HSG-GPE.A.2

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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.

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## HSG-GPE.A.2

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

17 Lesson(s)

### Parabola Problem Partner Critiques

12th Grade Math »
Unit: Conic Sections

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.

Standards:

Resources
(18)

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.

Standards:

Favorites
(1)

Resources
(25)

Reflections
(4)

Big Idea:

#### Why are the directrix and the focus important to understanding parabolas?

Standards:

Favorites
(3)

Resources
(19)

Reflections
(1)

Big Idea:

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

Standards:

Favorites
(1)

Resources
(22)

Reflections
(4)

### Human Conics: Parabolas

12th Grade Math »
Unit: Conic Sections

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.

Standards:

Favorites
(2)

Resources
(12)

### Conic Sections Unit Test

12th Grade Math »
Unit: Conic Sections

12th Grade Math »
Unit: Conic Sections

Big Idea:

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

Standards:

Favorites
(2)

Resources
(4)

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.

Standards:

Resources
(15)

### Conic Sections Test Review

12th Grade Math »
Unit: Conic Sections

12th Grade Math »
Unit: Conic Sections

Big Idea:

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

Standards:

Favorites
(2)

Resources
(4)

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.

Standards:

Favorites
(1)

Resources
(22)

Reflections
(2)

### Unit Assessment: Conic Sections

12th Grade Math »
Unit: Conic Sections

12th Grade Math »
Unit: Conic Sections

Big Idea:

#### Assess your students' understanding of this unit.

Standards:

Favorites
(1)

Resources
(5)

Reflections
(1)

Big Idea:

#### Use a variety of tools for parabola problems.

Standards:

Favorites
(1)

Resources
(8)

Big Idea:

#### The game show Lingo inspires this conic section review.

Standards:

Favorites
(2)

Resources
(6)

Big Idea:

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

Standards:

Resources
(14)

Reflections
(2)

### Unit Review: Conic Sections

12th Grade Math »
Unit: Conic Sections

12th Grade Math »
Unit: Conic Sections

Big Idea:

#### Summarize the big ideas of this unit.

Standards:

Favorites
(2)

Resources
(5)

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HS Algebra

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