Evaluation/Assessment: Use teacher observation of the student work on the Internet to evaluate. Grade the worksheet based on correct work shown and accuracy of answers. Use a rubric for assessing the paragraph and notes.
Learner Outcomes:
1. The student will use the Pythagorean Theorem to derive the distance
formula used in the coordinate plane to find the distance between two points.
2. The student will solve problems using the distance formula.
3. The student will use the Internet to find information about the
development of the coordinate plane and some of the mathematicians involved.
Duration of Lesson: One fifty-minute class period.
Materials: Discovering the Distance Formula Worksheet, Discovering the Distance Formula Worksheet Key Part 1 and Part 2, graph paper, rulers, Distance Formula Practice Worksheet, Distance Formula Practice Worksheet Key, calculators, and computers
Technology Tools/Courseware: Internet
Teacher Notes:
Procedures:
1. Distribute the Discovering the Distance
Formula Worksheets.
2. Have the students access Explore
Math, click on "Points in the plane", and open the activity for the
Distance Formula. Have them to interact with the site and complete
the worksheet.
3. Ask the students to access Purple
Math, read the information, and study the examples.
4. Direct the students to write a summary including the distance
formula and at least one example in their notes. They may refer to
Syracuse
University site for another example.
5. Distribute the Distance Formula Practice
Worksheet, rulers, and graph paper. Students are expected to
graph the points, draw the line segment between the points, and the legs
forming a right triangle. Students will use the distance formula
to calculate the length of the segment. The teacher should work a
few problems from the worksheet with the class as guided practice.
6. Teacher option : This University
of Washington site has the distance formula with input boxes for the
x and y values and solves the equation for the student. Students
can use this site to check their work.
7. Instruct the students to use the Internet to find information
about when and who started working with a coordinate graphing system.
Challenge them to find another name for the coordinate system.
Ask the students to write a paragraph incorporating their findings.
Modifications: The teacher should make any accommodations indicated on Individual Education Plans. Peer tutoring may be beneficial to students.
Enrichment Activities: Ask students to
use the Internet to find out about Theodorus. Then follow directions
at ENC site
to construct the Wheel of Theodorus. Use the distance formula to
find the lengths of the segments.
Evaluation/Assessment: Use teacher observation
of the student work on the Internet to evaluate. Grade the worksheet
based on correct work shown and accuracy of answers. Use a rubric
for assessing the paragraph and notes.
West Virginia
IGOs:
Mathematics: 7.20, 7.25, 7.40, 7.47, 8.4, 8.18, 8.36,
AM1.14, Al.5, Al.18, G.12, G.17
Language Arts: 7.57, 8.49, 9.47
Social Studies: 6.41, 7.51, 10.38
National
Standards:
Mathematics
Uses a variety of strategies
in problem solving process
Understands and applies
basic and advanced properties of the concepts of geometry
Understands and applies
basic and advanced properties of functions and algebra
Language Arts
Uses the general skills
and strategies of the writing process
Uses grammatical and
mechanical conventions in written compositions
World History
Understands technological
and cultural innovation and change
Workplace process skills: PW.2, PW.8, PW.9, PW.10,
PW.27, PW.28, PW.36, and PW.44 
Job/Career Cluster: Engineering/Technical.
Authors: Dianne
Smith
Donna Pittman
Teresa Lester
Shady Spring Junior High School
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