Intro lesson on Pythagorean Relationship for MS students.

1. Measurement Pythagorean Relationship

2. Who was Pythagoras? Why all the fuss about some dead Greek guy? (585 or 565 - 500 B.C.)

3. It all started with the Pyramids! A couple thousand years before Pythagoras, the Egyptians used a unique method to make sure the base of each pyramid was square.

4. How NOT to build a pyramid…

5. Measuring a square corner using a …ROPE?? The Egyptian engineers used a rope tied together at the ends with 12 knots tied in equal distances around the rope.

6. Measuring a square corner using a …ROPE?? They knew that when the rope was shaped into a triangle with sides of 3, 4, and 5 it created a right angle between the sides of 3 and 4. 3 4 5

7. Important term… In a right angle triangle, the side of the triangle opposite the right angle is called the hypotenuse . hypotenuse legs

11. Pythagorean relationship a 2 + b 2 = c 2 a c b b Area = b 2 Area = a 2 a c Area = c 2

12. Assignment Handout sheet Page 482, Questions 1,2,4,5,6,7

13. Pythagorean theorem