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Worksheet 22 - Spring 1996

For Students 11th - Higher Ed
students examine the potential of creating the involute for a circle. They use the concept to create new parametric equations. They graph the picture for each.
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Centripetal Force

For Teachers 9th - 12th
Students experiment to show the components that dictate centripetal force in an object. They observe how the object moves in a circular path around a central point.
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Arcs and Chords Homework

For Students 9th - 12th
In this geometry worksheet, high schoolers examine a circle with chords and apply formulas to solve for the missing segments or arc. There are 9 questions.
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Worksheet 30

For Students 11th - Higher Ed
In this math worksheet, students imagine a situation where a weight is attached to a string and it is swung in a circle. Then they use vectors and derivatives to describe the motion.
Interactive
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Have You Got the Angle?: Pre Test

For Students 4th - 8th
In this angles worksheet, students complete multiple choice questions about the shape and number of angles. Students complete 10 questions total.
Lesson Plan
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Exploring Trigonometric Functions

For Teachers 9th - 12th
Students are introduced to the characteristics of trigonometric functions. In groups, they analyze graphs of sine and cosine to determine the lengths of a triangle. They compare and contrast the graphical and numerical characteristics...
Lesson Plan
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Cruising the Internet

For Teachers 7th - 10th
Students identify the parts of an engine using a graph. In this statistics lesson, students make a graph from their collected data. They calculate the volume of a cylinder using a line of regression and a scatter plot.
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Details from an Exploding Star

For Students 8th - 10th
In this nebula activity, students read about the Crab Nebula and calculate the average speed of the expanding gas. They determine the size of the smallest clumps of gas and they draw the diameter of the solar system to scale.
Lesson Plan
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Kepler's 3rd Law

For Teachers 9th - 12th
Students derive the velocity in a circular orbit of any radius. They derive the Earth escape velocity and prove Kepler's 3rd law for circular orbits # A simple formula for the orbital period in a circular Earth orbit of given radius.
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Understanding and Computing Riemann Sums

For Students Higher Ed
In this Riemann sum learning exercise, students use the Riemann sum to determine the volume of a square pyramid and the estimates of area around a circle. This four-page learning exercise contains 18 problems.
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Angle and Radian Measure

For Students 9th - 10th
In this angle and radian measure activity, students find the measurement of a central angle. Students determine the speed of rotation, linear speed of a point, and radians per second. This two-page activity contains twelve problems. ...
Lesson Plan
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Pape's Theorems

For Teachers 11th - Higher Ed
In this math worksheet, students find the length of the side of a regular hexagon whose area is numerically equal to its perimeter.
Lesson Plan
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Noun/Adjective/Subject/Verb Agreement

For Teachers 5th - 8th
Students create a wheel from construction paper to use to create sentences. The wheel consists of four concentric circles, beginning with the largest being 8 inches in diameter. Each circle represents one part of a sentence. Students...
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Complex Analysis: The Complex Derivative

For Students Higher Ed
In this complex derivative learning exercise, students determine the circle of a radius under the mapping principle. They identify analytic functions, and explore the relationship between real and imaginary parts of complex functions. ...
Interactive
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Twenty-Eight Multiple Choice No Calculator Allowed AP Calculus BC Practice Exam

For Students 12th - Higher Ed
In this AP Calculus BC practice exam, students solve twenty-eight multiple choice problems without the use of a calculator.  This worksheet should be completed in fifty-five minutes.
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AP Calculus Practice Exam

For Students 11th - 12th
In this Calculus worksheet, students are provided with problems of a similar nature to those on their exam.  Problems include limits, derivatives, and integrals.  The four page worksheet contains twenty-eight problems. ...
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Functions

For Students 10th
In this functions worksheet, 10th graders solve and complete 6 different types of problems. First, they find the largest value of a given function. Then, students determine the values of the constants a, b, c, dso that the curve is a...
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SAT Grid Practice Test 11

For Students 9th - 11th
In this SAT practice test, students compute the area and perimeter of polygons.  They determine the volume of a cylinder and solve problems with exponents.  This one-page activity contains 10 problems.  Answers are provided.
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Typical Numeric Questions for Physics I - Work and Energy

For Students 9th - Higher Ed
A total of 29 word problems furnish practice in solving for work, energy, and force. A few of the questions display diagrams to help learners visualize the systems, and all of them list five choices from which they select the correct...
Lesson Plan
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Pocket Solar System

For Teachers 3rd - 8th Standards
The scale of the solar system is difficult to grasp without some sort of concrete visual; with some register tape and different-sized stickers, teach astronomers of any age just how spread out our solar system really is. Try to use...
Lesson Plan
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Around We Go

For Teachers 4th
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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AP Calculus Practice Exam: BC Version - Part A

For Students 11th - 12th
In this calculus activity, learners solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
Lesson Plan
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Geometry, Pi, and Ancient Civilizations

For Teachers 8th - 9th
By working together, pairs of students will complete a Pi webquest. Using the internet, they examine the ways people in the Ancient Civilizations of Egypt, Babylonia and Greece used Pi. To end the lesson plan, they review the concepts of...
Lesson Plan
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Building Bridges

For Teachers 7th - 9th
Learners identify the different types of bridges. Using the internet, they research information on how they are built by completing a scavenger hunt. Locating a specific area, they determine which type of bridge would be appropriate and...