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Spaghetti Measure
Young scholars 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 will...
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Real Numbers: Care Homework #8
In this real numbers worksheet, students perform the given operation with decimals, whole numbers, and fractions. They find the area and perimeter of circles. Students determine the volume of cylinders. This three-page worksheet contains...
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Geometry in Nature
Young scholars examine how the circumference, diameter, and the relationship of Pi of a circle are related. They count the summer rings of a tree to determine its growth.
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Don't Burst My Bubble
Middle schoolers practice using measuring techniques by examining bubbles. In this geometry lesson, students utilize mathematic formulas to discover the circumference and diameter of soap bubbles they blow. Middle schoolers...
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Geometric Figures
In this geometric figures worksheet, 7th graders solve and complete 10 different problems that include measurement. First, they draw a reflection of a given shape over a line. Then, students draw a rotation of a different shape. They...
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Radius, Diameter and Area
Young scholars identify the radius and diameter of a circle. In this geometry lesson, students calculate the volume and area of a cylinder and circle. They relate the circumference of a circle to Pi.
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Concurrence
In this concurrence learning exercise, 10th graders solve 10 different problems related to determining various concurrences. First, they determine which type of triangle has two altitudes outside of it. Then, students determine the...
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Sample Algebra 1 Contest
In this algebra worksheet, learners write algebraic equations to determine the circumference of a circle, identify integers that satisfy a given situation, find the sum of the squares of two numbers, and complete simple equations. This...
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Worksheet for Pi
Who needs a pie-eating contest when you have a pi-ology game! Celebrate March 14th with a fun board game about pi and other geometric concepts. As learners answer questions about geometry, they move around the board to collect...
New York City Department of Education
Designing Euclid’s Playground
Create a geometric playground. Pupils work through a performance task to demonstrate their ability to use geometric concepts to solve everyday problems. The accompanying engineering design lessons show teachers how the assessment works...
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Intro to Circles
Seventh graders participate in an investigation into the concept of a circle. Finding the definition of a circle and how they are used in the real world is discussed. Then students write their own real world examples of circles.
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The Derivation of (Pi)
Seventh graders groups measure the diameter and circumference of each of the circular objects in the room. They record their results on their student worksheets and access a computer spreadsheet program to compile their results.
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Understanding Pi.
Students study the relationship between circumference and diameter to come up with Pi. "In this pi lesson, students measure, record and find the ratio "circumference/diameter" and their average which is an approximation of pi.
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Chapter 6: Geometry Perimeter and Area
In this perimeter and area worksheet, students find the perimeter of various polygons. They compute the perimeter, surface area, circumference, and volume of given figures. Students explore trigonometric ratios. This...
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Arc Length - Horse
Students define an arc and calculate its length. In this geometry lesson, students find examples of arc in the real world. They show their understanding of arcs through problem solving.
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Solving Problems
In this solving problems worksheet, students determine the area of a rectangle inscribed in a circle. They estimate distance between given planets. This two-page worksheet contains 2 multi-step problems.
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Pi
Sixth graders read the book "Sir Cumference and Knights of the Round Table" to introduce them to the concept of Pi. As a class, they discover where Pi originated and define the terms circumference, radius and diameter. To end the...
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Introducing Trigonometry
Eleventh graders explore the three basic trigonometric functions. In this trigonometry/Algebra II lesson, 11th graders use GeoGebra and the unit circle to define the ratios of sides is a right triangles as they examine the full domain...
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Mathematical Modeling, Circular Movement and Transmission Ratios
Students perform an experiment with different sizes of followers (from an easy to follow set of teacher directions) and record their observations. They test the rotations of the driver compared to the rotations of a follower and put the...
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Unit Circle Triangle
Students find the different ratios of a right triangle. For 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,...
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Volumes of Solids of Revolution (Shell Method)
Students find the volume of solids and disks. In this finding the volume of solids and disks lesson, students find the volume using the washer, disk, and shell method. Students integrate functions in terms of x and y. ...
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Tree Measurement
Measure a tree? Yes, measure a tree! Students get outside and measure a tree's trunk, crown, and height. Each group compares their answers to determine if any re-measuring is necessary. Once back in the classroom, students make bar...
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Pumpkin Predictions
In this mathematical worksheet, students estimate and predict the height, stem length, diameter, circumference and weight of five pumpkins against their actual measurements.
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Worksheet 8: Absolute Percentage Error
In this absolute percentage error worksheet, students estimate the maximum absolute error in computing the volume and area of a cube or a sphere. They use differentials to estimate the value of roots. This one-page worksheet contains...