Unit Plan
CK-12 Foundation

Ck 12: Circular Motion

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] In the following lesson students will be asked to analyze and describe accelerated motion in two dimensions using equations including circular examples.
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.
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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.
Unknown Type
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. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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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
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]
Article
Khan Academy

Khan Academy: Uniform Circular Motion and Centripetal Acceleration Review

For Students 9th - 10th
Review the key concepts, equations, and skills for uniform circular motion, including centripetal acceleration and the difference between linear and angular velocity.
Handout
Free Math Help

Free Math Help: Completing the Square in Circle Equations

For Students 9th - 10th Standards
This discussion examines how to complete the square in circle equations. Students learn about the math concept through definitions and examples with detailed solutions.
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.
Unknown Type
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.
Unknown Type
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.
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.
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...
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.
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Ask the Pilot

For Teachers 9th - 10th Standards
In the July 2013 issue of United Airlines' Hemisphere Magazine, a pilot responded to a question about how far in the distance he could see at different altitudes. The solution involved right triangles, lines of tangency to a circle, and...
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.
Handout
Georgia State University

Georgia State University: Hyper Physics: Circular Orbit

For Students 9th - 10th
The necessity of gravitation to a circular orbit is discussed and equations for the orbital speed are derived from the law of universal gravitation. Binary systems in which two objects orbit about a center of mass are explained and...
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.
Unit Plan
CK-12 Foundation

Ck 12: Universal Law of Gravity

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Using Newton's Law of Gravity and the equations of uniform circular motion, students solve problems involving the force of gravity.
Activity
Paul Dawkins

Paul's Online Notes: Algebra: Common Graphs

For Students 9th - 10th Standards
Students investigate how to graph a wide variety of equations and functions. Topics explored are lines, rational functions, parabolas, ellipses, and transformations. Class notes, definitions, and examples with detailed solutions are...
Whiteboard
ClassFlow

Class Flow: Completing the Square Circles

For Teachers 9th - 10th Standards
[Free Registration/Login Required] This flipchart is a simple and basic flip chart showing how to find the center and radius of a circle that is in standard form as well as completing the square for equations of circles that are not in...