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...
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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.
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Khan Academy

Khan Academy: Graph a Circle From Its Standard Equation

For Students 9th - 10th
Given the standard form equation of a circle, graph the circle.
Activity
Texas Instruments

Texas Instruments: Conics: Circles

For Teachers 9th - 10th Standards
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...
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.
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.
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: 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.
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.
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."
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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.
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.
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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. 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.
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.
Unit Plan
Cuemath

Cuemath: Circumference of a Circle

For Students 6th - 8th Standards
Understand the concept of circumference by learning the definition, circumference geometry definition, circumference equation, and circumference of a circle formula. Check-out the interactive simulation for better understanding and try...
eBook
Physics Classroom

The Physics Classroom: Circular and Satellite Motion: The Inverse Square Law

For Students 9th - 10th
Through illustrated examples and interactive practice, students explore Newton's ability to relate the cause for heavenly motion (the orbit of the moon about the earth) to the cause for Earthly motion (the falling of an apple to the...
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.
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.
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...
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.

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