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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.
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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...
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Lesson Plan
Illuminations

Circumference and Areas of Circles

For Teachers 7th - 12th Standards
Middle and high schoolers listen to a scenario about a puppy and use the scenario to develop formulas in order to find the area of a circle. In this circumference lesson, pupils understand how to find the radius, diameter, area of a...
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Lesson Plan
Curated OER

Super Shapes Part 2 - Circles

For Teachers 5th - 6th
Through the use of Internet, video, and hands-on activities, youngsters learn the parts and characteristics of a circle. This fantastic lesson has some excellent website activities included in the plan. Your kids will have a much greater...
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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...
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Lesson Plan
Curated OER

The Circumference of a Circle and the Area of the Region it Encloses

For Teachers 6th - 8th Standards
Bring your math class around with this task. Learners simply identify parts of a given circle, compute its radius, and estimate the circumference and area. It is a strong scaffolding exercise in preparation for applying the formulas for...
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Lesson Plan
Curated OER

Measures of Circular Motion

For Teachers 9th - Higher Ed
Physicists become Olympians in a competition using centripetal force. They ride a bicycle to comprehend relationships between linear and rotational motion. If you have an old-fashioned record player, it can be used to help pupils...
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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...
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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...
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Printables
Embedded Math

The Unit Circle

For Teachers 10th - 12th Standards
You and your learners will enjoy having a nicely organized, typed up unit circle, all filled in with degrees and radians as well as cartesian coordinates. 
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Lesson Plan
Curated OER

Measuring the Area of a Circle

For Teachers 6th - 8th Standards
When mathematical errors happen, part of the learning is to figure out how it affects the rest of your calculations. The activity has your mathematicians solving for the area of a circular pipe and taking into consideration any errors...
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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...
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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.
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Lesson Plan
Texas Instruments

Drawing a Line Tangent to a Circle

For Teachers 9th - 12th Standards
Explore lines tangent to a circle. In this math lesson, students manipulate circles and lines on a TI calculator. They draw a circle  and analyze perpendicular lines intersecting the circle in only one place. This activity works best if...
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Activity
101 Questions

Best Circle

For Teachers 9th - 12th Standards
Drawing the perfect circle is harder than one would think! What makes a circle a circle and how can you define that with a formula? Young mathematicians devise their own methods of analyzing the imperfections of circle drawings. Using...
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Lesson Plan
Curated OER

Area of Circles and Probability

For Teachers 8th - 12th
Young scholars investigate the area of squares and circles. In this geometry lesson, students calculate the area and probability of simple events. They work on a laptop using Safari.
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Activity
101 Questions

Penny Circle

For Teachers 7th - 12th Standards
Watch as your classes buy into a rich lesson full of information. A video opener challenges individuals to determine the number of pennies that fit in a circle with a 22-inch diameter. Using lesson materials, scholars collect data and...
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Activity
101 Questions

Coins in a Circle

For Teachers 9th - 12th Standards
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.
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Worksheet
Curated OER

Practicing Circles

For Students Pre-K - K Standards
Get your writers ready to print curved letters using this whimsical instructional activity. 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...
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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...
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Activity
101 Questions

Suitcase Circle

For Teachers 9th - 12th Standards
Analyze patterns in a circular arrangement. After using a geometric construction to complete a circle, learners use proportional reasoning to make predictions. By determining the length of an arc built from suitcases, they estimate the...
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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...
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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...
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Lesson Plan
Curated OER

Review Graphing Parabolas & Circles

For Teachers 8th - 12th
Students review how to graph parabolas. They practice graphing two different parabolas using the vertex and table method. They solve problems related to graphing circles, determining the radius and the center.

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