Parabola Equation: Focus and Directrix
Free to teach as-is. Adapt it for your group in about two minutes.
Adapt this lesson for your groupObjective
I can derive the equation of a parabola based on its focus and directrix.
Part 1 of 3
Warm-up video
Unknown Channel · 5:00
We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 3
Practice
7 questions
Define a parabola in terms of its focus and directrix.
Explain the significance of the parameter 'p' in the equation of a parabola. What does it represent geometrically?
Part 3 of 3
Exit ticket
Quick comprehension check
“A parabola has a focus at (0, 4) and a directrix at y = -4. Find the equation of the parabola. A parabola has a focus at (-2, 0) and a directrix at x = 2. Find the equation of the parabola. A parabola has a focus at (3, 2) and a directrix at y = -2. Find the equation of the parabola.”
Sample answer included in the free materials
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Teacher guide, student handout, and slides — free, in Google Docs format
Teacher Guide
Complete lesson plan with answer keys and alternate activities
Student Handout
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