Conics

Explanation

• Notes | Answers | Annotated

• Khan video: Graphing circles from features

• Khan video: Features of a circle from its graph

• Khan video: Features of a circle from its standard equation

• Khan video: Graphing a circle from its standard equation

• Khan video: Writing standard equation of a circle

• Khan video: Features of a circle from its expanded equation

• Khan article: Circle equation review

• Graph of a sphere

Practice Problems:

• Worksheet

• Khan exercise: Graph a circle from its features

• Khan exercise: Features of a circle from its graph

• Khan exercise: Features of a circle from its standard equation

• Khan exercise: Graph a circle from its standard equation

• Khan exercise: Write standard equation of a circle

• Khan exercise: Features of a circle from its expanded equation

• Khan exercise: Graph a circle from its expanded equation

Explanation

• Notes | Answers | Annotated

• Khan video: Intro to ellipses

• Khan video: Ellipse standard equation from graph

• Khan video: Ellipse graph from standard equation

• Khan article: Ellipse features review

• Khan article: Ellipse equation review

• Khan video: Foci of an ellipse from equation

• Khan article: Ellipse foci review

• Elliptical Orbit of the planets

• 3D: ellipsoid

Practice Problems:

• Worksheet

• Khan exercise: Graph & features of ellipses

• Khan exercise: Center & radii of ellipses from equation

• Khan exercise: Ellipse standard equation & graph

• Khan exercise: Foci of an ellipse from radii

• Khan exercise: Foci of an ellipse from equation

• Khan exercise: Equation of an ellipse from features

Explanation

• Notes | Answers | Annotated

• Khan video: Vertices & direction of a hyperbola

• Khan video: Vertices & direction of a hyperbola (example 2)

• Khan video: Graphing hyperbolas (old example)

• Khan video: Foci of a hyperbola from equation

• Desmos: Ellipse and Hyperbola

Practice Problems:

• Worksheet

• Khan exercise: Vertices & direction of a hyperbola (easy; center is (0,0))

• Khan exercise: Foci of a hyperbola from equation

• Khan exercise: Equation of a hyperbola from features

Explanation

• Notes | Answers | Annotated

• Khan video: Intro to focus & directrix

• Khan article: Parabola focus & directrix review

Practice Problems:

• Worksheet

• Khan exercise: Equation of a parabola from focus & directrix

Explanation

• Notes | Answers | Annotated

• Khan video: Intro to conic sections

Practice Problems:

• Worksheet

Practice Problems:

• Worksheet