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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.

Parabola Problem Partner Critiques

12th Grade Math

» Unit:

Conic Sections

Big Idea:A silent board game helps students recall how to complete the square then students critique the work of others in the AB partner activity.

The Parabola (Day 1 of 2)

12th Grade Math

» Unit:

Conics

Big Idea:Why does the equation of a parabola have only one variable squared?

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.

The Parabola (Day 2 of 2)

12th Grade Math

» Unit:

Conics

Big Idea:Why are the directrix and the focus important to understanding parabolas?

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?

Human Conics: Parabolas

12th Grade Math

» Unit:

Conic Sections

Big Idea:Students collaborate with partners to become a human conic section by drawing parabolas using rope and sidewalk chalk.

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.

Parabolas

12th Grade Math

» Unit:

Conic Sections

Big Idea:Guided examples of writing the equation of a parabola are followed by deeper reflection questions which students answer in their teams and share with the class.

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.

Pondering Parabolas

12th Grade Math

» Unit:

Conic Sections

Big Idea:Use a variety of tools for parabola problems.

Review Game: Lingo

12th Grade Math

» Unit:

Conic Sections

Big Idea:The game show Lingo inspires this conic section review.

Loci and Analtyic Geometry

Geometry

» Unit:

Analytic Geometry

Big Idea:Which came first, the algebra or the geometry? After this lesson, students will interplay between these two branches of mathematics.

Unit Review: Conic Sections

12th Grade Math

» Unit:

Conic Sections

Big Idea:Summarize the big ideas of this unit.

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.