Locus of a Circle
Objectives: Students will understand the definition of
locus and how to find the locus of points given certain conditions.
Lesson: Begin by having the students discuss their definition of a locus. After the discussion, provide a formal definition of locus and discuss how to find the locus. Finally, have the students work through an activity concerning the concept of locus.
In a plane, the locus is
the set of all points in a plane that satisfy a given condition or a
set of given conditions. It is the also thought of as the of an
object moving in a plane.
To find the locus for a given set of conditions, begin by drawing any figures or points given by the conditions. Then begin drawing any points that would satisfy the conditions described. Finally use this set of points to find the pattern under the given conditions and describe, in words, this pattern which is the locus.
The following activity can be done as an in class activity with ruler, compass, pencil, and graph paper. For the in class version in Word format click here, for the GSP sketches of this activity click here.
Activity: Finding the Locus
Conclusion: Have the students discuss the answers that
they found for each problem and how they found each answer.
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Developed by Katherine Huffman