THE PYTHAGOREAN THEOREM
Lesson title: Activities connected with the Pythagorean Theorem
Subject and Grade Level: 9 - 12th grade Mathematics
Brief Description: The investigation of selected activities connected with the theorem, which serves as the basis of the distance between two points.
Objectives —The students will be able to:
1. Recognize the importance of the Pythagorean theorem to find the length of a line segment.
2. Read written presentations of mathematics with understanding.
3. Understand the concept of Pythagorean Triples.
4. Demonstrate proofs of the theorem other than a Euclidean proof.
Educational/Skills Goals (Include academic (standards) and Internet goals)
1. Represent situations that involve variable quantities with expressions and equations.
2. Ask clarifying and extending questions related to mathematics they have read or heard about.
3. Appreciate the power of mathematical abstraction and symbolism.
4. Be able to conduct research (locate, analyze, conclude)
Materials
- Computer with Internet connection
- Word Processor
- Pencil and Paper
- Ruler
- Scissors
Internet resources involved (web addresses)
URL: Reference: http://www.touchplate.com/location.html
Other Resources: School textbooks ; Encyclopedias
Procedure:
- At the Proofs site find three proofs of the theorem. Include President Garfield's proof.
- Draw diagrams showing the development of each proof. Indicate the lengths by means of variables.
- Write a paper of at least 300 words about Pythagoras and his society.
- Prepare an oral report, or a written paper, on "How the Pythagorean Theorem affected the ancient world and our world today".
- Write a computer or graphing calculator program to generate a list of Pythagorean Triples for values up to 100
Timeline: 3 weeks
Non-Internet Activities: Class assignments on the formula required to find the length between two points. proofs of the Pythagorean theorem using Euclidean Geometry.
Internet Activities: see above procedure
Assessment (Evaluation): The following Rubric was established for assessment of the project.
Excellent = 4 Very Good =3 Fair =2 Poor =1
Managed time wisely 4 3 2 1 Used computer and 4 3 2 1 books as resources Documented resources 4 3 2 1 Wrote clear, coherent, and detailed information 4 3 2 1 Presented to the class 4 3 2 1 Organized information 4 3 2 1
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After the lesson is taught, review the following:
Set-Up Time Required
Class Time Required
Problems and Issues that were encountered
Successes
Recommendations for Improvement |