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- HSG-GPE.A.1Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
- HSG-GPE.A.2Derive the equation of a parabola given a focus and directrix.
- HSG-GPE.A.3Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.

Ellipses

12th Grade Math

Â» Unit:

Conic Sections

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.

Conics Sections with Princess the Dog

12th Grade Math

Â» Unit:

Conic Sections

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

Wax Paper Activity (Day 1 of 2)

12th Grade Math

Â» Unit:

Conics

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.

Wax Paper Activity (Day 2 of 2)

12th Grade Math

Â» Unit:

Conics

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

Exploring Ellipses

12th Grade Math

Â» Unit:

Conic Sections

Big Idea:Define an ellipse in three different ways.

Rotated Conic Sections - Day 1 of 2

12th Grade Math

Â» Unit:

Conic Sections

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

The Ellipse (Day 1 of 3)

12th Grade Math

Â» Unit:

Conics

Big Idea:How is an ellipse different than a circle?

The Ellipse (Day 3 of 3)

12th Grade Math

Â» Unit:

Conics

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

The Hyperbola (Day 1 of 2)

12th Grade Math

Â» Unit:

Conics

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

Hyperbolas

12th Grade Math

Â» Unit:

Conic Sections

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

Conic Sections Unit Test

12th Grade Math

Â» Unit:

Conic Sections

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

Conic Sections Test Review

12th Grade Math

Â» Unit:

Conic Sections

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

Parabolas and Review of Line-sanity!

Geometry

Â» Unit:

Line-sanity!

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.

Unit Assessment: Conic Sections

12th Grade Math

Â» Unit:

Conic Sections

Big Idea:Assess your students' understanding of this unit.

Hashing Out Hyperbolas

12th Grade Math

Â» Unit:

Conic Sections

Big Idea:Analyze hyperbolas using three different lenses.

HSG-GPE.A.1

Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

HSG-GPE.A.2

Derive the equation of a parabola given a focus and directrix.

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.