
Website
Discovery Education

Discovery Education: Web Math: Plots and Geometry

For Students 9th - 10th Standards
This site provides descriptions and helpful hints regarding conic sections - circles, parabolas, ellipses, and hyperbolas. Content also includes interactive problem solvers complete with a full analysis of the math behind the answer.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Conic Sections

For Students 9th - 10th Standards
Students can investigate the graphs of conic sections in standard form. Cirlce, ellipse, and hyperbola graphs are included.
Activity
Curated OER

Zona Land

For Students 9th - 10th Standards
Site explains asymptotes well using reciprocal function as example. Points out weaknesses that technology has when graphs are close to asymptotes.
Website
Other

Xaktly: Rational Functions

For Students 9th - 10th Standards
On this site students explore the concept of rational functions. The site begins by looking at the parent function for all rational functions, which is a hyperbola. The other topics that are covered on the tutorial include horizontal...
Activity
National Council of Teachers of Mathematics

The Math Forum: Analytic Geometry: Polar Coordinates

For Students 9th - 10th Standards
This site from The Math Forum provides great information on polar coordinates. You can access this information either by clicking on the coordinates link or just scrolling down, it is the first one listed on the page. Includes several...
Graphic
Curated OER

Hyperbola Conic

For Students 9th - 10th
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.
Handout
Wolfram Research

Wolfram Math World: Focus

For Students 9th - 10th Standards
An explanation for the focus in conic sections along with diagrams. Site provides graphs, references, and a brief bibliography and citation.