HSG-GPE.A.3

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.

 
21 Lesson(s)
   

Ellipses

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

After learning to write the equation of an ellipse, students design an elliptical pool table that would guarantee that even the worst player can always make a shot.

 
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Resources (19)
ellipitcal pool table
   

Conics Sections with Princess the Dog

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Students will refresh their knowledge of conic sections using an interactive format.

 
Favorites (1)
 
Resources (21)
 
Reflections (2)
untitled
   

Wax Paper Activity (Day 1 of 2)

12th Grade Math » Unit: Conics
12th Grade Math » Unit: Conics
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

Through a poster students place wax paper designs made in previous lessons on a graph then determine the equation for the conic represented by the design.

 
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Resources (25)
 
Reflections (4)
conic project
   

Exploring Ellipses

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Define an ellipse in three different ways.

 
Favorites (1)
 
Resources (12)
 
Reflections (1)
untitled
   

Wax Paper Activity (Day 2 of 2)

12th Grade Math » Unit: Conics
12th Grade Math » Unit: Conics
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

How can I put a conic on a coordinate plane so that an equation can be found?

 
Favorites (1)
 
Resources (22)
 
Reflections (4)
conics example
   

Rotated Conic Sections - Day 1 of 2

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

y = (1/x) is a hyperbola, but why is its equation so different than other hyperbolas?

 
Favorites (1)
 
Resources (11)
 
Reflections (1)
untitled
   

The Ellipse (Day 1 of 3)

12th Grade Math » Unit: Conics
12th Grade Math » Unit: Conics
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

How is an ellipse different than a circle?

 
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Resources (17)
 
Reflections (1)
ellipse
   

The Ellipse (Day 3 of 3)

12th Grade Math » Unit: Conics
12th Grade Math » Unit: Conics
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

How can I determine the equation is an ellipse by looking at the equation.

 
Favorites (1)
 
Resources (26)
 
Reflections (2)
copy of ellipse
   

The Hyperbola (Day 1 of 2)

12th Grade Math » Unit: Conics
12th Grade Math » Unit: Conics
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

How are the definition and standard equation similar to the ellipse's definition and equation?

 
Favorites (1)
 
Resources (17)
hyperbola lesson image
   

Hyperbolas

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Students identify and make use of the structure of an equation as they learn to graph hyperbolas.

 
Favorites (3)
 
Resources (16)
hyperbolas image
   

Conic Sections Unit Test

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Students show their personal knowledge of graphing and writing equations for conic sections.

 
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Resources (4)
exam
   

Parabolas and Review of Line-sanity!

Geometry » Unit: Line-sanity!
Geometry » Unit: Line-sanity!
Stephanie Conklin
Saratoga Springs, NY
Environment: Suburban
 
Big Idea:

Students will fold away to discover the relationship between a focus, directrix and parabola as well as play Jeopardy to review key topics in Line-sanity unit including alternate interior angles.

 
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Resources (22)
 
Reflections (2)
lots of lines review of line sanity image
   

Conic Sections Test Review

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Students work together and ask questions as they prepare for tomorrow's unit test.

 
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Resources (4)
copy of review image
   

Hashing Out Hyperbolas

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Analyze hyperbolas using three different lenses.

 
Favorites (1)
 
Resources (11)
 
Reflections (1)
untitled
   

Review Game: Lingo

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

The game show Lingo inspires this conic section review.

 
Favorites (2)
 
Resources (6)
copy of untitled
Common Core Math
 
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