Graphic
Math2

Math2: Circles

For Students 9th - 10th Standards
This site has many useful formulas and examples relating to circles, including related definitions, circumference of a circle, area of a circle, length of a circular arc, area of a circular sector, equation of a circle in cartesian...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe Explaining the Equation for a Circle

For Teachers 9th - 10th Standards
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...
Unknown Type
Khan Academy

Khan Academy: Graph a Circle From Its Standard Equation

For Students 9th - 10th Standards
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.
Unknown Type
Khan Academy

Khan Academy: Graph a Circle From Its Expanded Equation

For Students 9th - 10th
Given the expanded 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.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Circles

For Students 9th - 10th
Detailed math tutorial features notes and examples that illustrate graphing circles.
Graphic
University of St. Andrews (UK)

University of St. Andrews: Involute of a Circle

For Students 9th - 10th
This site from the University of Saint Andrews shows the involute of a circle graphically and gives brief history. Cartesian equation is given.
Activity
Texas Instruments

Texas Instruments: Circles in the Plane

For Teachers 9th - 10th
In this activity, students can use the Cabri Jr. application to explore circles in a plane. They will investigate the relationship between the equation of a circle, the length of its radius, and the coordinates of its center. [Requires...
Activity
Purple Math

Purplemath: Completing the Square: Circle Equations

For Students 9th - 10th Standards
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.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Circles in the Coordinate Plane

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This concept teaches students how to graph circles and find the standard equations of circles. Students examine guided notes, review guided practice, watch...
Activity
BBC

Bbc: The Circle

For Students 9th - 10th Standards
The equation of a circle is the focus of this site. Topics include tangents, intersecting circles, and intersection of lines and circles. Examples and a practice test are available.
Activity
Texas Instruments

Texas Instruments: Coordinate Geometry Circles

For Teachers 6th - 8th
In this activity, students investigate the relationship between the coordinates of a point on the circle, radius of a circle, and the values in the equation of the circle.
Interactive
University of St. Andrews (UK)

University of St. Andrews: Involute of a Circle

For Students 9th - 10th
This site, which is provided for by the University of St. Andrews, allows you to zoom in/out and add evolutes, involutes, etc.
Handout
Cuemath

Cuemath: Equation

For Students 9th - 10th
A comprehensive guide for learning all about equations with definitions, how to solve them, solved examples, and practice questions.
Activity
Texas Instruments

Texas Instruments: Exploring Circles

For Teachers 9th - 10th
Explore the relationship between the center and radius of a circle and the equation of the circle. Collect data and determine regression equations related to various combinations of data, and use the regression equations to make...
Unknown Type
McGraw Hill

Glencoe Mathematics: Online Study Tool: Self Check Quiz on Circles

For Students 9th - 10th Standards
The online assessment exhibits knowledge of advanced mathematical concepts in Trigonometry. The questions evaluate students on the topic of circles.
Handout
University of Regina (Canada)

Univeristy of Regina: Math Central: Tangent Lines and Circle Equations

For Students 9th - 10th Standards
This site offers a problem and solution to finding all possible slopes for a line tangent to a circle given a particular equation of a circle. Could be an interesting challenge for students.
Handout
Science Struck

Science Struck: A Comprehensive List of All the Physics Formulas

For Students 9th - 10th
Provides a long list of physics formulas for easy reference.
Unknown Type
Khan Academy

Khan Academy: Arc Measure With Equations

For Students 9th - 10th Standards
Use the fact that the arc measures of a circle must sum to 360 degrees to find missing arc measures by setting up equations. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
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.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: General Forms of Conic Sections

For Students 9th - 10th Standards
[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,...
Activity
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Circles

For Students 9th - 10th Standards
Use this tutorial to learn about the standard-form equation for a circle. Several step-by-step solutions and examples help you understand the part of the circle and how they relate to the equation.
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.
Activity
Texas Instruments

Texas Instruments: Match the Graph (Circles)

For Teachers 9th - 10th
Students will learn about the equation for a circle by using a Study Cards stack. Later, students will attempt to match the graph of a circle from a digital picture, using the form learned previously, and approximating the center and...
Handout
American Association of Physics Teachers

Com Padre Digital Library: Open Source Physics: Circular Well Model

For Teachers 9th - 10th
This downloadable java simulation models the 2D energy eigenstates of a particle trapped in a very deep two-dimensional circular well.