Ellipse Teacher Resources
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In this video, the equation and graph of an ellipse is explored by first centering the ellipse at the origin, and then shifting it and showing how that change is reflected in the equation. The terms minor axes, major axes, semi-minor axes, semi-major axes are defined; as well as, showing how a circle is just a special case of the ellipse.
The foci of an ellipse are explored in this video. First, foci are shown as the two points on the major axis such that the sum of the distance from a point on the ellipse and the foci points is the same as the distance from any point on the ellipse, and that distance is 2a, where a is the length of the major axis. Next, the distance from the center to the foci along the major axis (a) is shown to be the square root of a2-b2. And finally, an example is shown where one needs to graph and find the coordinates of the foci given an equation of an ellipse.
In this video, the equation and graph of an ellipse is explored by first centering the ellipse at the origin, and then shifting it and showing how that change is reflected in the equation. The terms minor axes, major axes, semi-minor axes, semi-major axes are defined; as well as, showing how a circle is just a special case of the ellipse.
Students identify the relationship shared among conics. In this algebra lesson, students write the equation of a given ellipse and graph the equation. They define the different parts of the ellipse correctly.
The foci of an ellipse are explored in this video. First, foci are shown as the two points on the major axis such that the sum of the distance from a point on the ellipse and the foci points is the same as the distance from any point on the ellipse, and that distance is 2a, where a is the length of the major axis. Next, the distance from the center to the foci along the major axis (a) is shown to be the square root of a2-b2. And finally, an example is shown where one needs to graph and find the coordinates of the foci given an equation of an ellipse.
Investigate the equation of an ellipse. For this equation of an ellipse equation lesson, students construct an ellipse by dragging a point around two foci. They derive the equation of an ellipse by finding the distance between the foci.
This video answers the question, �What is an ellipse?� It gives a definition of an ellipse, shows the ellipses relation of a plane to a cone, and the names of different parts of the ellipse.
Young scholars work with Ellipses in Algebra II. In this algebra lesson plan, students solve an equation with a radical expression. They graph ellipses and write an equation for them.
Eleventh graders investigate ellipses. In this Algebra II activity, 11th graders explore an ellipse from a geometric perspective. Students derive the equation of an ellipse with the center at the origin.
Students explore the concept of ellipses. In this ellipses instructional activity, 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.
Students explore the concept of ellipses. In this ellipses lesson, students construct ellipses on their Ti-Nspire. Students plot two foci and then construct an ellipse. Students determine the the semi-major and semi-minor axis of ellipses and also determine the equation of an 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 our solar system. A challenge is given at the end to construct a properly scaled model of Halley's Comet orbit along with the method explanations.
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 answer questions about the eccentricity of the planets.
Leading the students to draw a representation of ellipses of planets, this handout will help understanding the planet movement around the sun. There are ten questions about the analysis of those orbits and a conclusino specifically about the Earth.
High schoolers identify and graph ellipses. After a teacher led discussion on shapes created when intersected by a plane and the use of conic sections, students create a graphic organizer containing the information. A United Streaming video is shown to explore conic sections. Using a string and oak tag, students participate in activities to create an ellipse. They discuss properties and formulas for the created ellipses.
In this ellipses and hyperbolas worksheet, high schoolers solve 8 short answer and graphing problems. Students graph ellipses, hyperbolas, and parabolas given an equation. High schoolers identify the foci of an ellipse or hyperbola.
In this video, Sal defines the vertex and the foci of a hyperbola, and shows how to locate both. By comparing the hyperbola to an ellipse throughout the video, the listener sees the similarities between these two conic sections. This approach makes the concepts more easily understood.
After watching this video, you should be able to write an equation of a conic section in standard form, and identify the conic section from its equation. In an example problem, Sal reviews how to complete the square and graph an ellipse that is not centered at the origin.
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 in the computer lab.
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.