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: Write Standard Equation of a Circle

For Students 9th - 10th Standards
Given the graph of a circle or its features, find its standard equation. 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...
Unit Plan
Physics Classroom

The Physics Classroom: The Apple, the Moon, and the Inverse Square Law

For Teachers 9th - 10th
Describes the logic behind the development of Newton's law of universal gravitation. Beginning with Johannes Kepler and his three laws of planetary motion, content walks the reader through Newton's thought process and development of this...
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...
Unit Plan
Sophia Learning

Sophia: Equation of a Circle: Introduction

For Students 9th - 10th Standards
Follow along with this tutorial to explore writing equations 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.] In this lesson students find the standard equation of a circle. Students examine guided notes, review guided practice, watch instructional videos and attempt...
Handout
CK-12 Foundation

Ck 12: Geometry: Properties of a Circle Study Guide

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This study guide reviews the terminology for circles (tangent, arcs, central angles) and the equation for a circle.
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.
Unit Plan
Sophia Learning

Sophia: Components of Circular Motion

For Students 9th - 10th
A video lesson that introduces the components of circular motion. Understand that any objects that rotates around a point is in circular motion. Video also explores how to measure how far an object has rotated. Video gives equation for...
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
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.
Lesson Plan
Khan Academy

Khan: Lesson 16: Part 2 Coordinate Geometry; Trigo and Radians; Complex Numbers

For Teachers 9th - 10th Standards
2 OF 2 FOR ADDITIONAL TOPICS IN MATH. Students will use the coordinate plane and equations of lines and circles to describe figures; create the equation of a circle given the figure or use the structure of a given equation to determine a...
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."
Activity
Texas Instruments

Texas Instruments: Exploring the Equation of a Circle

For Teachers 9th - 10th Standards
Use Cabri Jr to connect a circle's equation to its location on a coordinate grid and the size of its radius.
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.
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...
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.
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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.