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.
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.
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.
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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...
eBook
Physics Classroom

The Physics Classroom: Circular and Satellite Motion: Satellite Motion Math

For Students 9th - 10th
In this interactive physics tutorial, students explore the variety of mathematical equations that describe the motion of satellites.
eBook
Math Planet

Math Planet: Calculating the Circumference of a Circle

For Students 6th - 9th Standards
Gain an understanding of how to find the diameter of a circle by viewing an example and a video lesson. [1:01]
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,...
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...
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: La Circunferencia

For Students 9th - 10th Standards
In Spanish. In this interactive activity you will get a clear understanding of the definition the circumference of a circle and have fun while learning the relationship between equations and figures.
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.
Interactive
Calculator Soup

Calculator Soup: Circle Calculator

For Students 9th - 10th Standards
Use this circle calculator to find the area, circumference, radius, or diameter of a circle. Given any one variable A, C, r or d of a circle you can calculate the other three unknowns.
Activity
University of Georgia

University of Georgia: Polar Coordinates

For Students 9th - 10th
This site offers a discussion on polar coordinates. The discussion is an introduction to the concept and is in very simple terms. The site could also be used a s a review, as the fundamentals of polar graphing is easily found.
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.
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Khan Academy

Khan Academy: Features of a Circle From Its Expanded Equation

For Students 9th - 10th Standards
Find the center and radius of a circle given the equation in expanded form.
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Khan Academy

Khan Academy: Features of a Circle From Its Standard Equation

For Students 9th - 10th Standards
Find the center and radius of a circle given the equation in standard form.
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
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
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.
Handout
Wolfram Research

Wolfram Math World: Parametric Equations

For Students 9th - 10th
Read a short explanation of parametric equations and how they differ from other kinds. Also provides a diagram and a bibliography.
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.
Handout
Wolfram Research

Wolfram Math World: Circle

For Students 9th - 10th Standards
This site from Mathworld provides a wealth of information about circles is presented. The information ranges from the basics--radius, circumference, etc.--to advanced concepts--equations in polar and pedal coordinates, etc.
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.
Handout
Purple Math

Purplemath: Conics: An Overview

For Students 9th - 10th Standards
Introduces the basics of conics in algebra, including a flow-chart for determining which sort of conic is represented by a given equation.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Equality Number Sentences

For Teachers 1st - 2nd Standards
Students will compare the number of circles in two boxes. If they are equal, they will write a number sentence. Explanations and examples are included.

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