Derive parabola equation
Start lessonBegins with Derive parabola equation · Slides
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
HSG.GPE.A.2
**HSG.GPE.A.2**: Derive the equation of a parabola given a focus and directrix.
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HSG.GPE.A.2: Derive the equation of a parabola given a focus and directrix.
What you'll learn
- Define a parabola as the locus of points equidistant from a fixed point (focus) and a fixed line (directrix)
- Derive the equation of a parabola with vertex at the origin, focus at (0, p), and directrix y = -p, obtaining y = x^2/(4p)
- Identify the focus, directrix, and vertex of a parabola from its equation in standard form
- Write the equation of a parabola given its focus and directrix for both vertical and horizontal orientations
- Connect the geometric definition of a parabola to the vertex form of a quadratic function y = a(x - h)^2 + k
Review first:
Slides
Step through the lesson, or watch it as a narrated video • 2 slide decks
1
Derive parabola equation
✓ Start here2
Parabola orientations applications
Practice
Try it on your own
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