Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei the Circle and the Line

For Teachers 9th - 10th Standards
Students are required to solve a system of equations in this task which will demonstrate their understanding of the correspondence between intersection points of the two graphs and solutions of the system. Aligns with A-REI.C.7.
Activity
CK-12 Foundation

Ck 12: Circles in the Coordinate Plane

For Students 9th - 10th
[Free Registration/Login Required] Students will move points on a circle to explore standard equations when given the radius and center. Click challenge me to answer practice problems and click learn more to watch a video.
Activity
CK-12 Foundation

Ck 12: Circles in the Coordinate Plane: Watering the Field

For Students 9th - 10th
[Free Registration/Login Required] Students can move points in a circle to determine the standard equation from the raidus and center. Click challenge me to answer practice questions and click learn more to watch a video.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe Slopes and Circles

For Teachers 9th - 10th Standards
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...
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.
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.
Whiteboard
ClassFlow

Class Flow: Equations

For Teachers 9th - 10th Standards
[Free Registration/Login Required] Students interpret algebraic equations and inequalities geometrically and describe geometric relationships algebraically.
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. 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 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: 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.
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.
Unknown Type
Khan Academy

Khan Academy: Write Standard Equation of a Circle

For Students 9th - 10th Standards
Given the graph of a circle or its features, practice finding its standard equation.
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.
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...
eBook
Physics Classroom

The Physics Classroom: Circular and Satellite Motion: Newton's 2nd Law Revisited

For Students 9th - 10th
In this interactive module, students use free-body diagrams, Newton's second law equation, and circular motion concepts to analyze a variety of physical situations involving the motion of objects in circles or along curved paths.
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.
eBook
Physics Classroom

The Physics Classroom: Circular and Satellite Motion: Principles for Satellites

For Students 9th - 10th
Students explore how a satellite's motion is governed by the same physics principles and described by the same mathematical equations.
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]
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.
PPT
Sophia Learning

Sophia: Equations for the Circle: Lesson 3

For Students 9th - 10th Standards
This lesson presents the standard form and the general form for the equation of a circle, and relates the two. It is 3 of 5 in the series titled "Equations for the Circle."
Unit Plan
Sophia Learning

Sophia: Equations for the Circle: Lesson 5

For Students 9th - 10th
This lesson presents the standard form and the general form for the equation of a circle, and relates the two. It is 5 of 5 in the series titled "Equations for the Circle."
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.
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.

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