Instructional Video12:52
Khan Academy

Parametric Equations 3, Parametric Equations and Polar Coordinates, Precalculus

10th - 12th
Following his intuitive manner, Sal considers another set of parametric equations. This time, he looks at two equations using trigonometric functions and, using one of the basic trigonometric identities, removes the parameter from the...
Instructional Video13:49
Khan Academy

Foci of an Ellipse, Conic Sections, Algebra II

10th - 12th
The foci of an ellipse are explored in this video. First, foci are shown as the two points on the central 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...
Instructional Video15:24
Curated OER

Foci of a Hyperbola

10th - 12th
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...
Instructional Video14:50
Khan Academy

Proof: Hyperbola Foci, Conic Sections, Algebra II

10th - 12th
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...
Instructional Video13:49
Khan Academy

Foci of an Ellipse, Conic Sections, Algebra II

10th - 12th
The foci of an ellipse are explored in this video. First, foci are shown as the two points on the central 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...
Instructional Video15:24
Khan Academy

Foci of a Hyperbola, Conic Sections, Algebra II

10th - 12th
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...