EngageNY
Writing the Equation for a Circle
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 then provides an exercise set for learners to...
Curated OER
Explaining the equation for a circle
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...
CK-12 Foundation
Equations of Circles: Finding the Equation of a Circle
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...
Illustrative Mathematics
The Circle and The Line
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...
West Contra Costa Unified School District
Finding the Equation of a Circle
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 they...
Virginia Department of Education
Circles in the Coordinate Plane
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...
CK-12 Foundation
Circles Not Centered at the Origin: Room Rearranging
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...
CK-12 Foundation
Circles Centered at the Origin: The Map of the Beta Solar System
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...
CK-12 Foundation
Equations of Circles: The Sea of Happiness
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...
CK-12 Foundation
Circles Centered at the Origin: Dog
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...
Curated OER
Equations of Circles
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.
Curated OER
Graphing and Properties of Circles
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.
EngageNY
Recognizing Equations of Circles
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 +...
Illustrative Mathematics
Eight Circles
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...
Curated OER
Exploring Circles
Students explore circles using a graphing calculator. In 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...
Mathed Up!
Simultaneous Equations with a Quadratic
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.
CK-12 Foundation
Parametric Equations: Protecting the Village
Determine the location of the pillars in time. Given a table of values for two parametric equations, pupils complete the table to determine the location and time it takes to build the pillars. Learners plot the points representing...
West Contra Costa Unified School District
Solving Equations Using Balance Scale, Decomposition, and Graphing
There's more than one way to solve an equation — three, actually. Scholars learn how to solve simple linear equations in one variable using three different methods, which include using balance scales, using decomposition (e.g., turning...
Curated OER
Equation of a Circle
Students write the equation of a circle. In this geometry instructional activity, students check the solution of a coordinate pair by evaluating them. They graph the circle given the equation and radius.
Curated OER
Algebra II - Lesson 10-3: Circles
In this equations of circles learning exercise, high schoolers solve 4 short answer problems. Students find an equation of a circle given the center and radius.
Curated OER
Expressing Geometric Properties with Equations
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.
101 Questions
Coins in a Circle
Round and round you'll go! Learners watch as different-sized circles fill with coins. They collect data and then make a prediction about the number of coins that will fit in a large circular rug.
Curated OER
Worksheet 28: Parametric Equations
In this parametric equations worksheet, students read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.
Mathematics Assessment Project
Sorting Equations of Circles 1
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.