Assessment
Illustrative Mathematics

Lines of Symmetry for Circles

For Students 4th Standards
Further your instruction on geometrical symmetry with an investigation of circles. Fourth graders come to realize that the lines of symmetry of a circle are infinite.
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 then provides an exercise set for learners to...
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...
Instructional Video21:05
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Flipped Math

Circles and Arc Lengths

For Students 9th - 12th Standards
Discuss all things round and round. Pupils review finding area and the circumference of circles and use them to solve problems. Next, they learn about central angles and their relationships to measures of arcs. Learners then find out how...
Activity
1
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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 students gain an understanding of the Pythagorean theorem and the equation of a circle. Once they have accomplished the first...
Worksheet
Curated OER

Coordinate Grid: Area and Circumference of Circles

For Students 9th - 12th
Here is a geometry worksheet in which learners plot the points of a circle onto a coordinate grid and proceed to calculate the area or circumference of the circle. There are four questions.
Worksheet
Curated OER

Practicing Circles

For Students Pre-K - K Standards
Get your writers ready to print curved letters using this whimsical worksheet. They trace 14 circular elements in an underwater scene, following the arrow and trying to stay on the dotted line. There are large and small circles here to...
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...
Worksheet
Curated OER

Interpreting Circle Graphs

For Students 4th - 6th Standards
What does this pie chart mean? Once scholars can analyze a circle graph on a basic level (i.e. "Most people prefer cats"), it's time to delve deeper into it. They examine two graphs here, and are given the total number of participants...
Activity
Noyce Foundation

Circular Reasoning

For Students K - 12th Standards
Examine the origin and application of pi in five different levels. The five lessons in the resource begin with an analysis of the relationship between the radius and circumference of a circle. The following lessons lead learners through...
Worksheet
Curated OER

Unit VIII Worksheet 5: Circular Motion

For Students 9th - 12th
Seven problems send physics stars out of this world! Challenge learners to calculate centripetal force, time to complete revolutions, circular speed, and acceleration. They also are asked to explain scenarios and draw a force diagram for...
Worksheet
Curated OER

Circle Ten

For Students Pre-K - 1st
A simple pair of counting worksheets (each featuring five sets of objects) gives visual learners an easy path to math. In the first worksheet, they count umbrellas, leaves, airplanes, acorns, and strawberries, circling ten objects in...
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...
Lesson Plan
Willow Tree

Circle Graphs

For Students 9th - 12th Standards
Pie isn't just for eating! Scholars learn to create pie charts and circle graphs to represent data. Given raw data, learners determine the percent of the whole for each category and then figure out the degree of the circle that percent...
Assessment
Mathematics Assessment Project

Circle Pattern

For Students 7th - 9th Standards
Cool circle patterns! To investigate patterns of shading in circles, learners use the values for specific examples of the pattern to generate a verbal rule for the arrangement.
Lesson Plan
EngageNY

Secant Lines; Secant Lines That Meet Inside a Circle

For Teachers 9th - 12th Standards
Young mathematicians identify different cases of intersecting secant lines. They then investigate the case where secant lines meet inside a circle.
Assessment8:43
Mathed Up!

Area and Circumference of Circles

For Students 8th - 10th Standards
Don't go around and around, help your class determine amounts around and in a circle with a video that connects circumference to the perimeter or the distance around an object. The resource includes 14 questions dealing with circles and...
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
EngageNY

Similar Triangles in Circle-Secant (or Circle-Secant-Tangent) Diagrams

For Teachers 9th - 12th Standards
First angle measures, now segment lengths. High schoolers first measure segments formed by secants that intersect interior to a circle, secants that intersect exterior to a circle, and a secant and a tangent that intersect exterior to a...
Activity
It's About Time

Circular Motion

For Teachers 7th - 12th
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...
Lesson Plan
EngageNY

Special Triangles and the Unit Circle

For Teachers 11th - 12th Standards
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value...
Assessment
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Balanced Assessment

Square and Circle

For Students 9th - 12th Standards
To determine the dimensional change to quadruple the area, class members determine how to increase the dimensions of a square and a circle to increase the perimeter by a given factor. they then calculate the necessary factor to...
Worksheet
Curated OER

Circle Area, Perimeter and Circumference

For Students 7th - 9th
Use this geometry skills practice activity to have learners solve seven problems that require them calculate the circle area, perimeter, and circumference of circles.
Worksheet
Curated OER

Shapes Worksheet: Tracing Circles

For Students Pre-K - 1st
Early learners practice tracing 7 different sized circles and then draw 5 circles on their own in the space provided. A good, basic instructional activity for working on fine motor skills.

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