Warm-Up Please review the equations written on the board. If you find that an equation represents a conic section, please make a note of the type it represents.

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Presentation transcript:

Warm-Up Please review the equations written on the board. If you find that an equation represents a conic section, please make a note of the type it represents. I will be calling on specific individuals in order to share your conclusions with the class.

Learning Objectives Solve applied problems involving parabolas and ellipses

Conic Sections Formula Sheet Please take time to look over the conic sections formula sheet I have handed out. Using your notes and textbook, please attempt to fill in the appropriate formulas for the parabola and ellipse. We will fill out the hyperbola section tomorrow

Real World Applications Please take time to complete the word problem worksheet that has been handed out Feel free to work in pairs/groups. Make sure to show your work. Please ask questions if you are having difficulty Draw a picture! It usually helps…

Learning Objectives Solve applied problems involving parabolas and ellipses

Conic Sections – The Hyperbola

Warm-Up

Comparison A hyperbola is the set of all points P(x, y) in the plane such that | PF 1 - PF 2 | = 2a If F 1 (c, 0) and F 2 (-c, 0) are two fixed points in the plane and a is a constant, 0< c < a, then the set of all points P in the plane such that PF 1 + PF 2 = 2a is an ellipse. F 1 and F 2 are the foci of the ellipse.

Learning Objectives Analyze hyperbolas with center at the origin Find the asymptotes of a hyperbola Analyze hyperbolas with center at (h,k)

Transverse Axis vs. Conjugate Axis

Let’s Try

Station Activity In groups, you will participate in an activity covering one of 5 topics. You will have 10 minutes to work on each station Please notify me if your group finishes early so that I can give you the next task.

Learning Objectives Analyze hyperbolas with center at the origin Find the asymptotes of a hyperbola Analyze hyperbolas with center at (h,k)

Wrap Up Activities 1.Frayer Model Write-Up 2.What was the Muddiest Point?

Learning Objectives Identify a conic Identify conics without a rotation of axes

Warm-Up

General Form

General Form to Standard Form

You try…

Learning Objectives Identify a conic Identify conics without a rotation of axes

Exit ticket What would the general form of the equation describing the graph below be?