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Worksheet
Curated OER

The Ellipse

For Students 9th - Higher Ed
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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Interactive
CK-12 Foundation

Ellipses Centered at the Origin: Lithotripsy

For Students 11th - Higher Ed Standards
Investigate ellipses through the lens of medical applications. Pupils use a medical scenario to determine the equation of an ellipse. By using the interactive, learners determine the foci and major and minor axes of the ellipse that...
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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

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

Ellipses

For Teachers 11th - 12th
Students define ellipses and their properties. In this calculus lesson, students analyze ellipses for their shape, center, major and minor axes. They create a paper ellipse to have a visual of what an ellipse really looks like in 3D.
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Worksheet
Curated OER

Application of Ellipses

For Students 11th
In this algebra worksheet, 11th graders apply ellipses to real life scenarios such as football, satellite and planet orbits. They discuss a variety of way sto apply ellipses.
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Worksheet
Curated OER

Parabola Reflection Property

For Students 10th - 11th
In this algebra worksheet, students analyze proofs for parabola and questions about each step of a parabola. They also review elliptical properties. There is an answer key with these 2 problems.
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Lesson Plan
Curated OER

Graphs And Ellipses

For Teachers 9th - 12th
Young scholars become acquainted with linear graphs, the parabola and the rectangular hyperbola. Also prepare tables of paired values as preparation for plotting a line. They study the cartesian equation of an ellipse, with a worked...
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Worksheet
Curated OER

Ellipses

For Students 7th - 12th
In this ellipses learning exercise, students measure and calculate the eccentricity of each ellipse and then calculate the percent deviation. This learning exercise has 10 problems to solve.
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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
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

Conic Sections and Locii

For Teachers 9th - 11th
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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Lesson Plan
Curated OER

Graphs and Ellipses

For Teachers 9th - 12th
Students explore linear graphs, the parabola and the rectangular hyperbola.
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App
Bytes Arithmetic

Geometry Pad+

For Students 6th - 10th Standards
Graphing paper, pencil, ruler, protractor, and compass, all get replaced or supplemented with this dynamic geometry application. Here, you can create, move, and scale many different shapes, as well as, explore and change their properties...
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Lesson Plan
EngageNY

Curves from Geometry

For Teachers 11th - 12th Standards
Escape to investigate hyperbolas. Pupils take a look at what happens to the elliptical orbital path of a satellite that exceeds escape velocity as the opener to the eighth lesson in a unit of 23. Scholars analyze basic hyperbolas and how...
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Lesson Plan
Curated OER

Confocal Conics

For Teachers 11th - 12th
Young scholars describe conic sections from an equation or graph. They examine a family of conics that share a vertex, describe their relationship and write an equation. Students interpret the relationship between conic sections and...
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Worksheet
Curated OER

Conic Sections Applications and Properties

For Students 11th
In this algebra activity, 11th graders graph parabolas and figure out the major axis and minor axis of the graph. They also find the focus. There are 4 problems on this activity.
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eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
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eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
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eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
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Lesson Plan
Curated OER

Planet Paths: Studying Planetary Orbital Paths

For Teachers 6th - 8th
Students define and identify planetary orbit, ellipse, parabola, and hyperbola, and simulate Kepler's Second Law. They explore interactive websites demonstrating orbital motion and complete modeling activities.
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Lesson Plan
Curated OER

Conics in Geometry

For Teachers 9th - 12th Standards
High schoolers analyze characteristics and properties of two and three-dimensional shapes in this geometry activity. They follow detailed directions to use the Cabri Geometry II Application on their TI-89 calculator to construct a...
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Lesson Plan
Curated OER

Introduction to Conic Sections

For Teachers 9th - 12th Standards
Learners slice cones and identify the different conics formed. They then derive the formula to solve problems involving cones. Pull out the TI calculators to visualize the slicing and the different parts and properties created.
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Worksheet
Curated OER

Properties of Earth: Word Search

For Students 4th - 8th
In this word search worksheet, students search for words related to the Earth, the sun and it's movements. Terms include seasons, features, and movements.