Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Conicas
Learn about the different conic sessions and try the different interactive exercises.
University of Saskatchewan (Canada)
University of Saskatchewan: Equation of a Circle
Two problems that help with the understanding of how to find the general equation of a circle. Includes a graph.
Texas Instruments
Texas Instruments: Equations of Circles
In this activity, students will explore the relationship among the location of the center of the circle, the radius of a circle, and the equation of a circle in a plane. They will also investigate the relationship between the points...
McGraw Hill
Glencoe: Quiz on the Rectangular and Parametric Form of Conic Sections
The online assessment demonstrates understanding of advanced mathematical concepts in Trigonometry. The questions assess students on the rectangular and parametric form of conic sections.
University of Saskatchewan (Canada)
University of Saskatchewan: Circles and Other Conics
Gives brief description and standard equations for the four conic sections. Includes pictures, examples, and practice problems.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Ellipse or Circle? Parametric Equation
Dr. Math, in reply to a student question, shows how a specific pair of parametric equations produces a circle as opposed to an ellipse.
Discovery Education
Discovery Education: Web Math: Plots and Geometry
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.
Discovery Education
Discovery Education: Web Math: Graphing Ellipses
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.
Varsity Tutors
Varsity Tutors: Hotmath: Conic Sections
Students can investigate the graphs of conic sections in standard form. Cirlce, ellipse, and hyperbola graphs are included.
Varsity Tutors
Varsity Tutors: Hotmath: General Form for Conic Sections
Students investigate the general form of the equation for a conic section. This interactive tool evaluates the changes that occur from using different coefficients in the equation.
Sophia Learning
Sophia: Equation of a Circle: Introduction
Follow along with this tutorial to explore writing equations of a circle.
Texas Instruments
Texas Instruments: Conics: Circles
In this study of conics, students will examine the derivation of equations for circles. There are two general equations for circles. The first is a circle whose center is at the origin, while the second is a circle whose center is not at...
Khan Academy
Khan Academy: Graph a Circle From Its Standard Equation
Given the standard form equation of a circle, graph the circle. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Features of a Circle From Its Expanded Equation
Find the center and radius of a circle given the equation in expanded form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Johan Claeys
Math Abundance: The Hyperbola
Great Site! Defines Hyperbola, gives the parametric equation, etc.
Johan Claeys
Math Abundance: The Circle: Basic Concepts
Goes over the equation of a circle, parametric equations of a circle, intersection of circle and line, tangent line in a point of a circle, etc.
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: Circle Equations
This tutorial works through two examples step by step that shows how to complete the square for finding the center and radius of a circle.
Purple Math
Purplemath: Conics: Ellipses: Introduction
Introduces the basic terms, variables, and equations for ellipses, and discusses their physical properties.
Purple Math
Purplemath: Conics: An Overview
Introduces the basics of conics in algebra, including a flow-chart for determining which sort of conic is represented by a given equation.
Illustrative Mathematics
Illustrative Mathematics: G Gpe Slopes and Circles
The purpose of this task is to lead students through an algebraic approach to a well-known result from classical geometry, namely, that a point X is on the circle of diameter AB whenever angle AXB is a right angle. This consists of...
Illustrative Mathematics
Illustrative Mathematics: G Gpe Explaining the Equation for a Circle
This problem examines equations defining different circles in the x-y plane. Students must use the Pythagorean Theorem to find equations whose solutions are points on the circle and explain why they work. Includes a GeoGebra worksheet...
Khan Academy
Khan Academy: Features of a Circle From Its Standard Equation
Find the center and radius of a circle given the equation in standard form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Equation of an Ellipse From Features
Given the foci of an ellipse (and some other feature), find its equation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.