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Lesson Plan
Curated OER

Ellipses

For Teachers 9th - 12th
High schoolers investigate the concept of ellipses and how they are used in a variety of geometry problems with a focus upon writing an equation given certain criteria. They draw an ellipse while developing the equation examining the x...
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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
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 plan in a unit of 23. Scholars analyze basic hyperbolas...
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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
EngageNY

Examples of Dilations

For Teachers 8th Standards
Does it matter how many points to dilate? The resource presents problems of dilating curved figures. Class members find out that not only do they need to dilate several points but the points need to be distributed about the entire curve...
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Lesson Plan
Curated OER

Conic Sections and Locii

For Teachers 9th - 11th
Pupils 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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Worksheet
Curated OER

Conics and Graphing

For Students 11th - 12th
In this algebra learning exercise, students solve equations by graphing an ellipse, circle and hyperbola. They match equations to graphs and define each type of function. There are 20 questions total.
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Lesson Plan
Curated OER

Planetary Orbit

For Teachers 5th - 8th
Students 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 by...
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Worksheet
Curated OER

Conic Sections

For Students 11th - 12th
In this conic sections worksheet, students solve and complete 8 different problems identifying various types of conic sections. First, they write each equation given in standard form. Then, students determine whether the graph of each of...
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Worksheet
Curated OER

Sir Cumference and the First Round Table

For Students 5th - 6th
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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Worksheet
Curated OER

Graphs and Equations of Conic Sections Practice Test

For Students 10th - 12th
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.
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Worksheet
Curated OER

Conic Sections

For Students 11th
In this Algebra II instructional activity, 11th graders solve problems involving ellipses, parabolas, circles, and hyperbolas.  The one page instructional activity contains nineteen problems.  Answers are included. 
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Lesson Plan
EngageNY

What Is Area?

For Teachers 9th - 10th Standards
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and upper...
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Lesson Plan
Curated OER

Graphing Conics

For Teachers 12th - Higher Ed
Learners explore conics using four different graphs. For this calculus lesson, students analyze parabola, hyperbolas, circles and ellipses. They find the directrix and discuss how they relate to each type of graph.
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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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Lesson Plan
Curated OER

Polygon People

For Teachers 6th - 8th
Middle schoolers identify polygons.  In this polygon people lesson plan, students draw required shapes and construct a polygon person.  They identify each shape and its characteristics.  The lesson plan may be extended by allowing middle...
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Lesson Plan
Curated OER

Ellipses And Kepler's First Law

For Teachers 9th - 12th
High schoolers 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.
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Worksheet
Curated OER

Fly Me to the Moon!

For Students 11th - Higher Ed
In 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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Worksheet
Curated OER

Conic Sections

For Students 11th - 12th
In this conic sections learning exercise, 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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Worksheet
Curated OER

Algebra 2 Test

For Students 10th - 11th
In this algebra instructional activity, students solve problems involving functions, systems and conics. They simplify radicals and graph parabolas identifying the focus and ellipse. There are 20 questions.
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Lesson Plan
Willow Tree

Common Geometric Figures

For Students 8th - 11th Standards
Geometry could be called the study of figures. An overview of the figures found in a typical geometry course contains a study of different triangles, quadrilaterals, and regular polygons. 
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Interactive
Khan Academy

Challenge: Simple Shapes!

For Students 6th - Higher Ed
Now practice drawing a rectangle, ellipse, circle, and line by writing your own JavaScript code. Don't know where to start? No problem, you will be guided through creating every line of code. Getting an error message? Again, no problem,...
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Interactive
CK-12 Foundation

Orbital Motion

For Students 6th - 12th Standards
Why do planets orbit the sun in ellipses when moons orbit their planet in circles? Pupils control the semi-major axis, eccentricity of the orbit, and position angle. The resulting orbital appears with the related force vectors as...
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Worksheet
Curated OER

Maximum and Minimum Problems

For Students 11th - Higher Ed
In this maximum and minimum problems instructional activity, students solve and complete 9 various types of problems. First, they find two numbers with a given sum. Then, students find the maximum and minimum value of each equation. They...

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