University of Washington
Kepler’s Laws
Introduce your physics or astronomy class to Kepler's laws of planetary motion with this straightforward worksheet. It covers the basic concepts of each and has learners answer questions to demonstrate their grasp on them. You could use...
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Discovering Conic Sections in the Motion of Heavenly Bodies
Math scholars study conics and how they are used today. For this mathematical lesson, pupils construct and slice cones after viewing a demonstration.
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The Ellipse
This is a practical sheet with the instructions to draw a set of ellipses. After following the diagrams, there are ten questions to complete, with calculations expected for alternate orbits and comparisons related to actual planets in...
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Worksheet One - Definite Integral
For this definite integral worksheet, students use substitution to simplify integrals. They find the values of the upper and lower points and interpret points found on a graph. Students solve this two-page worksheet.
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Sir Cumference and the First Round Table
In this circumference worksheet, students solve and complete 5 different figures illustrated on the sheet. First, they cut out each shape found on the bottom. Then, students use the shapes on the left as clues to create the corresponding...
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Ellipses and Kepler's First Law
The class examines graphs in the form r = F(¿¿) in polar coordinates (r, ¿¿), in particular with the circle, ellipse and other conic sections. They determine the nature of an ellipse by studying the role of the semimajor axis and...
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7-4 Ellipse: Classwork #1
Skills practice is very important. Use this worksheet to reinforce graphing and to answer ellipse problems. There are six problems to solve.
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Ellipse
For this algebra worksheet, students sketch, solve, and write equations and graphs of ellipses using the foci and vertex. There are 24 questions.
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Ellipses (Part 1)
Students work with Ellipses in Algebra II. In this algebra lesson, students solve an equation with a radical expression. They graph ellipses and write an equation for them.
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Using the Distance Formula
In this distance formula learning exercise, students solve and complete 30 various types of problems. First, they find the exact distance between each pair of points and make a sketch of the situation. Then, students find the center,...
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Polygon People
Students identify polygons. In this polygon people instructional activity, students draw required shapes and construct a polygon person. They identify each shape and its characteristics. The instructional activity may be extended by...
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Equations of Ellipses
In this writing equations of ellipses worksheet, students solve and complete 26 various types of problems. First, they use the given information to write the standard form equation of each ellipse. Then, students determine the endpoint...
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Eccentricity of Conic Sections
In this conic sections worksheet, 11th graders solve and complete 26 various types of problems. First, they identify the eccentricity of each equation shown. Then, students use the information provided to write the standard form equation...
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Fly Me to the Moon!
For this Moon travel worksheet, students construct a simple rocket trajectory called the Hohmann Transfer orbit using a compass, string, paper and a pencil. Students solve 2 problems which include finding the number of hours it takes to...
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Drawing Ellipses Lab
In this ellipse worksheet, students learn the difference between an orbit and an ellipse. They draw ellipses and calculate the distance between foci, they calculate the length of the major axis and they determine the eccentricity. They...
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Circles and Ellipses
In this circles and ellipses worksheet, students solve and complete 12 different types of problems. First, they find the distance between the given pair of points. Then, students find the center and radius of each circle and sketch. They...
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Circles and Ellipses
In this circles and ellipses worksheet, students solve and complete 5 different types of problems. First, they write each equation in standard form. Then, students graph and label Write the equation of the ellipse whose center is the...
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Conic Sections
In this conic sections worksheet, students solve and complete 17 various types of problems. First, they write the conics in standard form and graph. Then, students determine the equation that best represents each description that...
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Eccentricity
In this eccentricity worksheet, students solve and complete 20 various types of problems that include the eccentricity of an ellipse and a hyperbola. First, they graph each ellipse and list the variable values, calculating the...
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Ellipses
In this ellipses worksheet, students solve and complete 30 various types of problems that include determining the characteristics of ellipses. First, they draw the graph for each ellipse, labeling the center, foci, vertices, and...
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As The World Curves
Pupils partisipate in a web scavenger hunt on an introductory lesson for conic sections. They become familiar with general forms of the equations, what they look like, and how they are used in the real-world.
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Conic Sections
In this Algebra II worksheet, 11th graders solve problems involving ellipses, parabolas, circles, and hyperbolas. The one page worksheet contains nineteen problems. Answers are included.
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Conic Sections and Locii
Students differentiate between ellipse and hyperbola. In this algebra lesson, students graph and solve elliptical equations. They use the cabri program to create the different conics and move them around.
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Graphs and Equations of Conic Sections Practice Test
In this conic section worksheet, learners complete a thirty-one question practice test containing matching and problem solving conic equation and conic graph problems. The solutions are provided.