Pythagorean Theorem Differentiated Instruction for Use in an ...
Pythagorean Theorem Differentiated Instruction for Use in an ...
Pythagorean Theorem Differentiated Instruction for Use in an ...
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Name: ___________________________________<br />
Activity: Ancient Egypti<strong>an</strong> Survey<strong>in</strong>g<br />
The Nile River flooded <strong>an</strong>nually destroy<strong>in</strong>g property boundaries <strong>in</strong> <strong>an</strong>cient Egypt. The<br />
<strong>an</strong>cient Egypti<strong>an</strong>s used the <strong>Pythagore<strong>an</strong></strong> <strong>Theorem</strong> to make a l<strong>an</strong>d survey<strong>in</strong>g tool which<br />
they used to reestablish boundaries.<br />
1. <strong>Use</strong> a pen or marker to divide your str<strong>in</strong>g <strong>in</strong>to 12 equal segments. Tape the ends of<br />
the str<strong>in</strong>g together to <strong>for</strong>m a loop.<br />
2. Try to <strong>for</strong>m a right tri<strong>an</strong>gle with the side lengths that are whole numbers.<br />
If you are hav<strong>in</strong>g difficulty, ask someone to help you hold your str<strong>in</strong>g. <strong>Use</strong> the<br />
corner of a sheet of paper to measure your <strong>an</strong>gle.<br />
What are the side lengths of the tri<strong>an</strong>gle you <strong>for</strong>med?<br />
Do these side lengths reflect the <strong>Pythagore<strong>an</strong></strong> <strong>Theorem</strong>?<br />
Demonstrate your <strong>an</strong>swer.<br />
Do you th<strong>in</strong>k a 6, 8, 10 tri<strong>an</strong>gle is a right tri<strong>an</strong>gle?<br />
Expla<strong>in</strong> your <strong>an</strong>swer.<br />
Check your <strong>an</strong>swer us<strong>in</strong>g the <strong>Pythagore<strong>an</strong></strong> <strong>Theorem</strong>.<br />
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