Lesson Plan
EngageNY

Writing the Equation for a Circle

For Teachers 9th - 12th Standards
Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The lesson plan then provides an exercise set for learners...
Interactive
CK-12 Foundation

Equations of Circles: Finding the Equation of a Circle

For Students 11th - Higher Ed Standards
It's all about location and size. With the aid of the interactive, pupils explore the relationship between the location and size of a circle and its equation. The learners use that relationship to determine the equation of a circle given...
Activity
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Curated OER

Explaining the equation for a circle

For Teachers 9th - 12th Standards
By first starting with an explicit example of a radius and center point, this challenging lesson tries to help high schoolers gain an understanding of the Pythagorean theorem and the equation of a circle. Once they have accomplished the...
Lesson Plan
West Contra Costa Unified School District

Finding the Equation of a Circle

For Teachers 9th - 12th Standards
Tired of going around and around for a resource on circles? Scholars determine the general equation of a circle on a coordinate plane, then participate in an activity matching equations to the radii and centers of the circles...
Lesson Plan
Illustrative Mathematics

The Circle and The Line

For Teachers 8th - 12th Standards
Here is a resource where algebra learners show their understanding of a system of equations involving a circle and a line. Once graphed, learners see two points of intersection, one where the ordered pair is read, and a second where...
Interactive
CK-12 Foundation

Equations of Circles: The Sea of Happiness

For Students 11th - Higher Ed Standards
Map this! Help your young mathematicians draw a circular island on a map. Given specifics of the location and size of an island on a map, pupils transform a circle to meet the given requirements. They then determine the location of the...
Lesson Plan
Virginia Department of Education

Circles in the Coordinate Plane

For Teachers 9th - 11th Standards
Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...
Assessment
Concord Consortium

Shooting Arrows through a Hoop

For Students 9th - 12th Standards
The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...
Lesson Plan
Curated OER

Equations of Circles

For Teachers 9th - 12th Standards
Using Cabri Jr. students construct a circle and determine the equation of the circle they drew by finding the center and the radius. Students use the distance formula to derive the equation of their circle.
Lesson Plan
EngageNY

Recognizing Equations of Circles

For Teachers 9th - 12th Standards
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
Lesson Plan
Curated OER

Equation of a Circle

For Teachers 9th - 12th Standards
Learners write the equation of a circle. For this geometry lesson, students check the solution of a coordinate pair by evaluating them. They graph the circle given the equation and radius.
Lesson Plan
Illustrative Mathematics

Eight Circles

For Teachers 6th - 9th Standards
We are used to finding the area of a circle by plugging the radius into an equation. Here, learners are required to go further to find multiple areas and calculate the difference. They must detect a pattern in order to figure out the...
Worksheet
Curated OER

Graphing and Properties of Circles

For Students 9th - 12th
In this circles worksheet, student solve 18 circles problems in graphing and short answer format.  Students find the equation of a circle given the center and radius and vice versa.  Students graph circles given their equation.
Interactive
CK-12 Foundation

Circles Centered at the Origin: The Map of the Beta Solar System

For Students 11th - Higher Ed Standards
Calculate galactic orbits in a far-out resource. Pupils drag a point on a circle to graph the orbit of a fictional planet. Using the equation, they find points through which the orbit passes. To finish the simulation, users determine the...
Interactive
CK-12 Foundation

Circles Not Centered at the Origin: Room Rearranging

For Students 11th - Higher Ed Standards
Where does a circular table fit best? Individuals move a circle representing a table into different quadrants of a room. Pupils determine which equation of the circle will place the table in the appropriate quadrant. A discussion...
Assessment
Mt. San Antonio Collage

Quiz 1: Types of Functions

For Students 9th - 12th Standards
Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...
Interactive
CK-12 Foundation

Circles Centered at the Origin: Dog

For Students 11th - Higher Ed Standards
How many bones can a dog on a leash reach? Class members move a dog on the end of its leash and determine whether it can reach bones located at specific points. The learners see whether the bone lies on the circle or outside of the...
Worksheet
Curated OER

Algebra II - Lesson 10-3: Circles

For Students 9th - 12th
In this equations of circles worksheet, learners solve 4 short answer problems. Students find an equation of a circle given the center and radius.
Assessment
Curated OER

Expressing Geometric Properties with Equations

For Students 9th - 11th Standards
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria. 
Unit Plan
Radford University

The Puppy’s Empire

For Teachers 9th - 12th Standards
Dogs can't do math ... but people sure can! A set of five lessons has scholars apply math concepts to solve problems related to buying a new dog, such as designing a fence and a dog house, estimating how large the dog will become, and...
Lesson Plan
Mathematics Assessment Project

Sorting Equations of Circles 1

For Teachers 9th - 12th Standards
Round and round we go. Learners first complete a task on writing equations of circles. They then take part in a collaborative activity categorizing a set of equations for circles based on the radius and center.
Lesson Plan
Curated OER

Exploring Circles

For Teachers 9th - 12th
Students explore circles using a graphing calculator. For this circles lesson, students write the equation of a circle with a given center and radius length. Students find the most appropriate model for each combination of data they...
Assessment
Mathed Up!

Simultaneous Equations with a Quadratic

For Students 9th - 12th
Viewers discover how to solve quadratic-linear systems with a video that first explains the substitution method for solving a system of equations involving a quadratic. Scholars then complete a worksheet of practice problems.
Lesson Plan
EngageNY

Decimal Expansion of Pi

For Students 8th Standards
Develop a better understanding of the value of pi. Learners explore the area of a circle using estimation and graph paper. While continuing to estimate the area of the circle using smaller and smaller grids, the number pi emerges.