Getting the Goods on Graphing
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Velma Elois Rouse DeWitt Clinton
6110 N. Fairfield Av.
Chicago IL 60659
To graph ordered pairs in the coordinate plane
To identify ordered pairs in the coordinate plane
To write the coordinates of points shown on a plane
To create designs or pictures using ordered pairs
Graph paper (3 or more sheets per student)
Rulers (1 per student)
Pencils (1 per student)
Overhead projector transparencies
Maps (2 per student)
Give each student a map that has the index and grid markings removed. Instruct
the students to locate certain points. After a brief span of time, distribute
the maps with indexes and all markings in place. Again, instruct the students
to locate certain points. Lead the students to discover the usefulness of
Distribute graph paper. Have the students construct a coordinate plane.
Demonstrate on the overhead projector. Label the axes, stressing that the
horizontal axis is x and the vertical axis is y. Explain the point of origin
and the negative and positive x and y locations. Allow sufficient time for
students to practice locating points and naming coordinates.
Have the students locate ordered pairs on their graph paper and connect the
points in order. Plan for the connected points to form a geometric figure.
Prepare in advance a different set of ordered pairs for each student. Plan for
the resulting figures to coincide with a current event, holiday, or school
program. Display the finished graphs in a prominent place.
Each student will create his or her own picture or design on graph paper and
write the ordered pairs. The ordered pairs will then be given to other
students. The student who created the design will be expected to correctly
write ordered pairs that will duplicate the design. The student who graphs the
ordered pairs will be expected to correctly duplicate the design. Both of these
performances should be completed with 95% accuracy.
The students will realize that the skills they have acquired will be useful in
many areas besides mathematics. Other disciplines that utilize graphs are
science, geography, economics, and computers. With the use of and interest in
computers continuing to grow, students will be made aware of a career choice in
computer-aided design (C.A.D.).
Africans invented rectangular coordinates by 2650 B.C. and used them to make
scale drawings and star-clocks in ancient Egypt.