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Quote of the Day:
"The function of education is to teach one to think
intensively and to think critically. Intelligence plus
character - that is the goal of true education."
-- Martin Luther King, jr
Objective:
The student will review the definition of a parabola.
1. How do we define a parabola (the locus definition)?
Definition: A parabola is the set of points equidistant
from a given point and a given line.
The given point is called the focus and the
given line is called the directrix.
2. Distribute a copy of the "parabola paper" to each
student. Have each student trace out a parabola while I
do one at the overhead. The purpose of this is to have
students understand the definition of the parabola by
locating points which are the same distant to a point as
they are to a line.
3. Develop the equation for a parabola which opens up and has its vertex at the origin. Let p = distance from the vertex to the focus. Then the coordinates of the focus are (o, p). The vertex would be (0, 0). The equation of the directrix would be y = -p.
4. The four general formulas for parabolas:
5. Examples
6. Assignment: p. 761 (3a, 4a,b, 5a,b, 7a)Finish Parabola Paper Droodle Graph |