Quote of the Day:
"When you are courting a nice girl an hour seems like a
second. When you sit on a red-hot cinder a second seems
like an hour. That's relativity." -- Albert Einstein
Objectives:
The student will analyze given hyperbolas.
The student will write the equation for an hyperbola given
certain information.
1. Definition of an Hyperbola:
An hyperbola is the set of points in a plane whose
distances from two fixed points have a constant
difference.
2. Distribute a copy of the Hyperbola paper to each
student. Have each student trace out an hyperbola while
I do one at the overhead. The purpose of this is to
have students understand the definition of the hyperbola
by locating points which satisfy the definition.
Hyperbola Paper
3. Develop the equation for an hyperbola with center at the
origin, foci at (-c, 0) and (c, 0), and constant
difference equal to 2a.
Given foci are (-c, 0) and (c, 0)
Let the constant difference = 2a
4. The general forms for an hyperbola are:
5. Examples:
6. Assignment:
Finish Hyperbola Paper
p. 761 (15a, 16a,b, 17b, 20a, 33a, 34b, 35b, 50)
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