Proof of the Pythagorean Theorem
Name: ___________________ Teacher:
Date : ___________________ Title of Work: ___________________
 
Criteria
Points
1
2
3
4
 
Right triangle Investigation
Student found the areas for 1/3 of the square sides, but did not find them all, which inhibited them from finding the square roots
Student found the areas for 2/3 of the square sides, but did not find them all, which inhibited them from finding the square roots
Student was able to find the area of the squares but did not find the side lengths or take the square roots.
Student found the areas of the sides of the triangle by creating triangles and squares, and used this information to find the square roots in order to find the side lengths.
____
Acute Triangle Investigation
Student found the areas for 1/3 of the square sides, but did not find them all, which inhibited them from finding the square roots
Student found the areas for 2/3 of the square sides, but did not find them all, which inhibited them from finding the square roots
Student was able to find the area of the squares but did not find the side lengths or take the square roots.
Student found the areas of the sides of the triangle by creating triangles and squares, and used this information to find the square roots in order to find the side lengths.
____
Obtuse Triangle Investigation
Student found the areas for 1/3 of the square sides, but did not find them all, which inhibited them from finding the square roots
Student found the areas for 2/3 of the square sides, but did not find them all, which inhibited them from finding the square roots
Student was able to find the area of the squares but did not find the side lengths or take the square roots.
Student found the areas of the sides of the triangle by creating triangles and squares, and used this information to find the square roots in order to find the side lengths.
____
Task card: Discovering the Pythagorean Theorem
Student did not attempt to find the relationship/relationship was incoherent.
Student was not able to find an accurate relationship that existed between the sides and the areas of the sides of the triangles
Student was able to look at the table and visuals that they created in order to recognize the relationship between the side lengths and the areas of the squares to discover the Pythagorean theorem. They were not able to tell if this relationship was exclusive to right triangles
Student was able to look at the table and visuals that they created in order to recognize the relationship between the side lengths and the areas of the squares to discover the Pythagorean theorem. They also found that it only worked for right triangles.
____
BONUS: Creating their own triangles
Student created one more triangle of their own to further investigate this theory. + 2 pts
Student created two triangles of their own to further investigate this theory. + 5 pts
Student created all three triangles of their own to further investigate this theory. +10 pts
____
       
Total---->
____

Teacher Comments:

 


This rubric is from www.TeacherJet.com