Illustrative Mathematics
Running Around a Track I
The accuracy required by the design and measurement of an Olympic running track will surprise track stars and couch potatoes alike. Given a short introduction, the class then scaffolds into a detailed analysis of the exact nature of the...
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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.
Noyce Foundation
What's Your Angle?
Math can be a work of art! Reach your artistic pupils as they explore angle measures. A creative set of five problems of varying levels has young learners study interior and exterior angle measures of polygons. The introductory levels...
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Arcs in Circles
In this arcs in circles activity, 10th graders identify 10 different circles and the measurement of their arcs. First, they determine the length of a minor arc to the nearest integer. Then, students determine the radius of a circle...
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Consistent Circles
Students create a design of a circle. In this geometry lesson, students identify the measure of the diameter and radius of a circle. They graph and analyze their collected data and write equations based on direct variation.
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Circles Minilab
Students learn how to measure the diameter and circumference of a circle. In this circle lesson, students organize their data to create a graph. Students utilize their graph to make an inference about the slope of pi.
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Measuring the Earth
Students identify types of arcs and angles in a circle, find the measure of arcs and angles, and solve real world problems involving lengths of segments in circles, lengths, and areas.
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Exploring Circles
In this exploring circles worksheet, 10th graders solve 10 different types of problems that are related to determining the different measures of a circle. First, they define a circle and its center. Then, students refer to the given...
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Geometry Circles
In this circle activity, students find the measure of identified angles. Students are given the measurement of arcs and of the central angle in a circle. This two-page activity contains 45 problems. Answers are provided on page two of...
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Quiz: Angles in Circles - Angles Outside the Circle
In this angles in circles worksheet, students explore angles outside a circle. Using given trigonometric ratios, they find the missing angle measurement or the length of a line. This one-page worksheet contains ten problems.
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Making Circle Graphs
In this circle graphs worksheet, students answer multiple choice questions about how to make circle graphs. Students answer 10 questions total.
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Degrees Of A Circle Exercises
For this math worksheet, middle schoolers examine the fractional parts in order to determine the degree equivalent within a circle. Then they do the same using drawn circles.
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Ara of Circles
Students identify the differentiate the different properties of circles and parallelograms. In this geometry instructional activity, students calculate the area of each solid and identify the formula. They relate Pi to the circumference...
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Crop Circles
Students calculate the area and circumference of a circle. In this geometry instructional activity, students solve word problems with circles and create formulas to calculate the area. They find the rate and complex area of a circle.
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Numerical Practice with Big Circles
In this numerical practice activity, students determine the measurement of given angles. Using trigonometry ratios, they find the measurement of ten angles on this one-page activity.
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Measuring Angles
In this measuring angles worksheet, students complete a set of 10 multiple choice questions, clicking on a link for answers or to print the page. Worksheet is labeled "pretest."
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Space Circles
Fifth graders calculate the diameters and radius of planets as a book is read to them. In this diameter and radius lesson plan, 5th graders read the book Space Circles and calculate the measurements based on the information in this book.
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The Center of a Circle
For this center of the circle worksheet, 10th graders solve 5 different center of the circle measurements. First, they draw a circle and add two points on it. From there, students construct a line segment and a midpoint on the line...
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Finding the Circumference and Area of a Circle
Sixth graders discover what circumference is. In this measurement lesson, 6th graders identify the radius and diameter of different circles. Students discover how to find the area of a circle using the radius and diameter.
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Graphs of Circles
In this graphs of circles activity, 10th graders solve 10 different problems that include the graphs of circles with various measurements. First, they write the equation of a circle whose diameter is a given number and whose center is at...
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Circles
In this circles instructional activity, 10th graders solve and complete 8 different problems. First, they find the two segments perpendicular to a given circle. Then, students find the line tangent to the circle illustrated and the sides...
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Circles
In this circles worksheet, 10th graders solve and complete 8 different types of problems. First, they find the measures of each segment given the center of a circle. Then, students find the length of a side of a triangle shown within a...
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Three Tangent Circles
In this tangent circles worksheet, students use pi to solve a problem involving tangent circles. This one-page worksheet contains 1 problem. The answer is provided at the bottom of the page.
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Leveled Problem Solving Circumference of a Circle
In this geometry instructional activity, 6th graders solve 6 word problems in which they find the circumference of items that are circles. They find the circumference of items such as a basketball hoop, a cereal bowl, and a circular frame.