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Interactive
CK-12 Foundation

Ellipses: The Ellipse

For Students 11th - Higher Ed Standards
Learners explore ellipses by changing the lengths and orientation of the major and minor axis. Using the interactive, they determine the equation of the ellipse and its eccentricity. Given an equation the scholars identify the center,...
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Worksheet
Curated OER

Earth Science Regents: The Ellipse

For Students 7th - 11th
Starting with the instructions to draw an ellipse, and with great pictures, this sheet should help your pupils learn the shapes and measurements involved. Using push pins and string, your class can discover the axis and focus points...
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Worksheet
Curated OER

Eccentricity

For Students 11th - Higher Ed
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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Lesson Plan
Curated OER

Ellipses and Kepler's First Law

For Teachers 11th - 12th
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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Worksheet
Curated OER

Eccentricity of Conic Sections

For Students 11th
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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Worksheet
Curated OER

Drawing Ellipses Lab

For Students 9th - 11th
For 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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Worksheet
Curated OER

Ellipse

For Students 9th - 12th
In 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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Worksheet
Curated OER

Ellipses

For Students 8th - 10th
In this ellipses worksheet, students calculate the eccentricity of 5 given ellipses and show their calculations. Students then determine the percent deviation for their calculations using the accepted values of eccentricity.
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Lesson Plan
Curated OER

Orbital Bliss

For Teachers 10th - 12th
Most young mathematicians are aware that the planets don’t orbit the sun in a circle but rather as an ellipse, but have never studied this interesting feature. This resource looks at the planetary orbits in more detail and helps learners...
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Lesson Plan
Curated OER

Ellipse

For Teachers 3rd - 5th
Students explore the concept of ellipses including finding the center, vertices's, foci and eccentricity. They assess how to graph elliptical functions and solve application problems involving ellipses. This assignment is to be completed...
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Lesson Plan
Curated OER

Ellipse

For Teachers 9th - 12th
Students find the center, vertices, foci, and eccentricity of ellipses using the subscriptions website www.explorelearning.com. They graph elliptical functions and solve application problems involving ellipses.
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Lesson Plan
Alabama Learning Exchange

Ellipse

For Teachers 9th - 12th Standards
Students explore the concept of ellipses. In this ellipses lesson, they construct ellipses on their paper and follow directions on a worksheet that allow them to investigate an ellipse in more depth by looking at the major axis, foci, etc.
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Lesson Plan
Curated OER

Exercise Set 8.2: Ellipses

For Teachers 9th - 12th
In this ellipses worksheet, young scholars solve 78 problems.  Students write ellipses equations in standard form.  Young scholars write equations given the center, a values, b values, and a horizontal or vertical access.
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Worksheet
Curated OER

Graphing and Properties of Ellipses

For Students 11th
In this algebra instructional activity, 11th graders identify the center, vertices, co-vertices, length of major and minor axis.  There are 20 questions with an answer key.
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Lesson Plan
Curated OER

Planetary Orbit

For Teachers 5th - 8th
Young scholars compare and contrast ellipses of various eccentricities that represent the shape of planetary orbits. They make a circle with the string by trying the two ends togther. Students calculate the eccentricity of their ellipses...
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Worksheet
Curated OER

Ellipses

For Students 7th - 12th
In this ellipses worksheet, students measure and calculate the eccentricity of each ellipse and then calculate the percent deviation. This worksheet has 10 problems to solve.
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Activity
It's About Time

Orbits and Effects

For Teachers 7th - 12th Standards
What does your world revolve around? Challenge the class as they learn about orbits and the effects of them on our modern world. Young astronomers begin by measuring ellipses and calculating the eccentricity of Earth's orbit. Then, they...
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Lesson Plan
Curated OER

Hyperbolas: Sketching from the Equation

For Teachers 9th - Higher Ed
In this algebra worksheet, learners sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.
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Worksheet
Curated OER

Review Quiz before Mini-Exam

For Students 9th - 12th
In this pre-calculus review worksheet, students solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded interest...
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Lesson Plan
Curated OER

Ellipses

For Teachers 10th - 11th
Learners analyze ellipse and solve equations. In this algebra lesson, students investigate information about ellipse and solve problems involving ellipse. They analyze and graph ellipse, and write an equation for the ellipse.  
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Lesson Plan
Curated OER

Ellipses

For Teachers 11th - 12th
Students analyze formulas for ellipses. They solve by completing the square. Students find the center of the ellipses. They listen as the teacher describes the eccentricity of an ellipse. Students work several problems independently.
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Assessment
University of Washington

Kepler’s Laws

For Students 9th - 12th
Introduce your physics or astronomy class to Kepler's laws of planetary motion with this straightforward instructional activity. It covers the basic concepts of each and has learners answer questions to demonstrate their grasp on them....
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Lesson Plan
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NASA

Rendezvous For Two

For Teachers 10th - 12th Standards
Imagine the challenge of getting the space shuttle to rendezvous with the International Space Station. Groups must determine the elliptical transfer orbit needed to get the space shuttle from its orbit to the orbit of the International...
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Lesson Plan
Curated OER

Ellipses And Kepler's First Law

For Teachers 9th - 12th
Students explain that planets actually orbit the center of gravity of the solar system, and that distant planets may be detected by motions of their central star around the centers of gravity of their planetary systems.