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Do Now. What is a hyperbola? What is the equation of a hyperbola?. Objective. After teaching students how to understand and analyze the geometry of a hyperbola SWBAT understand and analyze the geometry of a hyperbola. Direct Instruction.

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Do Now

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Presentation Transcript

  1. Do Now What is a hyperbola? What is the equation of a hyperbola?

  2. Objective • After teaching students how to understand and analyze the geometry of a hyperbola SWBAT understand and analyze the geometry of a hyperbola

  3. Direct Instruction • What is a hyperbola, how can it be used in the real world? • Equation for a hyperbola • Find the focal axis, foci, vertices, semitransverse, semiconjugate axis’ and asymptotes of (x-0)2-(y-0)2=1 5 4

  4. Guided Practice • Find the focal axis, foci, vertices, semitransverse, semiconjugate axis’ and asymptotes of • (x+2)2-(y-5)2=1 9 49 *LORAN-Coast Guard

  5. Independent Practice • Find the focal axis, foci, vertices, semitransverse, semiconjugate axis’ and asymptotes of the building bellow • (x+2)2-(y-5)2=1 25 16

  6. Closure • What did we learn today?

  7. Exit Slip • Tomorrow we are going to learn how to use hyperbolas to solve real world problems. • Write one goal for tomorrows lesson.

  8. Do Now-Constructed Response10 Minutes • To find the equation of a parabola you need to find the vertex and use another point to find your “p” value. • Determine the equation of a parabola and explain how you got it and why it is the right equation.

  9. Objective • After teaching students how to use hyperbolas to solve real world problems such as long range navigation SWBAT use hyperbolas to solve real world problems

  10. Direct Instruction • Find the equation of the hyperbola with foci (-3, 0) and (3,0), whose conjugate axis has length 4.

  11. Guided Practice • -Find out how far out in the lake a swimmer is if: The life guard stand (center) of the hyperbola is (-3, 6) and the ocean meets the beach at (sqrt(12), 6). Also the Semiconjugate axis is sqrt(5).

  12. Independent Practice • Find out how far out in the ocean a stranded boat is if: The coast guard center is (center) placed at (0,0) and one vertices is (3, 0). Also the Semiconjugate axis is 2.

  13. Closure • What did we learn today?

  14. Exit Slip • Tell me • 3 Things you learned today • 2 Questions you have • 1 Thing you want me to know

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