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Penn Museum

Penn Museum: China Gallery

For Students 6th - 12th Standards
Invite your learners to take a closer look at the art and mathematical function of dome buildings as designed by the ancient Romans. In the next segment of this attractive activity set, your young historians will then learn about ancient...
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Parts of the Circle

For Students 5th - 6th
In this circles worksheet, students complete multiple choice questions, determining whether diameter, radius, chord or center is shown on a circle. A reference web site is given for additional activities.
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The Real Deal On Circles

For Teachers 5th
Fifth graders investigate circles and area. In this geometry lesson, 5th graders find the area, diameter and circumference of a circle. They estimate the data and then calculate it.
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Discovering Pi

For Students 5th - 10th
In this math worksheet, students find the radius, diameter, and circumference of circles when pi is given. Examples are given in this well-designed worksheet.
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Finding PI

For Teachers 9th - 12th
Students select and use appropriate operations, methods and tools to compute or estimate using whole numbers. They develop and use formulas for determining the circumference and area of circles. Students determine and describe the...
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Arcs and Chords

For Students 10th
In this arcs and chords worksheet, 10th graders solve 7 different types of problems related to identifying arcs and chords in a circle. First, they find the measure of each arc to the nearest tenth, if O is the center point. Then,...
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Circumference and Area

For Students 6th - 8th
In this geometry worksheet, students answer 10 questions regarding, circumference, area, time, calculating the radius if given a diameter, and polygon recognition.
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Discovering Pi

For Teachers 6th
Sixth graders discover Pi.  For this discovering Pi lesson, 6th graders measure the diameter and circumference of various circular objects.  Students record their measurements in a table.  Students discuss how Pi relates...
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Expressions and Operations

For Students 7th - 8th
In this expressions and operations instructional activity, students solve and complete 5 different problems that include identifying expressions and using the order of operations. First, they determine the value of a given expression and...
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Perimeter and Circumference

For Students 7th - 8th
For this perimeter and circumference worksheet, students observe diagrams and determine their perimeter or circumference. Diagrams include triangles, circles, parallelograms, rectangles, and composite figures. This one-page worksheet...
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Count the Monkeys

For Students 3rd
In this counting monkeys learning exercise, 3rd graders identify and complete 3 different problems that include counting monkeys in a circle diagram. First, they cut out the small circle and place it in the center of the larger circle....
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Volume and Surface Area

For Students 10th - Higher Ed
In this volume and surface area worksheet, students find the volume in each of the ten problems listed and write their measurements in terms of the larger amount. They find the volume of a sphere, a rectangular solid, and a cylinder....
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Geometric Probablitiy: Spinners and Dartboards

For Teachers 8th - 10th
Slearners explore and analyze the properties of geometric areas.  In this geometry lesson, sstudents use technology to simulate spinners and dartboards in order to fing areas of circles and sectors of circles and compare and...
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Modeling Atoms

For Teachers 9th - 12th
Students create an atomic model using a computer program. In this technology lesson, students identify the difference between radius and diameter. They create circular patterns and spheres based on certain specifications.
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Radius, Diameter and Circumference of Circles

For Students 4th - 6th
In this circles learning exercise, learners calculate either the radius, diameter and circumference of a set of 4 circles, one measurement is given for each circle, students calculate the remaining 2. 
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Unit Circle Triangle

For Teachers 11th - 12th
Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
Lesson Plan
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Geometry: Area, Scale Factor, Circumference

For Teachers 5th - 8th
In this geometry worksheet, students solve 10 problems regarding area, scale factors, and circumference. Students, in 3 of the problems, are given the circumference and asked to work backwards to find missing information.
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Algebra Review For Grade 6

For Students 6th - 7th
Use this algebra instructional activity as a review for your charges. Learners answer 10 multiple choice questions about sixth grade math, not interactively, with answers available online.
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Circumference and Area of a Circle

For Teachers 10th - 11th
Students investigate the area and circumference of a circle. In this geometry lesson, students estimate and measure the radius, diameter and circumference of a circle. This assignment has an online part that is interactive.
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Circle Packing

For Teachers 9th - 10th
Students identify different parts and properties of circles. In this geometry lesson, students identify the radius, diameter, semicircle and inscribed angle of a circle. They identify the tangent lines to a circle.
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Geometry and Triangles

For Students 11th - Higher Ed
For this geometry triangles worksheet, students first determine how many degrees are found in one half and in three-fifths a revolution. Then they find the supplement of the two angles given and the radius of a circle. Students also...
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Surface Area of Cylinder Worksheet

For Students 6th - 8th
In this surface area worksheet, students are given either the diameter or radius and the height of 8 cylinders. They calculate the surface area.
Lesson Plan
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Circles and Clocks, Shapes and Time

For Teachers 4th - 6th
Students work in groups to research clocks and practice telling time. In this telling time instructional activity, students use the computer program ProQuest to study circles, including radius and diameter, and practice drawing circles...
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Chapter 7 Final Review Extra Problems

For Students 9th - 11th
In this Geometry review worksheet, learners describe the relationships of two common triangles. They find the area of a segment created by a given sector of a circle for two circles. Students find the length of an arc bounded by the...

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