HSG-GPE.A.2

Scroll Up

- 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.

Scroll Down

## 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)

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)

### 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:

#### 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)

### 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:

#### 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)

Common Core Math

### Kindergarten

### First Grade

### Second Grade

### Third Grade

### Fourth Grade

### Fifth Grade

### Sixth Grade

### Seventh Grade

### HS Number & Quantity

### HS Algebra

### HS Functions

### HS Geometry

### Kindergarten

### First Grade

### Second Grade

### Third Grade

### Fourth Grade

### Fifth Grade

### Sixth Grade

### Seventh Grade

### Eighth Grade

### Ninth and Tenth Grade

### Kindergarten

### First grade

### Second grade

### Third Grade

### Fourth grade

### Fifth grade

### Middle School

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Kindergarten

First grade

Second grade

Third Grade

Fourth grade

Fifth grade

Middle School