Activity
University of Illinois

University of Illinois Urbana Champaign: Chickscope Egg Math: The Shape of an Egg

For Students 9th - 10th
Drawing a perfect ellipse with pins and string is demonstrated with a java simulation.
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Ellipse or Circle? Parametric Equation

For Students 9th - 10th Standards
Dr. Math, in reply to a student question, shows how a specific pair of parametric equations produces a circle as opposed to an ellipse.
Handout
University of Saskatchewan (Canada)

University of Saskatchewan: Circles and Other Conics

For Students 9th - 10th Standards
Gives brief description and standard equations for the four conic sections. Includes pictures, examples, and practice problems.
Unit Plan
Physics Classroom

The Physics Classroom: Mathematics of Satellite Motion

For Students 9th - 10th
The mathematics associated with the motion of satellites is described. Equations (for period, velocity, acceleration and force) are stated, symbols described, and sample problems solved. Includes five practice problems with solutions and...
Website
Other

The Krell Institute: Project: Rotation of Axes

For Students 9th - 10th
This resource provides an explanation of the equation for rotation of axes with conic sections includes an example with an ellipse.
Activity
University of Illinois

University of Illinois Urbana Champaign: Chickscope Egg Math: Equations for an Ellipse

For Students 9th - 10th
Investigation and discussion of the way "Pin and string construction," works in producing an ellipse. Works through the corresponding equations in a well-ordered way.
Activity
Math Words

Math words.com: Foci of an Ellipse

For Students 9th - 10th Standards
The definition for foci for an ellipse is given and the definition for ellipse is given. Also gives a diagram and the equation for an ellipse in standard form.
Handout
Other

Platonic Realms: Function

For Students 9th - 10th Standards
Resource provides an introduction to conics. A picture of each conic, the definition, and a brief discussion about the standard form of conic equations are given, along with encouragement to master conics.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Conic Sections

For Students 9th - 10th Standards
Hotmath provides 26 practice problems relating to conic sections. Each of the practice problems include a step-by-step guide for solving their conic.
Graphic
Curated OER

Drawing of Ellipse

For Students 9th - 10th
Investigation and discussion of the way "Pin and string construction," works in producing an ellipse. Works through the corresponding equations in a well-ordered way.
Handout
National Council of Teachers of Mathematics

The Math Forum: Circles

For Students 9th - 10th Standards
Various forms of equations of circles are presented at the Math Forum: center-radius form, general form, diameter form, three-point form, and parametric form.
Activity
Texas Instruments

Texas Instruments: Conic Sections

For Teachers 9th - 10th Standards
These questions ask students to write the equations of conic sections given a variety of information. Students are also asked to find the foci of an ellipse and the asymptotes of a hyperbola. Solutions and explanations are included.
PPT
Sophia Learning

Sophia: Finding the Equation for an Ellipse: Lesson 2

For Students 9th - 10th Standards
This lesson explains the steps for how to find the equation for an ellipse given its foci and vertices. It is 2 of 4 in the series titled "Finding The Equation For An Ellipse."
PPT
Sophia Learning

Sophia: Finding the Equation for an Ellipse: Lesson 1

For Students 9th - 10th Standards
This brief lesson shows how to find the equation for an ellipse given its foci and vertices and presents a problem to try. Includes a short quiz. It is 1 of 4 in the series titled "Finding The Equation For An Ellipse."
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.
Unit Plan
University of Illinois

University of Illinois Urbana Champaign: Chickscope Eggmath: The Shape of an Egg

For Students 6th - 8th
An interactive page offering a view of a rotating egg, information on rotational symmetry, and definitions of related topics.
Graphic
Curated OER

Graphing Ellipses

For Students 9th - 10th
This WebMath site shows how to graph ellipses. Click on the form of ellipse equation you need to plot the ellipse.
Graphic
Curated OER

Graphing Ellipses

For Students 9th - 10th
This WebMath site shows how to graph ellipses. Click on the form of ellipse equation you need to plot the ellipse.
Graphic
Curated OER

Graphing Ellipses

For Students 9th - 10th
This WebMath site shows how to graph ellipses. Click on the form of ellipse equation you need to plot the ellipse.
Graphic
Curated OER

Graphing Ellipses

For Students 9th - 10th
This WebMath site shows how to graph ellipses. Click on the form of ellipse equation you need to plot the ellipse.
Activity
Other

Edwin's Animated Images: Hyperbola

For Students 9th - 10th Standards
This animated tutorial gives the focus/directrix definition of a conic. Also includes specific definition for the parabola, ellipse, and hyperbola. Includes equations for the conics in both rectangular and polar coordinates.
eBook
NASA

Nasa: Kepler's Third Law

For Students 9th - 10th
This site from NASA states Kepler's third law of motion and extends it to develop an equation for the velocity of an orbiting planet.
Handout
Math Words

Math words.com: Conic Sections

For Students 9th - 10th Standards
Examples of conic sections are given and the equation for their standard form is also given.
Handout
Other

Sierra College: Conics

For Students 9th - 10th Standards
Provides the locus of points, dominant axis and equation, discriminant, center, vertex, focus, directrix, and asymptotes for the parabola, the ellipse, and the hyperbola.