Euclid: The Elements•Grade 7•dialectic Stage
The Pythagorean Theorem
The Text
What You'll Learn
1
Comprehension
States the theorem: "the square on the hypotenuse...is equal to the sum of the squares on the other two sides"
2
Cause & Consequence
Explains why CL is drawn parallel to AG: it creates the parallelogram AL that can be compared to squares
3
Meaning
Distinguishes between knowing and proving: "The theorem was known...over 4,000 years" but Euclid showed WHY it must be true
4
Defense
Explains why the counterargument has merit
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- 1.Read the text carefully
- 2.Answer the tutor's questions in your own words
- 3.Progress through each stage as you demonstrate understanding
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