Pythagorean Relationship 1
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Pythagorean Relationship 1

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Intro lesson on Pythagorean Relationship for MS students.

Intro lesson on Pythagorean Relationship for MS students.

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Transcript

  • 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
  • 8. Activity
    • You will work in pairs…
    • You will need…
        • centimetre grid paper
        • scissors
    • Concept Development
    • Page 246, Questions 1-2
  • 9. So…who was Pythagoras?
    • Greek – described as the first pure mathemetician
    • Lived ~ 2500 years ago…
    • Led a secretive society, half scientific and half religious, that he founded in what is now southern Italy
  • 10. Pythagorean relationship hypotenuse legs
    • In a right triangle, the sum of the squares (area) of the legs is equal to the square (area) of the hypotenuse.
  • 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