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Proof: Hyperbola Foci, Conic Sections, Algebra II Instructional VideoProof: Hyperbola Foci, Conic Sections, Algebra II Instructional Video
Publisher
Khan Academy
Resource Details
Curator Rating
Educator Rating
Not yet Rated
Grade
10th - 12th
Subjects
Math
2 more...
Resource Type
Instructional Videos
Media Length
14:50
Audiences
For Teacher Use
1 more...
Duration
15 mins
Instructional Strategies
Flipped Classroom
1 more...
Accessibility
Closed Captions
1 more...
Year
2009
Usage Permissions
Creative Commons
BY-NC-SA: 3.0
cc
Instructional Video

Proof: Hyperbola Foci, Conic Sections, Algebra II

Curated and Reviewed by Lesson Planet

In a video that is quite involved, algebraically, Sal proves that the distance of the foci from the center of a hyperbola is the square root of a2+b2. Since the algebra shown here is challenging, this video might be appropriate as an enrichment activity for advanced learners or an advanced class.

4 Views 1 Download

Concepts

conic sections

Additional Tags

conic sections, graphing hyperbola, foci hyperbola, math

Classroom Considerations

  • This video is hosted on YouTube

See similar resources:

Instructional Video

Identifying a Hyperbola from an Equation, Conic Sections, Algebra II

Khan Academy
In this video, Sal shows again how to write an equation of a conic section in standard form and identify the conic section it represents. This time, his example is of a hyperbola (not centered at the origin), which he also graphs.
11 mins 10th - 12th Math
Instructional Video

Identifying a Hyperbola From an Equation, Conic Sections, Algebra II

Khan Academy
In this video, Sal shows again how to write an equation of a conic section in standard form and identify the conic section it represents. This time, his example is of a hyperbola (not centered at the origin), which he also graphs.
11 mins 10th - 12th Math
Instructional Video

Identifying Circles and Parabolas from Equations, Conic Sections, Algebra II

Khan Academy
This is the last of three well-done videos on identifying and graphing conic sections from an equation. Here, Sal graphs a circle that is not centered at the origin and a parabola that opens downward.
12 mins 10th - 12th Math
Instructional Video

Introduction to Conic Sections, Conic Sections, Algebra II

Khan Academy
Here, parabolas, circles, ellipses, and hyperbolas are introduced by showing a general graph of each. By showing the intersection of a plane and a cone to create the different conic sections, one can see how these curves are related.
11 mins 10th - 12th Math
Instructional Video

Identifying an Ellipse from Equation, Conic Sections, Algebra II

Khan Academy
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...
9 mins 10th - 12th Math
Instructional Video

Identifying an Ellipse From Equation, Conic Sections, Algebra II

Khan Academy
After watching this video, you should be able to write an equation for 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...
9 mins 10th - 12th Math
Instructional Video

Identifying Circles and Parabolas from Equations, Conic Sections, Algebra II

Khan Academy
This is the last of three well-done videos on identifying and graphing conic sections from an equation. Here, Sal shows how to graph a circle not centered at the origin and a parabola that opens downward.
12 mins 10th - 12th Math
Instructional Video

Foci of a Hyperbola, Conic Sections, Algebra II

Khan Academy
Sal defines a hyperbola's vertex and foci in this video 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...
15 mins 10th - 12th Math
Instructional Video

Conic Sections: Hyperbolas 2

Curated OER
Here is an example in this video of graphing a hyperbola centered at the origin. First, Sal shows solving for the equations of the asymptotes and then shows how to determine the direction of the hyperbola. He takes the approach of not...
8 mins 10th - 12th Math
Instructional Video

Conic Sections: Hyperbolas 3

Curated OER
Continuing with the study of graphing hyperbolas, Sal shows an example of graphing a parabola that is centered at a point off the origin. By looking at the equation, first without shifting it, he helps listeners develop an intuitive...
10 mins 10th - 12th Math
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