Pythagorean Theorem #3

The student will study the background to the Pythahorean Theorem and how it was proven. Included in this study will be of Pythagoras, the Babylonians, the Egyptians, the Chinese and of Olga Taussky-Todd.

With this background, students will make the connection between the areas and the lengths of the sides of a right triangle.

The student should be able to recognize the area formula for a square and a triangle. There will be a review of solving an algebraic problem involving radicals.

This lesson will be on a web page. Students will work individually on the lessson.

Monitor and reflect on their mathematical thinking in solving problems
Recognize reasoning and proof as essential and powerful parts of mathematics
Make an investigate mathematical conjectures

The student should be able to recognize the area formula for a square and a triangle. There will be a review of solving an algebraic problem involving radicals.

This lesson is design to guide the student's learning on a web base lesson. Students will work individually on computers.

In the last 20 minutes of class, there will be a teacher quided discussion on what the students discovered upon completing the lesson.
Questions asked:
a. Who was Pythagoras?
b. What was the connection between the Babylonians, the Egyptians, the Chinese and the Pythagorean Theorem?
c. Who can explain the Pythagoren Theorem?
d. What is the connection between the areas and the lengths of the sides of a right triangle?

The teacher will then demostrate the theorem by doing a few examples.

NA

The computer and using a web based lesson.