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Transcript of Pythagorean Theorem
The $15,000 Question Hands-On Activities Activities In Summary... Jeopardy!!! http://www.math-play.com/Pythagorean-Theorem-Jeopardy/Pythagorean-Theorem-Jeopardy.html Where did the formula
come from? The Pythagorean Theorem was known to and used by many, including the Babylonians, for centuries before Pythagoras was credited for proving the theorem. In fact, he was not connected to the theorem until five centuries after his death, which is probably due to the secret life that he lived. Who is Pythagoras? Born in Samos, Ionia (Greek)
Little is known of his childhood, except that he had a father named Mnesarchus and a mother named Pythais (also he may have had two brothers).
Since few of his works were published, Pythagoras' life is a mystery. We do know that he had a secret inner circle, that he led, with an interesting set of beliefs.
Pythagoras studied the properties of numbers, believing that all numbers had their own personalities. On top of that, he was also known as a Philsopher (who would have figured). Worksheet 1: Fill out what suspect the answer is, then complete the activities as followed.
Online Game: Go to http://www.ixl.com/math/grade-8 and have some fun!
Worksheet 2: Real-World Problems
Worksheet 3: Using Geogebra Exit Slip: Using the Pythagorean Theorem, find the area of an equilateral triangle whose side measures 5 units. Find the area to the nearest tenth of a square unit. 570 B.C.-495 B.C. The formula is commonly used to find the length of the hypotenuse (or longest side) of a right triangle, but its purpose is to find the length of a missing side. In order to find the missing side, you square the two known sides, add them together and then take the square root of the sum. Area of whole square=
a² + 2ab + b²
Area of parts= c² + 4(1/2)ab Area of the bigger square= Area of the two smaller squares Now let's prove the theorem!! Group Work
1. Get into 5 groups of 4 people each
2.Go to this website: http://www.cut-the-knot.org/pythagoras/
3.Within your groups, choose one proof to read, learn, and teach to the rest of the class.
What is the Pythagorean Theorem and how do you use it? Why does this matter? Student Objectives: Students will be able to state the Pythagorean Theorem
Students will be able to explain a proof of the Pythagorean Theorem
Students will be able to identify, apply, and use the Pythagorean Theorem in given problems
Students will be able to check Pythagorean Theorem problems using GeoGebra a^2 + b^2 = c^2