Standard #: MAFS.912.G-GPE.1.3 (Archived Standard)


This document was generated on CPALMS - www.cpalms.org



Derive the equations of ellipses and hyperbolas given the foci and directrices.


General Information

Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Geometry: Expressing Geometric Properties with Equations
Cluster: Translate between the geometric description and the equation for a conic section. (Geometry - Additional Cluster) (Algebra 2 - Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved - Archived

Related Courses

Course Number1111 Course Title222
1202340: Precalculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1206320: Geometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1298310: Advanced Topics in Mathematics (formerly 129830A) (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))


Related Resources

Lesson Plan

Name Description
Ellipse Elements and Equations

Students will write the equation of an ellipse given foci and directrices using graphic and analytic methods.

Perspectives Video: Expert

Name Description
Sonification and Eccentricity of the Sun

You may know that you need to use your brain to do science, but did you know you need your ears, too?

Download the CPALMS Perspectives video student note taking guide.

Virtual Manipulative

Name Description
Cool Tool For Ellipses

Use this interactive GeoGebraTube tool to see how the foci and other graph characteristics are related to the equation of the ellipse.  Make sure you use the sliders to change the characteristics of your ellipse and pay attention to how the graph relates to its equation each time.

Student Resources

Virtual Manipulative

Name Description
Cool Tool For Ellipses:

Use this interactive GeoGebraTube tool to see how the foci and other graph characteristics are related to the equation of the ellipse.  Make sure you use the sliders to change the characteristics of your ellipse and pay attention to how the graph relates to its equation each time.



Printed On:4/16/2024 9:25:37 PM
Print Page | Close this window