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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

» 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

» 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

» 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

» 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

» Unit:

Conic Sections

Big Idea:Define an ellipse in three different ways.

Rotated Conic Sections - Day 1 of 2

12th Grade Math

» 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

» Unit:

Conics

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

The Ellipse (Day 3 of 3)

12th Grade Math

» 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

» Unit:

Conics

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

Hyperbolas

12th Grade Math

» 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

» 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

» 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

» 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

» Unit:

Conic Sections

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

Hashing Out Hyperbolas

12th Grade Math

» 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.