Pythagorean
Theorem
A WebQuest for 9th Grade Geometry Designed by Frank J.
Tozlu
Introduction | Task | Process | Evaluation | Conclusion Pythagorean's Theorem has been solved several hundred different ways. Pythagoras, for whom the famous theorem is named, lived during the 6th century B.C. on the island of Samos in the Aegean Sea, in Egypt, in Babylon and in southern Italy. Pythagoras was a teacher, a philosopher, a mystic and, to his followers, almost a god. His thinking about mathematics and life was riddled with numerology. The Pythagorean Theorem
exhibits a fundamental truth about the way some pieces of the world fit
together. Many mathematicians think that the Pythagorean Theorem is the
most important result in all of elementary mathematics. It was the
motivation for a wealth of advanced mathematics, such as Fermat's Last
Theorem and the theory of Hilbert space. The Pythagorean Theorem
asserts that for a right triangle, the square of the hypotenuse is
equal to the sum of the squares of the other two sides: a^{2} + b^{2}
= c^{2}
It is also in this
section that
you'll communicate the Big Question (Essential Question, Guiding
Question)
that the whole WebQuest is centered around. The Task
Obtain the
Pythagorean Theorem as discovered by President J.A. Garfield in 1876. You will be
given the essential elements in which Garfield used to prove this
theorem. Check out the web links below to search for critical
clues to obtain the solution. The
Process1. Find the formula for the area of a Trapizoid! 2.
Find the formula for the area of a Triangle!Trapezoid Triangle The trapezoid will be constructed from two equal triangles with legs a and b. These two triangle together will form your trapiziod by connecting a line between the bases of the formed trapiziod made by the triangles. Your figure should look something like this: Set the area of the trapiziod equal to the sum of the areas of the three figures contained in your constructed trapezoid as shown above. Solve this equation, President Garfield did, to obtain the Pythagorean Theorem: a^{2}
+ b^{2}
= c^{2}Please show your all your work on a document to be handed in upon completion of the solution. Evaluation
Performance will be
evaluated in accordance the following scale. All grades are given as a
group.
Conclusion
Put a couple of sentences here that summarize what they will have accomplished or learned by completing this activity or lesson. You might also include some rhetorical questions or additional links to encourage them to extend their thinking into other content beyond this lesson. |