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The Pythagorean Theorem is for squares!

Introductory lesson teaching the Pythagorean Theorem utilizing Khan Academy videos
by

Michelle Beavers

on 27 May 2014

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Transcript of The Pythagorean Theorem is for squares!

The Pythagorean Theorem is for squares!
Basic concept of Pythagorean Theorem
Visual concept of Pythagorean Theorem
4. When you square a number (as in 5 ) it is the same idea as finding the area of a square shape with that number for the length of each side.
Pythagorean Theorem real life problem solving
Hypotenuse
Side C
Side C is the hypotenuse
Side A
Side B
The Right Triangle
The hypotenuse, or
Side C, is always opposite the right angle.

Watch the video

1. What is the name of this formula? A = B + C
when C is the hypotenuse.
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A. I have no idea
B. The Pythagorean Theorem
C. The Alphbetorean Theorem
2. In the Pythagorean Theorem the "A" in the formula stands for Area.
True or False
Watch the video
3. The label "C" in the formula can only be put on the side that is across from the right angle in the triangle.
True or False
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5
5
A. Correct if the square has only one right angle
B. Correct in all cases
C. True only when the shape is made with the Pythagorean Theorem
Watch this video
A. By looking for the side labeled either "A" or "B" and figuring out which one is to the right of the 90 degree angle
B. There is no way to know which is the longest till it is solved
C. By looking for the side labeled "C" or the Hypotenuse
5. The longest side of any Pythagorean Theorem triangle can be found:
Pythagorean Theorem on your own
https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/e/pythagorean_theorem_1
Click on the link to go to Khan Academy. When you have completed 5 quiz questions in a row correctly (without using the hint feature) the exercise will end automatically giving you a score. Take a screen shot of the page and send it to my email.
and answer the questions on your white board.
and answer the questions on your white board.
and answer the questions on your white board.
SIde A and B are legs that can be labeled either A or B, they are interchangable and the formula will not change no matter which one is labeled an A or B
6. Pythagorus, a philosopher, wanted to walk to the theatre, but since he did not have shoes (due to his belief in natural and pure living that was also practiced by his followers) he had to walk 30 yards straight west and then turn down another street and walk due north 40 yards. If he had sandals on and could walk through
the sticker bush field, how many yards would he walk if he walked directly home?
Real important concept!
Last step! Work on making 3 real world problems (and their complete worked out solutions) using the Pythagroean Theorem till we begin the end of class wrap up with the white boards (10 minutes before class ends). Your "very creative" 3 Pythagorean Theorem problems will be turned in tomorrow as your homework. Top 5 most creative submissions earn extra credit!! And for extra credit you can look up the Law of Cosine: What is it useful in doing/used for and write a brief statement for turning in.

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