ALEX Classroom Resource

  

Finding the Foci of an Ellipse From an Equation

  Classroom Resource Information  

Title:

Finding the Foci of an Ellipse From an Equation

URL:

https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:conics/x9e81a4f98389efdf:ellipse-foci/v/foci-of-an-ellipse

Content Source:

Other
Khan Academy
Type: Learning Activity

Overview:

In this instructional video and practice activity from Khan Academy, students will explore how the radii and the foci of an ellipse relate to each other and how this relationship can be used to find the foci from the equation of an ellipse. This video can be used during a lesson on solving systems of equations. The video is 13 minutes and 48 seconds in length and can be assigned through Google Classroom. There are practice problems included after the video.

Khan Academy is a free resource for teachers. Teachers can sign up for a free account to access additional resources.

Content Standard(s):
Mathematics
MA2015 (2016)
Grade: 9-12
Precalculus
37 ) (+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant. [G-GPE3]

Tags: ellipse, equations, foci, radii
License Type: Custom Permission Type
See Terms: https://www.khanacademy.org/about/tos
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
Partnered Event: ALEX Resource Development Summit
AccessibilityVideo resources: includes closed captioning or subtitles
Comments

2019 ALCOS

Precalculus

37. Use trigonometric identities to solve problems.

a. Use the Pythagorean identity sin^2 (θ) + cos^2(θ) = 1 to derive the other forms of the identity.
Example: 1 + cot^2 (θ) = csc^2 (θ)

b. Use the angle sum formulas for sine, cosine, and tangent to derive the double angle formulas.

c. Use the Pythagorean and double angle identities to prove other simple identities.

  This resource provided by:  
Author: YVETTE AKRIDGE
The event this resource created for:ALEX Resource Development Summit