Lesson Plan #83
Class: Geometry Date: Wednesday April 23rd, 2014
To pic : Locus Aim: How do we find a locus of points for a given condition?
Objectives: 1) Students will be able to find the locus of points satisfying a condition.
HW # 83:
Do Now: Given point A, find the set of all points that are 5 units away from point A
PROCEDURE: Write the Aim and Do NowGet students working! Take attendance Give Back HWCollect HWGo over the Do Now
Question:What is a word that describes the set of all points, lines, or surfaces that satisfy a given requirement?
Online Activity:Let’s look up the word locus at http://dictionary.reference.com/browse/locus?s=t
Example:Describe and draw the locus of points equidistant from the endpoints of the given line segment.
A B
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Example:What is the locus of points in the interior of an angle equidistant from the rays that from the sides of the given angle?
Example:What is the locus of points that are equidistant from the vertices of two opposite angles of a square?
Example: What is the locus of points in the interior of a circle whose radius measures 3 inches, if the points are 2 inches from the circle?
Example:What is the locus of a car that is being driven down a street equidistant from two parallel curbs?
These examples cover some of the basic locus theorems or rules: Let’s look at them athttp://www.regentsprep.org/regents/math/geometry/GL1/What.htm
Exercises:1) The locus of points equidistant from the endpoints of a segment is the _____________ of the segment.
2) The locus of points in the interior of an angle that are equidistant from the sides of the angle is the _______ of that angle
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