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Ellipses
Students investigate the concept of ellipses and how they are used in a variety of geometry problems with a focus upon writing an equation given certain criteria. They draw an ellipse while developing the equation examining the x and y...
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Lesson #151 Circles, Parabolas, and Lines
Students write equations for parabolas, circles and lines. In groups, they use computer software to play a game with circles, lines and parabolas. Students play games on the computer to find the equations for the given shape.
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Pi as a Ratio
Eighth graders measure the circumference and the diameter of circular objects and record the measured values of the circumference and the diameter in a table. They then record their measurements in centimeters and use their data to...
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Determining the Uniqueness of a Circle
Young scholars use this lesson to determine how circles are different from other shapes. In groups, they determine the accuracy of three theorems based on the uniqueness of circles. They use a software program to hypothesize about the...
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Spaghetti Measure
Middle schoolers receive a copy of a "Spaghetti Measure" task sheet along with the scoring rubric. Students preview the task and the rubric prior to starting the task. tudeThey determine the circumference of a circle of spaghetti that...
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Looking into Eratosthenes' Radius of the Earth
Pupils, in small groups, research Eratosthenes and his calculations of the Earth's radius. They write a summary of the person, the experiments and his calculations to determine how accurate Eratosthenes was in his estimations of the size...
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Around and Around
Students create a spreadsheet to record information about circular objects. They measure and record information from a variety of objects. Students calculate the ratio of the circumference to the diameter of each object. They find the...
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Sports Bag
Students determine an efficient layout of the pattern pieces needed to make a sports bag with given dimensions and specifications. Given a word problem, data set and a diagram, students evaluate the information they have available and...
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Using Circumference
Students participate in a lesson that covers the concept of finding the circumference of a circle. The teacher covers relevant vocabulary with the students. They work in groups to measure objects and calculate the formula to find the...
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The Circumference and Diameter of a Circle
Ninth graders investigate the finding of the diameter of a circle in order to extend the practice towards finding the circumference. They differentiate between the distance measured across a circle from that of around the perimeter.
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Discovering Pi
Fourth graders are introduced and experiment with the concept of pi. Using this information, they discover the relationship between the circumference and diameter of circles. In groups, they practice measuring the circumference of...
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Math: The Bone connection
Young scholars examine the connection between bones of the human body and math. In groups, they locate bones and determine which instruments are used for measuring. Students organize their findings and create spreadsheets for calculating...
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Moving On: Octagoning the Circle
Learners explore circles through the use of octagons. They inscribe a circle in a regular octagon and find the area and perimeter of the hexagon with respect to the radius of the circle. Students present their findings to the class.
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Ship Shape
Second graders explore shapes and create a Silly Shape book. Students recognize that shapes have certain properties and be able to define them. Example, a triangle is any three-sided shape. Students' job is to make a picture on...
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Square Pegs in Round Holes
Sixth graders problem solve the square peg in the round whole problem by applying knowledge of the formulas for the areas of the circle and the square. They decide on a problem solving strategy based on logical reasoning.
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Around We Go
Fourth graders investigate a range of circles, each with a different radius, diameter and circumference and assemble this information in their search for relationships.The measurement of circles and the relationships to be found within...
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"Slice of Pi with Neo-Excel"
Students explore diameter, radius, and circumference. They define radius, diameter, and circumference on an online dictionary, identify objects in the room with a radius and a diameter, and calculate the radius and diameter of various...
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From Caterpiller to Butterfly: Cycles, Circles, and Patterns
Students examine art of butterflies and discuss what they know about the insect. They create their own butterfly puppets and write a story to represent its life cycle.
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Pattern Puzzlers
Learners identify triangles, circles, and squares, then show their understanding of patterns by continuing a pattern that contains three different elements. They utilize worksheets imbedded in this plan to practice using these shapes.
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The Librarian Who Measured the Circumference of the Earth
Sixth graders explore angles, triangles, and investigate the circumference of the earth. They participate in a Webquest, access data bases, and communicate with other students through an on-line project site involving the circumference...
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Area graphics for 7th graders
Students randomly select dimensions for three geometric shapes (square, right triangle and circle). From the graphs they compare and contrast the graphical results of each shape.
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Observing Mars in the Night Sky
High schoolers compare and contrast the orbits of Earth and Mars, locate the planet Mars, and diagram its retrograde motion.
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"Use an Anemometer," said the Meteorologist
Students participate in an hands-on construction of an instrument to measure wind speed.
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Wheeling Around
Eighth graders explore the characteristics of a circle and the formulas to find circumference. They use a bicycle wheel to determine the circumference around a wheel. They utilize a worksheet imbedded in this plan which has a variety of...