The planets orbiting the sun follow elliptical paths. In fact, the trajectory of a spacecraft traveling to Mars would also be elliptical. Students explore these various ellipses.

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The path of a rocket orbiting the Earth can be modeled with the equation of a circle. Students explore the quadratic relation and the parametric equations that can be used to model the path of a spacecraft orbiting Earth.

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The liftoff and pre-orbital path of the rock is described by a parabola. Students explore the properties of parabolas from the standpoint of the parametric equations that describe the horizontal and vertical directions of motion for the rocket.

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Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars. As the ship travels from Earth to Mars, parabolic, circular, and elliptical paths are explored. In the process students will learn the difference between a quadratic relation and a quadratic function.

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In this episode of Algebra Applications, students explore the following scenario: Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars. As the ship travels from Earth to Mars, parabolic, circular, and elliptical paths are explored. In the process students will learn the difference between a quadratic relation and a quadratic function.

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This quiz covers the topic of conic sections.

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This quiz covers the topic of conic sections.

Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see the complete Quiz Library, click on this link: https://media4math.com/math-quizzes

This quiz covers the topic of conic sections.

Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see the complete Quiz Library, click on this link: https://media4math.com/math-quizzes

This Teacher's Guide provides an overview of the 49 worked-out examples that show how to graph Conic Sections. Note: The download is a PDF.

This is the transcript for the video of same title. Video contents: Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars. As the ship travels from Earth to Mars, parabolic, circular, and elliptical paths are explored. In the process students will learn the difference between a quadratic relation and a quadratic function.

To view the full video: https://www.media4math.com/library/algebra-applications-functions-and-relations-segment-1-introduction

This is the transcript for the video of same title. Video contents: The planets orbiting the sun follow elliptical paths. In fact, the trajectory of a spacecraft traveling to Mars would also be elliptical. Students explore these various ellipses.

To view the full video: https://www.media4math.com/library/algebra-applications-functions-and-relations-segment-4-elliptical-paths

A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-space-travel-3

This is the transcript for the video of same title. Video contents: The liftoff and pre-orbital path of the rock is described by a parabola. Students explore the properties of parabolas from the standpoint of the parametric equations that describe the horizontal and vertical directions of motion for the rocket.

To view the full video: https://www.media4math.com/library/algebra-applications-functions-and-relations-segment-2-parabolic-paths

A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-space-travel-1

This is the transcript for the video of same title. Video contents: In this episode of Algebra Applications, students explore the following scenario: Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars. As the ship travels from Earth to Mars, parabolic, circular, and elliptical paths are explored. In the process students will learn the difference between a quadratic relation and a quadratic function.

To view the full video: https://www.media4math.com/library/algebra-applications-functions-and-relations

This video includes a Teacher's Guide: https://www.media4math.com/library/algebra-applications-teachers-guide-functions-and-relations

Conic Sections Example 6: Graphing a circle centered in quadrant 3.

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Conic Sections Example 22: Graphing an ellipse centered at the origin, a > b.

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Conic Sections Example 38: Graphing a hyperbola centered on the x-axis, horizontal major axis.

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Conic Sections Example 7: Graphing a circle centered in quadrant 4.

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Conic Sections Example 23: Graphing an ellipse centered at the origin, b > a.

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Conic Sections Example 39: Graphing a hyperbola centered on the x-axis, vertical major axis.

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Conic Sections Example 8: Graphing a horizontally aligned parabola with vertex at the origin.

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Conic Sections Example 24: Graphing an ellipse centered on the x-axis, a > b.

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Conic Sections Example 40: Graphing a hyperbola centered on the y-axis, horizontal major axis.

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Conic Sections Example 9: Graphing a horizontally aligned parabola with vertex on the x-axis.

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Conic Sections Example 25: Graphing an ellipse centered on the x-axis, b > a.

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Conic Sections Example 41: Graphing a hyperbola centered on the y-axis, vertical major axis.

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