Lesson Plan
Curated OER

Ellipses And Kepler's First Law

For Teachers 9th - 12th
Students explain that planets actually orbit the center of gravity of the solar system, and that distant planets may be detected by motions of their central star around the centers of gravity of their planetary systems.
Unit Plan
Texas Education Agency

Texas Gateway: Graphing Conic Sections: Ellipses

For Students 9th - 10th
Given an equation, the student will use parameter changes to graph an ellipse and to identify the changes in the graph of an ellipse.
Unit Plan
Texas Education Agency

Texas Gateway: Graphing Conic Sections: Hyperbolas

For Students 9th - 10th
Given an equation, the student will use parameter changes to graph a hyperbola and to identify the changes in the graph of a hyperbola.
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."
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.
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.
Lesson Plan
Alabama Learning Exchange

Alex: Conic Sections: Playing With Parabolas

For Teachers 9th - 10th Standards
Through a mixture of online exploration, and teacher instruction, students will discover how parabolas are formed and will be able to use the key components from a graph (vertex, focus and directrix,) to generate the equation of a graph.
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.
Graphic
Math2

Math2.org: Algebraic and Conic Section Graphs

For Students 9th - 10th Standards
THis resource provides examples and information about Algebraic graphing.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Hyperbolas

For Students 9th - 10th
Detailed math tutorial features notes and examples that take a look at the process of graphing hyperbolas.
Activity
Texas Instruments

Texas Instruments: Solving Systems With Quadratic Equations: Systems of Conics

For Teachers 9th - 10th Standards
In this activity, students will plot the graphs of systems of equations and determine the number of real solutions of the system. Then find the solution of the system algebraically.
Handout
Purple Math

Purplemath: Graphing Quadratic Functions: Introduction

For Students 9th - 10th Standards
The most basic quadratic is y = x2. The general technique for graphing quadratics is the same as for graphing linear equations. The quadratics graph as curvy lines (called "parabolas"), rather than the straight lines generated by linear...
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
Discovery Education

Discovery Education: Web Math: Graphing Ellipses

For Students 9th - 10th Standards
WebMath offers a java applet that allows you to input information about an ellipse, in one of four forms, and gives you the graph of the ellipse.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Graphing Calculator to Analyze Polynomial Functions

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson uses a graphing calculator to graph polynomial functions. Students examine guided notes, review guided practice, watch instructional videos and attempt...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Hyperbola Equations and the Focal Property

For Students 11th - 12th
[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...
Graphic
University of Regina (Canada)

University of Regina: Math Central: Graphing Inequalities of Conic Sections

For Students 9th - 10th Standards
A solution to a student submitted problem is given. The problem involves systems of conic sections with inequalities.
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...
Activity
Purple Math

Purplemath: Completing the Square: Finding the Vertex

For Students 9th - 10th Standards
Demonstrates step-by-step how to complete the square to find the vertex of a parabola. Thorough descriptions of each problem.
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.
Handout
Math Open Reference

Math Open Reference: Parabola

For Students 9th - 10th Standards
Learn about the three ways to define a parabola: Focus and Directrix, The Graph of a Function, and As a Conic Section. Examples are provided.
Graphic
Curated OER

Graph Ellipse (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 Parabola (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 (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.