Equations of Circles Teacher Resources

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.

How much can you tell about a circle from its equation? This detailed lesson plan focuses on connecting equations and graphs of circles. Learners use equations to identify x- and y-intercepts, centers, and radii of circles. They also...

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 +...

In this equations of circles activity, 10th graders solve 10 different problems that include graphing different circles. First, they convert the equations into center-radius form given the coordinates of the center of the circle and its...

Students take an Algebra II/Trigonometry sample test.  In this Algebra II/Trigonometry sample sample test lesson, students take a sample test for Algebra 2/Trigonometry.  Students solve 39 multiple choice/short answer...

Students graph circles. In this graphing lesson plan students write equations for circles. Students solve equations for circles and graph the results.

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...

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...

In this equations of circles worksheet, students solve 4 short answer problems. Students find an equation of a circle given the center and radius.

The equation of a circle is explored in this video by looking first at the equation of a circle with the center at the origin; then building upon that, equations of circles that are shifted off the origin.

This video explores the equation of a circle by first looking at the equation of a circle with the center at the origin and then building upon that, equations of circles that are shifted off the origin.

Test eight from The Official SAT Study Guide includes eighteen problems, the first four of which are featured in this video. Basic algebraic expressions, linear equations, tangent circles, and coordinates on a plane test algebra and...

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...

Lead your class in this exciting activity to learn more about motion and its importance. Pupils learn about a centripetal and why it is required to maintain a constant speed in a circulating moving mass. They apply the equation for...

Using Cabri Jr. young scholars 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.

In this writing equations worksheet, students examine given information and write the equation of a circle in standard form. This four-page worksheet contains 30 problems. Answers are provided on the last page.

A geometry module connects algebraic reasoning to geometry. It challenges scholars to investigate the slope criteria for parallel and perpendicular lines, prove theorems involving coordinate geometry, and write equations for circles and...

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. 

Shake up things in the classroom. The unit uses earthquakes to bring a real-life connection to finding arc lengths, logarithms, and equations of circles. Small groups determine whether particular towns would have felt an earthquake after...

Students will define circle and radius. In this radius instructional activity,  students are given a circumference, they will write an equation and sketch the circle. Students will match graphs of circles to their...

Feel like you're going in circles? The fifteenth lesson in a series of 29 videos gives pupils a resource for writing equations of circles in standard form. Once in standard form, the instructor graphs the circle.

In this Pre-calculus/Trigonometry worksheet, students prove trigonometric identities and find all values that satisfy the equations of circular trigonometric functions. The four page worksheet contains twenty-four problems. Answers are...

From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...

Students investigate two and three dimensional shapes. In this geometry lesson, students write equations of circles and graph them correctly. They create pictures using circles.