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. 739 (3a, 4a,b, 5a,b, 7a)Finish Parabola Paper Droodle Graph |